8. Sınıf Öğreniyorum Serisi Matematik Soru Bankası

["Uyguluyorum E\u015flik ve Benzerlik Test 81 1. A 7 cm D 4. 4 cm 4 cm A KL B 5 cm CE 5 cm F E D \u015eekilde ABC\u2206 \u2248 DFE\u2206 oldu\u011funa g\u00f6re |DE| ka\u00e7t\u0131r? CG A) 4 B) 5 C) 6 D) 7 F B Yukar\u0131daki \u015fekilde [KL]\u2019nin u\u00e7 noktalar\u0131 hangi nokta ile birle\u015ftirilirse ABC \u00fc\u00e7genine e\u015f \u00fc\u00e7gen elde edilmi\u015f olur? A) D B) E C) F D) G 2. 5. 1 3 ? 24 18 cm 10 cm Yukar\u0131da kareli zeminde verilen \u015fekillerden han- Yukar\u0131daki \u015fekil iki e\u015f dikd\u00f6rtgenden olu\u015ftu\u011funa gisi farkl\u0131d\u0131r? g\u00f6re \u201c?\u201d ile g\u00f6sterilen uzunluk ka\u00e7 santimetredir? A) 1 B) 2 C) 3 D) 4 A) 10 B) 8 C) 6 D) 4 6. D C 3. (y+1) cm E 9 cm (x-3) cm 11 cm AB Yukar\u0131daki paralelkenarlar e\u015f oldu\u011funa g\u00f6re, Yukar\u0131daki ABCD dikd\u00f6rtgeninde [AC] ve [DB] x + y ka\u00e7t\u0131r? k\u00f6\u015fegen oldu\u011funa g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? A) 22 B) 21 C) 20 D) 19 A) EA\u2206D \u2248 EC\u2206B B) DEC\u2206 \u2248 CEB\u2206 C) BE\u2206C \u2248 BA\u2206E D) EA\u2206B \u2248 DAE\u2206 350 8. S\u0131n\u0131f","Test E\u015flik ve Benzerlik Uyguluyorum 81 7. \u00c7evre uzunluklar\u0131 toplam\u0131 60 cm olan e\u015f iki \u00fc\u00e7- 10. A\u015fa\u011f\u0131daki \u015feklide AB\u2206C \u223c DE\u2206F\u2019dir. genden birinin iki kenar\u0131n\u0131n uzunlu\u011fu 6 cm ve 14 cm oldu\u011funa g\u00f6re di\u011fer kenar\u0131n uzunlu\u011fu ka\u00e7 D santimetredir? A 5 cm 6 cm 15 cm A) 6 B) 8 C) 10 D) 12 B CE 21 cm F Buna g\u00f6re |BC| + |DF| ka\u00e7 santimetredir? 8. AB\u2206C \u223c DEF\u2206 ve m(A)\uf8ff = 48\u00b0, m(B\uf8ff) = 42\u00b0\u2019dir. A) 25 B) 28 C) 32 D) 35 Buna g\u00f6re m(F)\uf8ff ka\u00e7 derecedir? A) 100 B) 90 C) 80 D) 70 9. A\u015fa\u011f\u0131da kareli zeminde verilen \u00e7okgenlerden 11. A\u015fa\u011f\u0131daki iki \u00fc\u00e7gen benzerdir. hangi ikisi benzerdir? P A) D 50\u00b0 12 cm F 15 cm 16 cm 50\u00b0 B) E R 20 cm S Buna g\u00f6re bu benzerlik a\u015fa\u011f\u0131dakilerden hangisi ile g\u00f6sterilir? A) FDE\u2206 \u223c SPR\u2206 B) DFE\u2206 \u223c PRS\u2206 C) FDE\u2206 \u223c PRS\u2206 D) EDF\u2206 \u223c SPR\u2206 C) D) 12. Benzer iki karenin \u00e7evreleri oran\u0131 1 oldu\u011funa 5 g\u00f6re kenarlar\u0131 oran\u0131 ka\u00e7t\u0131r? 1 1 1 D) 1 A) 25 B) 15 C) 5 8. S\u0131n\u0131f 351","Uyguluyorum E\u015flik ve Benzerlik Test 82 1. A\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? 4. A) E\u015f \u015fekillerin kar\u015f\u0131l\u0131kl\u0131 kenarlar\u0131 birbirine e\u015fittir. 12 dm B) Benzer \u015fekillerin kar\u015f\u0131l\u0131kl\u0131 a\u00e7\u0131 \u00f6l\u00e7\u00fcleri orant\u0131l\u0131d\u0131r. C) B\u00fct\u00fcn e\u015fkenar \u00fc\u00e7genler benzerdir. D) B\u00fct\u00fcn kareler benzerdir. 18 dm Yukar\u0131daki dikd\u00f6rtgen bi\u00e7imindeki afi\u015f benzerlik ora- 2 n\u0131 3 olacak bi\u00e7imde k\u00fc\u00e7\u00fclt\u00fclerek yeniden bas\u0131l\u0131yor. Buna g\u00f6re yeni afi\u015fin \u00e7evresi ka\u00e7 desimetredir? A) 36 B) 40 C) 44 D) 48 2. A 40 cm 20 cm D 8 cm 12 cm 5. A B C D B 30 cm C E 16 cm F Verilen \u00fc\u00e7genler aras\u0131ndaki benzerlik oran\u0131 a\u015fa- \u011f\u0131dakilerden hangisi olabilir? A) 5 5 3 2 B) 4 C) 5 D) 5 E F GH Noktal\u0131 zeminde verilen dikd\u00f6rtgen bi\u00e7imindeki kart hangi iki noktadan do\u011frusal bi\u00e7imde kesil- di\u011finde elde edilen iki par\u00e7an\u0131n benzerlik oran\u0131 1 olur? 3. A A) A ile F B) B ile H C) D ile H D) C ile F 13 cm D 12 cm BC E 6. Kare \u015feklindeki bir arsan\u0131n kenar uzunluklar\u0131 %40 oran\u0131nda b\u00fcy\u00fct\u00fcl\u00fcyor. Buna g\u00f6re son durumdaki arsa ile ba\u015flang\u0131\u00e7ta- Yukar\u0131daki \u015fekilde AB\u2206C \u2248 EC\u2206D oldu\u011funa g\u00f6re ki arsa aras\u0131nda benzerlik oran\u0131 a\u015fa\u011f\u0131dakilerden |BE| ka\u00e7 santimetredir? hangisi olabilir? A) 16 B) 17 C) 18 D) 19 6 4 5 D) 2 A) 5 B) 5 C) 7 7 352 8. S\u0131n\u0131f","Test E\u015flik ve Benzerlik Uyguluyorum 82 7. Yan yana duran iki karde\u015ften Sena\u2019n\u0131n g\u00f6lgesi 3 m 10. A\u015fa\u011f\u0131daki \u015fekilde [DE] \/\/ [BC]\u2019dir. B iken R\u00fcya\u2019n\u0131n g\u00f6lgesi 4 m\u2019dir. D R\u00fcya\u2019n\u0131n boyu 168 cm oldu\u011funa g\u00f6re Sena\u2019n\u0131n boyu ka\u00e7 santimetredir? A) 126 B) 138 C) 140 D) 152 9 cm 12 cm A 12 cm E C 8. Buna g\u00f6re |EC| ka\u00e7 santimetredir? 3 cm x cm A) 3 B) 4 C) 5 D) 6 6 cm 18 cm 5 cm y cm 11. A D 13,5 cm F \u015eekilde verilenlere g\u00f6re x + y ka\u00e7t\u0131r? 9 cm 5 cm n 12 cm Bm C E A) 30 B) 28 C) 26 D) 24 Verilen \u00fc\u00e7genlere g\u00f6re m + n ka\u00e7t\u0131r? A) 15,5 B) 16 C) 16,5 D) 17 9. K N 30 cm O 30 cm 18 cm 12. K 1 br L 40 cm M NP Verilen \u015fekilde KLM\u2206 \u223c OMN\u2206 oldu\u011funa g\u00f6re |KN| ka\u00e7t\u0131r? 3 br A) 22 B) 24 C) 26 D) 28 LM Yukar\u0131daki \u015feklide [NP] \/\/ [LM]\u2019dir. Alan_K&NPi Buna g\u00f6re Alan^NLMPh ka\u00e7t\u0131r? 1 1 1 1 A) 16 B) 15 C) 9 D) 3 8. S\u0131n\u0131f 353","Ba\u015far\u0131yorum E\u015flik ve Benzerlik Test 83 1. A\u015fa\u011f\u0131daki \u015fekilde E ve F noktalar\u0131ndan katlanabilen bir merdiven modeli verilmi\u015ftir. EF D C AB Bu merdivende ard\u0131\u015f\u0131k iki basamak aras\u0131ndaki uzakl\u0131k e\u015fit ve A ile B noktalar\u0131 aras\u0131ndaki uzakl\u0131k 42 cm\u2019dir. Buna g\u00f6re C ile D noktalar\u0131 aras\u0131ndaki uzakl\u0131k ka\u00e7 santimetredir? A) 9 B) 12 C) 15 D) 18 2. A\u015fa\u011f\u0131da \u00e7evre uzunlu\u011fu 180 cm olan \u00f6n y\u00fcz\u00fc mor, arka y\u00fcz\u00fc sar\u0131 renkli dikd\u00f6rtgen bi\u00e7iminde bir karton g\u00f6sterilmi\u015f- tir. Bu karton kesikli \u00e7izgi boyunca kendi \u00fczerine katlan\u0131yor. 30 cm Son durumda g\u00f6r\u00fcnen sar\u0131 k\u0131sm\u0131n alan\u0131 ile ba\u015flang\u0131\u00e7ta g\u00f6r\u00fcnen mor k\u0131sm\u0131n alan\u0131n\u0131n benzerlik oran\u0131n\u0131n 1 oldu\u011fu g\u00f6r\u00fcl\u00fcyor. 4 Buna g\u00f6re son durumda g\u00f6r\u00fcnen mor k\u0131sm\u0131n \u00e7evre uzunlu\u011fu ka\u00e7 santimetredir? A) 96 B) 108 C) 120 D) 150 354 8. S\u0131n\u0131f","Test E\u015flik ve Benzerlik Ba\u015far\u0131yorum 83 3. \u015eekil 1\u2019deki gibi d\u00fcz bir zeminde bulunan tahterevalli 40 birim uzunlu\u011funda do\u011frusal bir par\u00e7a ve bu par\u00e7an\u0131n tam ortas\u0131nda bulunan 12 birim uzunlu\u011funda do\u011frusal bir destekten olu\u015fmaktad\u0131r. 20 br 20 br 20 br 12 br 12 br \u015eekil 1 \u015eekil 2 \u015eekil 2\u2019deki gibi tahterevallinin sol ucu zemine de\u011fdi\u011finde sa\u011f tarafta dik yamuk \u015feklinde bir b\u00f6lge olu\u015fmaktad\u0131r. Buna g\u00f6re bu yamu\u011fun \u00e7evresi ka\u00e7 birimdir? A) 72 B) 74 C) 76 D) 78 4. A\u015fa\u011f\u0131da bir ma\u011fazada sat\u0131lan i\u015f yeri hal\u0131lar\u0131na ait katalog i\u00e7erisinde yer alan iki hal\u0131n\u0131n ger\u00e7ekleri ile ayn\u0131 oranda k\u00fc\u00e7\u00fclt\u00fclerek haz\u0131rlanm\u0131\u015f g\u00f6rselleri verilmi\u015ftir. 25 cm 1.Hal\u0131 15 cm 35 cm 2.Hal\u0131 20 cm 1. hal\u0131n\u0131n k\u0131sa kenar\u0131n\u0131n ger\u00e7ek uzunlu\u011fu 6 m olup 2. hal\u0131n\u0131n metrekaresinin sat\u0131\u015f fiyat\u0131 50 TL\u2019dir. Buna g\u00f6re 2. hal\u0131n\u0131n sat\u0131\u015f fiyat\u0131 ka\u00e7 TL\u2019dir? A) 3000 B) 4200 C) 4800 D) 5600 8. S\u0131n\u0131f 355","Ba\u015far\u0131yorum E\u015flik ve Benzerlik Test 84 1. A\u015fa\u011f\u0131daki noktal\u0131 zemin \u00fczerinde verilen d\u00f6rtgen bi\u00e7imindeki levhadan \u015fekildeki gibi \u00fc\u00e7gen bi\u00e7iminde bir par\u00e7a kesilerek \u00e7\u0131kar\u0131l\u0131yor. Buna g\u00f6re \u00e7\u0131kar\u0131lan cam levha a\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerden hangisi ile benzerdir? A) B) 5 cm C) D) 16 cm 20 cm 24 cm 25 cm 25 cm 25 cm 25 cm 2. Yanda verilen dikd\u00f6rtgen bi\u00e7imindeki kap\u0131n\u0131n uzunluklar\u0131 \u00fczerine 90 cm yaz\u0131lm\u0131\u015ft\u0131r. Kap\u0131 ile \u00fczerinde bulunan cam b\u00f6lmenin aras\u0131ndaki 240 cm benzerlik oran\u0131 5\u2019tir. Buna g\u00f6re cam b\u00f6lmenin \u00e7evre uzunlu\u011fu ka\u00e7 santimetredir? A) 124 B) 128 C) 132 D) 136 356 8. S\u0131n\u0131f","Test E\u015flik ve Benzerlik Ba\u015far\u0131yorum 84 3. A\u015fa\u011f\u0131da g\u00f6sterilen |AB| = |AC| = 24 br uzunlu\u011fundaki \u00e7er\u00e7eve ve a\u00e7\u0131lan pencerenin tam ortas\u0131ndan |DE| = 4 br uzunlu\u011funda metal par\u00e7a tak\u0131lm\u0131\u015ft\u0131r. B C D E A Ancak B ve C noktalar\u0131 aras\u0131ndaki uzakl\u0131k fazla oldu\u011fu i\u00e7in bu a\u00e7\u0131kl\u0131k azalt\u0131lacakt\u0131r. Buna g\u00f6re a\u00e7\u0131kl\u0131\u011f\u0131n 2 br azalt\u0131lmas\u0131 i\u00e7in ayn\u0131 metal par\u00e7an\u0131n A noktas\u0131n\u0131n ka\u00e7 birim uza\u011f\u0131na tak\u0131lmas\u0131 gere- kir? A) 12 B) 16 C) 20 D)24 4. A\u015fa\u011f\u0131da \u015eekil 1\u2019deki telefonda bir foto\u011fraf\u0131n dikey g\u00f6r\u00fcn\u00fcm\u00fc, \u015eekil 2\u2019de ise ayn\u0131 foto\u011fraf\u0131n telefon yatay konuma geldikten sonraki g\u00f6r\u00fcn\u00fcm\u00fc verilmi\u015ftir. 42 mm 84 mm 24 mm 147 mm \u015eekil 2 \u015eekil 1 \u015eekil 1 ve \u015eekil 2\u2019deki dikd\u00f6rtgen bi\u00e7imindeki foto\u011fraflar benzer oldu\u011funa g\u00f6re bu benzerlik oran\u0131 a\u015fa\u011f\u0131da- kilerden hangisi olabilir? A) 2 2 3 6 7 B) 3 C) 4 D) 7 8. S\u0131n\u0131f 357","D\u00d6N\u00dc\u015e\u00dcM GEOMETR\u0130S\u0130 VE GEOMETR\u0130K C\u0130S\u0130MLER 6 \u00dcN\u0130TE D\u00f6n\u00fc\u015f\u00fcm Geometrisi Geometrik Cisimler 8. SINIF Kazan\u0131mlar; Nokta, do\u011fru par\u00e7as\u0131 ve di\u011fer \u015fekillerin \u00f6teleme M.8.3.2.1 sonucundaki g\u00f6r\u00fcnt\u00fclerini \u00e7izer. Nokta, do\u011fru par\u00e7as\u0131 ve di\u011fer \u015fekillerin yans\u0131ma sonucu M.8.3.2.2 olu\u015fan g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fc olu\u015fturur. \u00c7okgenlerin \u00f6teleme ve yans\u0131malar sonucunda ortaya M.8.3.2.3 \u00e7\u0131kan g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fc olu\u015fturur. Dik prizmalar\u0131 tan\u0131r, temel elemanlar\u0131n\u0131 belirler, in\u015fa eder M.8.3.4.1 ve a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7izer. Dik dairesel silindirin temel elemanlar\u0131n\u0131 belirler, in\u015fa M.8.3.4.2 eder ve a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7izer. Dik dairesel silindirin y\u00fczey alan\u0131 ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, M.8.3.4.3 ilgili problemleri \u00e7\u00f6zer. Dik dairesel silindirin hacim ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur; ilgili M.8.3.4.4 problemleri \u00e7\u00f6zer. Dik piramidi tan\u0131r, temel elemanlar\u0131n\u0131 belirler, in\u015fa eder M.8.3.4.5 ve a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7izer. Dik koniyi tan\u0131r, temel elemanlar\u0131n\u0131 belirler, in\u015fa eder ve M.8.3.4.6 a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7izer.","D\u00f6n\u00fc\u015f\u00fcm Geometrisi \u00d6teleme: y Bir noktan\u0131n, do\u011frunun veya cismin do\u011frusal olarak ilerletilmesine \u00f6teleme denir. A1 \u00d6teleme hareketi koordinat sisteminde yap\u0131l\u0131rken; \u2022 sa\u011fa \u00f6telendi\u011finde x artar, sola \u00f6telendi\u011finde x azal\u0131r. \u2022 yukar\u0131 \u00f6telendi\u011finde y artar, a\u015fa\u011f\u0131 \u00f6telendi\u011finde y azal\u0131r. \u00d6rnek: Yanda kareli zeminde verilen ABC \u00fc\u00e7geni 6 birim sa\u011fa, 3 birim yukar\u0131 \u00f6telendi\u011finde A\u00d9B\u00d9C\u00d9 \u00fc\u00e7geni elde edilir. AO x B1 NOT: \u00d6telemede \u015feklin duru\u015fu, b\u00fcy\u00fckl\u00fc\u011f\u00fc, bi- C1 \u00e7imi de\u011fi\u015fmez; sadece yeri de\u011fi\u015fir. BC 82 2. A\u015fa\u011f\u0131da KLMNP be\u015fgenine hangi \u00f6teleme hare- keti uygulan\u0131rsa K\u00d9L\u00d9M\u00d9N\u00d9P\u00d9 elde edilir. 1. A\u015fa\u011f\u0131da koordinat sistemlerinde verilen \u00e7okgen- leri istenen y\u00f6nde \u00f6teleyiniz. yK a) 6 br sa\u011fa, 5 br a\u015fa\u011f\u0131ya P y L Ox K\u00d9 N O Mx P\u00d9 L\u00d9 N\u00d9 M\u00d9 b) 7 br sola, 4 br yukar\u0131ya 3. A\u015fa\u011f\u0131da koordinatlar\u0131 verilen noktalara istenen \u00f6teleme hareketini uygulay\u0131n\u0131z. y a) (4,7) 5 br sa\u011fa \u2020 b) (\u20135,\u20132) 6 br sola \u2020 Ox c) (\u20134,5) 10 br yukar\u0131 \u2020 \u00e7) (0,3) 6 br a\u015fa\u011f\u0131 \u2020 d) (\u20136,0) 9 br sola \u2020 e) (9,\u201312) 10 br sa\u011fa \u2020 f) (11,\u20137) 5 br yukar\u0131 \u2020 8. S\u0131n\u0131f 359","D\u00f6n\u00fc\u015f\u00fcm Geometrisi Yans\u0131ma: Bir cismin belli bir do\u011fruya g\u00f6re simetrisine yans\u0131ma denir. Ayn\u0131 zamanda bir \u015feklin d\u00fcz aynadaki g\u00f6r\u00fcnt\u00fcs\u00fcd\u00fcr. \u00d6rnek: yyy xxx x eksenine g\u00f6re yans\u0131ma y eksenine g\u00f6re yans\u0131ma orijine g\u00f6re yans\u0131ma (x,y) \u2020 (x,\u2013y) (x,y) \u2020 (\u2013x,y) (x,y) \u2020 (\u2013x,\u2013y) 83 c) y 1. A\u015fa\u011f\u0131daki verilen \u015fekillerin x ekseni, y ekseni ve x orijine g\u00f6re yans\u0131malar\u0131n\u0131 \u00e7iziniz. O a) y x 2. A\u015fa\u011f\u0131da koordinatlar\u0131 verilen noktalara istenen O yans\u0131ma hareketini uygulay\u0131n\u0131z. b) a) (5,6) x ekseni \u2020 y b) (\u20131,8) y ekseni \u2020 x c) (6,\u20133) y ekseni \u2020 O \u00e7) (\u20132,\u20135) orijin \u2020 360 8. S\u0131n\u0131f d) (10,8) x ekseni \u2020 e) (\u201311,6) x ekseni \u2020 f) (2,\u20139) orijin \u2020 g) (\u20135,\u201312) y ekseni \u2020","D\u00f6n\u00fc\u015f\u00fcm Geometrisi Ard\u0131\u015f\u0131k \u00d6teleme ve Yans\u0131ma: Bir \u015feklin do\u011fru boyunca yans\u0131mas\u0131ndan sonra \u00f6telenmesine ya da \u00f6telenmesinden sonra yans\u0131mas\u0131na \u00f6telemeli yans\u0131ma denir. \u00d6rnek: 1 1\u20ba \u00f6teleme 2\u20ba yans\u0131ma d 5 3\u20ba \u00f6teleme 4\u20ba \u00f6teleme 23 4 5\u20ba yans\u0131ma 84 c) \u00f6nce x sonra y eksenine g\u00f6re yans\u0131t\u0131p 4 br yukar\u0131 \u00f6teleme 1. A\u015fa\u011f\u0131daki \u015fekillere istenen hareketleri uygulay\u0131- y n\u0131z. a) y eksenine g\u00f6re yans\u0131t\u0131p 5 br a\u015fa\u011f\u0131 \u00f6teleme x y x \u00e7) y eksenine g\u00f6re yans\u0131t\u0131p 6 br yukar\u0131, 8 br sola \u00f6teleme b) x eksenine g\u00f6re yans\u0131t\u0131p 8 br sola \u00f6teleme y y x x NOT: \u00d6telemenin y\u00f6n\u00fc ve miktar\u0131 ayn\u0131 olmak ko\u015fuluyla bir \u015fekle \u00f6nce yans\u0131ma, sonra \u00f6tele- me yap\u0131lmas\u0131yla; \u00f6nce \u00f6teleme sonra yans\u0131ma yap\u0131lmas\u0131 ayn\u0131 \u015feydir. 8. S\u0131n\u0131f 361","D\u00f6n\u00fc\u015f\u00fcm Geometrisi 2. A\u015fa\u011f\u0131daki \u015fekillerden hangilerinde \u00f6telemeli yans\u0131ma hareketi uygulanm\u0131\u015ft\u0131r? a) b) c) d) 3. A(\u20137,\u20134) noktas\u0131n\u0131n \u00f6nce y eksenine g\u00f6re yans\u0131- 5. Koordinat sisteminde K(6,9) noktas\u0131n\u0131n x eksenine t\u0131l\u0131p sonra 10 br sa\u011fa \u00f6telenmesiyle olu\u015fan yeni g\u00f6re yans\u0131mas\u0131 L ve y eksenine g\u00f6re yans\u0131mas\u0131 M konumunun koordinatlar\u0131n\u0131 bulunuz. noktas\u0131d\u0131r. Buna g\u00f6re KLM \u00fc\u00e7geninin alan\u0131n\u0131 bulunuz. 4. Koordinat sistemindeki (a,b) noktas\u0131n\u0131n 8 br yukar\u0131, 6. PR do\u011fru par\u00e7as\u0131n\u0131n u\u00e7 noktalar\u0131 P(3,4) ve 5 br sola \u00f6telenmesi ile (\u20134,7) noktas\u0131 elde edilmi\u015ftir. R(\u20136,1)\u2019dir. Bu do\u011fru par\u00e7as\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 al\u0131n\u0131p ard\u0131ndan 3 br sa\u011fa, 2 br a\u015fa\u011f\u0131 \u00f6te- Buna g\u00f6re a + b de\u011ferini bulunuz. leniyor. Buna g\u00f6re son durumda olu\u015fan do\u011fru par\u00e7as\u0131n\u0131n koordinatlar\u0131n\u0131 bulunuz. 362 8. S\u0131n\u0131f","Test D\u00f6n\u00fc\u015f\u00fcm Geometrisi Uyguluyorum 85 3. y 1. A\u00d9 x B\u00d9 C\u00d9 Noktal\u0131 zeminde verilen \u015feklin 3 br sa\u011fa \u00f6telen- \u015eekilde koordinat sisteminde bir ABC \u00fc\u00e7geninin 6 br mesiyle olu\u015fan g\u00f6r\u00fcn\u00fcm a\u015fa\u011f\u0131dakilerden hangi- sa\u011fa \u00f6telenmesiyle A\u00d9B\u00d9C\u00d9 olu\u015fmu\u015ftur. sidir? A) B) Buna g\u00f6re ABC \u00fc\u00e7geninin A k\u00f6\u015fesinin koordi- natlar\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? C) D) A) (\u20135,1) B) (\u20134,1) C) (\u20133,1) D) (\u20132,1) 2. 4. Koordinat sisteminde D(\u20131,2) noktas\u0131n\u0131n 4 br sa\u011fa, 3 br yukar\u0131 \u00f6telenmesiyle olu\u015fan yeni nok- y tan\u0131n koordinatlar\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) (3,5) B) (5,\u20133) C) (\u20133,\u20135) D) (\u20133,5) A x B D C \u015eekilde koordinat sisteminde KLMN d\u00f6rtgeni 4 br yu- 5. Koordinat sisteminde 5 br yukar\u0131, 6 br sola \u00f6te- kar\u0131 \u00f6teleniyor. lenmi\u015f h\u00e2li orijin olan nokta a\u015fa\u011f\u0131dakilerden han- gisidir? Buna g\u00f6re yeni olu\u015fan d\u00f6rtgenin k\u00f6\u015fe noktalar\u0131 i\u00e7in a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A) (5,\u20136) B) (\u20136,5) C) (\u20135,6) D) (6,\u20135) A) (\u20131,2) B) (\u20132,2) C) (\u20133,0) D) (\u20134,1) 8. S\u0131n\u0131f 363","Uyguluyorum D\u00f6n\u00fc\u015f\u00fcm Geometrisi Test 85 6. A\u015fa\u011f\u0131dakilerden hangisinde \u015feklin eksenlerin- 9. den birine g\u00f6re yans\u0131mas\u0131 verilmemi\u015ftir? x y A) y B) y K xx P C) y D) y \u015eekildeki koordinat sisteminde K ve P dikd\u00f6rtgen- x x lerinin s\u0131ras\u0131yla x ve y eksenlerine g\u00f6re yans\u0131malar\u0131 al\u0131n\u0131yor. Buna g\u00f6re son durumda \u015fekillerin kesi\u015fim nokta- s\u0131n\u0131n alan\u0131 ka\u00e7 birimkare olur? A) 6 B) 5 C) 4 D) 3 7. Koordinat sisteminde KL do\u011fru par\u00e7as\u0131n\u0131n u\u00e7 nokta- 10. Koordinat d\u00fczleminde (\u20137,3) noktas\u0131nda bulunan bir lar\u0131n\u0131n koordinatlar\u0131 K(6,\u20132) ve L(\u20134,1)\u2019dir. kar\u0131nca ilerleyerek bu noktan\u0131n orijine g\u00f6re yans\u0131ma- s\u0131 olan noktaya var\u0131yor. Buna g\u00f6re bu do\u011fru par\u00e7as\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131yla olu\u015fan g\u00f6r\u00fcnt\u00fcn\u00fcn y bile\u015fenleri Buna g\u00f6re kar\u0131ncan\u0131n vard\u0131\u011f\u0131 nokta a\u015fa\u011f\u0131dakiler- toplam\u0131 ka\u00e7t\u0131r? den hangisidir? A) \u20132 B) \u20131 C) 1 D) 2 A) (7,3) B) (\u20137,\u20133) C) (\u20133,7) D) (7,\u20133) 8. Koordinat sisteminde ABC \u00fc\u00e7geninin k\u00f6\u015fe noktalar\u0131- 11. P(\u20138,\u20136) noktas\u0131n\u0131n y eksenine g\u00f6re yans\u0131mas\u0131 olan n\u0131n koordinatlar\u0131 A(4,2), B(\u20131,2) ve C(1,3)\u2019t\u00fcr. nokta R, R noktas\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 olan nokta S\u2019dir. Buna g\u00f6re bu \u00fc\u00e7genin y eksenine g\u00f6re yans\u0131ma- s\u0131yla olu\u015fan g\u00f6r\u00fcnt\u00fcn\u00fcn k\u00f6\u015fe noktalar\u0131ndan biri Buna g\u00f6re PRST dikd\u00f6rtgeninde T k\u00f6\u015fesinin ko- a\u015fa\u011f\u0131dakilerden hangisidir? ordinatlar\u0131 a\u015fa\u011f\u0131dakilerin hangisidir? A) (\u20134,2) B) (1,\u20132) C) (4,\u20132) D) (1,\u20133) A) (8,6) B) (6,8) C) (\u20138,6) D) (\u20136,8) 364 8. S\u0131n\u0131f","Test D\u00f6n\u00fc\u015f\u00fcm Geometrisi Uyguluyorum 86 y 3. y 1. x B x Koordinat sisteminde verilen \u015fekil \u00f6nce 3 br sa\u011fa ve O 1 br a\u015fa\u011f\u0131 \u00f6teleniyor, ard\u0131ndan x eksenine g\u00f6re yan- A s\u0131mas\u0131 al\u0131n\u0131yor. Buna g\u00f6re son durumda olu\u015fan \u015fekil a\u015fa\u011f\u0131daki- Koordinat sisteminde verilen A \u015fekline \u00f6teleme ve lerden hangisidir? yans\u0131ma hareketleri uygulanarak B elde ediliyor. A) y B) y Buna g\u00f6re \u015fekle uygulanan hareketler a\u015fa\u011f\u0131daki- xx lerden hangisi olabilir? C) y D) y A) 6 br sola, 1 br a\u015fa\u011f\u0131 \u00f6teleyip x eksenine g\u00f6re yan- s\u0131ma xx B) 6 br sa\u011fa, 1 br yukar\u0131 \u00f6teleyip x eksenine g\u00f6re yans\u0131ma C) 5 br sa\u011fa, 2 br yukar\u0131 \u00f6teleyip y eksenine g\u00f6re yans\u0131ma D) 5 br sola, 2 br a\u015fa\u011f\u0131 \u00f6teleyip y eksenine g\u00f6re yan- s\u0131ma 4. y 2. Koordinat sisteminde k\u00f6\u015fe noktalar\u0131 K(\u20131,6), L(\u20133,6), x M(\u20135,7) ve N(\u20131,7) olan KLMN d\u00f6rtgeninin y ekseni- ne g\u00f6re yans\u0131mas\u0131 al\u0131n\u0131p 2 br sola \u00f6teleniyor. Yukar\u0131daki \u015feklin x eksenine g\u00f6re yans\u0131mas\u0131 so- nucunda III. b\u00f6lgede kalan k\u0131sm\u0131n\u0131n alan\u0131 ka\u00e7 bi- Buna g\u00f6re, son durumda d\u00f6rtgenin k\u00f6\u015fe noktala- rimkaredir? r\u0131ndan biri a\u015fa\u011f\u0131dakilerden hangisi de\u011fildir? A) 2 B) 3 C) 4 D) 5 A) K(\u20131,6) B) L(1,6) C) M(3,7) D) N(1,7) 8. S\u0131n\u0131f 365","Uyguluyorum D\u00f6n\u00fc\u015f\u00fcm Geometrisi Test 86 5. A\u015fa\u011f\u0131dakilerden hangisinde verilen \u015fekiller do\u011f- 7. y ruya g\u00f6re birbirinin \u00f6telemeli yans\u0131mas\u0131d\u0131r? KL x A) B) M C) D) N 6. Koordinat sisteminde bulunan [KL] ve [MN] do\u011f- y ru par\u00e7alar\u0131na a\u015fa\u011f\u0131daki hareketlerden hangisi uygulan\u0131rsa \u201cT\u201d \u015fekli elde edilebilir? A I. [KL] [MN] A) y eksenine g\u00f6re 5 br yukar\u0131 \u00f6teleme yans\u0131ma 4 br sola \u00f6teleme B) x eksenine g\u00f6re yans\u0131ma 2 br sa\u011fa 5 br yukar\u0131 \u00f6teleme C) y eksenine g\u00f6re yans\u0131ma 2 br sola 4 br a\u015fa\u011f\u0131 \u00f6teleme D) x eksenine g\u00f6re yans\u0131ma 8. A x d II. III. B Koordinat sisteminde bulunan A \u015fekline eksen- lerden birine veya orijine g\u00f6re yans\u0131ma hareke- Noktal\u0131 zeminde verilen A \u015fekline a\u015fa\u011f\u0131daki hare- ketlerden hangisi uygulan\u0131rsa B \u015feklindeki bo\u015f- ti uyguland\u0131\u011f\u0131nda numaraland\u0131r\u0131lan \u015fekillerden luk kapan\u0131r? A) d do\u011frusuna g\u00f6re yans\u0131t\u0131p 2 br yukar\u0131 5 br sa\u011fa hangisi elde edilebilir? \u00f6teleme A) Yaln\u0131z I B) I ve II B) d do\u011frusuna g\u00f6re yans\u0131t\u0131p 1 br a\u015fa\u011f\u0131 7 br sa\u011fa C) I ve III D) I, II ve III \u00f6teleme C) d do\u011frusuna g\u00f6re yans\u0131t\u0131p 2 br a\u015fa\u011f\u0131 \u00f6teleme D) d do\u011frusuna g\u00f6re yans\u0131t\u0131p 1 br yukar\u0131 6 br sa\u011fa \u00f6teleme 366 8. S\u0131n\u0131f","Test D\u00f6n\u00fc\u015f\u00fcm Geometrisi Ba\u015far\u0131yorum 87 1 ve 2. sorular\u0131 a\u015fa\u011f\u0131daki bilgilere g\u00f6re cevaplay\u0131n\u0131z. A\u015fa\u011f\u0131da ok\u00e7uluk antrenmanlar\u0131n\u0131n yap\u0131ld\u0131\u011f\u0131 bir spor alan\u0131 birim kareli zemin \u00fczerinde verilen koordinat sisteminde modellenmi\u015ftir. Hedef 1 Mete Hedef 2 Hedef 3 1. Bu alanda Mete\u2019nin bulundu\u011fu noktaya en uzak olan hedef tahtas\u0131n\u0131n yeri de\u011fi\u015ftirilerek 5 br sola ve 7 br yukar\u0131 yerle\u015ftiriliyor. Buna g\u00f6re bu tahtan\u0131n son bulundu\u011fu noktan\u0131n Mete\u2019ye g\u00f6re konumu a\u015fa\u011f\u0131dakilerden hangisidir? A) 5 br sol ve 4 br a\u015fa\u011f\u0131s\u0131nda B) 4 br sol ve 5 br a\u015fa\u011f\u0131s\u0131nda C) 5 br sa\u011f ve 4 br yukar\u0131s\u0131nda D) 4 br sa\u011f ve 5 br yukar\u0131s\u0131nda 2. 2. b\u00f6lgede bulunan hedef tahtas\u0131 \u00f6nce x, sonra y eksenine g\u00f6re yans\u0131t\u0131l\u0131yor. Buna g\u00f6re son durumda bu hedef tahtas\u0131 ile ayn\u0131 b\u00f6lgede bulunan tahtan\u0131n aras\u0131ndaki uzakl\u0131k ka\u00e7 birimdir? A) 3 B) 2\u00a72 C) \u00a75 D) 2 8. S\u0131n\u0131f 367","Ba\u015far\u0131yorum D\u00f6n\u00fc\u015f\u00fcm Geometrisi Test 87 3. A\u015fa\u011f\u0131da birim kareli k\u00e2\u011f\u0131t \u00fczerindeki koordinat sistemine yerle\u015ftirilmi\u015f dikd\u00f6rtgen \u015feklindeki k\u0131rm\u0131z\u0131 ve mavi renkli iki kart g\u00f6sterilmi\u015ftir. y x Bu kartlara a\u015fa\u011f\u0131da belirtilen hareketler uygulan\u0131yor: \u2022 Mavi kart: y eksenine g\u00f6re yans\u0131ma, 3 br a\u015fa\u011f\u0131 \u00f6teleme. \u2022 K\u0131rm\u0131z\u0131 kart: x eksenine g\u00f6re yans\u0131ma. Hareketlerden sonra kartlar\u0131n \u00fcst \u00fcste gelen k\u0131s\u0131mlar\u0131 mor renkte g\u00f6r\u00fcn\u00fcyor. Ard\u0131ndan bu koordinat sistemi, x = 6 do\u011frusunun ge\u00e7ti\u011fi \u00e7izgi boyunca bir makasla kesiliyor. Buna g\u00f6re son durumda elde edilen par\u00e7alardan biri a\u015fa\u011f\u0131dakilerden hangisidir? A) B) C) D) xxxx 368 8. S\u0131n\u0131f","Geometrik Cisimler Dik Prizmalar Alt ve \u00fcst y\u00fcz\u00fc birbirine paralel e\u015f \u00e7okgenlerden olu\u015fan ve yan ayr\u0131tlar\u0131 tabana dik olan prizmalara dik prizma denir. Dik prizmalar tabanlar\u0131na g\u00f6re adland\u0131r\u0131l\u0131r. Dik prizmalar\u0131n; \u2022 Alt ve \u00fcst tabanlar\u0131 birbirine e\u015f ve paraleldir. \u2022 Yan y\u00fczeyleri dikd\u00f6rtgensel b\u00f6lgedir. \u2022 Kenarlar\u0131na ayr\u0131t ismi verilir. \u2022 Yan ayr\u0131tlar\u0131 ayn\u0131 zamanda y\u00fcksekliktir. \u00d6rnek: \u00dc\u00e7 Dik Prizma \u00dc\u00e7gen Dik Prizman\u0131n A\u00e7\u0131n\u0131m\u0131 k\u00f6\u015fe \u00fcst taban taban ayr\u0131t yan y\u00fcz y\u00fckseklik yan y\u00fcz yan y\u00fcz yan y\u00fcz alt taban taban 85 2. A\u015fa\u011f\u0131da verilen prizmalar\u0131n t\u00fcm ayr\u0131t uzunluklar\u0131 toplam\u0131n\u0131 bulunuz. 1. A\u015fa\u011f\u0131daki dik prizmalar\u0131 isimlendirerek y\u00fcz, yan y\u00fcz, k\u00f6\u015fe ve ayr\u0131t say\u0131lar\u0131n\u0131 bulunuz. a) 3 cm a) 4 cm 7 cm b) 6 cm 6 cm 6 cm b) c) 8 cm 4 cm 11 cm 369 8. S\u0131n\u0131f","Geometrik Cisimler 3. A\u015fa\u011f\u0131da verilen prizmalar\u0131n a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7iziniz. a) 5 cm b) 6 cm 5 cm 6 cm 6 cm 8 cm 9 cm 4. 6 cm 6. Taban ayr\u0131tlar\u0131ndan birinin uzunlu\u011fu 7 cm, y\u00fck- sekli\u011fi 10 cm olan d\u00fczg\u00fcn be\u015fgen prizman\u0131n ayr\u0131t a uzunluklar\u0131 toplam\u0131n\u0131 bulunuz. 9 cm c 3 cm b Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen prizmada a+b+c de\u011ferini bulunuz. 7. 24 br 5. E 6 br 8 br A B CD Yukar\u0131da prizmada g\u00f6sterilen cisim k\u00f6\u015fegeninin F uzunlu\u011funu bulunuz. Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen prizman\u0131n kar\u015f\u0131l\u0131kl\u0131 y\u00fcz- lerini bulunuz. 370 8. S\u0131n\u0131f","Test Dik Prizmalar Uyguluyorum 88 4. A\u015fa\u011f\u0131dakilerden hangisi e\u015fkenar \u00fc\u00e7gen dik priz- 1. man\u0131n a\u00e7\u0131n\u0131m\u0131 olabilir? A) B) 3 cm 3 cm 4 cm 3 cm 5 cm 3 cm 5 cm 4 cm Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen \u015fekil a\u015fa\u011f\u0131dakilerden C) 3 cm D) 2 cm hangisidir? A) Kare dik prizma B) Be\u015fgen dik prizma 6 cm 5 cm C) Alt\u0131gen dik prizma D) Yedigen dik prizma 4 cm 2 cm 2 cm 3 cm 2. Sekizgen dik prizma ile ilgili a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A) Toplam ayr\u0131t say\u0131s\u0131 24\u2019t\u00fcr. B) T\u00fcm y\u00fczlerinin say\u0131s\u0131 10\u2019dur. C) Yan y\u00fczleri \u00fc\u00e7gensel b\u00f6lgedir. D) Taban\u0131 sekizgen \u015feklindedir. 5. Kar\u015f\u0131l\u0131kl\u0131 y\u00fczlerinde A ile B, C ile D ve E ile F harf- lerinin yaz\u0131l\u0131 olan k\u00fcp\u00fcn a\u00e7\u0131n\u0131m\u0131 a\u015fa\u011f\u0131dakilerden hangisi olabilir? 3. B A) A F B) C A A CD E BC F ED D EB F HK L G C) D) E A Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen \u00e7e\u015fitkenar \u00fc\u00e7gen dik BF C prizma i\u00e7in a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? CD EB A) |GH| = |HK| B) |AF| = |DK| A DF C) |AB| = |KL| D) |BC| = |DE| 8. S\u0131n\u0131f 371","Uyguluyorum Dik Prizmalar Test 88 6. 6 cm 8. 17 cm 8 cm 9 cm KL Yukar\u0131da verilen dik \u00fc\u00e7gen dik prizman\u0131n a\u00e7\u0131n\u0131m\u0131 Yukar\u0131da verilen dikd\u00f6rtgenler prizmas\u0131n\u0131n a\u00e7\u0131n\u0131- a\u015fa\u011f\u0131dakilerden hangisi olamaz? m\u0131nda |KL| ka\u00e7t\u0131r? A) B) 10 cm 8 cm 10 cm A) 34 B) 43 C) 52 D) 61 6 cm C) D) 9. 8 cm 6 cm I 14 cm 6 cm 14 cmII III IV 14 cm 14 cm 4 cm 6 cm 10 cm 14 cm 8 cm Yukar\u0131daki dikd\u00f6rtgenlerden hangileri ayn\u0131 \u00fc\u00e7- gen dik prizmaya ait yan y\u00fczler olabilir? A) I - II - III B) I - II - IV C) I - III - IV D) II - III - IV 7. Farkl\u0131 ayr\u0131tlar\u0131n\u0131n uzunluklar\u0131 5 cm, 7 cm ve 8 cm 10. Bir y\u00fcz\u00fcn\u00fcn \u00e7evre uzunlu\u011fu 40 cm olan k\u00fcp\u00fcn olan bir dikd\u00f6rtgenler prizmas\u0131 ile bir kare dik priz- ayr\u0131t uzunluklar\u0131 toplam\u0131 ka\u00e7t\u0131r? man\u0131n ayr\u0131t uzunluklar\u0131 toplam\u0131 e\u015fittir. A) 120 B) 160 C) 200 D) 240 Bu kare dik prizman\u0131n taban ayr\u0131tlar\u0131ndan biri- nin uzunlu\u011fu 6 cm oldu\u011funa g\u00f6re y\u00fcksekli\u011fi ka\u00e7 santimetredir? A) 8 B) 7 C) 6 D) 5 372 8. S\u0131n\u0131f","Dik Dairesel Silindirin Temel Elemanlar\u0131 ve A\u00e7\u0131n\u0131m\u0131 \u00dcst ve alt taban\u0131 e\u015f dairelerden ve bu tabanlar\u0131n \u00e7evresindeki noktalar\u0131 birle\u015ftiren do\u011fru par\u00e7as\u0131n\u0131n tabanlara dik olmas\u0131yla olu\u015fan geometrik cisme dik dairesel silindir denir. Dik dairesel silindirin a\u00e7\u0131n\u0131m\u0131nda iki daire ve bir dikd\u00f6rtgen bulunur. \u00d6rnek: Dik Dairesel Silindir Dik Dairesel Silindirin A\u00e7\u0131n\u0131m\u0131 \u00dcst taban Eksen r Yan y\u00fcz Y\u00fckseklik (h) h Yanal Y\u00fcz Alt taban 2\u220fr Taban yar\u0131\u00e7ap\u0131(r) r 86 h = 10 cm 1. A\u015fa\u011f\u0131daki dik dairesel silindirlerin a\u00e7\u0131n\u0131mlar\u0131n\u0131 \u00e7iziniz. (\u220f = 3 al\u0131n\u0131z.) a) b) h = 7 cm r = 6 cm r = 3 cm 8. S\u0131n\u0131f 373","Dik Dairesel Silindirin Temel Elemanlar\u0131 ve A\u00e7\u0131n\u0131m\u0131 2. A\u015fa\u011f\u0131da a\u00e7\u0131n\u0131mlar\u0131 verilen dik dairesel silindirlerin taban yar\u0131\u00e7ap ve y\u00fcksekliklerini bulunuz. (\u220f = 3 al\u0131n\u0131z.) a) b) c) 12 cm 54 cm 48 cm 15 cm 30 cm 9 cm r= r= r= h= h= h= 3. Taban \u00e7ap\u0131 20 cm ve y\u00fcksekli\u011fi 6 cm olan dik dai- 5. Ayr\u0131t uzunluklar\u0131 toplam\u0131 144 cm olan bir k\u00fcp\u00fcn resel silindirin a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7iziniz. (\u220f = 3 al\u0131n\u0131z.) i\u00e7ine ta\u015fmayacak bi\u00e7imde yerle\u015ftirilebilecek en b\u00fcy\u00fck dik silindirin taban \u00e7evresini bulunuz. (\u220f = 3 al\u0131n\u0131z.) 4. 6. L O r = 6cm 60 cm 15 cm 72 cm K Yukar\u0131da yan y\u00fcz\u00fc verilen dik dairesel silindirin Yukar\u0131daki silindirin K noktas\u0131ndan ba\u015flayarak taban yar\u0131\u00e7ap uzunlu\u011funun santimetre cinsinden yan y\u00fcz boyunca L noktas\u0131na kadar hareket eden alabilece\u011fi de\u011ferlerin toplam\u0131n\u0131 bulunuz. kar\u0131ncan\u0131n en az ka\u00e7 santimetre yol ald\u0131\u011f\u0131n\u0131 bulu- (\u220f = 3 al\u0131n\u0131z.) nuz. (\u220f = 3 al\u0131n\u0131z.) 374 8. S\u0131n\u0131f","Dik Dairesel Silindirin Alan\u0131 Dik dairesel silindirin y\u00fczey alan\u0131, yan y\u00fczey alan\u0131 ile taban alanlar\u0131n\u0131n toplam\u0131na e\u015fittir. Y\u00fczey Alan\u0131 = Yan Y\u00fczey Alan\u0131 + 2. Taban Alan\u0131 2\u220fr\u00b7h + 2\u00b7\u220fr2 \u00d6rnek: Taban yar\u0131\u00e7ap\u0131 4 cm ve y\u00fcksekli\u011fi 5 cm olan dik dairesel silindirin y\u00fczey alan\u0131n\u0131 bulal\u0131m. (\u220f = 3 al\u0131n\u0131z.) 4 3.42 = 48 cm2 4 cm 24.5 = 120 cm2 5 cm Y\u00fczey Alan\u0131 = 120 + 2\u00b748 5 cm 2.3.4=24 cm = 120 + 96 = 216 cm2 4 3.42 = 48 cm2 87 2. A\u015fa\u011f\u0131da a\u00e7\u0131n\u0131mlar\u0131 verilen dik silindirlerin y\u00fczey alanlar\u0131n\u0131 bulunuz. (\u220f = 3 al\u0131n\u0131z.) 1. A\u015fa\u011f\u0131da taban yar\u0131\u00e7aplar\u0131 ve y\u00fckseklikleri verilen a) dik silindirlerin y\u00fczey alanlar\u0131n\u0131 bulunuz. (\u220f = 3 al\u0131n\u0131z.) 6 cm a) r = 2 cm, h = 5 cm 8 cm 6 cm b) r = 3 cm, h = 10 cm b) 5 cm c) r = 5 cm, h = 20 cm 7 cm \u00e7) r = 6 cm, h = 12 cm 5 cm c) 10 cm 2 cm 8. S\u0131n\u0131f 375","Uyguluyorum Dik Dairesel Silindirin Temel Elemanlar\u0131 ve Alan\u0131 Test 89 1. 36 cm 4. A\u015fa\u011f\u0131daki dik dairesel silindirlerden hangisinin yan y\u00fczeyi karedir? (\u220f = 3 al\u0131n\u0131z.) 12 cm A) 4 cm B) 5 cm Yukar\u0131da yan y\u00fcz\u00fc verilen bir dik dairesel silindi- 24 cm 15 cm rin taban yar\u0131\u00e7ap\u0131 en az ka\u00e7 santimetredir? (\u220f = 3 al\u0131n\u0131z.) A) 2 B) 4 C) 6 D) 8 C) 6 cm D) 5 cm 2. I. Eksen 24 cm 25 cm II. Y\u00fckseklik III. Taban IV. Ayr\u0131t Yukar\u0131dakilerden hangileri dik dairesel silindirin temel elemanlar\u0131ndand\u0131r? A) I, II ve IV B) I, II ve III 5. Taban yar\u0131\u00e7ap\u0131n\u0131n uzunlu\u011fu 5 cm ve y\u00fcksekli\u011fi 4 C) II, III ve IV D) I, II, III ve IV cm olan dik dairesel silindirin yan y\u00fcz\u00fcn\u00fcn alan\u0131 ka\u00e7 santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) A) 90 B) 120 C) 150 D) 180 3. 30 cm 6. 6 cm 3 cm 6 cm Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen dik dairesel silindirin Yukar\u0131daki dik dairesel silindirin y\u00fczey alan\u0131 ka\u00e7 y\u00fcksekli\u011fi ile taban yar\u0131\u00e7ap\u0131n\u0131n toplam\u0131 ka\u00e7 san- santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) timetredir? (\u220f = 3 al\u0131n\u0131z.) A) 108 B) 144 C) 162 D) 192 A) 10 B) 11 C) 12 D) 13 376 8. S\u0131n\u0131f","Test Dik Dairesel Silindirin Temel Elemanlar\u0131 ve Alan\u0131 Uyguluyorum 89 10. 15 cm 7. 6 cm 20 cm 5 cm Yukar\u0131daki dik dairesel silindirin yanal alan\u0131 ka\u00e7 Yukar\u0131daki boya rulosu ile bir duvarda 2 tur bo- santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) yama yap\u0131ld\u0131\u011f\u0131nda en fazla ka\u00e7 santimetrekarelik alan boyan\u0131r? (\u220f = 3 al\u0131n\u0131z.) A) 600 B) 900 C) 1200 D) 1500 A) 960 B) 1080 C) 1200 D) 1320 11. 12 cm 8. Yanal alan\u0131 360 cm2 olan dik dairesel silindirin y\u00fck- sekli\u011fi 5 cm\u2019dir. Buna g\u00f6re bu dik silindirin taban yar\u0131\u00e7ap\u0131 ka\u00e7 8 cm santimetredir? (\u220f = 3 al\u0131n\u0131z.) A) 6 B) 8 C) 10 D) 12 Yukar\u0131da verilen yar\u0131m dik silindirin y\u00fczey alan\u0131 ka\u00e7 santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) A) 216 B) 240 C) 264 D) 288 12. 30 cm 12 cm 9. Bir ayr\u0131t\u0131n\u0131n uzunlu\u011fu 20 cm olan k\u00fcp\u00fcn i\u00e7erisine Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen dik silindirin y\u00fczey alan\u0131 yerle\u015ftirilebilecek en b\u00fcy\u00fck silindirin y\u00fczey alan\u0131 ka\u00e7 santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) ka\u00e7 santimetrekaredir? (\u220f = 3 al\u0131n\u0131z.) A) 240 B) 264 C) 288 D) 312 A) 2100 B) 1800 C) 1500 D) 1200 8. S\u0131n\u0131f 377","Dik Dairesel Silindirin Hacmi Dik dairesel silindirin hacmi, taban alan\u0131 ile y\u00fcksekli\u011fin \u00e7arp\u0131m\u0131na e\u015fittir. Hacim = Taban Alan\u0131 \u00b7 Y\u00fckseklik V \u220fr2 \u00b7 h \u00d6rnek: A\u015fa\u011f\u0131daki dik dairesel silindirin hacmini bulal\u0131m. (\u220f = 3 al\u0131n\u0131z.) 3 cm 10 cmHacim = Taban Alan\u0131 \u00b7 Y\u00fckseklik V = 3\u00b732\u00b710 = 27\u00b710 = 270 cm3 5 cm 3 cm 88 3. A\u015fa\u011f\u0131da verilen dikd\u00f6rtgensel b\u00f6lgelerin k\u0131rm\u0131z\u0131 kenarlar\u0131 etraf\u0131nda 360\u00b0 d\u00f6nd\u00fcr\u00fclmesiyle olu\u015fan 1. A\u015fa\u011f\u0131da taban yar\u0131\u00e7aplar\u0131 ve y\u00fckseklikleri verilen cisimlerin hacimlerini bulunuz. (\u220f = 3 al\u0131n\u0131z.) dik silindirlerin hacimlerini bulunuz. (\u220f = 3 al\u0131n\u0131z.) a) b) a) r = 2 cm, h = 5 cm 6 cm b) r = 4 cm, h = 6 cm 4 cm 2. A\u015fa\u011f\u0131da verilen dik silindir \u015feklindeki kapta bu- 4. A\u015fa\u011f\u0131da verilen dik prizmalar\u0131n i\u00e7ine yerle\u015ftirile- lunan desimetrek\u00fcp cinsinden su miktar\u0131n\u0131 bulu- bilecek en b\u00fcy\u00fck hacimli dik silindirlerin hacim- nuz. (\u220f = 3 al\u0131n\u0131z.) lerini bulunuz. (\u220f = 3 al\u0131n\u0131z.) 8 dm a) b) r = 5 dm 10 cm 8 cm 10 cm 10 cm 6 cm 6 cm 378 8. S\u0131n\u0131f","Test Dik Dairesel Silindirin Hacmi Uyguluyorum 90 7 cm 1. Taban alan\u0131 48 cm2, y\u00fcksekli\u011fi 4 cm olan dik 4. dairesel silindirin hacmi ka\u00e7 santimetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) 20 cm A) 96 B) 144 C) 192 D) 240 Yukar\u0131daki su kab\u0131 d\u00f6rt e\u015f b\u00f6lmeden olu\u015fmaktad\u0131r. 2. 5 cm Buna g\u00f6re kab\u0131 tamamen doldurmak i\u00e7in gereken su miktar\u0131 en az ka\u00e7 santimetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) A) 735 B) 780 C) 825 D) 870 10 cm Yukar\u0131da verilen dik dairesel silindirin hacmi ka\u00e7 5. Hacmi 768 cm3 olan dik silindirin y\u00fcksekli\u011fi 4 cm\u2019dir. santimetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) A) 500 B) 750 C) 1000 D) 1250 Buna g\u00f6re bu silindirin taban \u00e7evresi ka\u00e7 santi- metredir? (\u220f = 3 al\u0131n\u0131z.) A) 36 B) 48 C) 60 D) 72 3. 12 br 6. 2 cm 2 cm Yukar\u0131daki konserve kutusunun taban \u00e7ap\u0131n\u0131n uzun- lu\u011fu y\u00fcksekli\u011finin yar\u0131s\u0131na e\u015fittir. Buna g\u00f6re bu konserve kutusunun hacmi ka\u00e7 bi- Yukar\u0131da yan y\u00fcz\u00fc verilen dik silindirin hacmi en rimk\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) az ka\u00e7 santimetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) A) 300 B) 312 C) 324 D) 336 A) 216 B) 162 C) 54 D) 48 8. S\u0131n\u0131f 379","Uyguluyorum Dik Dairesel Silindirin Hacmi Test 90 7. Yanal alan\u0131 360 cm2 olan dik dairesel silindirin y\u00fck- 10. Alt taban alan\u0131, yan y\u00fcz alan\u0131na e\u015fit olan dik dairesel sekli\u011fi 5 cm\u2019dir. silindirin y\u00fcksekli\u011fi 3 cm\u2019dir. Buna g\u00f6re bu silindirin hacmi ka\u00e7 santimetre- Buna g\u00f6re bu dik silindirin hacmi ka\u00e7 santimetre- k\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) k\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) A) 2520 B) 2160 C) 1800 D) 1440 A) 180 B) 228 C) 276 D) 324 11. 4 cm 4 cm 8. 20 cm 10 cm \u015eekilde g\u00f6sterilen dik dairesel silindir bi\u00e7iminde- ki i\u00e7i bo\u015f demir borunun hacmi ka\u00e7 santimetre- 16 cm k\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) Yukar\u0131daki dik silindir par\u00e7as\u0131n\u0131n hacmi ka\u00e7 san- A) 2880 B) 2560 C) 2240 D) 1920 timetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) A) 1920 B) 1760 C) 1600 D) 1440 12. 3 br 9. 8 br 3 br 4 cm 6 br 3 br 9 cm Yukar\u0131da g\u00f6sterilen dik dairesel silindir \u015feklindeki ka- Yukar\u0131daki dikd\u00f6rtgensel k\u00e2\u011f\u0131d\u0131n uzun kenar\u0131 b\u0131n i\u00e7ine dikd\u00f6rtgenler prizmas\u0131 \u015feklinde cisim tama- etraf\u0131nda 180\u00b0 d\u00f6nd\u00fcr\u00fclmesiyle olu\u015facak cismin men batacak bi\u00e7imde at\u0131l\u0131yor. hacmi ka\u00e7 santimetrek\u00fcpt\u00fcr? (\u220f = 3 al\u0131n\u0131z.) Buna g\u00f6re kaptaki su seviyesi ka\u00e7 br artar? A) 512 B) 324 C) 216 D) 162 (\u220f = 3 al\u0131n\u0131z.) A) 1 B) 2 C) 3 D) 4 380 8. S\u0131n\u0131f","Dik Piramit ve Temel Elemanlar\u0131 Bir \u00e7okgensel b\u00f6lgenin t\u00fcm noktalar\u0131n\u0131n bulundu\u011fu y\u00fczey d\u0131\u015f\u0131ndaki bir nokta ile birle\u015fimine piramit denir. Piramidin tepe noktas\u0131n\u0131n tabana olan uzakl\u0131\u011f\u0131na piramidin y\u00fcksekli\u011fi denir. Y\u00fcksekli\u011fi taban\u0131n merkezinden ge- \u00e7en piramitler dik piramittir. Tepe noktas\u0131 Piramidin y\u00fcksekli\u011fi Yan y\u00fcz Yanal Yan y\u00fcz ayr\u0131t y\u00fcksekli\u011fi Taban Taban Taban ayr\u0131t\u0131 Kare Dik Piramit Kare Dik Piramidin A\u00e7\u0131n\u0131m\u0131 \u2022 Dik piramitler tabandaki \u00e7okgene g\u00f6re isimlendirilir. x 5 cm \u00d6rnek: Yandaki kare dik piramidin yan y\u00fcz 10 cm y\u00fcksekli\u011fini bulal\u0131m. b) x2 = 52 + 122 12 cm x2 = 25 + 144 c) x2 = 169 x = 13 89 1. A\u015fa\u011f\u0131daki piramitleri isimlendirerek y\u00fcz say\u0131s\u0131n\u0131, ayr\u0131t say\u0131s\u0131n\u0131 ve k\u00f6\u015fe say\u0131s\u0131n\u0131 bulunuz. a) 8. S\u0131n\u0131f 381","Dik Piramit ve Temel Elemanlar\u0131 2. A\u015fa\u011f\u0131daki piramitlerin a\u00e7\u0131n\u0131mlar\u0131n\u0131 \u00e7izerek a\u00e7\u0131n\u0131m \u00fczerinde ayr\u0131t uzunluklar\u0131n\u0131 yaz\u0131n\u0131z. a) b) 5 cm 8 cm 4 cm 3 cm 10 cm 3. A\u015fa\u011f\u0131daki piramitlerin b\u00fct\u00fcn ayr\u0131t uzunluklar\u0131 4. A\u015fa\u011f\u0131daki kare dik piramidin yan y\u00fcz y\u00fcksekli\u011fini14 cm toplam\u0131n\u0131 bulunuz. bulunuz. a) ? 10 cm 7 cm 12 cm 96 cm 9 cm b) 5. A\u015fa\u011f\u0131daki dikd\u00f6rtgen piramidin y\u00fcksekli\u011fini bu- lunuz. 10 cm 20 cm ? 32 cm 382 8. S\u0131n\u0131f","Dik Koni ve Elemanlar\u0131 Bir dairenin b\u00fct\u00fcn noktalar\u0131n\u0131n daire d\u00fczlemi d\u0131\u015f\u0131ndaki bir nokta ile birle\u015fimine koni denir. Bu nokta koninin merke- zine dik ise bu koniler dik konidir. Tepe Noktas\u0131 Yanal y\u00fcz Ana \u00c5 Ana Yanal y\u00fcz do\u011fru do\u011fru a a h Y\u00fckseklik a2 = r2 + h2 (eksen) r Taban \u00e7evresi (2\u220fr) Taban Yar\u0131\u00e7ap Dik Koni r r= \u00c5 a 360 90 Dik Koninin A\u00e7\u0131n\u0131m\u0131 1. A\u015fa\u011f\u0131da baz\u0131 elemanlar\u0131 verilen dik koniyi \u00e7izerek 2. A\u015fa\u011f\u0131da a\u00e7\u0131n\u0131m\u0131 verilen dik konilerin istenen ele- istenen elemanlar\u0131 bulunuz. manlar\u0131n\u0131 ya da daire dilimine ait merkez a\u00e7\u0131n\u0131n (r = yar\u0131\u00e7ap, h = y\u00fckseklik, a = ana do\u011fru) \u00f6l\u00e7\u00fcs\u00fcn\u00fc bulunuz. a) r = 8 cm, h = 15 cm, a = ? a) 60\u00b0 a a=? 2 cm b) r = 3\u00a75, a = 6\u00a75, h = ? b) 20 cm r=? c) h = 5, a = 5\u00a73, r = ? r NOT: Dik koninin a\u00e7\u0131n\u0131m\u0131 bir daire dilimi ve bir c) daireden olu\u015fur. \u00ac 10 cm \u00ac=? 383 10 cm 3 8. S\u0131n\u0131f","Dik Koni ve Elemanlar\u0131 3. A\u015fa\u011f\u0131da verilen dik konilerin a\u00e7\u0131n\u0131m\u0131n\u0131 \u00e7izerek elemanlar\u0131n\u0131 ve daire dilimine ait merkez a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fc yaz\u0131n\u0131z. a) b) 20 cm 24 cm 5 cm 10 cm 4. A\u015fa\u011f\u0131da a\u00e7\u0131n\u0131m\u0131 verilen dik koninin y\u00fcksekli\u011fini 6. A\u015fa\u011f\u0131da merkezleri \u00e7ak\u0131\u015facak bi\u00e7imde verilen iki dik bulunuz. koni g\u00f6sterilmi\u015ftir. 45\u00b0 13 cm 5 cm 5\u00a72 cm AB 1 cm Buna g\u00f6re |AB|\u2019nu bulunuz. 5. Bir dik koninin a\u00e7\u0131n\u0131m\u0131nda daire dilimine ait mer- 7. Taban alan\u0131 81\u220f cm2 ve ana do\u011frusunun uzunlu- \u011fu 15 cm olan dik koninin y\u00fcksekli\u011fini bulunuz. kez a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc 210\u00b0 ve bu dik koninin taban yar\u0131\u00e7ap\u0131 14 cm oldu\u011funa g\u00f6re ana do\u011fru uzunlu- \u011funu bulunuz. 384 8. S\u0131n\u0131f","Test Dik Piramit ve Dik Koni Uyguluyorum 91 4. 1. Yukar\u0131daki \u015fekilde \u00fc\u00e7genlerden ka\u00e7 tanesi silinir- se kalan \u015fekil kare dik piramidin a\u00e7\u0131n\u0131m\u0131 olur? A) 1 B) 2 C) 3 D) 4 Yukar\u0131da birim kareli zeminde yan y\u00fczlerinden bir tanesi verilen kare dik piramidin ayr\u0131t uzunluklar\u0131 toplam\u0131 ka\u00e7 birimdir? A) 72 B) 84 C) 92 D) 104 2. f e d a 5. bc 12 cm Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen \u00fc\u00e7gen dik piramit kapa- 10 cm t\u0131ld\u0131\u011f\u0131nda hangi kenarlar\u0131 \u00fcst \u00fcste gelir? A) a ile c B) b ile d C) e ile f D) a ile f Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen kare dik piramidin y\u00fck- sekli\u011fi ka\u00e7 santimetredir? A) 10 B) 8 C) 6 D) 4 3. A\u015fa\u011f\u0131dakilerden hangisi dik piramit ve dik koni- 6. Y\u00fcksekli\u011fi 4\u00a73 cm ve taban ayr\u0131t\u0131 4\u00a72 cm olan bir nin ortak elemanlar\u0131ndan biridir? kare dik piramidin yanal ayr\u0131t\u0131 ka\u00e7 santimetredir? A) Ana do\u011fru B) Ayr\u0131t A) 16 B) 12 C) 10 D) 8 C) Taban yar\u0131\u00e7ap\u0131 D) Yan y\u00fcz 8. S\u0131n\u0131f 385","Uyguluyorum Dik Piramit ve Dik Koni Test 91 7. 10. \u00ac 20 cm 15 cm 16 cm 6 cm Yukar\u0131daki dik koninin a\u00e7\u0131n\u0131m\u0131nda yanal y\u00fcz a\u015fa- Yukar\u0131da verilen dik koninin a\u00e7\u0131n\u0131m\u0131nda \u00ac ka\u00e7 de- \u011f\u0131dakilerden hangisi olabilir? recedir? A) B) A) 90 B) 108 C) 120 D) 144 12 cm 15 cm 11. r C) D) 17 cm 8 cm 12 cm Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen dik koninin taban \u00e7ap\u0131- n\u0131n uzunlu\u011fu ka\u00e7 santimetredir? 8. Taban alan\u0131 75 cm2 ve y\u00fcksekli\u011fi 12 cm olan dik A) 18 B) 12 C) 10 D) 9 koninin ana do\u011frusunun uzunlu\u011fu ka\u00e7 santimet- redir? (\u220f = 3 al\u0131n\u0131z.) A) 9 B) 13 C) 15 D) 17 12. 216\u00b0 20 cm 9. A\u00e7\u0131n\u0131m\u0131ndaki daire dilimine ait merkez a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fc- s\u00fc 60\u00b0 olan dik koninin ana do\u011frusunun uzunlu\u011fu 60 cm\u2019dir. Buna g\u00f6re bu dik koninin yar\u0131\u00e7ap\u0131 ka\u00e7 santimet- Yukar\u0131daki kuma\u015ftan sar\u0131 boyal\u0131 k\u0131s\u0131m kesilerek \u00e7\u0131- redir? kar\u0131lacak ve bu k\u0131sm\u0131n yar\u0131\u00e7aplar\u0131 k\u0131vr\u0131l\u0131p birle\u015ftirile- rek taban\u0131 bo\u015f bir dik koni yap\u0131lacakt\u0131r. A) 10 B) 15 C) 20 D) 30 Buna g\u00f6re bu dik koninin taban \u00e7evresi ka\u00e7 san- timetre olur? (\u220f = 3 al\u0131n\u0131z.) A) 60 B) 72 C) 84 D) 96 386 8. S\u0131n\u0131f","Test Geometrik Cisimler Ba\u015far\u0131yorum 92 1. A\u015fa\u011f\u0131da g\u00f6sterilen kare dik prizma \u015feklindeki binalar\u0131n tabanlar\u0131 \u00f6zde\u015f olup bir tanesinin alt taban\u0131n\u0131n alan\u0131 100 m2 dir. ? 48 m Binalar\u0131n t\u00fcm ayr\u0131tlar\u0131n\u0131n uzunluklar\u0131 toplam\u0131 s\u0131ras\u0131yla 140 m ve 220 m\u2019dir. Buna g\u00f6re bu iki binan\u0131n \u015fekilde g\u00f6sterilen k\u00f6\u015feleri aras\u0131na \u00e7ekilen bir ipin uzunlu\u011fu en az ka\u00e7 metredir? A) 52 B) 60 C) 64 D) 80 2. A\u015fa\u011f\u0131da taban merkezleri \u00e7ak\u0131\u015f\u0131k olacak \u015fekilde i\u00e7 i\u00e7e yerle\u015ftirilen dik dairesel silindir bi\u00e7iminde iki su kab\u0131 g\u00f6ste- rilmi\u015ftir. 10 cm 5 cm 4 cm 8 cm Bu kaplardan i\u00e7tekine 168 cm3 su koyuluyor ve bu i\u00e7teki kap dolup ta\u015farak d\u0131\u015ftaki kab\u0131n bir k\u0131sm\u0131n\u0131 dolduruyor. Buna g\u00f6re d\u0131\u015ftaki kab\u0131n ka\u00e7 santimetrelik k\u0131sm\u0131 su ile dolmu\u015ftur? (\u220f yerine 3 al\u0131n\u0131z.) A) 4 B) 3 4 D) 1 C) 3 8. S\u0131n\u0131f 387","Ba\u015far\u0131yorum Geometrik Cisimler Test 92 3. A\u015fa\u011f\u0131da birim kareli zemin \u00fczerinde verilen \u00e7okgen \u015feklindeki levhalar kullan\u0131larak bir dik prizma olu\u015fturulacakt\u0131r. 2 cm 2 cm Buna g\u00f6re olu\u015fturulan dik prizman\u0131n santimetre cinsinden uzunluklar\u0131 verilen a\u00e7\u0131n\u0131m\u0131 a\u015fa\u011f\u0131dakilerden han- gisidir? A) B) 8 6 6 10 12 12 8 6 8 6 10 C) D) 10 6 68 6 8 10 10 12 12 8 388 8. S\u0131n\u0131f","Test Geometrik Cisimler Ba\u015far\u0131yorum 93 1 ve 2. sorular\u0131 a\u015fa\u011f\u0131daki bilgilere g\u00f6re cevaplay\u0131n\u0131z. A\u015fa\u011f\u0131da g\u00f6sterilen halter dik dairesel silindir bi\u00e7imindeki iki \u00f6zde\u015f a\u011f\u0131rl\u0131k ve yar\u0131cap\u0131 2 cm olan dik dairesel silindir bi\u00e7imindeki bir demir \u00e7ubuktan olu\u015fmaktad\u0131r. 10 cm 10 cm 20 cm 100 cm 1. Bu halterin demir \u00e7ubu\u011funun g\u00f6r\u00fclebilen yan y\u00fczeyinin alan\u0131 ka\u00e7 santimetrekaredir? (\u220f yerine 3 al\u0131n\u0131z.) A) 1200 B) 1080 C) 960 D) 840 2. Bu halterin \u00fcretiminde iki a\u011f\u0131rl\u0131\u011f\u0131n her 10 cm3\u2019\u00fc i\u00e7in 2 TL para harcanm\u0131\u015ft\u0131r. Buna g\u00f6re a\u011f\u0131rl\u0131klar i\u00e7in toplam ka\u00e7 lira para harcanm\u0131\u015ft\u0131r? (\u220f yerine 3 al\u0131n\u0131z.) A) 1000 B) 1200 C) 1400 D) 1600 3. A\u015fa\u011f\u0131da \u015eekil 1\u2019de oyun hamurundan yap\u0131lm\u0131\u015f, y\u00fcksekli\u011fi verilen kare dik piramit \u015feklindeki bir maket g\u00f6sterilmi\u015ftir. Bu maketin t\u00fcm ayr\u0131t uzunluklar\u0131 ayn\u0131 oranda b\u00fcy\u00fct\u00fclerek \u015eekil 2\u2019deki maket elde ediliyor. 6\u00a72 br 9\u00a72 br 15 br 15 br \u015eekil 2 \u015eekil 1 Buna g\u00f6re \u015eekil 1\u2019deki maketin yan ayr\u0131tlar\u0131ndan bir tanesinin uzunlu\u011fu ka\u00e7 santimetredir? A) 2\u00e630 B) \u00ca122 C) 5\u00a75 D) \u00ca130 8. S\u0131n\u0131f 389","Ba\u015far\u0131yorum Geometrik Cisimler Test 93 4. A\u015fa\u011f\u0131da dikd\u00f6rtgenler prizmas\u0131 bi\u00e7imindeki bir deponun \u015fekilde g\u00f6sterilen iki k\u00f6\u015fesinin aras\u0131na do\u011frusal olarak bir boru d\u00f6\u015fenmi\u015ftir. 18 dm 40 dm 24 dm Buna g\u00f6re bu borunun uzunlu\u011fu en az ka\u00e7 desimetredir? A) 48 B) 50 C) 54 D) 60 5. A\u015fa\u011f\u0131da verilen daire dilimi ve daire \u015feklindeki kartonlardan hangisi bir koninin a\u00e7\u0131n\u0131m\u0131na ait y\u00fczeyler ola- bilir? A) B) 60\u00b0 r 120\u00b0 r 3r 3r C) r D) r 60\u00b0 120\u00b0 4r 4r 390 8. S\u0131n\u0131f","Cevaplar \u00c7\u00f6z\u00fcyorum 1 2. a) 25\u00b732 b) 23\u00b732\u00b772 c) 32\u00b752\u00b773\u00b711 \u00e7) 24\u00b73\u00b752\u00b772\u00b7113 1. a) 1, 2, 4, 8 b) 1, 2, 3, 4, 6, 12 3. a) 120 b) 168 7. 20, 40 c) 1, 3, 5, 15 \u00e7) 1, 2, 4, 5, 10, 20 d) 1, 2, 3, 4, 6, 8, 12, 24 e) 1, 3, 11, 33 4. 64 5. 720 6. 28 8. 23\u00b752\u00b772 f) 1, 2, 4, 5, 8, 10, 20, 40 g) 1, 3, 5, 15, 25, 75 \u00c7\u00f6z\u00fcyorum 6 \u011f) 1, 2, 4, 5, 10, 20, 25, 50, 100 1. 8 2. 10 3. 15 4. a) 12 5. 40 6. 3 b) 11 11. 30 h) 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 10. 24 2. a) 1,55 - 5,11 b) 1,76 - 2,38 - 4,19 7. a) 17 8. 150 9. 9 b) 180 3. a) 1, 5, 15 b) 1, 2, 19, 38 c) 3, 6, 18, 27 \u00e7) 1, 2, 10, 15 4. a) 2, 7, 21, 42 b) 5, 8, 10, 16, 20, 80 \u00c7\u00f6z\u00fcyorum 7 1. 24 2. 60 3. 122 4. a) 16.40 5. 36 6. 57 b) 18.40 12. 954 \u00c7\u00f6z\u00fcyorum 2 2. 15 cm, 26 cm, 30 cm \u00fc\u00e7geni c) 21 1. 23, 37, 53 3. a) 2 b) 3,5 c) 2,3 \u00e7) 2,5 7. 72 8. a) 540 9. 15 10. 74 11. 520 d) 5,7 e) 2,3 f) 3,5 g) 3,11 b) 9 4. a) 12 veya 18 b) 15 veya 75 c) 30 veya 60 \u00e7) 42 veya 84 13. 92 14. 14 260 15. 6 16. 85 17. 72 18. 87 19. 33 20. 17 5. 2, 7 \u00c7\u00f6z\u00fcyorum 8 \u00c7\u00f6z\u00fcyorum 3 1. a, b, e, f, g 1. a) 20 = 22\u00b751 b) 24 = 23\u00b73 c) 32 = 25 2. a) 13 b) 8, 15, 24 c) 25, 33 \u00e7) 1 d) 19 e) yok \u00e7) 45 = 32\u00b75 d) 54 = 2\u00b733 e) 60 = 22\u00b73\u00b75 f) 77 = 7\u00b711 g) 90 = 2\u00b732\u00b75 \u011f) 96 = 25\u00b73 3. b ile c 2. 1 ile 48, 3 ile 16 3. 17 h) 150 = 2\u00b73\u00b752 \u0131) 180 = 22\u00b732\u00b75 i) 225 = 32\u00b752 5. a) A = 12 b) B = 15 \u00c7\u00f6z\u00fcyorum 9 7. 7 8. 6 2. a) 36 = 22\u00b732 b) 75 = 3\u00b752 c) C = 20 c) 100 = 22\u00b752 d) 260 = 22\u00b75\u00b713 1. 1 ile 20, 4 ile 5 4. 81 6. 21 3. a) 168 b) 180 c) 126 \u00e7) 525 d) 495 \u00c7\u00f6z\u00fcyorum 10 4. a) 1, 4, 14, 28 b) 1, 10, 25, 50 1. a) 16 b) 125 c) \u201349 \u00e7) 1 d) 1 c) 1, 9, 27, 81 \u00e7) 1, 15, 21, 35, 105 g) \u20131 \u011f) 8 h) \u201364 e) \u201381 f) \u20131 5. a) A = 48 B = 24 C = 12 D=6 E=3 2. a) 1 1 1 1 1 b) P = 3 R=3 S = 15 T=5 2 b) 8 c) 81 \u00e7) 81 d) - 3 h) \u20131 6. 3 7. 120 8. 2, 3, 4, 5, 7 1 1 1 1 e) - 5 f) 16 g) - 36 \u011f) - 100 \u00c7\u00f6z\u00fcyorum 4 \u0131) \u20131 i) - 1 j) 1 k) - 1 343 121 256 1. a) 3 b) 5 c) 10 \u00e7) 7 d) 15 3. a, b, c g) 10 \u011f) 25 h) 90 e) 16 f) 36 d) 52 2. a) 23\u00b732 b) 2\u00b75 c) 22\u00b73 8. 3 4. a) > b) < c) > \u00e7) < d) > e) = f) > g) > 3. a) 8 b) 16 5. a) 17 b) 52 c) 65 \u00e7) \u20137 d) 17 e) 28 f) \u2013101 g) 17 4. 22 5. 32 6. 60 7. 126 6. a) \u20131 \u00c7\u00f6z\u00fcyorum 5 e) 2 b) 7,7 c) 3\u20133 \u00e7) \u201310, \u201310, \u201310, \u201310, d) \u20132 f) \u20133 g) 3 1. a) 24 b) 36 c) 75 \u00e7) 100 d) 360 \u011f) \u20132 h) 5 g) 144 \u011f) 400 h) 1500 e) 132 f) 84 73 8. 14 7. 8 8. S\u0131n\u0131f 391","Cevaplar \u00c7\u00f6z\u00fcyorum 11 \u00c7\u00f6z\u00fcyorum 18 1. a) 28 b) 312 c) 5\u20136 \u00e7) 615 d) 66 1. a) 25 b) 39 c) 5\u20131 \u00e7) 4\u20133 d) 512 e) 320 f) 2\u201318 g) \u2013106 \u011f) 224 h) \u2013720 e) 314 f) \u201354 2. a) a = 8 b) c = 4 c) d = 16 \u00e7) e = \u201310 d) y = 7 2. a) 64 b) 1 c) 16 \u00e7) - 1 d) \u20131 e) 1 3. a) 2\u20134 b) \u20131 c) 44 \u00e7) 102 27 4. a) 212 b) 4\u20139 c) 38 \u00e7) 25010 5. a) 2\u20133 b) 217 c) 3\u20131 \u00e7) 5\u20136 3. a) 210 b) 3\u20136 c) 312 \u00e7) \u2013216 6. a) 211 b) 47 c) 416 \u00e7) 24 d) 312 e) 56 f) 5\u20136 g) \u2013215 4. a) 6 b) 4 c) 5 \u00e7) 6 d) 6 e) 9 \u00c7\u00f6z\u00fcyorum 19 \u00c7\u00f6z\u00fcyorum 12 b) 12\u20132 < 7\u20132 < 5\u20132 c) 83 < 210 < 47 1. a) 2\u00b7100 + 7\u00b710\u20131 d) 4\u20139 < 8\u20133 < 16\u20132 e) 718 < 630 < 730 b) 4\u00b7100 + 2\u00b710\u20131 1. a) 153 < 156 < 157 c) 6\u00b7100 + 3\u00b710\u20131 + 8\u00b710\u20132 \u00e7) 6252 = 254 < 1253 d) d = 7 \u00e7) 3\u00b7101 + 2\u00b7100 + 5\u00b710\u20131 d) 4\u00b7101 + 8\u00b7100 + 1\u00b710\u20131 + 6\u00b710\u20132 2. a) a = 6 b) b = 10 c) c = 4 e) 2\u00b7101 + 1\u00b7100 + 1\u00b710\u20131 + 2\u00b710\u20132 f) 8\u00b7100 + 6\u00b7100 + 9\u00b710\u20132 + 3\u00b710\u20133 \u00c7\u00f6z\u00fcyorum 13 g) 4\u00b7101 + 4\u00b710\u20132 \u011f) 8\u00b7100 + 2\u00b710\u20132 + 7\u00b710\u20133 1. a) 213 b) 37 c) 513 \u00e7) 76 d) 103 h) 1\u00b7102 + 2\u00b7101 + 5\u00b7100 + 3\u00b710\u20131 + 8\u00b710\u20132 + 6\u00b710\u20133 g) 5\u20132 \u011f) 7\u201321 h) 106 \u0131) 6\u00b7102 + 3\u00b7101 + 7\u00b7100 + 9\u00b710\u20131 + 1\u00b710\u20132 + 6\u00b710\u20133 e) 2\u20137 f) 39 j) 2\u20136 i) 7\u00b7102 + 9\u00b7101 + 5\u00b7100 + 9\u00b710\u20132 + 6\u00b710\u20134 e) 0 j) 4\u00b7103 + 1\u00b7102 + 6\u00b7101 + 6\u00b710\u20132 \u0131) 3\u20135 i) \u2013103 k) 3\u00b7103 + 7\u00b7102 + 8\u00b7101 + 2\u00b7100 + 2\u00b710\u20131 + 9\u00b710\u20132 + 3\u00b710\u20133 2. a) 5 b) 4 c) \u20137 \u00e7) 17 d) 3 l) 9\u00b710\u20133 \u00c7\u00f6z\u00fcyorum 14 m) 3\u00b710\u20132 + 1\u00b710\u20133 + 2\u00b710\u20134 1. a) 64 b) 127 c) 705 \u00e7) 3011 d) 21\u20133 g) 30\u20139 \u011f) 188 \u00e7) (\u20133)5\u00b775 e) 146 f) \u2013185 2. a) 28\u00b758 b) 2\u20139\u00b77\u20139 c) (\u20133)6\u00b756 3. 14 4. 8 5. 6 2. a) 34,75 b) 59,28 c) 61,37 \u00e7) 204,8 d) 600,59 e) 800,008 \u00c7\u00f6z\u00fcyorum 15 b) 217 c) 2\u201322 \u00e7) 5\u20131 f) 150,17 g) 40,004 \u011f) 90002,5 e) \u2013319 f) 65 \u00e7) 157\u00b75 h) 5000,0207 1. a) 210 b) 610 c) 100\u20139 g) 1 d) 75 3. a) 4, \u20131 e) 0, 0, 8 3 10 b) 3, 0 f) 3, 8, 2 2. a) 66 f) c 7 m c) \u20131, 8 g) 8, \u20134 \u00e7) 1, 2 \u011f) 4, 1, 10 d) 1410\u00b749 e) 1518 d) 2, 7, 0, 2 \u00c7\u00f6z\u00fcyorum 16 b) 37 c) 5\u20132 \u00e7) 10\u20139 4. b, \u00e7 e) 7\u20134 f) 10\u20137 1. a) 25 c) c = 4 \u00c7\u00f6z\u00fcyorum 20 b) 13\u00b7107 c) 8\u00b7109 d) 5\u20136 b) 7\u20137 e) x = 0 e) 4863\u00b710\u201310 f) 18\u00b7106 \u00e7) 18\u00b710\u20138 1. a) 9\u00b7105 h) 1\u00b710\u20139 g) 7\u00b7109 2. a) 29 b) b = 3 d) 7\u00b710\u20138 3. a) a = 2 d) e = 4 \u011f) 3\u00b71012 \u00e7) d = \u20132 2. a) 470\u00b7107 \/ 4700\u00b7106 \/ 47 000\u00b7105 \u00c7\u00f6z\u00fcyorum 17 b) 21 800\u00b710\u20136 \/ 218 000\u00b710\u20137 \/ 2 180 000\u00b710\u20138 c) 36,2\u00b7105 \/ 362\u00b7104 \/ 3620\u00b7103 1. a) 27 b) 511 c) 3\u20133 \u00e7) 10\u20136 d) 11\u20137 e) 63 \u00e7) 1,84\u00b710\u201310 \/ 18,4\u00b710\u201311 \/ 184\u00b710\u201312 d) 798\u00b7106 \/ 7980\u00b7105 \/ 79 800\u00b7104 2. a) 67 b) 75 c) 37\u00b765 \u00e7) 6 d) 5\u201313 e) 0,081\u00b71010 \/ 0,81\u00b7109 \/ 8,1\u00b7108 3. a) A = 2 b) B = 5 c) C = 12 \u00e7) D = 77 d) F = 30 e) Y = 10 392 8. S\u0131n\u0131f","Cevaplar 3. a) 84\u00b7107 \/ 8,4\u00b7108 \/ 0,84\u00b7109 2. a) 2 b) 4 c) 5 \u00e7) 6 d) 8 e) 10 f) 12 b) 78,192\u00b710\u20137 \/ 7,8192\u00b710\u20136 \/ 0,78192\u00b710\u20135 3. c) 6,533\u00b710\u20135 \/ 0,6533\u00b710\u20134 \/ 0,06533\u00b710\u20133 \u00e7) 0,98\u00b71010 \/ 0,098\u00b71011 \/ 0,0098\u00b71012 a) 3 3,5 4 d) 0,063\u00b710\u20133 \/ 0,0063\u00b710\u20132 \/ 0,00063\u00b710\u20131 e) 0,0008\u00b7106 \/ 0,00008\u00b7107 \/ 0,000008\u00b7108 b) 4 4,5 5 4. a, \u00e7, e, f c) 7 7,5 8 5. a) 710 000 b) 6 800 000 c) 0,241 \u00e7) 60 000 000 \u00e7) 9 9,5 10 d) 0,000091 g) 600 000 e) 0,0048 f) 57 300 \u00e7) 27 6. a) 4 b) 0 c) 5,3 d) 10 10,5 11 d) \u20131 e) 6160 f) 780 e) 11 11,5 12 7. b, c \u00c7\u00f6z\u00fcyorum 21 f) 14 14,5 15 1. a) 2\u00b7102 b) 3,6\u00b7102 c) 9,4\u00b7103 \u00e7) 4\u00b7104 f) 7,1\u00b7106 g) 8,95\u00b7107 d) 7,4\u00b7104 e) 6\u00b7105 \u0131) 1,23\u00b710\u20136 i) 3,9\u00b7109 4. a) 10-15 b) 50-63 c) 82-99 l) 8,107\u00b710\u20137 m) 5,4\u00b710\u20137 \u00e7) 145-168 d) 226-288 e) 401-483 \u011f) 6\u00b710\u20134 h) 3,8\u00b710\u20135 5. a) 6-7 j) 5,26\u00b7109 k) 7,01\u00b710\u20135 \u00e7) 2-3 b) 7-8 c) 2-3 d) 11-12 e) 37-38 n) 9,1086\u00b71012 6. a) 4, 5, 6 \u00e7) 8, 9, 10 2. a, b, e, g, \u011f, h, \u0131, i, j, k f) 2, 3, 4, 5, \u2026, 15 b) 6, 7, 8, 9 c) 5, 6 3. a) 2\u00b7109 b) 4,2\u00b710\u20133 c) 1,07\u00b7105 \u00e7) 1,55\u00b7107 d) 10, 11, 12 e) 1, 2, 3 f) 1\u00b7108 g) 3,6\u00b7105 d) 9,2\u00b7104 e) 3,8\u00b710\u20138 g) 10, 11, 12, \u2026, 24 4. 1,25\u00b710\u20137 5. 7\u00b7109 6. 9,6\u00b71012 7. 9\u00b710\u20132 8. \u201372 \u00c7\u00f6z\u00fcyorum 24 \u00c7\u00f6z\u00fcyorum 22 \u00e7) 16 d) 25 e) 36 f) 49 g) 64 1. a) 2\u00a73 b) 3\u00a72 c) 2\u00a75 \u00e7) 2\u00a77 d) 4\u00a72 e) 2\u00e610 i) 144 j) 169 k) 196 l) 225 f) 3\u00a75 g) 4\u00a73 \u011f) 5\u00a72 h) 3\u00a77 \u0131) \u20136\u00a72 i) \u20134\u00a75 1. a) 1 b) 4 c) 9 j) \u20134\u00a76 k) \u20135\u00a75 l) 5\u00a76 m) 6\u00a75 n) 10\u00a72 o) \u20135\u00e610 \u011f) 81 h) 100 \u0131) 121 \u00f6) 8\u00a72 p) 6\u00a76 r) \u20139\u00a73 s) 4\u00e611 2. 1, 9, 25, 49, 64, 81, 100, 144, 196, 225, 289, 324 3. a) 1, 4, 9 b) 1, 4, 9, 16, 25, 36 c) 64, 81, 100 \u00c7\u00f6z\u00fcyorum 25 \u00e7) 169, 196, 225 d) 289, 324, 361, 400 1. a) \u00e612 b \u00e618 c) \u00e627 \u00e7) \u00e620 d) \u00e663 e) \u00ca112 f) \u00e680 g) \u00e628 \u011f) \u00e675 h) \u00ca125 \u0131) \u00e640 i) \u00ca176 4. a) 5 b) 7 c) 10 \u00e7) 13 d) 16 e) 19 j) \u00ca117 k) \u00ca180 l) \u00ca162 m) \u00ca300 n) \u00ca450 o) \u00ca192 5. a) 0 b) 1 c) 2 \u00e7) 4 d) 6 e) 8 \u00f6) \u2013\u00ca196 p) \u2013\u00ca135 r) \u2013\u00ca320 s) \u2013\u00ca250 f) 9 g) 11 \u011f) 12 h) 14 \u0131) 17 i) 18 j) 20 k) 21 l) 24 m) 25 n) 30 o) 32 2. a, f 3. a) 5\u00a72 < 3\u00a76 < 4\u00a75 b) 3\u00a75 < 7\u00a72 < 6\u00a73 c) 3\u00a77 < 6\u00a72 < 10 6. a) 131 b) 23 c) 34 \u00e7) 75 d) 52 e) 116 f) 29 g) 33 \u00e7) 4\u00a76 < 2\u00e635 < 14 d) \u20135\u00a75 < \u201311 < \u20133\u00e613 7. a) 1 4. a) 2\u00e612, 4\u00a73 b) 3\u00e612, 6\u00a73 c) 2\u00e632, 8\u00a72 b) 11 c) 1 \u00e7) 4 d) 6 \u00e7) 2\u00e645 d) 2\u00e650, 5\u00a78, 10\u00a72 e) 3\u00e650 8. a) 96 cm b) 132 cm 5. a) 20 b) 4 c) 8 \u00e7) 2 d) 9 6. a) 3,4 b) 2,8 c) 5,1 \u00e7) 5,6 d) 6,8 9. a) a = 2 b) f = 5 f) 9,8 g) 10,2 \u011f) 12,6 h) 13,2 e) 8,5 \u00c7\u00f6z\u00fcyorum 23 b) 3 ile 4 c) 4 ile 5 \u00e7) 6 ile 7 \u00c7\u00f6z\u00fcyorum 26 c) 4\u00e615 \u00e7) 2\u00e630 d) 3\u00e633 e) 6\u00a77 1. a) 2 ile 3 e) 8 ile 9 f) 9 ile 10 g) 12 ile 13 \u011f) 18\u00e615 h) 12\u00e655 \u0131) \u00e630 i) 2\u00e630 d) 7 ile 8 h) 15 ile 16 \u0131) 16 ile 17 i) 18 ile 19 1. a) \u00e621 b) \u00e610 \u011f) 13 ile 14 k) 24 ile 25 f) 20\u00a75 g) 36\u00a76 j) 21 ile 22 j) 36\u00e635 8. S\u0131n\u0131f 393","Cevaplar 2. a) 6\u00e615 b) 12\u00a73 c) 20\u00a75 \u00e7) 30 d) \u201321\u00a76 e) 18\u00e635 \u00c7\u00f6z\u00fcyorum 30 3. a) \u00e670 b) \u00e666 c) 28\u00e615 \u00e7) 6\u00e639 d) 4\u00e651 1. a) 3 b) 4 c) 2 \u00e7) \u20133 e) 40\u00a72 f) 30\u00a72 g) 20\u00a76 \u011f) 60\u00a73 h) 18\u00a76 d) 6\u00a72 e) 3\u00a73 f) 4\u00a75 g) 2\u00a76 \u011f) \u20134\u00a75 h) 0 \u0131) \u00e613 \u20137\u00a75 i) 0 4. \u00b7 2 \u00a72 3\u00a75 \u20134 \u00e675 2. a) 6\u00a72 b) 2\u00a73 c) 2\u00a72 \u00e7) 2\u00a77 \u00a76 2\u00a72 6\u00a75 \u20138 10\u00a73 d) \u00a75 e) \u00e611 f) \u20134\u00a72 g) \u20133\u00a76 3 2\u00a73 3\u00e630 \u20134\u00a76 15\u00a72 \u011f) 4\u00a72 h) 0 \u0131) 7\u00a75 i) 12\u00a72 3\u00a72 9\u00a75 \u201312 15\u00a73 \u00e663 3\u00e614 9\u00e635 \u201312\u00a77 15\u00e621 3. a) 2\u00a73 b) 9\u00e611 c) 4\u00e610 \u00e7) 7\u00a72 d) 4\u00a75 e) 5\u00a76 2\u00e610 4\u00a75 30\u00a72 \u20138\u00e610 10\u00e630 4. 14\u00a77, 19\u00a77, \u201331\u00a77 5. a) 96\u00a76 cm3 b) 20\u00e610 cm3 1. 5\u00a72 6. \u00a76 7. a) 6 b) 5 6. a) 12\u00e610 cm c) 36\u00a73 cm \u00e7) 48\u00a72 cm b) 8\u00e630 cm \u00c7\u00f6z\u00fcyorum 31 \u00c7\u00f6z\u00fcyorum 27 1. a) 0,1 b) 0,3 c) 0,6 \u00e7) 0,9 d) 1,4 e) 1,6 f) 2,5 g) 0,12 1. a) 3\u00a72, 5\u00a72 b) 4\u00e613 c) 6\u00a77, \u00a77 2. a) 2 b) 0,9 c) 0,5 \u00e7) 1,47 d) 3 e) 3 \u00e7) \u00e627, \u00e675 d) \u00ca180, \u00e680 e) \u00ca160 3. a) 1,2 br b) 2,4 br c) 3,6 br \u00e7) 4,4 br d) 5,2 br e) 6,8 br 2. a) \u00a72, 2\u00a72 b) \u00a73, 2\u00a73 c) \u00a76, 2\u00a76 4. a) 0,1 cm2 b) 0,72 cm2 c) 1,26 cm2 \u00e7) \u00a77, 2\u00a77 d) \u00a75, 2\u00a75 3. a, b, \u00e7, d 5. a) 2,2 dm b) 5 dm c) 5,2 dm \u00e7) 0,5 dm 4. \u00e610 \u2013 \u00e690, 2\u00a73 \u2013 \u00e675, \u00a78 \u2013 \u00e650, \u00ca112 \u2013 4\u00a77, 2\u00a76 \u2013 \u00e654, \u00ca125 \u2013 \u00e620 6. 52 c) 0,27 4 a) 2 b) 9 7 5. a, \u00e7, d \u00e7) 6. 4 7. 7\u00a75 8. \u00a72, 2\u00a72, 3\u00a72, 4\u00a72, 5\u00a72, 6\u00a72, 7\u00a72, 8\u00a72 \u00c7\u00f6z\u00fcyorum 32 1. a) Q b) Q c) Q \u00e7) I d) Q e) I \u00c7\u00f6z\u00fcyorum 28 f) Q g) Q \u011f) I h) Q \u0131) Q i) I 1. a) \u00a72 b) 3\u00a75 c) 2\u00a73 \u00e7) 2 d) 12 e) \u2013\u00e610 f) \u20133\u00a76 2. Q Z \u2022 1,72# I N g) \u2013\u00a76 \u011f) 8\u00a72 h) 14\u00a75 \u0131) 12 i) 28\u00a72 j) 3\u00a72 k) 7 l) 6 m) \u20135 5 2. 2 c) 12 5 15 9 2 \u2022 0 \u2022\u20138 \u2022 \u00e651 a) 3 b) 4 7 \u00e7) 3 d) 13 e) 14 f) 3 \u2022 \u00e6(\u20133)2 \u2022\u220f 1 g) 1 h) 5 5 11 2 \u011f) 6 \u0131) 4 i) 6 3. a) \u00a76 cm b) 9\u00a73 cm c) \u00e610 cm \u00e7) \u00a75 cm d) 2\u00a73 cm \u2022 1\/102 e) \u00a75 cm f) 5\u00a77 cm R 4. a) 15\u00a72 br2 b) 18\u00a73 br2 c) 196\u00a76 br2 \u00e7) 21\u00a72 br2 3. a) D b) Y c) Y \u00e7) D d) D e) D 5. 16\u00e615 cm 6. 80 cm2 4. a, c, \u00e7, e \u00c7\u00f6z\u00fcyorum 29 5. Do\u011fal say\u0131 \u2013 6, 0,72, \u00ca256 Tam say\u0131 \u2013 6, 0, 72, \u00ca256 1. a) 11 b) 8 c) 13 \u00e7) 9 d) 31 e) 41 Rasyonel Say\u0131 \u2013 6, 0, 72, \u00ca256, 1,13\u00b5 , 6\u20132 c) 7\u00a75 \u0130rrasyonel Say\u0131 \u2013 3\u220f, \u2013\u00e630 2. a) 7\u00a72 b) 9\u00a73 \u00e7) 6\u00a76 Ger\u00e7ek Say\u0131 \u2013 Hepsi d) 20\u00e611 e) 6\u00a77 + 5\u00e613 f) 14\u00e615 + 8\u00e613 3. a) 5\u00a72 b) 5\u00a73 c) 5\u00a75 \u00e7) 7\u00e610 \u00c7\u00f6z\u00fcyorum 33 b) May\u0131s c) 120 bin d) 18\u00a72 e) 14\u00a73 f) 11\u00a77 g) 13\u00a72 b) 5,3 kg c) 161,5 kg \u011f) 9\u00a76 h) 6\u00e611 \u0131) 10\u00e615 i) 10\u00a75 + 2\u00e610 1. a) 20 bin TL 2. a) 5,3 kg 394 8. S\u0131n\u0131f","Cevaplar \u00c7\u00f6z\u00fcyorum 34 b) 80 c) %40 \u00e7) D 4. a) Grafik: Kar\u0131\u015f\u0131k Meyve Suyu Yap\u0131m\u0131nda Kullan\u0131lan \u0130\u00e7ecekler b) Y c) Y Miktar (mL) 1. a) 30 2. a) D 550 250 200 \u00c7\u00f6z\u00fcyorum 35 0 \u0130\u00e7ecek t\u00fcr\u00fc Vi\u015fne Elma Mango 1. Siyah ara\u00e7 b) Grafik: Kar\u0131\u015f\u0131k Meyve Suyu Yap\u0131m\u0131nda Kullan\u0131lan \u0130\u00e7ecekler 140\u00b0 Gri ara\u00e7 Miktar (mL) 160\u00b0 Beyaz ara\u00e7 550 60\u00b0 250 200 1. Boks \u20ba 36, G\u00fcre\u015f \u20ba 40, Tekvando \u20ba 20, Karate \u20ba 24 0 \u0130\u00e7ecek t\u00fcr\u00fc Vi\u015fne Elma Mango c) Verileri kar\u015f\u0131la\u015ft\u0131rma bask\u0131n oldu\u011fundan s\u00fctun grafi\u011fi daha uygundur. \u00c7\u00f6z\u00fcyorum 36 \u00c7\u00f6z\u00fcyorum 37 2. 5 1. Grafik: Hava S\u0131cakl\u0131k De\u011ferleri 1. 5 S\u0131cakl\u0131k (\u00b0C) 3. a) Yaz\u0131, Tura b. 2, 4, 6 c) 3, 4, 5, 6 21 \u00e7) 2, 3, 5, 7, 11, 13, 17, 18 d) A, B, C, D, E 19 e) Cumartesi, Pazar b) 7, 25, 33, 41 18 4. a) 3 15 12 0 G\u00fcnler c) 16 mavi mor mor Pazartesi Sal\u0131 \u00c7ar\u015famba k\u0131rm\u0131z\u0131 2. Grafik: \u00d6d\u00fcn\u00e7 Al\u0131nan Kitap Say\u0131lar\u0131 \u00e7) 12, 16, 25, 30, 41 Say\u0131 mavi mavi mavi mor mor 140 k\u0131rm\u0131z\u0131 130 120 \u00c7\u00f6z\u00fcyorum 38 110 100 1. a) F\u0131nd\u0131kl\u0131 kurabiye b) \u00c7ikolatal\u0131 kurabiye c) Elmal\u0131 ve Portakall\u0131 kurabiye 0 Aylar 2. a) K\u0131z b) 7. s\u0131n\u0131f c) 8. s\u0131n\u0131f k\u0131z Ocak \u015eubat Mart Nisan 3. a) 5 b) 1 c) 2 ve 4 \u00e7) Asal say\u0131 d) \u00c7ift say\u0131 3. a) Tablo: \u015eirketle \u00c7al\u0131\u015fanlar\u0131n Say\u0131s\u0131 Cinsiyet Y\u0131llar 2020 2021 2022 4. a) daha az b) e\u015fit c) daha fazla Kad\u0131n Erkek 40 60 50 \u00c7\u00f6z\u00fcyorum 39 b) e\u015f olas\u0131l\u0131kl\u0131 50 60 30 d) e\u015f olas\u0131l\u0131kl\u0131 de\u011fil 1. a) e\u015f olas\u0131l\u0131kl\u0131 b) c) e\u015f olas\u0131l\u0131kl\u0131 de\u011fil 120\u00b0 144\u00b0 2022 2. 1 b) 1 1 \u00e7) 1 96\u00b0 2021 a) 6 24 c) 20 7 2020 c) 1 3. a) 0 b) 1 f) 0 \u00e7) 0 d) 1 e) 0 g) 1 4. a) D b) D c) D \u00e7) Y d) D 8. S\u0131n\u0131f 395","Cevaplar \u00c7\u00f6z\u00fcyorum 40 7. Banyo: xy + 3x Mutfak: 3xy \u2013 3x Koridor: 3xy Tuvalet: xy 1. 1 3 2 24 Salon: 8 xy Oda 1: 4xy a) 15 b) 5 c) 5 \u00e7) 5 d) 15 Oda 2: 4xy Toplam Alan: 24xy 34 2. 1 4 b) 7 \\\" 7 c) 0,2 \u20ba 0,8 \u00c7\u00f6z\u00fcyorum 43 a) 5 \\\" 5 1. a) Denklem \u00e7) 0,6 \u20ba 0,4 d) 1 \u20ba 0 e) %42 \u20ba %58 \u00e7) \u00d6zde\u015flik b) \u00d6zde\u015flik c) Denklem f) \u00d6zde\u015flik d) \u00d6zde\u015flik e) Denklem 3. 3 2 5 7 3 a) 10 b) 15 c) 6 \u00e7) 30 d) 10 2. a) 8xy + 10x \u00e7) a2 \u2013 2a + 1 4. a) \u2022 10\/29 b) \u2022 3\/13 f) 2n + 1 b) 8a2 + 2a \u2013 3 c) 8m \u20132mn + 4 \u2013 n \u2022 2\/29 \u2022 11\/13 d) 3y2 \u2013 22y \u2013 16 e) a2 + 2ab + b2 \u2022 6\/29 5. 4 2 12 \u00c7\u00f6z\u00fcyorum 44 a) 19 b) 19 c) 19 1. a) x2 + 10x + 25 6. 2 7. 2 c) m2 + 14m + 49 b) a2 + 4ab + b2 3 7 d) 16a2 + 16ab + 4b2 \u00e7) 4x + 12xy + 9y2 e) 4m2 + 20mn + 25n2 \u00c7\u00f6z\u00fcyorum 41 2. a) c2 + 2c + 1 c) 64 + 16m + m2 b) 4x2 + 4xy + y2 1. a) Terimler: 4a,7c \/ De\u011fi\u015fkenler: a,c \/ Katsay\u0131lar: 4,7 \/ Sabit Terim: Yok d) 4x2 + 4xyz + y2z2 \u00e7) 16x2 + 16xy + 4y2 e) 100 + 20xy + x2y2 b) Terimler: \u20135x2,12 \/ De\u011fi\u015fkenler: x \/ Katsay\u0131lar: \u20135,12 \/ Sabit Terim: 12 c) Terimler: 19x3y \/ De\u011fi\u015fkenler: x,y \/ Katsay\u0131lar: 10 \/ Sabit Terim: Yok \u00e7) Terimler: 10m2,\u20137m,6 \/ De\u011fi\u015fkenler: m \/ Katsay\u0131lar: 10,\u20137,6 \/ Sabit Terim: 6 2. a) 3a b) \u20135x c) 9m \u2013 7 \u00e7) 2x + 2y \u00c7\u00f6z\u00fcyorum 45 f) \u2013c \u2013 14 d) 9a2 + 7a\u2013b e) 7x2 \u2013 3 1. a) (x + y)2 = x2 + 2xy + y2 b) (2a + b)2 = 4a2 + 4ab + b2 3. a) \u2022 3\u00b74\u00b7x2 \u2022 10x2 + 2x2 \u2022 6\u00b72\u00b7x\u00b7x c) (3x + 2y)2 = 9x2 + 12xy + 4y2 b) \u2022 a\u00b7a\u00b7b \u2022 2a2b\u2013a2b \u2022 \u20137a2b+8a2b \u00e7) (n + 4m)2 = m2 + 8nm + 16m2 c) \u2022 \u20138\u00b7m\u00b7m \u2022 \u20132\u00b74m2 \u2022 \u20133m2 \u2013 5m2 d) (5a + 6b)2 = 25a2 + 60ab + 36b2 e) (2x + 7y)2 = 4x2 + 28xy + 49y2 d) \u2022 x + x + y + y \u2022 6x \u20134y + y + y \u2022 x + x + 7y \u2013 5y \u00c7\u00f6z\u00fcyorum 42 1. a) a2 b) 6x c) \u20138c \u00e7) 30x2 d) 64a g) \u2013m3 \u011f) a2b2c h) 2x3 e) \u20137x2 f) 12a2b j) \u201320de2 l) \u20132x4y3 \u00c7\u00f6z\u00fcyorum 46 k) 18ac \u0131) 10x3y i) \u20136y3 1. a) x2 \u2013 6x + 9 b) a2 \u2013 10ab + 25b2 c) 4m2 \u2013 16mn + 16n2 \u00e7) 36 \u2013 12x + x2 2. a) 6a + 8 b) \u201348x + 18 c) \u20132c \u2013 5 \u00e7) 3y2 + 10y d) 49x2 \u2013 140xy + 100y2 e) m2n2 \u2013 6mn2 + 9n2 g) 48 mn\u201342 m2 d) 12a3 \u2013 21a e) \u201318x4 + 6x f) 10ax + 6a 2. a) a2 \u2013 2a + 1 b) x2 \u2013 4xy + 4y2 c) 25 \u2013 10c + c2 \u00e7) 9x2 \u2013 24xy + 16y2 3. a) x2 + 5x + 6 b) x2 \u2013 y2 c) 6x2 + 23x + 20 d) 4a2 \u2013 24a2b + 36a2b2 e) 144 \u2013 24xy + x2y2 \u00e7) 2x2 \u2013 17x + 8 d) x2 \u2013 10x + 25 e) \u20136x2 + 23x \u2013 20 f) 27a2 \u2013 33a \u2013 20 g) 4x2 \u2013 9 4. a) 2x\u00b7(2x + 1) = 4x2 + 2x b) 3x\u00b7(3x + 1) = 9x2 + 3x \u00c7\u00f6z\u00fcyorum 47 c) x\u00b7(3x + 1) = 3x2 + x \u00e7) (x + 1)\u00b7(x + 2) = x2 + 3x + 2 1. a) (x \u2013 y)2 = x2 \u2013 2xy + y2 5. a) A = (x + 3)\u00b7(x + 3) = x2 + 6x + 9 b) (3a \u2013 b)2 = 9a2 \u2013 6ab + b2 b) A = 2x\u00b7(6x \u2013 1) = 12x2 \u2013 2x c) (5x \u2013 2y)2 = 25=2 \u2013 20xy + 4y2 c) A = (2a \u2013 3)\u00b7(2a + 3) = 4a2 \u2013 9 \u00e7) (4m \u20133n)2 = 16m2 \u2013 24mn + 9n2 \u00e7) A = (2m + 1)\u00b7(15 \u2013 m) = \u20132 m2 + 29 m + 15 d) (10x \u2013 6y)2 = 100x2 \u2013 120xy + 36y2 e) (9m \u2013 7n)2 = 81m2 \u2013 126mn + 49n2 6. a) 4a2 \u2013 15 b) 12x2 \u2013 20x \u2013 5 c) 20 m2 + 40 m + 15 \u00e7) \u201318a2 + 59a + 10 396 8. S\u0131n\u0131f","Cevaplar \u00c7\u00f6z\u00fcyorum 48 b) a2 \u2013 9 c) 36 \u2013 m2 \u00e7) 4x2 \u2013 9y2 3. a) 9x \u2013 10y b) 2a + b c) 49 e) a2b2 \u2013 4c2 \u00e7) 15x \u2013 1 d) ab \u2013 12 e) 256x4 1. a) x2 \u2013 y2 d) 49a2 \u2013 64b2 f) x2 \u2013 1 4. 2640 5. 80a 100 2. a) (x + 3)\u00b7(x \u2013 3) b) (2a + 1)\u00b7(2a \u2013 1) \u00c7\u00f6z\u00fcyorum 52 b) (a + 2b)\u00b7(a + 2b) c) (5 + x)\u00b7(5 \u2013 x) \u00e7) (3a + 5b)\u00b7(3a \u2013 5b) 1. a) (x + y)\u00b7(x + y) \u00e7) (x + 8y)\u00b7(x + 8y) d) (10x + 9y)\u00b7(10x \u2013 9y) e) (4ab + 7c)\u00b7(4ab \u2013 7c) e) (2a + 5b)\u00b7(2a + 5b) 88 c) (3 + m)\u00b7(3 + m) g) (3m + 12n)\u00b7(3m + 12n) f) c6x + 11m\u00b7c6x - 11m d) (4x + y)\u00b7(4x + y) h) (5a + 3b)\u00b7(5a + 3b) f) (5 + a)\u00b7(5 + a) i) 9a + 4b)\u00b7(9a + 4b) \u00c7\u00f6z\u00fcyorum 49 \u011f) (2x + 3)\u00b7(2x + 3) k) (6m + 7n)\u00b7(6m + 7n) \u0131) (x + 10)\u00b7(x + 10) 1. a) x2 \u2013 52 = (x + 5)\u00b7(x \u2013 5) j) (8x + 2)\u00cf(8x + 2) b) (2a)2 \u2013 b2 = (2a + b)\u00b7(2a \u2013 b) c) (3m)2 \u2013 (2n)2 = (3m + 2n)\u00b7(3m \u2013 2n) d) (2x)2 \u2013 4\u00b7y2 = (2x + 2y)\u00b7(2x \u2013 2y) e) (3a)2 \u2013 102 = (3a + 10)\u00b7(3a \u2013 10) 2. a) 4\/12\/9 b) 9\/6 c) 2x \u2013 y \u00e7) 20\/25 \u00c7\u00f6z\u00fcyorum 53 d) 3x\/18\/9y2 e) 49 f) \u00a72a\/10\u00a72a g) 3\/3x\/4y 1. a) (2x \u2013 y)\u00b7(2x \u2013 y) h) 9\/24\/16 \u011f) 26\/9 c) (4m \u2013 5n)\u00b7(4m \u2013 5n) b) (1 \u2013 3a)\u00b7(1 \u2013 3a) d) (10a \u2013 5b)\u00b7 (10a \u2013 5b) \u00e7) (2x \u2013 6y)\u00b7(2x \u2013 6y) 3. 96 4. 16 veya \u201316 5. 425 6. 75x2 \u2013 27y2 f) (9 \u2013 xy)\u00b7(9 \u2013 xy) e) (8 \u2013 7m)\u00b7(8 \u2013 7m) \u00c7\u00f6z\u00fcyorum 50 b) 3\u00b7(a + 4) c) 4x\u00b7(4x \u2013 1) 2. a) x + 3 b) 2a \u2013 5 c) 9m2 1. a) 2\u00b7(4x + 5) e) 10x\u00b7(2xy + 1) \u00e7) 48ab d) 25 f) 9a + 10b \u011f) a\u00b7(a2 + a + 1) \u00e7) 6a\u00b7(a + 4) d) x\u00b7(x + 7) i) \u2013mn\u00b7(6m + n + 1) 3. a) 12x \u2013 20 b) 32a \u2013 12b c) 28 \u2013 40m2 d) 48mn \u2013 4r f) 3a2\u00b7(3a \u2013 2) h) 5x\u00b7(3x + 1 + 2x2) g) 4ab\u00b7(3b + 2) \u0131) 4a\u00b7(3a \u2013 b \u20132b2) 2. a) 3 b) 2m c) 6a \u00e7) 2xy d) a2\/1\/a e) x 4. a) 6 b) 4 c) 16 \u00e7) 4a2 d) 1 e) 10 3. a) x\u00b7(x + 3) b) 2x\u00b7(x + 1) 5. a) 4\u00b7(a + b)\u00b7(a + b) b) 8\u00b7(x \u2013 1)\u00b7 (x \u2013 1) c) 3\u00b7(2x + 1) d) 2\u00b7(x2 + 2x + 4) c) a\u00b7(a + 6)\u00b7(a \u2013 6) \u00e7) 5\u00b7(3x + 4y)\u00b7 (3x \u2013 4y) d) 2x\u00b7(x + 8y)\u00b7 (x + 8y) e) 3\u00b7(1 + 7a)\u00b7(1 \u2013 7a) 4. a) 2x b) 9 + 2a c) 6a \u20131 + 3b \u00e7) x + 4 f) 20\u00b7(x + 3y)\u00b7(x \u2013 3y) g) 3m\u00b7(7m + n)\u00b7(7m \u2013 n) \u00c7\u00f6z\u00fcyorum 51 b) (a + 5)\u00b7(a \u2013 5) 6. a) 2a2-8ab+8b2 b) 256m4-81 1. a) (x + 3)\u00b7(x \u2013 3) \u00e7) (1 + 7b)\u00b7(1 \u2013 7b) c) (6 + x)\u00b7(6 \u2013 x) d) (3x + 10y)\u00b7(3x \u2013 10y) e) (8a + 6b)\u00b7(8a \u2013 6b) 2 a2-4ab+4b2 16m2+9 16m2\u20139 4m+3 4m\u20133 f) (9a + 12b)\u00b7(9a \u2013 12b) g) (12 + 5x)\u00b7(12 \u2013 5x) \u011f) (2m + 13n)\u00b7(2m \u2013 13n) h) cx 1 m\u00b7cx 1 m a\u20132b a\u20132b 2 2 + - 22 i) (10x + 8)\u00b7(10x \u2013 8) c) \u0131) c 5 + 40m\u00b7c 5 - 4am k) (5ab + 15cd)\u00b7(5ab \u2013 15cd) 3x3+18x2+27x j) (m2 + n2)\u00b7(m \u2013 n)\u00b7(m + n) l) (9 x2y2 \u2013 4ab)\u00b7(9x2y2 \u2013 4ab) 3x x2+6x+9 3x 2. a) a2 \u2013 32 = (a + 3)\u00b7(a \u2013 3) 7. 10 000 8. 900 x+3 x+3 b) 52 \u2013 (2x)2 = (5 + 2x)\u00b7(5 \u2013 2x) c) (10a)2 \u2013 52 = (10a + 5)\u00b7(10a \u2013 5) 9. 13 10. 15 11. 11 \u00e7) 36x2 \u2013 49y2 = (6x + 7y)\u00b7(6x \u2013 7y) 8. S\u0131n\u0131f 397","Cevaplar \u00c7\u00f6z\u00fcyorum 54 4. x y 5. 2. b\u00f6lge 6. L(\u20134,2) M(5,3) N(1,0) P(4,\u20132) 1. b) \u20133 c) - 7 \u00e7) 9 d) 3 e) 19 a) 4 3 a) 5 2 b) 3 1 c) 5 2 8. 24 \u00e7) 0 4 7. 9 \u00c7\u00f6z\u00fcyorum 55 d) 6 0 1. a) \u20134 b) 3 c) 2 \u00e7) 3 d) 5 e) \u20134, 1 e) 2 5 c) 6 \u00e7) 20 d) 72 e) 2 2. a) 18 b) \u201316 \u011f) \u201320 h) 17 \u0131) 45 i) \u201311 o) 0 f) 2 g) 4 l) 13 9 n) 2 t) 10 j) 27 k) 8 m) 11 3 q) 0 \u00f6) 1 p) 4 5 s) - 1 \u015f) - 2 u) 10 r) 6 24 v) 1 2 \u00c7\u00f6z\u00fcyorum 57 1 z) - 3 \u00fc) 2 y) 2 1. a) \ufffd b) \ufffd c) \ufffd \u00e7) \ufffd d) \ufffd 3. a) 2\u00b7(x \u2013 3) = x b) x + (x + 3) = 27 2. Denklem: 4x = y 3. Denklem: y = 25 + 5x \u00e7) R c) 50 \u2013 (x + x + 2) = x Ba\u011f\u0131ml\u0131 De\u011fi\u015fken: y(para) Ba\u011f\u0131ml\u0131 De\u011fi\u015fken: y(boy) x 1 e) x + 2 = 36 Ba\u011f\u0131ml\u0131 De\u011fi\u015fken: x(ekmek say\u0131s\u0131) Ba\u011f\u0131ml\u0131 De\u011fi\u015fken: x(zaman) d) 3 \u00b7(x + 9) = \u20135 xx 4. a) y = 3000 \u2013 200x b) 1800 c) 12 g) 4 - 5 = 10 x 5. a \u201318 6 12 30 48 f) 2 = 20 b \u20133 1 258 4. a) 30 b) 52 c) 24 \u00e7) 20 d) 18 e) 200 f) 4 g) 15 \u011f) 40 h) 180 \u0131) 15 i) 17 j) 80 \u00c7\u00f6z\u00fcyorum 56 \u00c7\u00f6z\u00fcyorum 58 1. 12 3 4567 8 1. y 2. 10 5 A Hale y=5 Elif B \u0130nan G\u00f6khan C Fulya I\u015f\u0131l x 3 2. a) 2 b) 1 -1 O c) 4 \u00e7) y ekseni \u00fczerinde d) 3 h) 1 e) 2 f) x ekseni \u00fczerinde g) 3 \u011f) y ekseni \u00fczerinde x=-1 x=3 3. H 6 y 3. x+4=0 y F5 4 4 3 2y=6 x 3 A 1 B2 D 1 1 1 23456 -6 -5 -4 -3 -2 -1 O x -4 -3 -2 -1 O -1 -2 I G -3 C -4 -5 E \u20136 398 8. S\u0131n\u0131f","Cevaplar \u00c7\u00f6z\u00fcyorum 59 2. d) y e) y y+5=2x 1. a) b) c) \ufffd \u00e7) d) e) f) \ufffd g) \ufffd 2 x x b) y O1 2. a) y O5 y=x 2 Ox x \u20135 O y=\u20132x f) y c) y \u00e7) y 4 2x\u20133y=0 x+3y=0 x Ox Ox 3 O 3. (1,2) y 4. d) y e) y x=2 y=2x 4 (2,4) x 3 x 2 O 4 1 y= -1 O 1 2 3 4 5 x -1 x O -2 5. 5 6. 6 \u00c7\u00f6z\u00fcyorum 60 7. 25 4 1. a) \ufffd b) c) \u00e7) \ufffd d) \ufffd e) \ufffd f) g) 8. 36 a) y b) y y=2x\u20134 y=x\u20133 x \u00c7\u00f6z\u00fcyorum 61 Ox O2 1. a) \ufffd b) \ufffd c) \ufffd 2. 2 3. \u20136 x \u20132y = \u20131 5. \u20133 4. x = 3\u2013y 2x + y = 4 \ufffd -4 (1,2) \ufffd y (2,3) c) y \u00e7) (3,4) 3 x 2 x \u00c7\u00f6z\u00fcyorum 62 O O3 -3 1. a) b) \ufffd c) d) \ufffd e) \ufffd f) g) \ufffd h) d) e) 8. S\u0131n\u0131f 399"]