مذكرة تحقق من فهمك رياضيات 4

‫المملكة العربية السعودية‬ ‫إدارة التعليم العام‬ ‫ثانوية ‪.............‬‬ ‫ملخص أوراق عمل تحقق من فهمك‬ ‫لمقرر ‪ :‬رياضيات ‪4‬‬ ‫العام الدرا يس‪144...... :‬هـ‬ ‫الشعبة‪:‬‬ ‫اسم الطالب‪:‬‬ ‫الرقم الأكاديمي‪:‬‬ ‫معلم المادة‪:‬‬ ‫الرؤية‬ ‫جيل مبدع لمستقبل واعد يحقق الريادة‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 1‬رضب العبارات النسبية وقسمتها‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪1‬‬

)4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 2

‫(‪)6‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪3‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 2‬جمع العبارات النسبية وطرحها‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪4‬‬

)3( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 5

)5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 6

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 3‬تمثيل دالة المقلوب بياني ًا‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪7‬‬

‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪8‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 4‬تمثيل الدالة النسبية بياني ًا‬ ‫(‪)1‬‬ ‫‪ ] 1‬مثل الدالة بيانيا‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................‬‬ ‫‪.............................. ........................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫مثل كلا من الدوال الآتية بيانيا ‪:‬‬ ‫‪............................. ......................................................................................................‬‬ ‫‪.‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪9‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 5‬دوال التغ ري‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪10‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 1 - 6‬حل المعادلات والمتباينات النسبية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪11‬‬

)2( )2 .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )3( )3 .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )4( ) 4B ) 4A .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 12

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 2 - 1‬المتتابعات بوصفها دوال‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪............................. ......................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪13‬‬

‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)6‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪14‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 2 - 2‬المتتابعات والمتسلسلات الحسابية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪15‬‬

)4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )6( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 16

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 2 - 3‬المتتابعات والمتسلسلات الهندسية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪17‬‬

)4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )6( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 18

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ ) 2 - 4‬المتسلسلات الهندسية اللانهائية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪19‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )2 - 5‬نظرية ذات الحدين‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪20‬‬

)3( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 21

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )2 - 6‬ال ريهان بالاستقراء الريا ر يض‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪22‬‬

)2( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )3( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 23

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )3 - 1‬تمثيل فضاء العينة‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪24‬‬

‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪25‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )3 - 2‬الاحتمال باستعمال التباديل والتوافيق‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪26‬‬

‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪27‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )3 - 3‬الاحتمال الهند يس‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪28‬‬

‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪29‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )3 - 4‬احتمالات الحوادث المستقلة‬ ‫والحوادث غ ري المستقلة‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪30‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )3 - 5‬احتمالات الحوادث المتنافية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪31‬‬

‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪32‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 1‬الدوال المثلثية ر يف المثلثات القائمة‬ ‫الزاوية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪33‬‬

‫(‪)4‬‬ ‫‪......................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪34‬‬

)5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )6( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 35

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 2‬الزوايا وقياساتها‬ ‫(‪)1‬‬ ‫‪........................................‬‬ ‫(‪)2‬‬ ‫‪............................. ......................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪36‬‬

‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪37‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪ 4‬ر‬ ‫( ‪ )4 - 3‬الدوال المثلثية للزوايا‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪38‬‬

)4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )5( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 39

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 4‬قانون الجيوب‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪40‬‬

‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪41‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 5‬قانون جيوب التمام‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪42‬‬

‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪43‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 6‬الدوال الدائـرية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)3‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪44‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 7‬تمثيل الدوال المثلثية بياني ًا‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪45‬‬

)3( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... )4( .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... .............................. ..................................................................................................... 46

‫(‪)5‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪47‬‬

‫أوراق عمل دروس مقرر الرياضيات ‪4‬‬ ‫( ‪ )4 - 8‬الدوال المثلثية العكسية‬ ‫(‪)1‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)2‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪48‬‬

‫(‪)3‬‬ ‫‪............................ .......................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫ر‪. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫(‪)4‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫تمارين إضافية ‪:‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪.............................. .....................................................................................................‬‬ ‫‪49‬‬