8. Sınıf Matematik Soru Bankası

["TEST - 14 Pisagor Ba\u011f\u0131nt\u0131s\u0131 7.\t 9.\t Birim karelerden olu\u015fan ve her birim karenin alan\u0131n\u0131n 12 m 1 km2 oldu\u011fu bir harita \u00fczerinde K, L, M, N konum- lar\u0131 verilmi\u015ftir. L 20 m M K N 7m \t Selami 12 m y\u00fcksekteki duvar\u0131n \u00fczerinden 20 m\u2019lik \tO ipin ucundaki kovay\u0131 \u00e7ekiyor. \t O noktas\u0131nda bulunan bir multikopterin 6 km u\u00e7mas\u0131- \t Kovay\u0131 7 m s\u00fcr\u00fckledi\u011finde ipi ka\u00e7 m \u00e7ekmi\u015f olur? na yetecek kadar \u015farj\u0131 bulunmaktad\u0131r. A)\t 3\t B)\t4\t C)\t5\t D)\t6 \t Bu multikopterin ula\u015fabilece\u011fi en uzak konum a\u015fa\u011f\u0131dakilerden hangisidir? A)\t K\t B)\tL\t C)\tM\t D)\tN 8.\t A\u015fa\u011f\u0131daki \u015fekilde verilen sand\u0131k, makara yard\u0131m\u0131 ile yukar\u0131ya \u00e7\u0131kar\u0131lmak isteniyor. \u015eekildeki gibi, makara \u00fczerindeki hari\u00e7 18 m\u2019lik ip sand\u0131\u011fa ve bir araban\u0131n arkas\u0131na ba\u011flan\u0131yor. \t 9m 9m 10.\t 24 m 12 m 25 m \t Araba 12 m ileriye do\u011fru hareket etti\u011finde, sand\u0131k \t Selim\u2019in 25 m\u2019lik ipe ba\u011fl\u0131 olan yerdeki u\u00e7urtmas\u0131, ka\u00e7 m yukar\u0131ya \u00e7\u0131kar? r\u00fczgar esti\u011finde 24 m y\u00fcksekli\u011fe \u00e7\u0131kt\u0131\u011f\u0131na g\u00f6re, u\u00e7urtma ilk duruma g\u00f6re ka\u00e7 m yer de\u011fi\u015ftirmi\u015ftir? A)\t 3\t B)\t4\t C)\t5\t D)\t6 A)\t 15\t B)\t20\t C)\t25\t D)\t30 8. S\u0131n\u0131f 250","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 15 1.\t 140 metre uzunlu\u011fundaki bir k\u00f6pr\u00fcn\u00fcn birinci par\u00e7as\u0131n\u0131n uzunlu\u011fu 60 m olacak \u015fekilde iki par\u00e7aya ayr\u0131larak \u015eekil 2\u2019deki gibi a\u00e7\u0131l\u0131yor. K\u00f6pr\u00fcn\u00fcn ikinci par\u00e7as\u0131n\u0131n u\u00e7 k\u0131sm\u0131 birinci par\u00e7as\u0131n\u0131n u\u00e7 k\u0131sm\u0131ndan 12 metre daha yuka- r\u0131ya kald\u0131r\u0131larak 48 m y\u00fckseklikte durduruluyor. \t 140 metre48 metre \u015eekil 1 ? \u015eekil 2 \t Buna g\u00f6re, k\u00f6pr\u00fc a\u00e7\u0131k iken iki par\u00e7a aras\u0131nda kalan yatay mesafe ka\u00e7 metredir? A)\t 16\t B)\t20\t C)\t24\t D)\t28 2.\t Ahmet kat\u0131ld\u0131\u011f\u0131 bir yar\u0131\u015fman\u0131n parkurunda \u015eekil 1\u2019de g\u00f6sterildi\u011fi gibi iki platform aras\u0131nda yere paralel halde haz\u0131r- lanm\u0131\u015f, uzunlu\u011fu 4 metre olan ipin \u00fczerinde y\u00fcr\u00fcmeye ba\u015flam\u0131\u015ft\u0131r. \t Ahmet, y\u00fcr\u00fcyece\u011fi mesafenin orta noktas\u0131na geldi\u011finde yere dik durarak ba\u015f\u0131n\u0131n ipin platforma ba\u011fl\u0131 noktas\u0131yla ayn\u0131 hizaya geldi\u011fini g\u00f6rm\u00fc\u015ft\u00fcr. Ahmet \t \u015eekil 1 \u015eekil 2 \t Ahmet platformun ortas\u0131na geldi\u011finde ip toplam 100 cm esnedi\u011fine g\u00f6re, Ahmet\u2019in boyu ka\u00e7 santimetre- dir? A)\t 120\t B)\t130\t C)\t140\t D)\t150 251 8. S\u0131n\u0131f","TEST - 15 Pisagor Ba\u011f\u0131nt\u0131s\u0131 3.\t Dik \u00fc\u00e7genlerde 90\u00b0 lik a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131ndaki kenara hipoten\u00fcs denir. Dik \u00fc\u00e7gende dik kenarlar\u0131n uzunluklar\u0131n\u0131n kare- leri toplam\u0131, hipoten\u00fcs\u00fcn uzunlu\u011funun karesine e\u015fittir. \t \t Bir halk otob\u00fcs\u00fcndeki engelli rampas\u0131n\u0131n uzunlu\u011fu 60 cm, kald\u0131r\u0131m\u0131n yerden y\u00fcksekli\u011fi 24 cm\u2019dir. \t Engelli rampas\u0131n\u0131n otob\u00fcse ba\u011fl\u0131 oldu\u011fu noktan\u0131n yerden y\u00fcksekli\u011fi de 60 cm\u2019dir. \t Buna g\u00f6re \u015fof\u00f6rler duraklara en az ka\u00e7 santimetre yakla\u015fmal\u0131d\u0131r? A)\t 36\t B)\t42\t C)\t48\t D)\t54 4.\t B 9 km 5.\t A\u015fa\u011f\u0131daki \u015fekilde, u\u00e7 noktalar\u0131 A ve E olan bir su bit- A kisinin durgun [CA] ve r\u00fczgarl\u0131 havadaki [DE] konumu g\u00f6sterilmi\u015ftir. A E 9 br B D Su y\u00fczeyi 13 km 5 br 2 br K 14 km L \t K noktas\u0131ndaki kontrol kulesinde bulunan bir g\u00f6revli x yere paralel u\u00e7an bir u\u00e7a\u011f\u0131n A noktas\u0131ndan B nokta- s\u0131na kadar 9 km\u2019lik hareketini radarla izliyor. Sulak alan\u0131n dibi \t Buna g\u00f6re radar\u0131n tarad\u0131\u011f\u0131 AKB \u00fc\u00e7geninin alan\u0131 \tC ka\u00e7 km2\u2019dir? \t oldu\u011funa g\u00f6re x ka\u00e7 br\u2019dir? A)\t 30\t B)\t54\t C)\t60\t D)\t108 A)\t 12\t B)\t15\t C)\t16\t D)\t20 8. S\u0131n\u0131f 252","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 16 1.\t Bir duvara, yerden y\u00fckseklikleri ayn\u0131 olacak \u015fekilde 10 cm arayla be\u015f ask\u0131 yerle\u015ftirilmi\u015ftir. Elif, uzun kenar\u0131 20 cm olan ve uzun kenar\u0131n\u0131n u\u00e7 noktalar\u0131n\u0131 birle\u015ftiren birer kol ask\u0131s\u0131na sahip dikd\u00f6rtgen bi\u00e7imindeki \u00f6zde\u015f iki \u00e7antas\u0131n\u0131 bu ask\u0131lara \u015fekildeki gibi as\u0131yor. 10 cm 20 cm 78 cm 70 cm \t \t Bu durumda Elif, \u00e7antalar\u0131n\u0131n yerden y\u00fcksekliklerini 70 cm ve 78 cm olarak \u00f6l\u00e7\u00fcyor. \t Buna g\u00f6re, \u00e7antalardan birinin kol ask\u0131s\u0131n\u0131n uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 60\t B)\t52\t C)\t50\t D)\t48 2.\t A\u015fa\u011f\u0131da bir merdivenin bir duvar ve zeminde farkl\u0131 iki 3.\t ABCD karesi 4 e\u015f dikd\u00f6rtgen ve boyal\u0131 bir kare par- konumu verilmi\u015ftir. \u00e7adan olu\u015fmaktad\u0131r. D GC H 200 cm F x \t 150 cm 240 cm AE B \t Buna g\u00f6re, x uzunlu\u011fu ka\u00e7 cm\u2019dir? \t \t A(ABCD) = 64 cm2 ve boyal\u0131 b\u00f6lgenin alan\u0131 16 cm2 A)\t 50\t B)\t60\t C)\t70\t D)\t80 oldu\u011funa g\u00f6re, |EC| ka\u00e7 santimetredir? A)\t 4 3 \t B)\t 4 5 \t C)\t10\t D)\t12 253 8. S\u0131n\u0131f","TEST - 16 Pisagor Ba\u011f\u0131nt\u0131s\u0131 4.\t Bir yolcu gemisiyle (Y) sahil g\u00fcvenlik botunun (S) konumlar\u0131 dik kordinat d\u00fczleminde a\u015fa\u011f\u0131daki gibidir. y (birim) 8 Y(1,8) 7 Deniz 6 5 4 S(4,4) 3 2 1 K\u0131y\u0131 \u015feridi 0 123 45678 x (birim) \t \t Gemiden gelen acil yard\u0131m \u00e7a\u011fr\u0131s\u0131 \u00fczerine sahil g\u00fcvenlik botu geminin bulundu\u011fu noktaya en k\u0131sa yoldan saatte 80 km h\u0131zla 15 dakikada ula\u015f\u0131yor. \t Bu bilgilere g\u00f6re geminin k\u0131y\u0131ya olan uzakl\u0131\u011f\u0131 ka\u00e7 kilometredir? A)\t 24\t B)\t32\t C)\t40\t D)\t48 5.\t D C 6.\t \u00d6n y\u00fcz\u00fc pembe, arka y\u00fcz\u00fc mavi olan dikd\u00f6rtgen \u015fek- 15 cm lindeki bir ka\u011f\u0131t, bir k\u00f6\u015fesi uzun kenar\u0131na gelecek \u015fe- A kilde katlan\u0131yor. D GC B \t K\u0131sa kenar\u0131 15 cm olan dikd\u00f6rtgen bi\u00e7imindeki karton E B k\u00f6\u015fesi D k\u00f6\u015fesi \u00fczerine gelecek bi\u00e7imde a\u015fa\u011f\u0131daki A 12 cm F gibi katlan\u0131yor. C \t B D FC \t Bu ka\u011f\u0131d\u0131n k\u0131sa kenar\u0131 24 cm oldu\u011funa g\u00f6re, AE uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 6\t B)\t7\t C)\t8\t D)\t9 \t AE B \t Katlama sonucu olu\u015fan DAE \u00fc\u00e7geninin alan\u0131 60 cm2 oldu\u011funa g\u00f6re, kartonun ilk halinin \u00e7evresi ka\u00e7 cm\u2019dir? A)\t 60\t B)\t80\t C)\t100\t D)\t120 8. S\u0131n\u0131f 254","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 17 1.\t Dik \u00fc\u00e7genlerde 90\u00b0 lik a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131ndaki kenara hi- 3.\t Simge\u2019nin babas\u0131 verandaya merdiven yapacakt\u0131r. poten\u00fcs denir. Dik \u00fc\u00e7gende dik kenarlar\u0131n uzunluk- Belediye in\u015faat \u015fartnamesine g\u00f6re her basama\u011f\u0131n lar\u0131n\u0131n kareleri toplam\u0131, hipoten\u00fcs\u00fcn uzunlu\u011funun y\u00fcksekli\u011fi 30 cm, derinli\u011fi 40 cm olmal\u0131d\u0131r. A\u015fa\u011f\u0131daki karesine e\u015fittir. \u015fekil bu durumu modellemektedir. \t A\u015fa\u011f\u0131da g\u00f6sterilen Dengere ve Harmanl\u0131 k\u00f6ylerinin C merkezleri s\u0131ras\u0131yla K ve L noktalar\u0131d\u0131r. Dengere K 4,8 m k\u00f6y\u00fc 40 cm L Harmanl\u0131 k\u00f6y\u00fc 30 cm AB \tA xB \t \t Verandan\u0131n y\u00fcksekli\u011fi 4,8 metre oldu\u011funa g\u00f6re, \t D\u00fcz bir otoyoldaki A ile B noktar\u0131na uzakl\u0131klar\u0131 s\u0131ras\u0131y- ilk basama\u011f\u0131n duvara uzakl\u0131\u011f\u0131 ka\u00e7 metredir? la 33 km ve 12 km olan bu k\u00f6ylerin merkezleri aras\u0131na yol yap\u0131lacakt\u0131r. A)\t 5,6\t B)\t6,4\t C)\t 7,2\t D)\t8 \t |AB| = 72 km oldu\u011funa g\u00f6re yap\u0131lacak yolun uzun- lu\u011fu en k\u0131sa ka\u00e7 kilometredir? A)\t 50\t B)\t75\t C)\t96\t D)\t117 2.\t K\u0131van\u00e7, Ceylin ve Kuzey dal\u0131\u015f yapmaktad\u0131r. A\u015fa\u011f\u0131da- ki \u015fekil bu \u00fc\u00e7 arkada\u015f\u0131n belli bir andaki konumlar\u0131n\u0131 modellemektedir. Bu konumlarla ilgili olarak a\u015fa\u011f\u0131da- ki bilgiler veriliyor. 45 m 36 m 4.\t Kare \u015feklindeki ye\u015fil ve mavi k\u00e2\u011f\u0131tlar\u0131n, birer k\u00f6\u015fele- Ceylin ri ve birer kenarlar\u0131 \u015eekil - 1\u2019deki gibi \u00e7ak\u0131\u015ft\u0131r\u0131lm\u0131\u015ft\u0131r. Yukar\u0131 A\u015fa\u011f\u0131 K\u0131van\u00e7 Kuzey 4 cm B A \t 22 cm \u015eekil - 2 \u2022\tK\u0131van\u00e7 ve Kuzey 45 m a\u015fa\u011f\u0131ya dalm\u0131\u015ft\u0131r. \t \u015eekil - 1 \u2022\tK\u0131van\u00e7 ile Kuzey aras\u0131ndaki uzakl\u0131k 24 m\u2019dir. \u2022\t36 m a\u015fa\u011f\u0131ya dalan Ceylin\u2019in; K\u0131van\u00e7 ile Kuzey\u2019e \t K\u00e2\u011f\u0131tlar \u015eekil - 1\u2019deki konumundayken ye\u015fil k\u00e2\u011f\u0131t sa- olan uzakl\u0131\u011f\u0131 e\u015fittir. bit kalmak \u00fczere mavi k\u00e2\u011f\u0131t yukar\u0131 do\u011fru 4 cm hareket ettirildi\u011finde ye\u015fil k\u00e2\u011f\u0131d\u0131n bir k\u00f6\u015fesi, mavi k\u00e2\u011f\u0131d\u0131n ke- \t Buna g\u00f6re, Ceylin ile Kuzey aras\u0131ndaki uzakl\u0131k ka\u00e7 nar\u0131n\u0131n orta noktas\u0131 ile \u015eekil - 2\u2019deki gibi \u00e7ak\u0131\u015fm\u0131\u015ft\u0131r. metredir? \t Buna g\u00f6re \u015eekil - 2\u2019deki iki k\u00f6\u015feyi birle\u015ftiren AB do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fu ka\u00e7 santimetredir? A)\t 10\t B)\t15\t C)\t20\t D)\t25 A)\t 18\t B)\t16\t C)\t 6\u00e613\t D)\t4\u00e610 255 8. S\u0131n\u0131f","TEST - 17 Pisagor Ba\u011f\u0131nt\u0131s\u0131 5.\t A\u015fa\u011f\u0131da boyutlar\u0131 8 cm ve 32 cm olarak verilen dikd\u00f6rtgen \u015feklindeki bir k\u00e2\u011f\u0131t, \u015eekil 1\u2019deki i\u015faretli yerlerden kesilip \u015eekil 2\u2019deki gibi ayr\u0131larak \u015eekil 3\u2019deki gibi birle\u015ftiriliyor. 32 cm 6 cm 6 cm 20 cm 8 cm 8 cm \t \u015eekil 1 \u015eekil 2 \u015eekil 3 D) 84 \t Buna g\u00f6re \u015eekil 3\u2019\u00fcn \u00e7evre uzunlu\u011fu ka\u00e7 cm\u2019dir? A) 78\t B) 80\t C) 82\t 6.\t \u015eekil - 1\u2019de \u00f6nden g\u00f6r\u00fcn\u00fcm\u00fc verilen dikd\u00f6rtgen \u015fek- 7.\t \u015eekil - 1\u2019de verilen 10 br uzunlu\u011fundaki zemine dik lindeki \u00e7antan\u0131n gergin ipinin bir ucu B di\u011fer ucu C ayd\u0131nlatma dire\u011fi, tam ortas\u0131ndan k\u0131r\u0131larak 4 br uza- noktas\u0131nda iken A noktas\u0131n\u0131n \u00e7antaya en k\u0131sa uzakl\u0131\u011f\u0131 \u011f\u0131nda bulunan zemine dik konumlu duvar\u0131n \u00fcst k\u00f6\u015fe- 15 birimdir. Ayn\u0131 ip C noktas\u0131ndan D noktas\u0131na kadar sine \u015eekil - 2\u2019deki gibi temas ediyor. \u00e7ekildi\u011finde A\u0131 noktas\u0131n\u0131n \u00e7antaya en k\u0131sa uzakl\u0131\u011f\u0131 6 br oluyor. A A\u0131 x B 16 br CB 16 br C \t D 4 br \u015eekil - 2 \t Buna g\u00f6re ip ka\u00e7 birim \u00e7ekilmi\u015ftir? \t \u015eekil - 1 \t Buna g\u00f6re duvar\u0131n y\u00fcksekli\u011fi ka\u00e7 br\u2019dir? A)\t 8\t B)\t10\t C)\t12\t D)\t14 A)\t 5\t B)\t6\t C)\t7\t D)\t8 8. S\u0131n\u0131f 256","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 18 1.\t && 4.\t E 24 cm F ABC , DEF olmak \u00fczere kenar uzunluklar\u0131; y Lx M \t |AB| = 2x \u2013 1 28 cm \t |EF| = 3y \u2013 2 24 cm 21 cm \t |DE| = x + 3 \t |BC| = y + 10 veriliyor. \t Buna g\u00f6re, x + y ka\u00e7t\u0131r? K 27 cm N D 36 cm G A)\t 6\t B)\t8\t C)\t10\t D)\t12 \t \u015eekilde KLMN, DEFG d\u00f6rtgenleri benzer oldu\u011fu- na g\u00f6re x + y a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 40\t B)\t50\t C)\t60\t D)\t70 2.\t \u015eekildeki KLM ve DEF \u00fc\u00e7genleri aras\u0131ndaki ben- zerlik oran\u0131 ka\u00e7 olabilir? E 5.\t 6 cm K 16 cm 8 cm D M H 9 cm L G A B E \t L 12 cm M D 12 cm F CK F A)\t 3 \t B)\t 1 \t C)\t 3 \t D)\t 3 \t \u015eekilde verilen H, G, E, F noktalar\u0131ndan hangisi K 8 2 4 2 ve M noktalar\u0131 ile birle\u015ftirilirse ABCD d\u00f6rtgenine e\u015f bir d\u00f6rtgen elde edilebilir? A)\t H\t B)\tG\t C)\tE\t D)\tF 3.\t F 9 cm R R 4 cm A 6.\t E 12 cm R 3 cm R18 cm 27 cm N HP L K 24 cm MN \t \u015eekilde FRHN ve ALPR dikd\u00f6rtgenleri verilmi\u015ftir. \t \u015eekilde verilen \u00fc\u00e7genlere g\u00f6re; \t FRHN \u223c ALPR ise |FH| uzunlu\u011fu ka\u00e7 santimetre- \t & + & ise; |EN| + |NR| ka\u00e7t\u0131r? dir? KRM ERN A)\t 5\t B)\t12\t C)\t13\t D)\t15 A)\t 28\t B)\t30\t C)\t34\t D)\t42 257 8. S\u0131n\u0131f","TEST - 18 \u00c7okgenlerde E\u015flik ve Benzerlik 7.\t \t\t A 10.\t I.\tBenzer \u00fc\u00e7genlerin benzerlikleri oran\u0131 \u00e7evreleri 50\u00b0 oran\u0131na e\u015fittir. 70\u00b0 II.\tE\u015f \u00fc\u00e7genlerin benzerlikleri oran\u0131 1\u2019dir. B 8 cm C III.\tBenzer \u00fc\u00e7genlerin alanlar\u0131 oran\u0131 \u00e7evreleri oran\u0131- \t A\u015fa\u011f\u0131dakilerden hangisi yukar\u0131daki ABC \u00fc\u00e7geni- na e\u015fittir. ne e\u015ftir? IV.\tBenzer \u00fc\u00e7genler ayn\u0131 zamanda e\u015ftir. \t Yukar\u0131daki ifadelerden hangileri do\u011frudur? A)\t Yaln\u0131z I\t B)\t II, III C)\t I, II\t D)\t I, III , IV A) B) 50\u00b0 8 cm 8 cm 60\u00b0 8 cm 70\u00b0 60\u00b0 11.\t B ST C) PR D) A H 70\u00b0 70\u00b0 D CK G 60\u00b0 60\u00b0 \t 8 cm \t \u015eekilde verilen P, R, S, T noktalar\u0131ndan hangisi H ve G noktalar\u0131 ile birle\u015ftirilirse ABCD d\u00f6rtgenine benzer bir d\u00f6rtgen elde edilir? A)\t P\t B)\tR\t C)\tS\t D)\tT 8.\t K L B A 12 cm 12.\t\t\t D 15 cm C N 20 cm M A B \t \u015eekilde verilen ABCD dikd\u00f6rtgeni ile KLMN dik- C d\u00f6rtgeni benzer oldu\u011funa g\u00f6re |BC| uzunlu\u011fu D a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 9\t B)\t12\t C)\t16\t D)\t25 9.\t Alanlar\u0131 oran\u0131 16 olan benzer iki \u00fc\u00e7genin ben- \t Yukar\u0131da verilen \u00e7okgenlerden hangi ikisi benzer- 25 dir? zerlikleri oran\u0131 a\u015fa\u011f\u0131dakilerden hangisi olabilir? A)\t 25 \t B)\t 16 \t C)\t 4 \t D)\t 4 A)\t A ile D\t B)\t B ile C 16 25 5 9 C)\t A ile C\t D)\t B ile D 8. S\u0131n\u0131f 258","1.\t ABFE ve BCDA dikd\u00f6rtgen ve \u00c7okgenlerde E\u015flik ve Benzerlik TEST - 19 4.\t \t\t\t III II \t ABFE ~ BCDA\u2019d\u0131r. I IV \t\t \t A B EF DC \t Yukar\u0131da verilen \u015fekillerden hangisi di\u011ferlerinden hi\u00e7biri ile benzer de\u011fildir? \t |AB| = 3 cm, |BF| = 1 cm oldu\u011funa g\u00f6re A(FCDE) ka\u00e7 cm2\u2019dir? A)\t I\t B)\tII\t C)\tIII\t D)\tIV A)\t 18\t B)\t24\t C)\t27\t D)\t30 2.\t A\u015fa\u011f\u0131dakilerden hangisinde verilen A ve B dik- 5.\t \t DE F GH K d\u00f6rtgenleri benzerdir? A) 2 cm B) 1 cm AB3 cm 2 cm AB A LM 7 cm 6 cm C) 2 cm4 cm 5 cmD) 4 cm BC AB AB \t \u015eekildeki noktalardan ka\u00e7 tanesi DE do\u011fru par\u00e7a- s\u0131n\u0131n u\u00e7 noktalar\u0131 ile birle\u015ftirilirse, ABC \u00fc\u00e7genine \t 10 cm 10 cm benzer bir \u00fc\u00e7gen elde edilir? A)\t 2\t B)\t3\t C)\t4\t D)\t6 3.\t A\u015fa\u011f\u0131daki \u015fekilde verilen ABGH, BCDE ve GEDF dik- 6.\t \t\t\t DC d\u00f6rtgenleri benzerdir. H GF ED AB \t Kareli zeminde verilen ABCD dikd\u00f6rtgenine ben- zer olan dikd\u00f6rtgen a\u015fa\u011f\u0131dakilerden hangisidir? \t A 20 cm B 4 cm C A) B) C) D) \t |AB| = 20 cm ve |BC| = 4 cm oldu\u011funa g\u00f6re |HA| ka\u00e7 cm\u2019dir? A)\t 12\t B)\t10\t C)\t9\t D)\t8 \t 259 8. S\u0131n\u0131f","TEST - 19 \u00c7okgenlerde E\u015flik ve Benzerlik 7.\t A\u015fa\u011f\u0131dakilerden hangisinde i\u00e7 i\u00e7e verilmi\u015f \u015fekil- 10.\tA\u015fa\u011f\u0131daki \u015fekil benzer dikd\u00f6rtgenler ile olu\u015fturulmu\u015f- ler benzer de\u011fildir? tur. A) B) FE D 18 cm H C G 26 cm C) D) \t \t A 39 cm B \t Buan g\u00f6re HCDE dikd\u00f6rtgeni ile GHEF dikd\u00f6rtge- ninin benzerlik oran\u0131 ka\u00e7t\u0131r? A)\t 13 \t B)\t 3 \t C)\t 9 \t D)\t 3 6 2 13 4 8.\t 3 cm 5 cm 5 cm 8 cm 11.\t G 6 cm E F \t Yukar\u0131da verilen \u00e7okgenler e\u015f oldu\u011funa g\u00f6re \u015fek- A 12 cm lin \u00e7evresi ka\u00e7 cm\u2019dir? HD C A)\t 28\t B)\t32\t C)\t34\t D)\t36 9.\t 15 cm B \t Yukar\u0131daki \u015fekilde verilen \u00fc\u00e7genler e\u015ftir. \t |FE| = 6 cm, |BC| = 15 cm ve |AH| = 12 cm oldu\u011fu- na g\u00f6re \u015feklin \u00e7evre uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 62\t B)\t68\t C)\t74\t D)\t84 VI IV V II III I 12.\tBenzer iki \u00fc\u00e7genin benzerlik oran\u0131 3 oldu\u011funa 5 \t Yukar\u0131daki \u015fekil ile ilgili a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? g\u00f6re \u00e7evreleri oran\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A)\t I ile IV benzerdir.\t B)\t III ile IV benzerdir. A)\t 9 \t B)\t 3 \t C)\t 3 \t D)\t 5 C)\t II ile VI benzerdir.\t D)\t III ile V benzerdir. 25 8 5 8 8. S\u0131n\u0131f 260","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 20 1.\t A 6 cm E 4.\t A 4 cm b 4 cm E 10 cm 5 cm Da B 8 cm C B D 13 cm C && \t \u015eekilde verilenlere g\u00f6re |AE| ka\u00e7 cm\u2019dir? \t ABC , ADE oldu\u011funa g\u00f6re; \t a+b toplam\u0131 ka\u00e7 cm\u2019dir? A)\t 11\t B)\t12\t C)\t13\t D)\t14 A)\t 14\t B)\t12\t C)\t10\t D)\t8 2.\t A 5.\t K 3 cm 2 cm E 5 cm D 9 cmN O 3 cm4 cm B 15 cm C 9 cm y \t \u015eekilde [ED] \/\/ [BC]\u2019dir. Lx M \t Verilenlere g\u00f6re |AE| a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 5\t B)\t8\t C)\t9\t D)\t12 \t \u015eekildeki \u00fc\u00e7gende [NO] \/\/ [LM]\u2019dir. \t Buna g\u00f6re |LM| + |NL| ka\u00e7 cm\u2019dir? A)\t 18\t B)\t20\t C)\t22\t D)\t24 3.\t A 6.\t K 14 cm D 8 cm 6 cm E N O 4 cm5 cm B 14 cm C \t \u015eekilde m`A%DEj = m`A%CBj\u2019dir. LM \t Verilenlere g\u00f6re |AD| ka\u00e7 santimetredir? \t Yukar\u0131daki \u00fc\u00e7gende [NO] \/\/ [LM]\u2019dir. \t Buna g\u00f6re |LM| ka\u00e7 santimetredir? A)\t 6\t B)\t7\t C)\t8\t D)\t9 A)\t 8\t B)\t10\t C)\t15\t D)\t20 261 8. S\u0131n\u0131f","TEST - 20 \u00c7okgenlerde E\u015flik ve Benzerlik 7.\t H 10.\t A 3 cm B x4 cm x 4 cm E MP 24 cm x 9 cm y KN C 12 cm D \t \u015eekildeki \u00fc\u00e7gende [MP] \/\/ [KN] ise x a\u015fa\u011f\u0131dakiler- \t \u015eekildeki \u00fc\u00e7gende [AB] \/\/ [CD]\u2019dir. den hangisidir? \t Buna g\u00f6re x + y ka\u00e7 cm\u2019dir? A)\t 5\t B)\t6\t C)\t 6,5\t D)\t7 A)\t 18\t B)\t22\t C)\t26\t D)\t30 8.\t B, C, D ve A, C, E noktalar\u0131 do\u011frusald\u0131r. \t A 3 cm B 4 cm C 2 cm x D 15 cm E \t [AB] \/\/ [DE] ise |DC| = x ka\u00e7 cm\u2019dir? A)\t 10\t B)\t12\t C)\t14\t D)\t16 9.\t A 11.\t d1 d2 D D 6 cm E kA 8 cm 6 cm E B x 9 cm mC F BC \t \u015eekilde k \/\/ \uf06c \/\/ m ise; \t [DE] \/\/ [BC] ve [BE] a\u00e7\u0131ortayd\u0131r. \t |EF| ka\u00e7 cm\u2019dir? \t |AD| = 4 cm, |DE| = 6 cm oldu\u011funa g\u00f6re, A)\t 15\t B)\t12\t C)\t9\t D)\t6 \t |BC| ka\u00e7 santimetredir? A)\t 10\t B)\t12\t C)\t15\t D)\t18 8. S\u0131n\u0131f 262","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 21 1.\t Aa\u015f\u011f\u0131daki \u015fekilde \u00fcst basama\u011f\u0131 20 cm alt basama\u011f\u0131 4.\t A B 40 cm olan bir merdiven veriliyor. 20 cm 12 cm A x F B x C 40 cm D 6 cm E 3 cm C \t AB 3 \t ABCD dikd\u00f6rtgen ve [AC] k\u00f6\u015fegen ise; AC 5 \t = oldu\u011funa g\u00f6re, orta basamak ka\u00e7 cm \t |FC| = x ka\u00e7 cm\u2019dir? uzunlu\u011fundad\u0131r? A)\t 5\t B)\t4\t C)\t3\t D)\t2 A)\t 26\t B)\t30\t C)\t32\t D)\t36 2.\t A 5.\t A x D E D 6 cmE 3 cm y G F B 12 cm F 8 cm C BC \t [AB] \/\/ [EF] \/\/ [DC]\u2019dir. \t \u015eekilde [ED] \/\/ [FG] \/\/ [BC]\u2019dir. \t Verilenlere g\u00f6re x + y ka\u00e7 cm\u2019dir? \t |BF| = |FE|, |AD| = |DC| ve |FG| = 3 cm \t oldu\u011funa g\u00f6re |BC| ka\u00e7 cm\u2019dir? A)\t 13\t B)\t19\t C)\t21\t D)\t25 A)\t 3\t B)\t6\t C)\t9\t D)\t12 3.\t A 12 cm D 6.\t A 3 cm E EF 9 cm 6 cm 8 cm B 18 cm C B C 6 cm D \u015eekilde [AD] \/\/ [EF] \/\/ [BC]\u2019dir. \t m`A%BCj = m`A%CEj = m`C%DEj = 90\u00b0'dir. \t Verilenlere g\u00f6re |EF| ka\u00e7 cm\u2019dir? \t |AB| = 9 cm, |CD| = 6 cm ve |ED| = 8 cm oldu\u011funa g\u00f6re, |AC| ka\u00e7 cm\u2019dir? A)\t 13\t B)\t14\t C)\t15\t D)\t16 A)\t 10\t B)\t12\t C)\t15\t D)\t20 263 8. S\u0131n\u0131f","TEST - 21 \u00c7okgenlerde E\u015flik ve Benzerlik 7.\t A 10.\tKenarlar\u0131n\u0131n uzunluklar\u0131 4 cm ve 6 cm olan bir dik- F E d\u00f6rtgene benzer olacak \u015fekilde, kenar uzunluklar\u0131 santimetre cinsinden do\u011fal say\u0131 olan bir dikd\u00f6rtgen 2 cm D \u00e7izilecektir. G \t \u00c7izilecek bu dikd\u00f6rtgenin alan\u0131 54 cm2\u2019den b\u00fcy\u00fck olaca\u011f\u0131na g\u00f6re en az ka\u00e7 cm2\u2019dir? A)\t 72\t B)\t96\t C)\t108\t D)\t150 BC 11.\t \u015eekilde bir bilardo topunun sa\u011f alt deli\u011fe girene kadar \t |AE| = |ED|= |DC|, [FE] \/\/ [GD] \/\/ [BC]\u2019dir. \t |GD| = 2 cm ise |BC| ka\u00e7 cm\u2019dir? izledi\u011fi yol g\u00f6sterilmi\u015ftir. A)\t 12\t B)\t10\t C)\t8\t D)\t6 \tD F C 12 cm 8.\t C 3 cm D A 4 cm B A 3 cm E 9 cm B \t Buna g\u00f6re, top ka\u00e7 santimetre yol alm\u0131\u015ft\u0131r? \t \u015eekilde [DE] \/\/ [CB] ve ABC \u00fc\u00e7geninin \u00e7evre uzun- A)\t 40\t B)\t45\t C)\t50\t D)\t55 lu\u011fu 48 cm oldu\u011funa g\u00f6re, AED \u00fc\u00e7geninin \u00e7evre uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 12\t B)\t16\t C)\t24\t D)\t27 12.\t A B 9.\t B 12 cm C 26 cm 13 cm 12 cm 4 cm F C A DE \t \u015eekilde bir fenerin ayd\u0131nlatt\u0131\u011f\u0131 belirli bir alan veriliyor. \t ABCD kare ve BAE bir \u00fc\u00e7gendir. \t B noktas\u0131 [AC]\u2019nin orta noktas\u0131 oldu\u011funa g\u00f6re fe- \t Verilenlere g\u00f6re |DE| ka\u00e7 santimetredir? nerin \u0131\u015f\u0131\u011f\u0131n\u0131n d\u00fc\u015ft\u00fc\u011f\u00fc yer olan [AC] uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 4\t B)\t6\t C)\t8\t D)\t10 A)\t 20\t B)\t30\t C)\t36\t D)\t40 8. S\u0131n\u0131f 264","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 22 1.\t 80 m ve 180 m uzunlu\u011fundaki iki merdiven \u015fekil- 3.\t Duvardan 3 m geride duran Engin elindeki feneri yer- deki gibi birbirine paralel olacak \u015fekilde duvara yas- den 1 m y\u00fckseklikten duvara do\u011fru tutuyor. Duvardan lanm\u0131\u015ft\u0131r. 6 m arkada bulunan a\u011fac\u0131n en \u00fcstten itibaren 2 m\u2019lik k\u0131sm\u0131 ayd\u0131nlan\u0131yor. \t \t AB \t A noktas\u0131n\u0131n duvara olan uzakl\u0131\u011f\u0131 4 m oldu\u011funa 3m 6m g\u00f6re duvar\u0131n yerden y\u00fcksekli\u011fi ka\u00e7 metredir? A)\t 8\t B)\t12\t C)\t16\t D)\t20 \t A\u011fac\u0131n boyu 15 m oldu\u011funa g\u00f6re duvar\u0131n y\u00fcksek- li\u011fi ka\u00e7 metredir? A)\t 5\t B)\t6\t C)\t7\t D)\t8 2.\t Do\u011frusal bir yol \u00fczerinde, aralar\u0131ndaki uzakl\u0131k 16 m 4.\t \u015eekildeki a\u011fac\u0131n 4 m sa\u011f\u0131nda bir lamba 6 m solunda olan 8 m ve 12 m y\u00fcksekli\u011findeki iki lamba dire\u011fi ve ise bir duvar bulunmaktad\u0131r. bu direklerin aras\u0131nda bulunan 2 m y\u00fcksekli\u011findeki bir \u00e7ubuk \u015fekilde g\u00f6sterilmi\u015ftir. \t 3m 13 m 12 m 6m 4m \t Dire\u011fin duvar \u00fczerinde olu\u015fturdu\u011fu g\u00f6lgenin y\u00fcksekli\u011fi 3 m ve dire\u011fin boyu 13 m oldu\u011funa g\u00f6re a\u011fac\u0131n boyu ka\u00e7 m\u2019dir? 8m 2 A)\t 9\t B)\t12\t C)\t15\t D)\t18 \t 16 \t Direkler \u00fczerindeki lambalar\u0131n \u00e7ubu\u011fun her iki tara- f\u0131nda olu\u015fturdu\u011fu g\u00f6lgenin boylar\u0131 birbirine e\u015fittir. \t Buna g\u00f6re \u00e7ubu\u011fun 8 m uzunlu\u011fundaki lamba di- re\u011fine olan uzakl\u0131\u011f\u0131 ka\u00e7 metredir? A)\t 2\t B)\t4\t C)\t6\t D)\t10 265 8. S\u0131n\u0131f","TEST - 22 \u00c7okgenlerde E\u015flik ve Benzerlik 5.\t \u015eekildeki uzunluklar\u0131 40 cm ve 60 cm olan iki raf bir- 7.\t \u015eekilde bir rampan\u0131n yandan g\u00f6r\u00fcn\u00fcm\u00fc verilmi\u015ftir. birine paralel olacak \u015fekilde s\u0131ras\u0131yla K ve L noktala- \t r\u0131ndan duvara monte edilmi\u015ftir. R P \t M noktas\u0131ndan bu raflara paralel ve L ile M noktalar\u0131 S aras\u0131ndaki uzakl\u0131k, K ile L noktalar\u0131 aras\u0131ndaki uzak- T l\u0131\u011f\u0131n 2 kat\u0131 olacak \u015fekilde yeni bir raf monte edilmek YV isteniyor. \t K 20 L 30 M N NK Duvar \t KLVY, LMST, MNPR kare |KL| = 20 cm ve |LM| = 30 cm oldu\u011funa g\u00f6re MNPR karesinin bir PL kenar uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 45\t B)\t60\t C)\t75\t D)\t90 RM \t K, L, M ve N, P, R noktalar\u0131 do\u011frusal oldu\u011funa g\u00f6re yeni raf\u0131n uzunlu\u011fu ka\u00e7 cm olmal\u0131d\u0131r? A)\t 80\t B)\t100\t C)\t120\t D)\t140 8.\t \u00d6n y\u00fcz\u00fc mavi, arka y\u00fcz\u00fc pembe olan \u015fekildeki ABCD dikd\u00f6rtgen bi\u00e7imindeki ka\u011f\u0131t AC k\u00f6\u015fegeni boyunca D k\u00f6\u015fesinden katlan\u0131yor. \t\t B C 6.\t Sahnedeki oyuncu \u015fekildeki zeminde bulunan \u0131\u015f\u0131ktan A D B 3 cm E 3 m ve perdeden 2 m uzakta duruyor. 4 cm \t Perde C AD 3m 2m \t Buna g\u00f6re olu\u015fan AEC \u00fc\u00e7geninin alan\u0131 ka\u00e7 cm2\u2019dir? \t Oyuncunun boyu 1,8 m oldu\u011funa g\u00f6re oyuncunun perdeye yans\u0131yan g\u00f6r\u00fcnt\u00fcs\u00fc ka\u00e7 metre olur? A)\t 1,2\t B)\t2,7\t C)\t3\t D)\t3,25 A)\t 16\t B)\t24\t C)\t32\t D)\t48 8. S\u0131n\u0131f 266","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 23 1.\t 3.\t \u015eekilde A ve B noktalar\u0131nda lambalar ve C noktas\u0131n- da bir a\u011fa\u00e7 bulunmaktad\u0131r. \t A noktas\u0131nda bulunan lamba yand\u0131\u011f\u0131nda 3 metre bo- yundaki a\u011fac\u0131n sa\u011fdaki duvarda 4 m g\u00f6lgesi olu\u015f- maktad\u0131r. \t \t Boyu 150 cm olan Sarp, \u015fekildeki gibi su birikintisin- A CB den 200 cm uzunlu\u011fundaki a\u011faca bakmaktad\u0131r. \t Duvarlar ve a\u011fa\u00e7 zemine dik oldu\u011funa g\u00f6re B \t Sarp ile a\u011fa\u00e7 aras\u0131 uzakl\u0131k 700 cm oldu\u011funa g\u00f6re noktas\u0131nda bulunan lamba yand\u0131\u011f\u0131nda a\u011fac\u0131n a\u011fac\u0131n tamam\u0131n\u0131 g\u00f6rmesi i\u00e7in Sarp su birikintisin- soldaki duvarda olu\u015fan g\u00f6lge boyu ka\u00e7 metredir? den en az ka\u00e7 cm uzakta durmal\u0131d\u0131r? A)\t 200\t B)\t300\t C)\t400\t D)\t500 A)\t 8\t B)\t12\t C)\t16\t D)\t20 2.\t A\u015fa\u011f\u0131da alan\u0131n\u0131n %25\u2019i vesikal\u0131k foto\u011fraf i\u00e7in ayr\u0131lan 4.\t Boyu 1,6 m olan bir m\u00fchendis \u015fekildeki gibi piramidin s\u00fcr\u00fcc\u00fc belgesinin g\u00f6r\u00fcn\u00fcm\u00fc verilmi\u015ftir. y\u00fcksekli\u011fini hesaplamak istemektedir. \t Ad: yer Soyad: \t \t M\u00fchendisin g\u00f6lge uzunlu\u011fu 4 m oldu\u011fu bir anda piramidin y\u00fcksekli\u011finin g\u00f6lge uzunlu\u011fu 30 m ol- \t Boyutlar\u0131 6br x 9br olan bir vesikal\u0131k foto\u011fraf, kenar- du\u011funa g\u00f6re piramidin y\u00fcksekli\u011fi ka\u00e7 metredir? lar\u0131ndan e\u015fit oranda k\u00fc\u00e7\u00fclt\u00fclerek ilgili alan\u0131 tam ola- rak dolduracak \u015fekilde yap\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda bu foto\u011fraf\u0131n \u00e7evresi 10 birim olmaktad\u0131r. \t Buna g\u00f6re, s\u00fcr\u00fcc\u00fc belgesinin alan\u0131 ka\u00e7 birimka- redir? A)\t 36\t B)\t24\t C)\t18\t D)\t12 A)\t 9\t B)\t12\t C)\t15\t D)\t18 267 8. S\u0131n\u0131f","TEST - 23 \u00c7okgenlerde E\u015flik ve Benzerlik 5.\t 1. \u015fekilde bir binan\u0131n \u00e7at\u0131 aras\u0131 modellenmi\u015ftir. \u00c7at\u0131 aras\u0131n\u0131n tavan\u0131 [AB] do\u011fru par\u00e7as\u0131 ile g\u00f6sterilmi\u015ftir. \t E E 6m 8m B C D A 16 m \u015eekil I \u015eekil II \t Tavan [AB] \/\/ [CD] olacak bi\u00e7imde 2. \u015fekildeki gibi [CD] konumuna getirildi\u011finde |CD| uzunlu\u011fu ka\u00e7 metre olur? A)\t 6\t B)\t8\t C)\t9\t D)\t12 6.\t Bir denizde sahilden itibaren su derinli\u011fi \u015fekildeki gibi 7.\t \u00dc\u00e7gen \u015feklindeki tarlada [AE] ve [BD] boyunca e\u015fit dik \u00fc\u00e7gen olu\u015fturacak bi\u00e7imde do\u011frusal olarak art- uzunlukta tahta \u00e7itler yerle\u015ftirilecektir. maktad\u0131r. A \t 100 m A D C E 9m B \tB D 16 m C \t ED \/\/ AC, |BE| = 9 metre, |DC| = 16 metredir. \t D noktas\u0131na uzakl\u0131\u011f\u0131 100 m olan A noktas\u0131ndaki de- \t Buna g\u00f6re, tahta \u00e7itlerin toplam uzunlu\u011fu ka\u00e7 rinlik 40 m olarak \u00f6l\u00e7\u00fclmektedir. metredir? \t Buna g\u00f6re A noktas\u0131ndan 80 m ilerideki C nokta- A)\t 12\t B)\t18\t C)\t24\t D)\t30 s\u0131ndaki derinlik ka\u00e7 metredir?\t A)\t 8\t B)\t10\t C)\t12\t D)\t15 8. S\u0131n\u0131f 268","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 24 1. ve 2. Sorular\u0131 A\u015fa\u011f\u0131daki Bilgilere G\u00f6re 3.\t A\u015fa\u011f\u0131daki g\u00f6rselde yelkenleri e\u015f \u00fc\u00e7genler olan bir Cevaplay\u0131n\u0131z. gemi modeli verilmi\u015ftir. 20 m 12 m 2 m 2m \t \t Bir reklam firmas\u0131 boyutlar\u0131 20 cm x 30 cm olan dik- \t Bu modelde geminin boyu, tabana dik olarak yerle\u015f- d\u00f6rtgen \u015feklindeki bir afi\u015fi fotokopi makinesiyle farkl\u0131 tirilen dire\u011fin boyundan %30 fazlad\u0131r. boyutlarda \u00e7o\u011faltmaktad\u0131r. \t Yelkenler tabandan itibaren 2\u2019\u015fer metre ara ile di- re\u011fe ba\u011fland\u0131\u011f\u0131na g\u00f6re geminin boyu ka\u00e7 metre- dir? A)\t 20\t B)\t22\t C)\t24\t D)\t26 \u2022\tBu \u00e7o\u011faltmada afi\u015fin kenarlar\u0131 aras\u0131nda bulunan 20 oran\u0131 korunmaktad\u0131r. 30 \u2022\tBu i\u015flem i\u00e7in fotokopi makinesinin b\u00fcy\u00fct\/k\u00fc\u00e7\u00fclt tu\u015fu kullan\u0131lmaktad\u0131r. \t \u00d6rne\u011fin bu tu\u015f %300 ayarlan\u0131rsa dikd\u00f6rtgen afi\u015fin her bir kenar\u0131 orijinal h\u00e2linin 3 kat\u0131, \u2022\t%50\u2019ye ayarlan\u0131rsa dikd\u00f6rtgen afi\u015fin her bir kenar\u0131 orijinal h\u00e2linin 1 kat\u0131 uzunlukta olmaktad\u0131r. 2 4.\t 1.\t Fotokopi makinesinin b\u00fcy\u00fct\/k\u00fc\u00e7\u00fclt tu\u015fu %20\u2019ye x cm 15 cm ayarlan\u0131rsa elde edilecek afi\u015fin alan\u0131 ka\u00e7 santi- metrekare olur? A)\t 24\t B)\t36\t C)\t48\t D)\t54 48 cm y cm 1. foto\u011fraf 2. foto\u011fraf 2.\t Alan\u0131 9600 cm2 olan bir afi\u015f elde etmek i\u00e7in foto- \t \u015eekildeki 1. foto\u011fraf %25 oran\u0131na k\u00fc\u00e7\u00fclt\u00fclerek 2. fo- to\u011fraf elde edilmi\u015ftir. kopi makinesinin b\u00fcy\u00fct\/k\u00fc\u00e7\u00fclt tu\u015fu % ka\u00e7a ayar- lanmal\u0131d\u0131r? \t Buna g\u00f6re, x + y toplam\u0131 a\u015fa\u011f\u0131dakilerden hangi- sidir? A)\t 100\t B)\t200\t C)\t300\t D)\t400 A)\t 63\t B)\t72\t C)\t78\t D)\t87 269 8. S\u0131n\u0131f","TEST - 24 \u00c7okgenlerde E\u015flik ve Benzerlik 5.\t A\u015fa\u011f\u0131da, dikd\u00f6rtgen bi\u00e7imindeki bir bilgisayar ekran\u0131n\u0131n ve bu ekranda g\u00f6sterilen \u00fc\u00e7 resmin kenar uzunluklar\u0131 ayn\u0131 birim cinsinden verilmi\u015ftir. 72 4 48 B2 4 6 10 A4 C \t \t Bu \u00fc\u00e7 resmin her biri kenarlar\u0131n\u0131n uzunluklar\u0131 oran\u0131 de\u011fi\u015ftirilmeden, \u00fc\u00e7\u00fcn\u00fcn k\u0131sa kenarlar\u0131 e\u015fit olacak bi\u00e7imde b\u00fc- y\u00fct\u00fcl\u00fcyor. Sonra, bu \u015fekiller yan yana, resimlerin tamam\u0131 g\u00f6r\u00fcnecek ve ekran\u0131n \u00fcst kenar\u0131n\u0131 tamamen kapatacak bi\u00e7imde \u015fekildeki gibi yerle\u015ftiriliyor. AB C \t \t Son durumda, bu resimlerin ekranda kaplad\u0131klar\u0131 toplam alan ka\u00e7 birimkaredir? A)\t 288\t B)\t496\t C)\t864\t D)\t960 6.\t 20 cm 7.\t 10 cm Levha I\u015f\u0131k Perde kayna\u011f\u0131 \t K\u0131sa kenar\u0131 10 cm, uzun kenar\u0131 20 cm olan dikd\u00f6rtgen \t Bir \u0131\u015f\u0131k kayna\u011f\u0131yla perde aras\u0131na 60 cm uzunlu\u011fun- bi\u00e7imindeki bir levha \u0131s\u0131t\u0131l\u0131yor. Is\u0131t\u0131ld\u0131ktan sonra levha- daki bir \u00e7ubuk, perdeye paralel olacak \u015fekilde yerle\u015f- n\u0131n her bir kenar\u0131 uzunlu\u011funun %20 artt\u0131\u011f\u0131 g\u00f6zlemle- tiriliyor. niyor. \t \u00c7ubu\u011fun perdeye olan uzakl\u0131\u011f\u0131, \u0131\u015f\u0131k kayna\u011f\u0131na olan \t Buna g\u00f6re, \u0131s\u0131t\u0131ld\u0131ktan sonra levhan\u0131n \u00e7evresinin uzakl\u0131\u011f\u0131n\u0131n 3 kat\u0131na e\u015fittir. \u0131s\u0131t\u0131lmadan \u00f6ncekine benzerlik oran\u0131 ka\u00e7t\u0131r? \t Buna g\u00f6re, \u00e7ubu\u011fun perdedeki g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fcn A)\t 6 \t B)\t 9 \t C)\t 11 \t D)\t 21 uzunlu\u011fu ka\u00e7 cm\u2019dir? 5 4 10 20 A)\t 120\t B)\t180\t C)\t240\t D)\t300 8. S\u0131n\u0131f 270","\u00c7okgenlerde E\u015flik ve Benzerlik TEST - 25 1.\t \u015eekilde bir tahterevalli modellenmi\u015ftir. K, O, M noktalar\u0131 do\u011frusal ve K noktas\u0131n\u0131n O noktas\u0131na olan uzakl\u0131\u011f\u0131 160 cm, O noktas\u0131n\u0131n M noktas\u0131na olan uzakl\u0131\u011f\u0131 140 cm ve O noktas\u0131n\u0131n zemine olan uzakl\u0131\u011f\u0131 40 cm\u2019dir. \u015eekildeki tahtere- vallide M noktas\u0131 zemine de\u011fmi\u015ftir. K 160 cm O 140 cm 40 cm M Zemin \t \t Buna g\u00f6re tahterevallinin K noktas\u0131 zemine de\u011fdi\u011fi anda M noktas\u0131n\u0131n zemine olan en k\u0131sa uzakl\u0131\u011f\u0131 ka\u00e7 santimetredir? A) 75\t B) 70\t C) 65\t D) 60 2.\t Aralar\u0131nda 90 cm mesafe bulunan kare \u015feklindeki iki tablo yere en uzak kenarlar\u0131 do\u011frusal olacak \u015fekilde duvara as\u0131lm\u0131\u015ft\u0131r. B\u00fcy\u00fck tablo yaln\u0131zca A ve B noktalar\u0131ndan \u00e7ivilenmi\u015f, ancak B noktas\u0131ndaki \u00e7ivi \u00e7\u0131km\u0131\u015ft\u0131r. AB \t \t Bu durumda tablo A noktas\u0131 etraf\u0131nda d\u00f6n\u00fcp di\u011fer tablo ile birer k\u00f6\u015feleri \u00e7ak\u0131\u015fm\u0131\u015ft\u0131r. A B' \t \t K\u00fc\u00e7\u00fck tablonun bir kenar uzunlu\u011fu 120 cm oldu\u011funa g\u00f6re, B k\u00f6\u015fesinin yer de\u011fi\u015fimi BBl ka\u00e7 santimetre- dir? A)\t 30\t B)\t 30 5 \t C)\t 30 10 \t D)\t 60 5 271 8. S\u0131n\u0131f","TEST - 25 \u00c7okgenlerde E\u015flik ve Benzerlik 3.\t K\u00e2\u011f\u0131t ebatlar\u0131 belirlenirken d\u00fcnya standard\u0131 kabul edilen Alman DIN Standard\u0131 kullan\u0131lmaktad\u0131r. Bu standartlara g\u00f6re A0, B0 ve C0 olmak \u00fczere 3 k\u00e2\u011f\u0131t \u00f6l\u00e7\u00fcs\u00fc bulunmakta, bu \u00f6l\u00e7\u00fclerdeki k\u00e2\u011f\u0131tlar katlanarak farkl\u0131 k\u00e2\u011f\u0131t ebatlar\u0131 olu\u015fmakta ve buna g\u00f6re k\u00e2\u011f\u0131d\u0131n ismi de\u011fi\u015fmektedir. \u00d6rne\u011fin A0 k\u00e2\u011f\u0131d\u0131n\u0131 ortadan ikiye katlad\u0131\u011f\u0131m\u0131zda yeni olu\u015fan k\u00e2\u011f\u0131t A1, A1 k\u00e2\u011f\u0131d\u0131n\u0131 ortadan ikiye katlad\u0131\u011f\u0131m\u0131zda yeni olu\u015fan k\u00e2\u011f\u0131t A2 olmakta ve a\u015fa\u011f\u0131da verilen \u015fekildeki gibi de- vam etmektedir. A1 A0 A3 A2 A5 A4 \t A5 \t Hakan \u00d6\u011fretmen mevcudu 45 olan s\u0131n\u0131f\u0131ndaki \u00f6\u011frencilerden 15\u2019ine A1 k\u00e2\u011f\u0131d\u0131, 10 tanesine A2 k\u00e2\u011f\u0131d\u0131, 20 tanesine A3 k\u00e2\u011f\u0131d\u0131 veriyor. \t Hakan \u00d6\u011fretmen\u2019in \u00f6\u011frencilerine verdi\u011fi k\u00e2\u011f\u0131tlar\u0131n toplam k\u00fctlesi 1 kilogram oldu\u011funa g\u00f6re 1 tane A0 k\u00e2- \u011f\u0131d\u0131n\u0131n k\u00fctlesi ka\u00e7 gramd\u0131r? A)\t 40\t B)\t60\t C)\t80\t D)\t100 4.\t E\u015fkenar \u00fc\u00e7gen \u015feklindeki d\u00f6rt karton, birer kenarlar\u0131 5.\t \u015eekilde birer kenarlar\u0131n\u0131n k\u00f6\u015fe noktalar\u0131 do\u011frusal ve ve birer k\u00f6\u015feleri \u00e7ak\u0131\u015ft\u0131r\u0131larak panonun y\u00fcz\u00fcnden ta\u015f- birbirine biti\u015fik \u00fc\u00e7 kare \u015feklinde parsel modellenmi\u015ftir. mayacak bi\u00e7imde a\u015fa\u011f\u0131daki gibi yerle\u015ftirilmi\u015ftir. Birer Kare parsellerin kenar uzunluklar\u0131, parsel numarala- kenarlar\u0131 ayn\u0131 do\u011fru par\u00e7as\u0131 \u00fczerinde ve birer k\u00f6\u015feleri r\u0131yla do\u011fru orant\u0131l\u0131d\u0131r. 1. parselin k\u00f6\u015fesinde bulunan ortak olan e\u015fkenar \u00fc\u00e7genlerin benzerlik oran\u0131 0,5\u2019tir. su kayna\u011f\u0131ndan 3. parselin k\u00f6\u015fesindeki muslu\u011fa en k\u0131sa yoldan su borusu d\u00f6\u015fenmi\u015ftir. 1.Parsel 2.Parsel 3.Parsel \t \t\t \t Bu \u00fc\u00e7genlerden birinin \u00e7evresinin uzunlu\u011fu 72 \t Bu i\u015f i\u00e7in 6 5 br su borusu kullan\u0131ld\u0131\u011f\u0131na g\u00f6re cm oldu\u011funa g\u00f6re \u00fc\u00e7genlerle elde edilen mavi 3. parselin alan\u0131 1. parselin alan\u0131ndan ka\u00e7 br2 faz- b\u00f6lgenin \u00e7evresi en az ka\u00e7 santimetredir? lad\u0131r? A)\t 93\t B)\t96\t C)\t99\t D)\t102 A) 12\t B) 20\t C) 32\t D) 40 8. S\u0131n\u0131f 272","6 \u00dcN\u0130TE D\u00d6N\u00dc\u015e\u00dcM GEOMETR\u0130S\u0130 VE GEOMETR\u0130K C\u0130S\u0130MLER 8. SINIF D\u00f6n\u00fc\u015f\u00fcm Geometrisi Geometrik Cisimler 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.","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 1 1.\t A(5, \u20134) noktas\u0131n\u0131n x ekseni boyunca 3 birim, y 4.\t A\u015fa\u011f\u0131daki noktalardan hangisinin y ekseni \u00fcze- ekseni boyunca 2 birim \u00f6telenmesi ile elde edi- rinde 3 birim a\u015fa\u011f\u0131ya, x ekseni \u00fczerinde 5 br sa\u011fa len noktan\u0131n koordinatlar\u0131 a\u015fa\u011f\u0131dakilerden han- \u00f6telenmesiyle (2,7) noktas\u0131 olu\u015fur? gisi olabilir? A)\t (7,4)\t B)\t(\u20131,12) A)\t (2,\u20131)\t B)\t(7,\u20132) C)\t (5,\u20131)\t D)\t(\u20133,10) C)\t (3,\u20136)\t D)\t(8,\u20132) 5.\t K(a,b) noktas\u0131n\u0131n 2 br sola, 5 birim yukar\u0131 \u00f6telenmi\u015f hali (3,2) noktas\u0131d\u0131r. \t Buna g\u00f6re a+b ifadesinin de\u011feri ka\u00e7t\u0131r? A)\t 2\t B)\t5\t C)\t7\t D)\t9 2.\t Koordinat d\u00fczleminde verilen A(\u20132,3) noktas\u0131n\u0131n x ekseni \u00fczerinde 7 br sa\u011fa, y ekseni \u00fczerinde 9 br yukar\u0131 \u00f6telenmesiyle olu\u015fan noktan\u0131n orijine olan uzakl\u0131\u011f\u0131 ka\u00e7 birimdir? A)\t 11\t B)\t13\t C)\t15\t D)\t17 6.\t \t\t 1 br 1 br y x O 3.\t L \t Koordinat sisteminde verilen \u015feklin x ekseni bo- yunca 4 birim sa\u011fa, y ekseni boyunca 2 br a\u015fa\u011f\u0131- K ya \u00f6telenmi\u015f halinin g\u00f6r\u00fcnt\u00fcs\u00fc a\u015fa\u011f\u0131dakilerden hangisidir? A) B) yy A x Ox O NM C) D) yy \t Kareli ka\u011f\u0131tta verilen hangi noktan\u0131n 4 birim sa\u011fa x x 3 birim a\u015fa\u011f\u0131ya \u00f6telenmi\u015f hali A noktas\u0131d\u0131r? O O A)\t K\t B)\tL\t C)\tM\t D)\tN \t 8. S\u0131n\u0131f 275","TEST - 1 y D\u00f6n\u00fc\u015f\u00fcm Geometrisi 7.\t 9.\t \t\t\t B \t Kareli zeminde verilen \u015feklin yans\u0131ma hareketleri x sonucunda elde edilen \u015fekil a\u015fa\u011f\u0131dakilerden han- gisi olabilir? O A A) B) \t Koordinat sisteminde verilen A \u015fekli x ve y eksenleri C) D) boyunca \u00f6telenerek B \u015fekli elde edilmi\u015ftir. \t Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yap\u0131lm\u0131\u015f ola- bilir? A)\t 4 birim sa\u011fa, 6 birim yukar\u0131 B)\t 6 birim sa\u011fa, 5 birim yukar\u0131 C)\t5 birim sola, 6 birim a\u015fa\u011f\u0131ya D)\t5 birim sa\u011fa, 5 birim yukar\u0131 \t 8.\t \t\t 10.\tA(2,\u20134) noktas\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 \t Yukar\u0131da verilen dijital saatin do\u011fruya g\u00f6re yan- a\u015fa\u011f\u0131dakilerden hangisidir? s\u0131mas\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) B) A)\t (\u20132,\u20134)\t B)\t(\u20132,4) C)\t (2,4)\t D)\t(4,2) C) D) \t 8. S\u0131n\u0131f 276","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 2 1.\t K\u00f6\u015fe koordinatlar\u0131 K(\u20131,2) L (2,\u20133), M (4, 5) olan 4.\t y KLM \u00fc\u00e7geninin y eksenine g\u00f6re yans\u0131mas\u0131 al\u0131na- x rak olu\u015fan \u00fc\u00e7genin k\u00f6\u015fe koordinatlar\u0131n\u0131n apsis- O leri toplam\u0131 ka\u00e7t\u0131r? A)\t \u20135\t B)\t\u20134\t C)\t4\t D)\t5 2.\t Koordinat d\u00fczleminde verilen A(2,2) noktas\u0131n\u0131n \t Yukar\u0131daki koordinat d\u00fczleminde verilen 9 raka- m\u0131n\u0131n \u00f6nce y eksenine g\u00f6re, sonra x eksenine y eksenine g\u00f6re yans\u0131mas\u0131 ile olu\u015fan nokta B, B g\u00f6re yans\u0131mas\u0131 al\u0131nmas\u0131yla olu\u015fan g\u00f6r\u00fcnt\u00fc a\u015fa- noktas\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 ile olu\u015fan \u011f\u0131dakilerden hangisidir? nokta C olmak \u00fczere; A, B, C noktalar\u0131n\u0131n birle\u015f- mesiyle olu\u015fan \u00fc\u00e7genin alan\u0131 ka\u00e7 br2\u2019dir? A) B) C) D) \t A)\t 6\t B)\t8\t C)\t12\t D)\t16 5.\t y 1 br AB 1 br 3.\t Hangi se\u00e7enekteki \u015fekil \u00f6telenerek aralar\u0131nda hi\u00e7 D KC x O bo\u015fluk kalmadan s\u00fcsleme yap\u0131labilir? N A) B) L M C) D) \t Koordinat d\u00fczleminde verilen ABCD karesi x ekse- \t nine paralel 6 br sa\u011fa y eksenine paralel 1 br yukar\u0131 \u00f6teleniyor. \t KLMN dikd\u00f6tgeni ise x eksenine g\u00f6re yans\u0131mas\u0131 al\u0131- n\u0131p x eksenine paralel sa\u011fa do\u011fru 6 br \u00f6teleniyor. \t ABCD karesi ile KLMN dikd\u00f6rtgeninin son durum- da kesi\u015fimleri olan b\u00f6lgenin alan\u0131 ka\u00e7 br2\u2019dir? A)\t 4,5\t B)\t6\t C)\t7,5\t D)\t9 277 8. S\u0131n\u0131f","TEST - 2 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 6.\t I.\t\u015eeklin g\u00f6r\u00fcn\u00fc\u015f\u00fc de\u011fi\u015fir. 9.\t y A II.\t\u015eeklin boyutu de\u011fi\u015fir. x III.\t\u015eeklin konumu de\u011fi\u015fir. B IV.\t\u015eeklin \u00f6telemesi ile kendisi e\u015ftir. C \t \u00d6teleme ile ilgili yukar\u0131daki ifadelerden ka\u00e7 tanesi kesinlikle do\u011frudur? A)\t 1\t B)\t2\t C)\t3\t D)\t4 & \t Koordinat sisteminde verilen ABC 5 br sa\u011fa 2 br a\u015fa- \u011f\u0131ya \u00f6telenerek A\u0131 B\u0131 C\u0131 \u00fc\u00e7geni elde ediliyor. \t A\u015fa\u011f\u0131dakilerden hangisi A\u0131 B\u0131 C\u0131 \u00fc\u00e7geninin k\u00f6\u015fe noktalar\u0131n\u0131n koordinatlar\u0131ndan biri de\u011fildir? A)\t (4, 1)\t B)\t(2, \u20131)\t C)\t (6, \u20133)\t D)\t(5, \u20132) 7.\t A(\u20133,5) noktas\u0131n\u0131n 5 birim sa\u011fa, 2 birim a\u015fa\u011f\u0131ya \u00f6te- lenmesiyle B noktas\u0131 elde ediliyor. B noktas\u0131 4 birim yukar\u0131 ve 3 birim sola \u00f6telenmesiyle C noktas\u0131 elde ediliyor. \t Buna g\u00f6re, C noktas\u0131n\u0131n koordinatlar\u0131 a\u015fa\u011f\u0131daki- lerden hangisidir? A)\t (\u20131,7)\t B)\t (\u20134, 0) C)\t (5, 11)\t D)\t (6, 0) 10.\t 1 br y 1 br 8.\t 1 br 1 br 1 x O 2 \t Yukar\u0131da verilen kareli ka\u011f\u0131tta 1. \u015fekil 3 birim sa\u011fa 2 \t Yukar\u0131da kartezyen koordinat d\u00fczleminde verilen \u015fek- birim a\u015fa\u011f\u0131, 2. \u015fekil 3 birim sola 2 birim yukar\u0131 \u00f6tele- lin y eksenine g\u00f6re yans\u0131mas\u0131 al\u0131n\u0131yor. niyor. \t Elde edilen g\u00f6r\u00fcnt\u00fcn\u00fcn 5 birim a\u015fa\u011f\u0131, 3 birim sola \t Buna g\u00f6re yeni olu\u015fan \u015fekilde 1. ve 2. \u015fekillerin \u00f6telenmesi sonucu koordinat d\u00fczleminin 4. b\u00f6l- ortak b\u00f6lgelerinin alan\u0131 ka\u00e7 br2\u2019dir? gesinde ka\u00e7 birimkare taral\u0131 b\u00f6lge bulunur? A)\t 1\t B)\t2\t C)\t3\t D)\t4 A)\t 7\t B)\t8\t C)\t9\t D)\t10 8. S\u0131n\u0131f 278","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 3 1.\t 3.\t y 1 4A x 2 O3 \t Yukar\u0131daki kareli ka\u011f\u0131t \u00fczerinde tetris oyunundan bir \t Yukar\u0131daki koordinat sisteminde A noktas\u0131nda bulu- kesit g\u00f6sterilmi\u015ftir. nan Ferit, s\u0131ras\u0131yla 3 br sa\u011fa 4 br a\u015fa\u011f\u0131ya y\u00fcr\u00fcy\u00fcp markete u\u011frad\u0131ktan sonra 6 br sola 2 br yukar\u0131 y\u00fcr\u00fc- \t Tetris oyunu oynayan Atahan 1. \u015fekle a\u015fa\u011f\u0131daki- yerek i\u015f yerine var\u0131yor. lerden hangi hamleyi yaparsa 2. \u015fekli tamamlam\u0131\u015f olur? \t Ferit\u2019in A noktas\u0131ndan i\u015f yerine gidene kadar y\u00fcr\u00fcm\u00fc\u015f oldu\u011fu yol g\u00fczergah\u0131 a\u015fa\u011f\u0131dakilerden A)\t 3 birim sola, 4 birim a\u015fa\u011f\u0131ya hangisidir? B)\t 5 birim a\u015fa\u011f\u0131ya, 3 birim sola C)\t4 birim sola, 3 birim a\u015fa\u011f\u0131ya A) B) D)\t5 birim sola, 2 birim a\u015fa\u011f\u0131ya C) D) \t 2.\t y A x O \t Yukar\u0131daki koordinat sisteminde verilen A noktas\u0131 s\u0131- 4.\t K(5, \uf06e) noktas\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 ras\u0131yla 6 br sa\u011fa 3 birim a\u015fa\u011f\u0131, 2 birim sola ve 5 br yukar\u0131 \u00f6teleniyor. L(\uf073, 2) oldu\u011funa g\u00f6re, \uf073 \u2013 \uf06e ifadesinin de\u011fe- ri ka\u00e7t\u0131r? \t Buna g\u00f6re \u00f6teleme hareketleri uygulan\u0131rken A noktas\u0131 a\u015fa\u011f\u0131daki noktalar\u0131n hangisinden ge\u00e7- A)\t \u20137\t B)\t\u20133\t C)\t3\t D)\t7 mez? A)\t (4,3)\t B)\t(2,1) C)\t (3,2)\t D)\t(2,5) 279 8. S\u0131n\u0131f","TEST - 3 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 5.\t 7.\t A\u015fa\u011f\u0131dakilerden hangisinde verilen \u015fekiller, do\u011f- ruya g\u00f6re birbirinin \u00f6telemeli yans\u0131mas\u0131d\u0131r? A) B) C) D) \t Yukar\u0131daki binan\u0131n \u00f6n cephesinin g\u00f6r\u00fcn\u00fcm\u00fcn\u00fcn bir do\u011fruya g\u00f6re simetrik olmas\u0131 i\u00e7in en az ka\u00e7 pencerenin daha perdesi kapat\u0131lmal\u0131d\u0131r? \t A)\t 1\t B)\t2\t C)\t3\t D)\t4 6.\t y 1. Konum 8.\t A\u015fa\u011f\u0131dakilerden hangisinde verilen \u015fekiller do\u011f- ruya g\u00f6re birbirinin \u00f6telemeli yans\u0131mas\u0131d\u0131r? A) B) O x 2. Konum C) D) \t \t Koordinat d\u00fczleminde 1. konumdaki \u015feklin 2. ko- numa ge\u00e7i\u015fi a\u015fa\u011f\u0131da verilen hangi iki hareket so- nucu olu\u015fmu\u015f olabilir? A)\t x eksenine g\u00f6re yans\u0131ma ve x eksenine paralel 2 birim sola \u00f6teleme B)\t y eksenine g\u00f6re yans\u0131ma ve x eksenine g\u00f6re yan- s\u0131ma C)\ty eksenine g\u00f6re yans\u0131ma ve y eksenine paralel 4 birim a\u015fa\u011f\u0131ya \u00f6teleme D)\tx eksenine paralel 5 br a\u015fa\u011f\u0131ya \u00f6teleme ve y ek- senine g\u00f6re yans\u0131ma 8. S\u0131n\u0131f 280","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 4 1.\t \t\t KL 4.\t M A N \t Yukar\u0131da verilen y\u00fcr\u00fcyen kalp modeli hangi d\u00f6- n\u00fc\u015f\u00fcmler sonucu olu\u015fmu\u015ftur? I II A)\t \u00d6teleme B)\t Yans\u0131ma C)\t\u00d6teleme - D\u00f6nme D)\tYans\u0131ma - \u00d6teleme \t Kareli ka\u011f\u0131tta verilen A noktas\u0131n\u0131n I. aynaya g\u00f6re simetri\u011fi olan noktan\u0131n II. aynaya g\u00f6re simetri\u011fi hangi noktad\u0131r? A)\t K\t B)\tL\t C)\tM\t D)\tN 5.\t y Ox 2.\t K\u00f6\u015fe noktas\u0131n\u0131n koordinatlar\u0131 A(1,3), B(3,2) ve C(5,4) olan \u00fc\u00e7gen x eksenine paralel 2 birim sa\u011fa \u00f6telendik- ten sonra y eksenine g\u00f6re yans\u0131mas\u0131 al\u0131n\u0131yor. \t Buna g\u00f6re, olu\u015fan yeni \u00fc\u00e7genin koordinatlar\u0131 top- lam\u0131 ka\u00e7t\u0131r? A)\t \u20136\t B)\t\u20133\t C)\t3\t D)\t6 \t Koordinat sisteminin 1. b\u00f6lgesinde verilen , , , harflerine a\u015fa\u011f\u0131daki d\u00f6n\u00fc\u015f\u00fcm hare- 3.\t A noktas\u0131n\u0131n x eksenine g\u00f6re yans\u0131mas\u0131 ketleri uyguland\u0131\u011f\u0131nda hangi kelime ortaya \u00e7\u0131kar? \tAI (\u20133,\u20135) ise A noktas\u0131n\u0131n y eksenine g\u00f6re yan- s\u0131mas\u0131n\u0131n koordinatlar\u0131 a\u015fa\u011f\u0131dakilerden hangisi- \t \u2192\t y eksenine g\u00f6re yans\u0131ma ve x eksenine para- dir? lel 4 br sa\u011fa, y eksenine paralel 6 br a\u015fa\u011f\u0131ya \u00f6teleme \t \u2192\t x eksenine g\u00f6re yans\u0131ma ve x eksenine para- lel 9 br sola \u00f6teleme \t \u2192\t x eksenine paralel 4 br sola, y eksenine pa- ralel 5 br a\u015fa\u011f\u0131ya \u00f6teleme \t \u2192\t x eksenine paralel 8 br sola \u00f6teleme ve x ek- senine g\u00f6re yans\u0131ma A) B) A)\t (3,5)\t B)\t(\u20133,5) \t C) D) C)\t (5,3)\t D)\t(\u20133,\u20135) 281 8. S\u0131n\u0131f","TEST - 4 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 6.\t A\u015fa\u011f\u0131da verilen se\u00e7eneklerin hangisinde \u00f6teleme 8.\t hareketi yap\u0131lm\u0131\u015f olabilir? A) B) d C) D) \t \t Yukar\u0131da e\u015f alt\u0131genlerle olu\u015fturulmu\u015f \u015fekle en az ka\u00e7 e\u015f alt\u0131gen daha eklenirse, \u015fekil d do\u011frusuna g\u00f6re simetrik olur? A)\t 4\t B)\t5\t C)\t6\t D)\t7 7.\t y 9.\t d AB x A B O D C \t \u015eekildeki ABCD dikd\u00f6rtgeni, verilen d\u00fczlemde \u00f6tele- \t Kareli ka\u011f\u0131tta verilen AB do\u011fru par\u00e7as\u0131n\u0131n d do\u011f- niyor. rusuna g\u00f6re simetri\u011finin g\u00f6r\u00fcnt\u00fcs\u00fc a\u015fa\u011f\u0131dakiler- den hangisidir? \t x ve y eksenleri, elde edilen dikd\u00f6rtgenin simetri do\u011frular\u0131 oldu\u011funa g\u00f6re, a\u015fa\u011f\u0131dakilerden hangi- A) B) si \u00f6telenmi\u015f dikd\u00f6rtgenin k\u00f6\u015fe koordinatlar\u0131ndan biridir? A A BB A)\t (2,1)\t B)\t(2,\u20131) C) D) C)\t (\u20131,\u20132)\t D)\t(1,3) A B B A \t 8. S\u0131n\u0131f 282","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 5 1.\t B 3.\t LR KM NP A \t Birim karelerden olu\u015fan yukar\u0131daki zeminde veri- \t Yukar\u0131daki boyal\u0131 \u015feklin AB do\u011frusuna g\u00f6re si- len \u00e7okgen 4 birim sa\u011fa 5 birim yukar\u0131 \u00f6telenirse hangi noktalar \u00e7okgenin i\u00e7 b\u00f6lgesinde kal\u0131r? metri\u011fi a\u015fa\u011f\u0131dakilerden hangisidir? A)\t K ve M\t B)\t M ve N A) B) C)\t N ve P\t D)\t L ve R C) D) \t 2.\t y 4.\t A\u015fa\u011f\u0131da bilgisayar klavyesinden bir s\u0131ral\u0131 ikili girildik- AB ten sonra bir bilgisayar program\u0131n\u0131n i\u015flemler zinciri verilmi\u015ftir. DC x KO 1. Ad\u0131m: Verilen noktay\u0131 x eksenine g\u00f6re yans\u0131t. L 2. Ad\u0131m: \t Koordinat d\u00fczleminde verilen KL do\u011fru par\u00e7as\u0131na Elde edilen noktay\u0131 y ekseni boyunca 3 birim a\u015fa\u011f\u0131dakilerden hangisi uygulan\u0131rsa olu\u015fan g\u00f6- a\u015fa\u011f\u0131 \u00f6tele. r\u00fcnt\u00fc ABCD karesinin k\u00f6\u015fegeni olur? 3. Ad\u0131m: A)\t x eksenine g\u00f6re yans\u0131t\u0131l\u0131p 4 br yukar\u0131 \u00f6teleme Elde edilen noktay\u0131 y eksenine g\u00f6re yans\u0131t. B)\t x eksenine g\u00f6re yans\u0131t\u0131l\u0131p 6 br sola \u00f6teleme C)\ty eksenine g\u00f6re yans\u0131t\u0131l\u0131p 4 br yukar\u0131 \u00f6teleme 4. Ad\u0131m: D)\t4 br yukar\u0131 \u00f6teleme sonra 6 br sola \u00f6teleme Elde edilen nokta 3. b\u00f6lgede ise 5. ad\u0131ma git, de\u011filse 2. ad\u0131mdan devam et. 5. Ad\u0131m: Elde edilen noktan\u0131n koordinatlar\u0131 toplam\u0131n\u0131 \t ekrana yaz. \t Bu programa g\u00f6re (\u20134, 7) s\u0131ral\u0131 ikilisi girildi\u011finde ekranda hangi say\u0131 yazar? A)\t \u201310\t B)\t\u201313\t C)\t\u201317\t D)\t\u201318 283 8. S\u0131n\u0131f","TEST - 5 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 5.\t Bir ilerleme oyununda 2 \u00e7e\u015fit kod bulunmaktad\u0131r. Bunlar A, B, C, D y\u00f6n kodlar\u0131 ve x hamle kodudur. \t A, B, C ve D kodlar\u0131 s\u0131ras\u0131 ile sa\u011fa, sola, yukar\u0131 ve a\u015fa\u011f\u0131 y\u00f6nleri g\u00f6stermektedir. \t Ax: x ad\u0131m sa\u011fa\t\t Bx: x ad\u0131m sola \t Cx: x ad\u0131m yukar\u0131\t\t Dx: x ad\u0131m a\u015fa\u011f\u0131 gidildi\u011fini g\u00f6sterir. \t \u00d6rne\u011fin:\t \t\t K noktas\u0131nda bulunan biri A3 komutuyla L noktas\u0131na, \t\t\t\t\t\t ard\u0131ndan D3 komutuyla M noktas\u0131na gelmektedir. \t KL M \t\t \t Buna g\u00f6re L K \t\t \t A\u015fa\u011f\u0131dakilerden hangisi K noktas\u0131ndan L noktas\u0131na ilerleme kodu olamaz? A)\t A3C4\t B)\tC5A3D1\t C)\tA5C4B2\t D)\tB1C4A3 6.\t \t\t\t\t d \t Yukar\u0131daki kare bloklarla olu\u015fturulan \u015fekle en az ka\u00e7 kare blok eklenirse \u015fekil d do\u011frusuna g\u00f6re simetrik olur? \t A) 6\t B) 7\t C) 8\t D) 9 8. S\u0131n\u0131f 284","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 5 7.\t Etkile\u015fimli \u00e7al\u0131\u015fmalar olu\u015fturulabilen bir programlama dilinde istenen hareketler tan\u0131ml\u0131 bloklar\u0131n uygun \u015fekilde yer- le\u015ftirilmesiyle elde edilmektedir. \t Bu programlama dilinde bulunan baz\u0131 bloklar ve tan\u0131mlar\u0131 a\u015fa\u011f\u0131da verilmi\u015ftir.\t \u015eeklin hangi y\u00f6ne ka\u00e7 birim \u00f6telendi\u011fi ifade edilir. \t \u015eeklin belirtilen eksene g\u00f6re yans\u0131mas\u0131 ifade edilir.\t \t y \t \u00d6rnek: yandaki birim kareli zemin \u00fczerinde\t\t \t verilen koordinat sistemindeki 1. \u015fekle \t a\u015fa\u011f\u0131daki bloklarla belirtilen hareketler yu- \t kar\u0131dan a\u015fa\u011f\u0131 do\u011fru uyguland\u0131\u011f\u0131nda 2. \u015fekil 2. \u015eekil \t elde edilmi\u015ftir. x \t x yans\u0131mas\u0131n\u0131 al \t 5 br sa\u011fa \u00f6tele 1. \u015eekil \t Buna g\u00f6re yandaki birim kareli zemin\t\t y \t \u00fczerinde verilen koordinat sistemindeki \t 3. \u015fekle a\u015fa\u011f\u0131daki hareketlerden hangisi 3. \u015eekil \t uygulan\u0131rsa 4. \u015fekil elde edilir? x 4. \u015eekil A) 6 br sola \u00f6tele B) 5 br sa\u011fa \u00f6tele C) 6 br sa\u011fa \u00f6tele D) 6 br sa\u011fa \u00f6tele \t x yans\u0131mas\u0131n\u0131 al y yans\u0131mas\u0131n\u0131 al y yans\u0131mas\u0131n\u0131 al x yans\u0131mas\u0131n\u0131 al 285 8. S\u0131n\u0131f","TEST - 5 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 8.\t D\u00fczlem aynalarda g\u00f6r\u00fcnt\u00fc aynaya g\u00f6re cismin simetri\u011fidir. Simetri, cismin ve cismin g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fcn ayna ekseninde katland\u0131\u011f\u0131nda birbiriyle \u00e7ak\u0131\u015facak bi\u00e7imde \u00fcst \u00fcste gelmesidir. \t Braile Alfabesi, g\u00f6rme engellilerin kulland\u0131\u011f\u0131 bir ka\u011f\u0131t \u00fczerinde i\u011fne yard\u0131m\u0131yla yaz\u0131labilen alfabedeki harflerin, sa- y\u0131lar\u0131n, ba\u011fla\u00e7lar\u0131n ve noktalama i\u015faretlerinin de belirtildi\u011fi sistemdir. \t Bu sistemdeki rakamlar\u0131 ifade eden kartlar a\u015fa\u011f\u0131da verilmi\u015ftir. 0123456789 \t \t 609 say\u0131s\u0131n\u0131 olu\u015fturan kartlar d\u00fczlem aynan\u0131n \u00f6n\u00fcne \u015fekildeki gibi yerle\u015ftirilmi\u015ftir. \t Buna g\u00f6re, bu kartlar\u0131n d\u00fczlem aynadaki g\u00f6r\u00fcnt\u00fclerine kar\u015f\u0131l\u0131k gelen say\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 506\t B)\t584\t C)\t906\t D)\t984 8. S\u0131n\u0131f 286","Geometrik Cisimler TEST - 6 1.\t D\u00fczg\u00fcn alt\u0131gen prizman\u0131n ayr\u0131t say\u0131s\u0131 a\u015fa\u011f\u0131daki- 3.\t d lerden hangisidir? ab A)\t 6\t B)\t12\t C)\t18\t D)\t24 c f e \t A\u00e7\u0131n\u0131m\u0131 verilen \u00fc\u00e7gen prizmaya g\u00f6re a\u015fa\u011f\u0131daki- lerden hangisi her zaman do\u011fru de\u011fildir? A)\t b = c\t B)\t c = e C)\t a = d\t D)\t d = f 2.\t \t\t 8 34 5 \t A\u015fa\u011f\u0131dakilerden hangisi \u00fc\u00e7gen prizman\u0131n yan y\u00fc- zeylerinden biri de\u011fildir? A) B) 88 4.\t K A B 3 4 4 C) D) 5 L \t5 8 4 \t \u015eekildeki a\u00e7\u0131n\u0131m\u0131n \u00e7evresi 60 birim |KL| = 4 br\u2019dir. \t B b\u00f6lgesinin alan\u0131 12 br2 oldu\u011funa g\u00f6re A b\u00f6lge- sinin alan\u0131 ka\u00e7 br2\u2019dir? A)\t 18\t B)\t21\t C)\t24\t D)\t28 287 8. S\u0131n\u0131f","TEST - 6 D Geometrik Cisimler 5.\t BC 7.\t 2 cm 5 cm 30 br 40 br A 8 cm \t \u015eekildeki ayr\u0131tlar\u0131n\u0131n uzunluklar\u0131 2 cm, 5 cm ve 8 cm \t Dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki ah\u015fap kasa yapmak olan dikd\u00f6rtgenler prizmas\u0131 verilmi\u015ftir. i\u00e7in kullan\u0131lan tahtan\u0131n alan\u0131 3300 br2\u2019dir. \t C, [BD]\u2019nin orta noktas\u0131 oldu\u011funa g\u00f6re prizman\u0131n \t Buna g\u00f6re ah\u015fap kasan\u0131n di\u011fer ayr\u0131t\u0131 ka\u00e7 br\u2019dir? a\u00e7\u0131n\u0131m\u0131 yap\u0131ld\u0131\u011f\u0131nda A ile C noktalar\u0131 aras\u0131ndaki uzakl\u0131k en az ka\u00e7 cm\u2019dir? A)\t 10\t B)\t15\t C)\t20\t D)\t25 A)\t 8\t B)\t10\t C)\t 106 \t D)\t15 6.\t Y\u00fczleri 1\u2019den 6\u2019ya kadar rakamlarla numaraland\u0131r\u0131lan k\u00fcplerin a\u00e7\u0131n\u0131mlar\u0131 yap\u0131l\u0131yor. \t \u00d6rne\u011fin; bu k\u00fcplerden birinin a\u00e7\u0131n\u0131m\u0131 a\u015fa\u011f\u0131daki gibi- dir. 3 1652 \t4 8.\t \t A\u015fa\u011f\u0131da a\u00e7\u0131n\u0131mlar\u0131 verilen k\u00fcplerin hangisinde 1 \u00e7ift say\u0131lar\u0131n bulundu\u011fu y\u00fczler ortak bir k\u00f6\u015fede 32 kesi\u015fir? A) 6 B) 2 4 5314 1453 2 6 \t Birim k\u00fcplerden olu\u015fan \u015fekilde, numaraland\u0131r\u0131l- m\u0131\u015f k\u00fcplerden hangisi \u00e7\u0131kar\u0131ld\u0131\u011f\u0131nda yap\u0131n\u0131n y\u00fc- C) 5 D) 4 zey alan\u0131 de\u011fi\u015fmez? 1236 2136 A)\t 1\t B)\t2\t C)\t3\t D)\t4 \t4 5 8. S\u0131n\u0131f 288","Geometrik Cisimler TEST - 7 1.\t 3.\t A 15 cm L 60 cm KB 35 cm \t \u015eekildeki kare prizman\u0131n a\u00e7\u0131n\u0131m\u0131 verilmi\u015ftir. \t K b\u00f6lgesinin alan\u0131 35 br2 ve L b\u00f6lgesinin alan\u0131 49 \t Dikd\u00f6rtgenler prizmas\u0131 bi\u00e7imindeki bir hediye paketi- nin ayr\u0131t uzunluklar\u0131 verilmi\u015ftir. br2\u2019dir. \t Buna g\u00f6re \u015fekildeki A ile B noktas\u0131 aras\u0131ndaki en k\u0131sa uzakl\u0131k ka\u00e7 br\u2019dir? \t \u015eekildeki ba\u011flay\u0131\u015fa g\u00f6re ipin uzunlu\u011fu ka\u00e7 A)\t 12\t B)\t17\t C)\t25\t D)\t31 cm\u2019dir? \t (D\u00fc\u011f\u00fcmler i\u00e7in kullan\u0131lan k\u0131s\u0131mlar\u0131 ihmal ediniz.) A)\t 110\t B)\t220\t C)\t250\t D)\t270 4.\t \t\t 30 cm 2.\t 40 cm ab 40 cm cd e \t Kare dik prizma \u015feklindeki bir su kab\u0131n\u0131n y\u00fcksekli\u011fi 60 cm\u2019dir. \t Yukar\u0131da bir k\u00fcp\u00fcn a\u00e7\u0131n\u0131m\u0131 verilmi\u015ftir. \t Kap yan yat\u0131r\u0131ld\u0131\u011f\u0131nda i\u00e7indeki suyun y\u00fcksekli\u011fi \t K\u00fcp\u00fcn alt y\u00fczeyinde siyah kare bulundu\u011funda \u00fcst ka\u00e7 cm olur? y\u00fczeyindeki karede hangi harf bulunur? A)\t a\t B)\tb\t C)\t c\t D)\td A)\t 5\t B)\t10\t C)\t15\t D)\t20 289 8. S\u0131n\u0131f","TEST - 7 6 5 Geometrik Cisimler 41 61 5.\t 1 6.\t 42 \u015eekil 1 1 \t Bir dikd\u00f6rtgenler prizmas\u0131n\u0131n a\u00e7\u0131n\u0131m\u0131 olan maketin bir 4b k\u0131sm\u0131 \u015fekildeki gibi boyan\u0131yor. a \t Bu maket boyal\u0131 k\u0131sm\u0131 d\u0131\u015far\u0131 kalacak \u015fekilde ka- \u015eekil 2 pat\u0131ld\u0131\u011f\u0131nda elde edilen dikd\u00f6rtgenler prizmas\u0131 a\u015fa\u011f\u0131dakilerden hangisi olamaz? \t Yukar\u0131da \u015eekil-1\u2019de bir k\u00fcp\u00fcn farkl\u0131 g\u00f6r\u00fcn\u00fc\u015fleri veril- A) B) mi\u015ftir. C) D) \t Buna g\u00f6re \u015eekil-2\u2019de a\u00e7\u0131n\u0131m\u0131 verilen k\u00fcp\u00fcn a ve b y\u00fczlerine hangi say\u0131lar yaz\u0131lmal\u0131d\u0131r? a b A) 5 6 B) 4 3 C) 3 5 D) 2 3 \t 8. S\u0131n\u0131f 290","Geometrik Cisimler TEST - 8 1.\t 1 birim uzunlu\u011fundaki tel \u00e7ubuklar ve bu tel \u00e7ubuklar\u0131 3.\t \t\t\t birbirine ba\u011flayan m\u0131knat\u0131s k\u00fcreler kullan\u0131larak \u00e7e\u015fitli 40 m2 2 geometrik cisimler olu\u015fturuluyor. 48 m2 30 m \t Bu cisimler en az say\u0131da tel \u00e7ubuk kullan\u0131larak olu\u015f- turuluyor. \t Matsev Yay\u0131nc\u0131l\u0131k a\u00e7\u0131lan bir kitap fuar\u0131 i\u00e7in yukar\u0131daki \u015fekilde g\u00f6sterildi\u011fi gibi dikd\u00f6rtgenler prizmas\u0131 \u015feklin- \t \u00d6rnek: Taban\u0131 bir e\u015fkenar \u00fc\u00e7gen olup \u00fc\u00e7genin bir ke- de bir stant yapt\u0131rm\u0131\u015ft\u0131r. nar uzunlu\u011fu 1 birim ve y\u00fcksekli\u011fi 2 birim olan \u00fc\u00e7gen prizmay\u0131 en az say\u0131da tel \u00e7ubuk kullan\u0131larak sol tarafta \t \u00dc\u00e7 farkl\u0131 y\u00fczey alan\u0131 48 m2, 40 m2 ve 30 m2 olarak verilen \u015fekildeki gibi olu\u015fturmaktad\u0131r. verilen dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki stand\u0131n daha \u00e7ok ilgi \u00e7ekmesi i\u00e7in b\u00fct\u00fcn ayr\u0131tlar\u0131 bir s\u0131ra \u015ferit led lamba ile s\u00fcslenecektir. \t Buna g\u00f6re ka\u00e7 metre \u015ferit led lambaya ihtiya\u00e7 var- d\u0131r? A) 102\t B) 76\t C) 54\t D)\t38 \t Do\u011fru \u2714 Yanl\u0131\u015f \u2718 \t Bu boyutlardaki \u00fc\u00e7gen prizma, 12 tel \u00e7ubuk ve 9 m\u0131k- nat\u0131s k\u00fcre kullan\u0131larak olu\u015fturulmaktad\u0131r. \t Buna g\u00f6re taban\u0131n\u0131n bir kenar uzunlu\u011fu 1 birim ve y\u00fcksekli\u011fi 3 birim olan kare prizmay\u0131 olu\u015fturmak i\u00e7in kullan\u0131lan tel \u00e7ubuk ile m\u0131knat\u0131s k\u00fcre say\u0131s\u0131- n\u0131n toplam\u0131 ka\u00e7t\u0131r? A)\t 36\t B)\t40\t C)\t44\t D)\t48 4.\t A 15 m 2.\t HA KA B N 3m 10 m 6m \t Yukar\u0131da a\u00e7\u0131n\u0131m\u0131 verilen bir k\u00fcp\u00fcn y\u00fczeyleri \u015fekildeki \t \u015eekilde y\u00fcksekli\u011fi 15 metre olan dikd\u00f6rtgenler priz- gibi doldurulmu\u015ftur. mas\u0131 bi\u00e7iminde bir bina verilmi\u015ftir. A noktas\u0131nda bir televizyon anteni ve yerden 3 m y\u00fckseklikteki B nok- \t Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yukar\u0131da a\u00e7\u0131- tas\u0131nda bir televizyon kablo giri\u015fi bulunmaktad\u0131r. n\u0131m\u0131 verilen k\u00fcp\u00fcn herhangi bir y\u00f6nden g\u00f6r\u00fcn\u00fc- m\u00fc olamaz? \t A ile B noktalar\u0131 aras\u0131nda, binan\u0131n y\u00fczeyi \u00fczerinden kablo ile ba\u011flant\u0131 yap\u0131lmak isteniyor. A) K B) KA C) N D) N AK HA \t Buna g\u00f6re en az ka\u00e7 metre kabloya ihtiya\u00e7 vard\u0131r? \t NA A)\t 25\t B)\t20\t C)\t15\t D)\t10 291 8. S\u0131n\u0131f","TEST - 8 Geometrik Cisimler 5.\t \t\t\t\t\t \t Yukar\u0131da y\u00fczey a\u00e7\u0131n\u0131m\u0131 verilen d\u00fczg\u00fcn be\u015fgen piramidin, yanal y\u00fczeyleri \u015fekildeki gibi b\u00f6l\u00fcmlere ayr\u0131lm\u0131\u015f ve baz\u0131 b\u00f6l\u00fcmleri boyanm\u0131\u015ft\u0131r. \t A\u015fa\u011f\u0131da bir noktadan g\u00f6r\u00fcn\u00fcm\u00fc verilen piramitlerden hangisi bu piramidin kapal\u0131 h\u00e2li olabilir? A) B) C) D) \t 6.\t Hatay\u2019dan \u0130stanbul\u2019a ta\u015f\u0131nan bir ailenin e\u015fyalar\u0131, nakliye \u015firketinin ayarlad\u0131\u011f\u0131 kamyonun d\u00f6rtte \u00fc\u00e7\u00fcn\u00fc doldurmu\u015ftur. \t Kamyon kasas\u0131n\u0131n boyutlar\u0131 2 m, 3 m ve 12 m\u2019dir. Nakliye \u015firketi kamyonda 1 m3\u2019l\u00fck hacmi kaplayan e\u015fyan\u0131n orta- lama 20 kg geldi\u011fini kabul etmektedir. 12 m 2m 3m \t \t Nakliye \u015firketi 720 kg\u2019lik e\u015fyay\u0131 900 TL\u2019ye ta\u015f\u0131d\u0131\u011f\u0131na g\u00f6re bu ailenin e\u015fyalar\u0131n\u0131 ta\u015f\u0131ma kar\u015f\u0131l\u0131\u011f\u0131nda nakliye \u015firketine ka\u00e7 TL \u00f6deme yapar? A)\t 1200\t B)\t1350\t C)\t1500\t D)\t1750 8. S\u0131n\u0131f 292","Geometrik Cisimler TEST - 9 1.\t \t\t 4.\t Y\u00fcksekli\u011fi yar\u0131\u00e7ap\u0131n\u0131n iki kat\u0131na e\u015fit olan dik dai- resel silindirin taban \u00e7evresi 30 cm oldu\u011funa g\u00f6re y\u00fcksekli\u011fi ka\u00e7 cm\u2019dir? (p = 3 al\u0131n\u0131z.) 12 cm 8 cm A)\t 3\t B)\t5\t C)\t10\t D)\t12 \t A\u00e7\u0131n\u0131m\u0131 verilen dik dairesel silindir a\u015fa\u011f\u0131dakiler- 5.\t Taban yar\u0131\u00e7ap\u0131 5 cm ve y\u00fcksekli\u011fi 8 cm olan den hangisidir? (p = 3 al\u0131n\u0131z.) dik dairesel silindirin yanal y\u00fczeyinin alan\u0131 ka\u00e7 A) 4 cm B) 3 cm cm2\u2019dir? (p = 3 al\u0131n\u0131z.) 8 cm 8 cm A)\t 240\t B)\t315\t C)\t390\t D)\t600 C) 2 cm D) 1 cm 8 cm 8 cm 6.\t Taban yar\u0131\u00e7ap\u0131 4 birim ve y\u00fcksekli\u011fi 10 birim olan dik \t dairesel silindir bi\u00e7imindeki bir s\u00fcrahinin tamam\u0131 suyla doludur. Suyun bir k\u0131sm\u0131, taban yar\u0131\u00e7aplar\u0131 2 br olan 2.\t Yan y\u00fczeyi kare olan dik dairesel silindirin yan y\u00fc- dik dairesel silindir bi\u00e7imindeki bo\u015f d\u00f6rt \u00f6zde\u015f barda- \u011fa bo\u015falt\u0131ld\u0131\u011f\u0131nda bardaklar tamamen suyla doluyor. zey alan\u0131 324 cm2 oldu\u011funa g\u00f6re taban alan\u0131 ka\u00e7 cm2\u2019dir? (p = 3 al\u0131n\u0131z.) \t Son durumda s\u00fcrahide kalan su y\u00fcksekli\u011fi ile bardak- taki su y\u00fckseklikleri birbirine e\u015fit oluyor. \t Buna g\u00f6re, bir bardaktaki su y\u00fcksekli\u011fi ka\u00e7 br\u2019dir? (p = 3 al\u0131n\u0131z.) A)\t 3\t B)\t4\t C)\t5\t D)\t6 A)\t 12\t B)\t18\t C)\t27\t D)\t48 3.\t Taban yar\u0131\u00e7ap\u0131 2 cm ve y\u00fcksekli\u011fi 5 cm olan 7.\t Taban yar\u0131\u00e7ap\u0131n\u0131n uzunlu\u011fu 0,5 cm olan dik dairesel dik dairesel silindirin yan y\u00fczeyinin \u00e7evresi ka\u00e7 silindir \u015feklindeki 10 e\u015f \u015fi\u015fe kapa\u011f\u0131 \u00fcst \u00fcstte dizilerek cm\u2019dir? (p = 3 al\u0131n\u0131z.) bir dik dairesel silindir elde ediliyor. \t Elde edilen silindirin hacmi 60 cm3 oldu\u011funa g\u00f6re bir \u015fi\u015fe kapa\u011f\u0131n\u0131n y\u00fcksekli\u011fi ka\u00e7 cm\u2019dir? (p = 3 al\u0131- n\u0131z.) A)\t 14\t B)\t22\t C)\t28\t D)\t34 A)\t 6\t B)\t8\t C)\t10\t D)\t12 293 8. S\u0131n\u0131f","TEST - 9 Geometrik Cisimler 8.\t Yar\u0131\u00e7ap\u0131n\u0131n uzunlu\u011fu 2m, y\u00fcksekli\u011fi 5 m olan silin- 11.\t Taban yar\u0131\u00e7ap\u0131 4 cm ve y\u00fcksekli\u011fi 3 cm olan dik da- dir \u015fekildeki bir reklam panosunun yan y\u00fcz\u00fcne kenar iresel silindir \u015feklindeki bir kap su ile dolduruluyor. uzunluklar\u0131 0,5 ve 2 m olan dikd\u00f6rtgen \u015feklindeki afi\u015f- ler yap\u0131\u015ft\u0131r\u0131lacakt\u0131r. \t Kaptaki su taban yar\u0131\u00e7ap\u0131 2 cm olan ba\u015fka bir dik dairesel silindir \u015feklindeki kaba bo\u015falt\u0131ld\u0131\u011f\u0131nda \t Bu panoya afi\u015fler \u00fcst \u00fcste gelmeyecek \u015fe- y\u00fcksekli\u011fi ka\u00e7 cm olur? kilde en fazla ka\u00e7 tane afi\u015f yap\u0131\u015ft\u0131r\u0131labilir? (p = 3 al\u0131n\u0131z.) A)\t 6\t B)\t9\t C)\t12\t D)\t15 A)\t 30\t B)\t45\t C)\t60\t D)\t90 9.\t Taban yar\u0131\u00e7ap\u0131 5 cm ve y\u00fcksekli\u011fi 7 cm 12.\tDik dairesel silindirin hacmi 972 cm2 ve y\u00fcksekli\u011fi olan dik silindirin hacmi ka\u00e7 cm3\u2019dir? 9 cm\u2019dir. \t Buna g\u00f6re bu silindirin taban alan\u0131 ka\u00e7 cm2\u2019dir? (p = 3 al\u0131n\u0131z.) (p = 3 al\u0131n\u0131z.) A)\t 36\t B)\t54\t C)\t90\t D)\t108 A)\t 210\t B)\t336\t C)\t495\t D)\t525 13.\t \t\t\t 10.\t\t\t\t D 4 cm C h 18 cm \t Yar\u0131\u00e7ap\u0131 5 cm olan silindir bi\u00e7imindeki bir kapta, ba\u015f- lang\u0131\u00e7ta 100p cm3 su vard\u0131r. AB \t Taban yar\u0131\u00e7ap\u0131 4 cm ve y\u00fcksekli\u011fi 18 cm olan dik da- \t Bu kaba yeniden su doldurulmakta ve kaptaki suyun y\u00fcksekli\u011fi t zaman\u0131na g\u00f6re, h = at + b ba\u011f\u0131nt\u0131s\u0131 ile de- iresel silindirin A noktas\u0131ndan hareket eden kar\u0131nca \u011fi\u015fmektedir. yan y\u00fczeyde y\u00fcr\u00fcyerek D noktas\u0131na ula\u015f\u0131yor. \t Buna kaba su konmaya ba\u015flad\u0131ktan 2 saat sonra \t Kar\u0131ncan\u0131n ald\u0131\u011f\u0131 yol en az ka\u00e7 cm\u2019dir? suyun y\u00fcksekli\u011fi 6 cm oldu\u011funa g\u00f6re, 5 saat son- ra suyun y\u00fcksekli\u011fi ka\u00e7 cm olur? A)\t 18\t B)\t30\t C)\t36\t D)\t42 A)\t 9\t B)\t12\t C)\t15\t D)\t18 8. S\u0131n\u0131f 294","D\u00f6n\u00fc\u015f\u00fcm Geometrisi TEST - 10 1.\t Taban yar\u0131\u00e7ap\u0131 2 m olan dik dairesel silindir bi\u00e7imin- 5.\t 1 br deki bir su tankerinin i\u00e7inde 180 m3 su bulunmaktad\u0131r. 1 br Tankere bir musluktan su ak\u0131t\u0131ld\u0131\u011f\u0131nda tankerin i\u00e7in- deki suyun y\u00fcksekli\u011fi, zamana g\u00f6re do\u011frusal olarak artmaktad\u0131r \t Tankerdeki suyun \u00fczerine su konmaya ba\u015flad\u0131k- tan 4 dakika sonra suyun y\u00fcksekli\u011fi 17 m oldu- \u011funa g\u00f6re, 6 dakika sonra ka\u00e7 metre olur? (p = 3 al\u0131n\u0131z.) A)\t 18\t B)\t19\t C)\t20\t D)\t21 2.\t Y\u00fcksekli\u011fi \u00e7ap uzunlu\u011funa e\u015fit olan silindirin hacmi \t Yukar\u0131daki kareli ka\u011f\u0131tta bir dik dairesel silindirin yan y\u00fcz\u00fc verilmi\u015ftir. 162 cm3\u2019t\u00fcr. \t Bu silindir ile ilgili a\u015fa\u011f\u0131dakilerden hangisi yan- \t Bu silindirin taban alan\u0131 ka\u00e7 cm2\u2019dir? l\u0131\u015ft\u0131r? (p = 3 al\u0131n\u0131z.) \t (p = 3 al\u0131n\u0131z.) A)\t Y\u00fcksekli\u011fi 12 br olabilir. A)\t 12\t B)\t27\t C)\t48\t D)\t75 B)\t Taban dairesinin yar\u0131\u00e7ap uzunlu\u011fu 2 br olabilir. C)\tTaban dairesinin \u00e7evre uzunlu\u011fu 9 br olabilir. D)\tTaban dairesinin yar\u0131\u00e7ap uzunlu\u011fu 3 br olabilir. 3.\t Y\u00fcksekli\u011fi 10 cm olan dik silindir bi\u00e7imindeki bir su barda\u011f\u0131 t\u00fcm\u00fcyle su doludur. Suyun 27 cm3\u2019\u00fc d\u00f6k\u00fcl- d\u00fc\u011f\u00fcnde, su y\u00fcksekli\u011fi 3 cm azalmaktad\u0131r. \t Buna g\u00f6re, t\u00fcm\u00fcyle dolu bardakta ka\u00e7 cm3 su bu- lunur? A)\t 90\t B)\t135\t C)\t240\t D)\t270 6.\t \t\t\t C 4.\t Yar\u0131\u00e7ap\u0131 6 cm ve y\u00fcksekli\u011fi 20 cm olan bir dik silindir 17 \u015feklindeki bardak yar\u0131s\u0131na kadar su ile doludur. A 4 B O \t Bu su yar\u0131\u00e7ap\u0131 3 cm ve y\u00fcksekli\u011fi h cm olan bir dik silindir bi\u00e7imindeki ba\u015fka bir barda\u011f\u0131n i\u00e7ine d\u00f6k\u00fcld\u00fc- \t \u015eekildeki dik dairesel silindirin hacmi ka\u00e7 cm3\u2019t\u00fcr? \u011f\u00fcnde barda\u011f\u0131n tamam\u0131 doluyor. (p = 3 al\u0131n\u0131z.) \t Buna g\u00f6re h ka\u00e7t\u0131r? A)\t 10\t B)\t20\t C)\t30\t D)\t40 A)\t 408\t B)\t504\t C)\t720\t D)\t816 295 8. S\u0131n\u0131f","TEST - 10 D\u00f6n\u00fc\u015f\u00fcm Geometrisi 7.\t 10 10.\t 2 2 cm 20 S\u00fct 12 4 cm S\u00fct I 4 II 15 III 8 cm 8 8 \t \u015eekildeki iki farkl\u0131 kutuda sat\u0131lan s\u00fctlerin fiyatlar\u0131, bu- \t \u015eekilde I. havuz f\u0131skiyeden akan, di\u011ferleri de \u00fcstteki lunduklar\u0131 kutunun hacmi ile orant\u0131l\u0131d\u0131r. havuzdan ta\u015fan su ile dolmaktad\u0131r. \t Silindir \u015feklindeki kutuda sat\u0131lan s\u00fct 15 TL oldu- \t F\u0131skiyeden toplam 200 p cm3 su akt\u0131\u011f\u0131nda III. ha- \u011funa g\u00f6re dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki ku- vuzun % ka\u00e7\u0131 bo\u015f kal\u0131r? tuda sat\u0131lan s\u00fct ka\u00e7 lirad\u0131r? A)\t 20\t B)\t25\t C)\t50\t D)\t75 \t (p = 3 al\u0131n\u0131z.) A)\t 10\t B)\t15\t C)\t20\t D)\t25 11.\t \t\t\t 8.\t Taban yar\u0131\u00e7ap\u0131n\u0131n uzunlu\u011fu 2 m ve y\u00fcksekli\u011fi 26 m olan dik dairesel silindir \u015feklindeki su deposunun 10 d\u00f6rtte biri doludur. \t Birinci g\u00fcn depodaki suyun 1 \u2019\u00fc ikinci g\u00fcn depoda O4 3 \t Hacmi 12000 cm3 olan su deposu, \u015fekildeki silindir kalan suyun yar\u0131s\u0131 kullan\u0131lm\u0131\u015ft\u0131r. kaplarla doldurulacakt\u0131r. \t Buna g\u00f6re, ikinci g\u00fcn\u00fcn sonunda depoda ka\u00e7 m3 su kalm\u0131\u015ft\u0131r? (p = 3 al\u0131n\u0131z.) \t Bu i\u015flem i\u00e7in en az ka\u00e7 kap su gerekir? \t (p = 3 al\u0131n\u0131z.) A)\t 3.23\t B)\t25\t C)\t 3.24\t D)\t26 A)\t 15\t B)\t20\t C)\t25\t D)\t30 9.\t 12.\t 30 O1 O2 \t K\u0131sa kenar\u0131 30 cm ve alan\u0131 1800 cm2 olan dikd\u00f6rt- \t \u015eekildeki dik dairesel silindirin a\u00e7\u0131n\u0131m\u0131nda O1 ve gen bi\u00e7imindeki bir kartonun uzun kenar\u0131 \u015fekildeki gibi O2 merkezleri aras\u0131ndaki uzakl\u0131k 30 cm ve silin- k\u0131vr\u0131larak bir silindir elde ediliyor. dirin taban \u00e7evresi 18 cm oldu\u011funa g\u00f6re silindirin yan y\u00fcz alan\u0131 ka\u00e7 cm\u2019dir? (p = 3 al\u0131n\u0131z.) \t Bu silindirin yar\u0131\u00e7ap\u0131 ka\u00e7 cm\u2019dir? (p = 3 al\u0131n\u0131z.) A)\t 432\t B)\t480\t C)\t540\t D)\t572 A)\t 5\t B)\t10\t C)\t15\t D)\t20 8. S\u0131n\u0131f 296","Geometrik Cisimler TEST - 11 1.\t Leyla Han\u0131m 1. \u015fekilde verilen silindir bi\u00e7imindeki pey- 3.\t 15 r=4 nir kal\u0131b\u0131n\u0131, b\u0131\u00e7akla keserek iki e\u015f par\u00e7aya ay\u0131r\u0131yor. 2. \u015fekilde g\u00f6sterilen bu e\u015f par\u00e7alardan birini \u015feffaf po- \u015fetle sar\u0131yor. 12 r=2 1. \u015eekil \t Yukar\u0131da verilen dik dairesel silindirler a\u00e7\u0131l\u0131p a\u015fa\u011f\u0131daki gibi yan yana yerle\u015ftiriliyor. B \t 2. \u015eekil A \t \t Peynir kal\u0131b\u0131n\u0131n \u00e7ap\u0131 6 cm ve y\u00fcksekli\u011fi 20 cm oldu\u011funa g\u00f6re, 2. \u015fekildeki par\u00e7ay\u0131 sarmak i\u00e7in Leyla Han\u0131m\u0131n kullanaca\u011f\u0131 po\u015fet en az ka\u00e7 cm2 olmal\u0131d\u0131r? (p = 3 al\u0131n\u0131z.) A)\t 207\t B)\t267\t C)\t327\t D)\t507 \t Buna g\u00f6re A ve B noktalar\u0131 aras\u0131ndaki en k\u0131sa uzakl\u0131k ka\u00e7 cm\u2019dir? (p = 3 al\u0131n\u0131z.) A)\t 45\t B)\t48\t C)\t60\t D)\t65 2.\t 4.\t 15 cm 6m 5 cm 9m 3m \t \u015eekilde verilen silindir \u015feklindeki rulo f\u0131r\u00e7a boyaya ba- \t \u00dc\u00e7gen dik prizma \u015feklindeki \u00e7ad\u0131r\u0131n yan ayr\u0131t\u0131 9 m, t\u0131r\u0131l\u0131yor. taban ayr\u0131tlar\u0131ndan ikisi ise 6 m ve 3 m\u2019dir. Bu \u00e7ad\u0131r\u0131n t\u00fcm ayr\u0131tlar\u0131 \u015ferit ile kaplanmak isteniyor. \t \t F\u0131r\u00e7a 4 tam tur ilerletilirse ka\u00e7 cm2\u2019lik alan\u0131 boya- m\u0131\u015f olur? (p = 3 al\u0131n\u0131z.) \t Buna g\u00f6re kullan\u0131lan \u015feritin uzunlu\u011fu a\u015fa\u011f\u0131daki- lerden hangisi olabilir? A)\t 1125\t B)\t1600\t C)\t1800\t D)\t1950 A)\t 48\t B)\t51\t C)\t53\t D)\t63 297 8. S\u0131n\u0131f","TEST - 11 Geometrik Cisimler 5.\t Yar\u0131\u00e7ap uzunlu\u011fu r ve y\u00fcksekli\u011fi h olan bir dik dairesel silindirin yanal y\u00fczeyinin alan\u0131 2.p.r.h, hacmi p.r2.h dir.\t\t \t\t\t\t\t 450 cm MATSEV 25 cm \u015eekil I \t \u015eekil II \t Matsev Koleji \u00f6\u011frencileri okullar aras\u0131 voleybol kar\u015f\u0131la\u015fmalar\u0131 i\u00e7in okulu temsil edecek yukar\u0131daki afi\u015fi haz\u0131rlam\u0131\u015f- lard\u0131r. \t Eni 25 cm boyu 450 cm olan dikd\u00f6rtgen \u015feklindeki afi\u015f istendi\u011finde afi\u015f ile ayn\u0131 boydaki (endeki) silindir \u015feklindeki ruloya 3 tam tur atarak sar\u0131labilmektedir. \t Afi\u015fin kal\u0131nl\u0131\u011f\u0131 \u00f6nemsiz oldu\u011funa g\u00f6re silindir \u015feklindeki rulonun hacmi ka\u00e7 santimetrek\u00fcpt\u00fcr? (p yerine 3 al\u0131n\u0131z.) A)\t 6.(25)2\t B)\t22.63\t C)\t 3.56\t D)\t 3.(25)2 6.\t Yar\u0131\u00e7ap\u0131 r ve y\u00fcksekli\u011fi h olan bir dik dairesel silindirin hacmi p.r2.h, yan y\u00fcz alan\u0131 2.p.r.h form\u00fcl\u00fc ile hesaplan\u0131r. Tavan Hacmi: 1188 cm3 Zemin Yanal Alan\u0131: 396 cm2 \t \u015eekil I \u015eekil II \t \u015eekil I\u2019de verilen dik silindir \u015feklindeki kutunun hacmi 1188 cm3, yanal alan\u0131 396 cm2 dir. Bu kutulardan \u00f6zde\u015f olarak kullan\u0131lmak \u015fart\u0131yla, \u015fekil II\u2019deki gibi iki ayr\u0131 konumda \u00fcst \u00fcste konuldu\u011funda, zemin ve tavan aras\u0131nda hi\u00e7 bo\u015fluk kalmamaktad\u0131r. \t Zeminin tavana uzakl\u0131\u011f\u0131 350 cm\u2019den az oldu\u011funa g\u00f6re bu uzakl\u0131k en fazla ka\u00e7 birim olabilir? \t(p = 3 al\u0131n\u0131z.) A)\t 198\t B)\t264\t C)\t297\t D)\t330 8. S\u0131n\u0131f 298","Geometrik Cisimler TEST - 12 1.\t \t\t 10 cm 10 cm 6 cm 60\u00b010 cm 6 cm \u015eekil I \u015eekil II \u015eekil III \t Selim Usta \u015fekil I\u2019de g\u00f6r\u00fclen ayn\u0131 \u00f6zellikteki 12 adet tahta blo\u011fu \u00f6nce \u015fekil II\u2019deki gibi yontup i\u00e7 b\u00f6lgelerini k\u0131rm\u0131z\u0131- ya boyuyor. Sonra da kahverengi b\u00f6lgeler \u00fcst \u00fcste gelecek \u015fekilde yap\u0131\u015ft\u0131r\u0131p \u015fekil III\u2019teki i\u00e7i bo\u015f dik dairesel silindir elde ediyor. \t Bu durumda Selim Usta\u2019n\u0131n toplamda boyad\u0131\u011f\u0131 alan ka\u00e7 santimetrekaredir? (p = 3 al\u0131n\u0131z.) A)\t 360\t B)\t480\t C)\t240\t D)\t720 2.\t Yar\u0131\u00e7ap uzunlu\u011fu r, y\u00fcksekli\u011fi h birim olan silindirin hacmi p.r2.h form\u00fcl\u00fc ile hesaplan\u0131r. \t Sena, arkada\u015f\u0131na hediye etmek i\u00e7in silindir \u015feklinde bir mum alm\u0131\u015ft\u0131r. Bu mumun, y\u00fcksekli\u011fi taban \u00e7ap\u0131n\u0131n 2 kat\u0131na e\u015fit ve hacmi 1500 cm3\u2019t\u00fcr. h r \t \t Sena alm\u0131\u015f oldu\u011fu mumu hediye paketine koymak istedi\u011fine g\u00f6re ayr\u0131tlar\u0131 santimetre cinsinden verilmi\u015f a\u015fa\u011f\u0131daki cisimlerden hangisi hediye paketi olarak kullan\u0131labilir? (p = 3 al\u0131n\u0131z.) A) B) C) D) 15 20 21 20 \t r=4 3 r=3 2 10 10 52 52 299 8. S\u0131n\u0131f"]