["TEST - 14 E\u011fim 9.\t y = bx + 4 y y = ax + 4 12.\tA\u015fa\u011f\u0131daki duvara dayal\u0131 merdivenlerden k\u0131sa olan\u0131n y = cx e\u011fimi 1\u2019dir. 3m Ox \t Yukar\u0131da denklemi verilen do\u011frular\u0131n grafiklerine 0,6 m 0,3 m g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A)\t a . b = \u2013 1\t B)\t c = 2 \t C)\t b < a < c\t D)\t a + b + c = 4 \t Merdivenlerin duvara dayal\u0131 noktalar aras\u0131 uzak- l\u0131k 3 metre oldu\u011funa g\u00f6re, uzun merdivenin e\u011fimi ka\u00e7t\u0131r? (Merdivenlerin kal\u0131nl\u0131klar\u0131n\u0131 ihmal ediniz.) A)\t 7 \t B)\t4\t C)\t 9 \t D)\t5 2 2 10.\t2x\u2013ay+b =0 denklemiyle verilen do\u011frunun; \u2022\tE\u011fimi 1 \u2019t\u00fcr. 3 \u2022\tBu do\u011frunun grafi\u011fi (2,\u20131) noktas\u0131ndan ge\u00e7mekte- 13.\t\u015eekildeki \u00f6zde\u015f y\u00fckleri hangi i\u015f\u00e7i kutuyla beraber dir. rampadan daha kolay \u00e7\u0131kar\u0131r? A) \t Verilen bilgilere g\u00f6re a\u2013b ka\u00e7t\u0131r? 3 A)\t \u201312\t B)\t\u20138\t C)\t4\t D)\t16 B) 4 4 11.\t Hap Bilgi: Birbirine dik olan do\u011frular\u0131n e\u011fimleri \u00e7ar- C) 5 D) 12 p\u0131m\u0131 \u20131\u2019dir. \t 9 \t d1 : 2x + 3y \u2013 6 = 0 \t d2 : ( a \u2013 1 ) x \u2013 4y + 24 = 0 15 \td1 ve d2 do\u011frular\u0131 birbirine dik oldu\u011funda g\u00f6re a 8 ka\u00e7t\u0131r? A)\t 4\t B)\t5\t C)\t6\t D)\t7 8. S\u0131n\u0131f 200","E\u011fim TEST - 15 1.\t E\u011fim, dikey uzunlu\u011funun yatay uzunlu\u011fa oran\u0131d\u0131r. A\u015fa\u011f\u0131daki kareli zeminde verilen A noktas\u0131ndan yola \u00e7\u0131kan bir hareketli, e\u011fimi 2 olan yolu izleyerek 2. duraktaki noktalardan birine ula\u015ft\u0131ktan sonra bu noktadan e\u011fimi 1 olan 3 2 yolu izleyerek 3. duraktaki noktalardan birine ula\u015f\u0131yor. 4. Durak K L MN 3. Durak F GH I 2. Durak B CDE \t 1. Durak A \t Ard\u0131\u015f\u0131k iki durak aras\u0131nda izledi\u011fi yollar do\u011frusal oldu\u011funa g\u00f6re, bu hareketli, 3. durakta bulundu\u011fu nok- tadan e\u011fimi 1 olan yolu izleyerek 4. duraktaki hangi noktaya ula\u015f\u0131r? A)\t K\t B) L\t C)\tM\t D)\tN 2.\t Yerden y\u00fcksekli\u011fi 150 m olan bir plan\u00f6r 0,4\u2019l\u00fck sabit 3.\t E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa oran\u0131d\u0131r. bir e\u011fimle yer hizas\u0131nda 400 m hareket ederek kalk\u0131- Su \u015f\u0131n\u0131 tamaml\u0131yor. Depo 150 m Su \t 400 m Ev \t 400 m\u2019nin sonunda plan\u00f6r\u00fcn yerden y\u00fcksekli\u011fi \t Salih Bey\u2019in arazisinin krokisi yukar\u0131da verilmi\u015ftir. ka\u00e7 m olur? \t Evi ile su deposu aras\u0131nda do\u011frusal bir hat \u00fczerinde A)\t 250\t B)\t270\t C)\t290\t D)\t310 nakliye borusu d\u00f6\u015fetmek isteyen Salih Bey, bu siste- min suya temas etmesini istememektedir. \t Buna g\u00f6re a\u015fa\u011f\u0131da verilen e\u011fimlerden hangisi bu hatta ait e\u011fimlerden birisi olabilir? A)\t 7 \t B)\t 7 \t C)\t 1 \t D)\t 2 6 4 2 3 201 8. S\u0131n\u0131f","TEST - 15 E\u011fim 4.\t \t\t\t E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa oran\u0131d\u0131r. \t Bir binan\u0131n giri\u015f kap\u0131s\u0131n\u0131n \u00f6n\u00fcne y\u00fckseklikleri 18 cm, derinlikleri 120 cm olan iki basamakl\u0131 bir merdiven ve bu mer- divenin yan\u0131na bir engelli rampas\u0131 yap\u0131lm\u0131\u015ft\u0131r. 120 cm 18 cm 120 cm 18 cm \t \t Buna g\u00f6re, yap\u0131lan engelli rampas\u0131n\u0131n e\u011fimi ka\u00e7t\u0131r? A)\t 0,09\t B)\t 0,12\t C)\t 0,15\t D)\t 0,18 5.\t \t\t\t\t E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa oran\u0131d\u0131r. 12 cm \t \t Bir apartman\u0131n giri\u015fine biri d\u00f6rt di\u011feri alt\u0131 basamakl\u0131 ve e\u011fimleri e\u015fit olan yukar\u0131daki gibi iki merdiven yap\u0131lm\u0131\u015ft\u0131r. Merdivenlerin her biri e\u015f basamaklardan olu\u015fmu\u015ftur. \t D\u00f6rt basamakl\u0131 merdivende basamak geni\u015fli\u011fi 12 cm oldu\u011funa g\u00f6re, alt\u0131 basamakl\u0131 merdivende basamak geni\u015fli\u011fi ka\u00e7 santimetredir? A)\t 4\t B)\t6\t C)\t8\t D)\t10 8. S\u0131n\u0131f 202","E\u011fim TEST - 16 1.\t 3.\t E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa oran\u0131d\u0131r. E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa D oran\u0131d\u0131r. 12 km \t Bir \u00e7ift\u00e7i bah\u00e7esindeki a\u011fac\u0131n sa\u011fa ya da sola e\u011fil- memesi i\u00e7in iki taraf\u0131na da destek koymu\u015ftur. 30 cm \uf031\uf032\uf033 \tC B A I II \t \u015eekilde 12 km y\u00fckseklikte bulunan iki para\u015f\u00fct\u00e7\u00fc g\u00f6s- terilmi\u015ftir. \uf031\uf034\uf034\uf032\uf034\uf034\uf033 \uf031\uf034\uf034\uf032\uf034\uf034\uf033 \t BBinrionkctiapsa\u0131nraa\u015f, \u00fcikti\u00e7n\u00fcci43paer\u011fai\u015fm\u00fclte\u00e7\u00fc[D34B]ey\u011foimlulneu[DizCle]yyeorleuk- \t 50 cm 75 cm nu izleyerek C noktas\u0131na indiklerinde aralar\u0131ndaki uzakl\u0131k ka\u00e7 kilometre olur? \t \u0130ki deste\u011fin a\u011faca deste\u011fini noktalar\u0131n yerden y\u00fckseklikleri aras\u0131ndaki fark 30 cm ve desteklerin A)\t 7\t B)\t8\t C)\t9\t D)\t10 e\u011fimleri e\u015fit oldu\u011funa g\u00f6re, ikinci deste\u011fin a\u011faca de\u011fdi\u011fi noktan\u0131n yerden y\u00fcksekli\u011fi ka\u00e7 santimet- redir? A)\t 45\t B)\t60\t C)\t75\t D)\t90 2.\t 4.\t A\u015fa\u011f\u0131daki \u015fekilde verilen kayak pistinde C noktas\u0131n- E\u011fim, dikey uzunlu\u011fun yatay uzunlu\u011fa dan kaymaya ba\u015flayan bir kayak\u00e7\u0131, pistin CD b\u00f6l\u00fcm\u00fc- oran\u0131d\u0131r. n\u00fc 1 e\u011fimle, AD b\u00f6l\u00fcm\u00fcn\u00fc 2 e\u011fimle kaymaktad\u0131r. \t 3 5 Pistin C noktas\u0131n\u0131n yerden y\u00fcksekli\u011fi 100 m, D nok- tas\u0131n\u0131n yerden y\u00fcksekli\u011fi 60 metredir. 8m C 6m D 4m 12 m \t Yukar\u0131da bir evin krokisi verilmi\u015ftir. \tA B \t Evin \u00e7at\u0131s\u0131n\u0131n her iki taraf\u0131 ayn\u0131 e\u011fime sahiptir. \t Kroki \u00fczerinde verilen uzunluklara g\u00f6re, \u00e7at\u0131n\u0131n \t Buna g\u00f6re, A ile B noktalar\u0131 aras\u0131ndaki mesafe ka\u00e7 metredir? tepesinin yerden y\u00fcksekli\u011fi ka\u00e7 metredir? A)\t 240\t B)\t270\t C)\t300\t D)\t320 A)\t 9\t B)\t10\t C)\t11\t D)\t12 203 8. S\u0131n\u0131f","TEST - 16 E\u011fim 5.\t Dikd\u00f6rtgen \u015feklindeki bir levha, mavi renkli bir k\u00fcp\u00fcn bir ayr\u0131t\u0131 ile \u00e7ak\u0131\u015facak ve e\u011fimi %50 olacak bi\u00e7imde zemin \u00fczerine \u015eekil - 1\u2019deki gibi yerle\u015ftirilerek bir rampa elde edilmi\u015ftir. Bu rampan\u0131n e\u011fimi de\u011fi\u015fmeyecek bi\u00e7imde mavi k\u00fcp ile \u00f6zde\u015f d\u00f6rt ye\u015fil k\u00fcp \u015eekil - 2\u2019deki gibi taban y\u00fczlerinin tamam\u0131 \u00e7ak\u0131\u015facak bi\u00e7imde \u00fcst \u00fcste zemine yerle\u015f- tirilid\u011finde, levhan\u0131n bir kenar\u0131 \u00fcstteki ye\u015fil k\u00fcp\u00fcn bir ayr\u0131t\u0131 ile \u00e7ak\u0131\u015fm\u0131\u015ft\u0131r. Bu durumda mavi k\u00fcp ile zemine temas eden ye\u015fil k\u00fcp aras\u0131ndaki uzakl\u0131k 150 cm\u2019dir. \t \u015eekil - 1 150 cm \t Buna g\u00f6re bu k\u00fcplerden birinin bir ayr\u0131t\u0131n\u0131n uzunlu\u011fu ka\u00e7 santimetredir? \u015eekil - 2 A)\t 20\t B)\t30\t C)\t40\t D)\t50 6.\t Ayr\u0131t uzunluklar\u0131ndan ikisi santimetre cinsinden iki ba- 7.\t Ayr\u0131t uzunluklar\u0131 desimetre cinsinden birer do\u011fal say\u0131 samakl\u0131 en k\u00fc\u00e7\u00fck farkl\u0131 iki asal say\u0131ya; di\u011feri \u00e7ift asal ve birer yan y\u00fczlerinin alanlar\u0131 18 dm2 olan kare dik say\u0131ya e\u015fit olan dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki \u00f6z- prizma \u015feklindeki e\u015f beton bloklar ve bir tahta kulla- de\u015f iki blok a\u015fa\u011f\u0131daki gibi bir tanesinin bir y\u00fcz\u00fc di- n\u0131larak olu\u015fturulan k\u00f6pek e\u011fitim platformunun yandan \u011ferinin y\u00fcz\u00fcn\u00fcn bir k\u0131sm\u0131na \u00e7ak\u0131\u015f\u0131k olacak bi\u00e7imde g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131da verilmi\u015ftir. yerle\u015ftiriliyor. tahta A B 18 dm2 \t \t \t En \u00fcstteki beton blok taban\u0131 \u00fczerine, di\u011fer beton blok- \t Buna g\u00f6re bu \u015fekilde A ile B noktalar\u0131 aras\u0131na ge- lar ise yan y\u00fczleri \u00fczerine \u015fekildeki gibi yerle\u015ftirilmi\u015f- rilecek bir ipin e\u011fimi en az ka\u00e7t\u0131r? tir. A)\t 13 \t B)\t 9 \t C)\t 11 \t D)\t 9 \t Buna g\u00f6re bu platformdaki tahtan\u0131n e\u011fimi en fazla 15 11 15 13 ka\u00e7t\u0131r? A)\t 1\t B)\t 3 \t C)\t 11 \t D)\t 19 4 19 36 8. S\u0131n\u0131f 204","E\u015fitsizlikler TEST - 17 1.\t \u201cEcrin\u2019in ya\u015f\u0131 13\u2019ten b\u00fcy\u00fckt\u00fcr\u201d ifadesine uygun ma- 5.\t \u201cHangi say\u0131n\u0131n 5 eksi\u011finin yar\u0131s\u0131 19\u2019dan b\u00fcy\u00fckt\u00fcr?\u201d tematik c\u00fcmlesi a\u015fa\u011f\u0131dakilerden hangisidir? ifadesine uygun do\u011frusal e\u015fitsizlik a\u015fa\u011f\u0131dakiler- den hangisidir? A)\t 13 > x\t B) 13 < x C)\t 13 \u2265 x\t D) 13 \u2264 x A)\t x - 5 > 19\t B)\t x-5 < 19 2 2 C)\t x-5 > 19\t D)\t x-5 \u2265 19 2 2 2.\t \u201cAsya\u2019n\u0131n matematik dersine ait yaz\u0131l\u0131 puan\u0131 en \u00e7ok 100 olabilir.\u201d ifadesine uygun matematik c\u00fcmlesi a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 100 \u2264 x\t B)\t 100 > x 6.\t \t\t x+7 <8 C)\t 100 < x\t D)\t x \u2264 100 3 \t e\u015fitsizli\u011fini sa\u011flayan en b\u00fcy\u00fck tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 15\t B)\t16\t C)\t17\t D)\t18 3.\t \u201cEkin\u2019in balonlar\u0131n\u0131n say\u0131s\u0131 7\u2019den az de\u011fildir.\u201d ifade- 7.\t \t\t\t x\u22643 sine uygun matematik c\u00fcmlesi a\u015fa\u011f\u0131dakilerden hangisidir? A)\t x \u2264 7\t B)\t x < 7 \t e\u015fitsizli\u011fini sa\u011flayan ka\u00e7 tane do\u011fal say\u0131 de\u011feri C)\t x > 7\t D)\t 7 \u2264 x vard\u0131r? A)\t 1\t B)\t2\t C)\t3\t D)\t4 4.\t A\u015fa\u011f\u0131daki ifadelerden hangisinin matematik c\u00fcm- 8.\t 2 . (x \u2013 3) < x + 1 lesi \u201c3x \u2013 4 < 17\u201d olur? \t e\u015fitsizli\u011fi sa\u011flayan ka\u00e7 tane pozitif tam say\u0131 de- \u011feri vard\u0131r? A)\t Hangi say\u0131n\u0131n, 4 eksi\u011finin 3 kat\u0131 en az 17\u2019dir. B)\t Hangi say\u0131n\u0131n, 3 kat\u0131n\u0131n 4 eksi\u011fi 17\u2019den b\u00fcy\u00fckt\u00fcr. A)\t 6\t B)\t7\t C)\t8\t D)\t9 C)\tHangi say\u0131n\u0131n, 4 eksi\u011finin 3 kat\u0131 17\u2019den b\u00fcy\u00fckt\u00fcr. D)\tHangi say\u0131n\u0131n, 3 kat\u0131n\u0131n 4 eksi\u011fi 17\u2019den k\u00fc\u00e7\u00fckt\u00fcr. 205 8. S\u0131n\u0131f","TEST - 17 E\u015fitsizlikler 9.\t \t V 12.\tBir asans\u00f6r, en fazla 800 kg y\u00fck ta\u015f\u0131yabilmektedir. 30 kg\u2019l\u0131k kutular\u0131 \u00fcst kata \u00e7\u0131karacak olan bir i\u015f\u00e7i- nin, kendisi de 75 kg oldu\u011funa g\u00f6re beraberinde ta\u015f\u0131yabilece\u011fi kutular\u0131n say\u0131s\u0131 a\u015fa\u011f\u0131daki e\u015fitsiz- liklerden hangisi ile bulunabilir? SM A)\t 75x + 30 > 800 B)\t 75x + 30 \u2264 800 S`V%MSj = 2x - 10\u00b0 C)\t30 + 75x \u2265 800 \t SVM \u00fc\u00e7geni dar a\u00e7\u0131l\u0131 bir \u00fc\u00e7gen oldu\u011funa g\u00f6re x\u2019in D)\t75 + 30x \u2264 800 de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 5 < x\t B)\t x < 50 C)\t 5 < x < 40\t D)\t 5 < x < 50 13.\tAhmet\u2019in annesi kendi ya\u015f\u0131n\u0131: \u201cBaban\u0131n ya\u015f\u0131ndan k\u00fc- \u00e7\u00fck ve senin ya\u015f\u0131n\u0131n en az 3 kat\u0131d\u0131r.\u201d diyerek a\u00e7\u0131kl\u0131yor. \t Ahmet\u2019in babas\u0131 44 ve Ahmet 13 ya\u015f\u0131nda ise a\u015fa- \u011f\u0131dakilerden hangisi Ahmet\u2019in annesinin ya\u015f\u0131 ola- maz? A)\t 38\t B)\t39\t C)\t40\t D)\t41 10.\t11 < x e\u015fitsizli\u011finin okunu\u015fu a\u015fa\u011f\u0131dakilerden han- 14.\t \t\t gisidir? K\u0131z Erkek A)\t x, 11\u2019 den b\u00fcy\u00fckt\u00fcr. B)\t x, 11\u2019e e\u015fit ve b\u00fcy\u00fckt\u00fcr. C)\tx, 11\u2019e e\u015fit ve k\u00fc\u00e7\u00fckt\u00fcr. D)\tx, 11\u2019den k\u00fc\u00e7\u00fckt\u00fcr. Tek x x + 3 \u00c7ift 2x \u2013 4 5x \u2013 13 11.\t \t\t\t x+2 < 5 \t Tabloda tek y\u0131lda do\u011fanlar ve \u00e7ift y\u0131lda do\u011fanlar\u0131n sa- -3 y\u0131lar\u0131 verilmi\u015ftir. \t e\u015fitsizli\u011finde x\u2019in alabilece\u011fi en k\u00fc\u00e7\u00fck tam say\u0131 I.\t\u00c7ift y\u0131lda do\u011fan erkeklerin say\u0131s\u0131 tek y\u0131lda do\u011fan de\u011feri ka\u00e7t\u0131r? k\u0131zlar\u0131n say\u0131s\u0131ndan k\u00fc\u00e7\u00fck II.\tToplam erkek say\u0131s\u0131 k\u0131z say\u0131s\u0131ndan fazlad\u0131r. \t Verilenlere g\u00f6re tek y\u0131lda do\u011fan erkek say\u0131s\u0131 ka\u00e7- t\u0131r? A)\t \u201318\t B)\t\u201317\t C)\t\u201316\t D)\t\u201315 A)\t 3\t B)\t5\t C)\t6\t D)\t8 8. S\u0131n\u0131f 206","E\u015fitsizlikler TEST - 18 1.\t t \u2264 4 ve bir do\u011fal say\u0131 olmak \u00fczere; 4.\t 2x \u2013 1 \u2265 5 ve 4x \u2013 5 < x + 19 e\u015fitsizliklerini birlik- \t\t\t 2t +1 te sa\u011flayan ger\u00e7ek say\u0131 de\u011ferlerinin g\u00f6sterildi\u011fi 3 say\u0131 do\u011frusu a\u015fa\u011f\u0131dakilerden hangisidir? A) \t ifadesinin alabilece\u011fi en b\u00fcy\u00fck tam say\u0131 de\u011feri 38 ka\u00e7t\u0131r? B) A)\t 1\t B)\t2\t C)\t3\t D)\t4 38 C) 38 D) \t 38 2.\t x ve y birer tam say\u0131 5.\t \u20132 < \u2013x < 5 e\u015fitsizli\u011fini sa\u011flayan x de\u011ferlerinin \t \u20131\u2264x\u22644 say\u0131 do\u011frusu \u00fczerindeki g\u00f6sterimi a\u015fa\u011f\u0131dakiler- \t 2 < y \u2264 6 olmak \u00fczere; den hangisidir? \t 3x \u2013 2y + 5 ifadesinin en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri A) ka\u00e7t\u0131r? \u20132 A)\t \u201310\t B)\t\u20138\t C)\t\u20134\t D)\t0 0 B) 5 \u20132 C) 2 \u20135 D) \u20135 2 \t 3.\t 9 \u20131 \t Yukar\u0131daki say\u0131 do\u011frusunda koyu \u00e7izgiyle g\u00f6ste- 6.\t \t\t 3 (x + 1) \u2013 2 (x \u20131) < 17 \u2013 x rilen aral\u0131k a\u015fa\u011f\u0131daki e\u015fitsizliklerden hangisi ile ifade edilir? \t e\u015fitsizli\u011fini sa\u011flayan do\u011fal say\u0131lar\u0131n toplam\u0131 a\u015fa- \u011f\u0131dakilerden hangisidir? A)\t \u20131 < x \u2264 9\t B)\t \u20131 \u2264 x < 9 C)\t \u20131 \u2264 x \u2264 9\t D)\t \u20131 < x < 9 A)\t 10\t B)\t15\t C)\t21\t D)\t28 207 8. S\u0131n\u0131f","TEST - 18 E\u015fitsizlikler 7.\t \t\t x-1 < x+1 10.\tBir sat\u0131c\u0131 (3a + 20) TL\u2019ye ald\u0131\u011f\u0131 bir \u00fcr\u00fcn\u00fc zarar ile 3 4 (5a \u2013 90) TL\u2019ye satt\u0131\u011f\u0131na g\u00f6re bu mal\u0131n al\u0131\u015f fiyat\u0131 \t e\u015fitsizli\u011finin \u00e7\u00f6z\u00fcm k\u00fcmesini bulmak i\u00e7in yap\u0131lan i\u015f- tam say\u0131 olarak en \u00e7ok ka\u00e7t\u0131r? (a bir tam say\u0131d\u0131r.) lemler ad\u0131m ad\u0131m verilmi\u015ftir. A)\t 180\t B)\t182\t C)\t184\t D)\t185 1. ad\u0131m: 4 \u00b7 (x \u2013 1) < 3 \u00b7 (x + 1) 2. ad\u0131m: 4x \u2013 4 < 3x + 3 3. ad\u0131m: 4x \u2013 3x < 3 + 4 4. ad\u0131m: x < 7 \t Bu \u00e7\u00f6z\u00fcmde ilk hata ka\u00e7\u0131nc\u0131 ad\u0131mda yap\u0131lm\u0131\u015ft\u0131r? A)\t Hata yoktur\t B)\t1 11.\t Bir sat\u0131c\u0131 x TL\u2019ye ald\u0131\u011f\u0131 bir \u00fcr\u00fcn\u00fc y TL\u2019ye sat\u0131yor. C)\t 2\t D)\t3 \t x ile y aras\u0131nda y = 5x \u2013 1000 ba\u011f\u0131nt\u0131s\u0131 bulundu- \u011funa ve sat\u0131c\u0131n\u0131n zarar etti\u011fi bilindi\u011fine g\u00f6re x\u2019in de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? 8.\t \u201cHap bilgi: E\u015fitsizli\u011fin her iki taraf\u0131 negatif bir say\u0131 ile A)\t x > 200\t B)\t 200 < x < 250 C)\t x < 250\t D)\t 200 < x \u2264 250 \u00e7arp\u0131l\u0131r ya da b\u00f6l\u00fcn\u00fcrse e\u015fitsizlik y\u00f6n de\u011fi\u015ftirir.\u201d \t A\u015fa\u011f\u0131dakilerden hangisi verilen hap bilgiye g\u00f6re yanl\u0131\u015f \u00e7\u00f6z\u00fclm\u00fc\u015ft\u00fcr? A)\t \u2013x \u2013 2 < \u20135\t B)\t 2x \u2013 5 \u2264 3x + 2 \t \u2013x < \u2013 5 + 2\t\t 2x \u2013 3x \u2264 2 + 5 \t \u2013x < \u2013 3\t\t \u2013x \u2264 7 \t x > 3\t\t x \u2265 \u20137 C)\t 2.(x \u2013 1) < 4.(x \u2013 3)\t D)\t x+1 < 5 12.\tx < 0 < y oldu\u011funa g\u00f6re a\u015fa\u011f\u0131dakilerden hangi- -2 si yanl\u0131\u015ft\u0131r? \t 2x \u2013 2 < 4x \u2013 12\t\t x + 1 > \u201310 A)\t x < y\t B)\t x . y < 0 C)\t y \u2013 x > 0\t \t 2x \u2013 4x < \u201312+2\t\t x > \u201310 \u2013 1 D)\t x >0 y \t \u20132x \u2264 10\t\t x > \u201311 \t x \u2264 \u20135\t\t 9.\t \t\t\t x-1- x-3 <1 13.\tBozuk bir bask\u00fcl; \u00fczerindeki bir k\u00fctleyi ger\u00e7ek k\u00fctle- 3 4 sinden 3 kg\u2019a kadar daha fazla veya 7 kg\u2019a kadar daha \t e\u015fitsizli\u011finin \u00e7\u00f6z\u00fcm k\u00fcmesi a\u015fa\u011f\u0131dakilerden han- az g\u00f6sterebilmektedir. Bu bask\u00fcl\u00fcn 75 kg g\u00f6sterdi\u011fi gisidir? bir ki\u015finin ger\u00e7ek k\u00fctlesi \u201ca\u201d kg\u2019d\u0131r. \t Buna g\u00f6re a\u2019n\u0131n alabilece\u011fi en geni\u015f de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131daki e\u015fitsizliklerin hangisinde verilmi\u015ftir? A)\t x < \u20134\t B)\t x < 7 A)\t 63 \u2264 a \u2264 68\t B)\t 68 \u2264 x \u2264 78 C)\t x < 14\t D)\t x < 25 C)\t 72 \u2264 a \u2264 82\t D)\t 78 \u2264 a \u2264 82 8. S\u0131n\u0131f 208","E\u015fitsizlikler TEST - 19 1.\t Hakan \u00f6\u011fretmenin bir ders saatinde \u00e7\u00f6zd\u00fc\u011f\u00fc mate- 4.\t Kaptan pilot Kerem u\u00e7u\u015fa haz\u0131rl\u0131k s\u0131ras\u0131nda yapt\u0131\u011f\u0131 matik soru say\u0131s\u0131 12\u2019den fazla 18\u2019den azd\u0131r. konu\u015fmada; \t Buna g\u00f6re Hakan \u00f6\u011fretmenin 8 ders saatinde \t \u201cSay\u0131n yolcular\u0131m\u0131z en az 35000 fit, en \u00e7ok 69000 fit \u00e7\u00f6zm\u00fc\u015f oldu\u011fu soru say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden han- y\u00fckse\u011fe \u00e7\u0131kaca\u011f\u0131z.\u201d diye s\u00f6ylemi\u015ftir. (1 fit = 30 cm) gisi olamaz? \t Kaptan pilot Kerem\u2019in konu\u015fmas\u0131na g\u00f6re u\u00e7a\u011f\u0131n A)\t 121\t B)\t98\t C)\t135\t D)\t154 yerden y\u00fcksekli\u011fini km cinsinden g\u00f6steren e\u015fit- sizlik a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 9,5 \u2264 x \u2264 20,7\t B)\t 10,5 \u2264 x \u2264 20,7 2.\t \t\t \t C)\t 105 \u2264 x \u2264 207\t D)\t 1,05 \u2264 x \u2264 2,07 A B CD \t ABCD dikd\u00f6rtgeninin uzun kenar\u0131, k\u0131sa kenar\u0131n\u0131n uzunlu\u011funun 3 kat\u0131d\u0131r. \t Dikd\u00f6rtgenin \u00e7evresinin uzunlu\u011fu 60 cm\u2019den k\u00fc- \u00e7\u00fck ve kenarlar\u0131n\u0131n uzunluklar\u0131 birer do\u011fal say\u0131 oldu\u011funa g\u00f6re uzun kenar\u0131 en fazla ka\u00e7 cm ola- bilir? A)\t 27\t B)\t24\t C)\t21\t D)\t18 3.\t \t\t\t 5.\t Esin \u00f6\u011fretmen g\u00fcnde en az 75 dakika, en \u00e7ok 90 da- kika spor yapmaktad\u0131r. \t Esin \u00f6\u011fretmenin 6 g\u00fcnde ka\u00e7 saat spor yapt\u0131\u011f\u0131n\u0131 g\u00f6steren e\u015fitsizlik a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 7,5 < x \u2264 9\t B)\t 7,5 \u2264 x < 9 C)\t 7,5 < x < 9\t D)\t 7,5 \u2264 x \u2264 9 5m \t Yar\u0131\u00e7ap\u0131 3 m olan daire \u015feklindeki bir hedef tahtas\u0131na 6.\t Bir bilgisayar\u0131n \u015farj\u0131 %25 iken 5 saat \u00e7al\u0131\u015fmaktad\u0131r. at\u0131\u015f yapan Melisa\u2019n\u0131n att\u0131\u011f\u0131 ok hedef tahtas\u0131na sapla- n\u0131yor. \t Buna g\u00f6re \u015farj\u0131n\u0131n doluluk oran\u0131 %80\u2019den fazla olan bilgisayar en az ka\u00e7 dakika \u00e7al\u0131\u015fabilir? \t Okun yerden y\u00fcksekli\u011fini g\u00f6steren e\u015fitsizlik a\u015fa- \u011f\u0131dakilerden hangisidir? A)\t 959\t B)\t960\t C)\t961\t D)\t962 A)\t 5 \u2264 x \u2264 8\t B)\t 5 < x \u2264 11 C)\t 5 \u2264 x < 8\t D)\t 5 \u2264 x \u2264 11 209 8. S\u0131n\u0131f","TEST - 19 E\u015fitsizlikler 7.\t Her biri 0,3 lt su alan bardaklar bir s\u00fcrahideki su ile 10.\tBir telefon firmas\u0131 m\u00fc\u015fterilerine a\u015fa\u011f\u0131da verilen 3 dolduruluyor. farkl\u0131 tarife paketini sunuyor. \t Yedinci bardak tam dolmad\u0131\u011f\u0131na g\u00f6re s\u00fcrahideki \t I. Tarife: Ayl\u0131k 25 TL sabit \u00fccret ve her dakika i\u00e7in 1 su miktar\u0131 a\u015fa\u011f\u0131dakilerden hangisi olabilir? kuru\u015f \u00fccretlendirme A)\t 1,7 lt\t B)\t1,9 lt\t C)\t 2,2 lt\t D)\t2,3 lt \t II. Tarife: Her bir dakika kullan\u0131m i\u00e7in 5 kuru\u015f \u00fccret- lendirme (Ayl\u0131k sabit \u00fccret yok) 8.\t \u201cCemil\u2019in paras\u0131n\u0131n 2 kat\u0131n\u0131n 9 eksi\u011finin 1 \u2019\u00fc 7\u2019den 3 \t III. Tarife: Ayl\u0131k 20 TL sabit \u00fccret ve 200 dakika g\u00f6- azd\u0131r.\u201d r\u00fc\u015fmeden sonra her 1 dakika i\u00e7in 2 kuru\u015f \u00fccretlen- dirme (200 dakika ve alt\u0131 kullan\u0131m i\u00e7in sadece sabit \t Matematik c\u00fcmlesinin say\u0131 do\u011frusunda g\u00f6sterimi \u00fccret) a\u015fa\u011f\u0131dakilerden hangisidir? \t Bu telefon \u015firketine gelen bir m\u00fc\u015fteri ayda ortalama A) 8 500 dk g\u00f6r\u00fc\u015fme yapt\u0131\u011f\u0131n\u0131 s\u00f6yl\u00fcyor. 0 \t Bu m\u00fc\u015fterinin I. , II. ve III tarifeleri tercih etmesi duru- munda \u00f6deyece\u011fi ayl\u0131k \u00fccretler s\u0131ras\u0131yla A,B ve C TL olarak hesaplan\u0131yor. \t Buna g\u00f6re, a\u015fa\u011f\u0131daki s\u0131ralamalardan hangisi do\u011frudur? B) 13 A)\t B < C < A\t B)\t C < B < A 0 C)\t A < C < B\t D)\t B < A < C C) 15 0 D) 0 7 11.\t x ve y birer tam say\u0131 olmak \u00fczere, \t 2\u2264x\u22645 \u20136 \u2264 y \u2264 4 e\u015fitsizlikleri veriliyor. \t 3x \u2013 y ifadesinin alabilece\u011fi en b\u00fcy\u00fck de\u011fer ka\u00e7- t\u0131r? 9.\t \t A A)\t 9\t B)\t19\t C)\t20\t D)\t21 2x \u2013 30 C 12.\tBilal \u00d6\u011fretmen kendisine sorulan 110 soruyu g\u00fcnde B en az 2 tane, en fazla 5 tane \u00e7\u00f6zerek 4 haftada \u00e7\u00f6z- \t ABC \u00fc\u00e7geninde m`A%BCj a\u00e7\u0131s\u0131 geni\u015f a\u00e7\u0131 oldu\u011funa meyi planl\u0131yor. g\u00f6re, x\u2019in de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131dakilerden hangisi- dir? \t \u0130lk 3 hafta boyunca g\u00fcnde 4 soru \u00e7\u00f6zen Bilal \u00d6\u011fret- men, kalan 1 haftada sorular\u0131n tamam\u0131n\u0131 \u00e7\u00f6zm\u00fc\u015ft\u00fcr. A)\t 60 < x < 105\t B)\t 60 < x < 75 C)\t 90 < x < 105\t D)\t 120 < x < 180 \t Buna g\u00f6re g\u00fcnde 5 tane soru \u00e7\u00f6zd\u00fc\u011f\u00fc g\u00fcn say\u0131s\u0131 en fazla ka\u00e7t\u0131r? A)\t 3\t B)\t4\t C)\t5\t D)\t6 8. S\u0131n\u0131f 210","E\u015fitsizlikler TEST - 20 1.\t S\u00fcleyman bir i\u015fi yaln\u0131z ba\u015f\u0131na 12 saatte, Neriman 15 4.\t A\u015fa\u011f\u0131daki tabloda bir otob\u00fcsteki bo\u015f koltuk say\u0131s\u0131 a saatte, Leman ise 9 saatte yapmaktad\u0131r. oldu\u011funda bilet \u00fccretleri verilmi\u015ftir. \t Buna g\u00f6re, bu ki\u015filerin i\u015fi yap\u0131\u015f h\u0131zlar\u0131na g\u00f6re \t Tablo: Bo\u015f koltuk say\u0131s\u0131na g\u00f6re bilet \u00fccretleri do\u011fru s\u0131ralamas\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? 50 TL 36 < a \u2264 45 A)\t L < N < S\t B)\t L < S < N 55 TL 25 < a \u2264 36 C)\t S < N < L\t D)\t N < S < L 60 TL 12 < a \u2264 25 65 TL 0 < a \u2264 12 \t Bu otob\u00fcs firmas\u0131ndan ayn\u0131 anda d\u00f6rt bilet alan bir ki\u015fi, 225 TL \u00f6dedi\u011finde otob\u00fcste kalan bo\u015f kontenjan say\u0131s\u0131 ka\u00e7 olur? A)\t 19\t B)\t24\t C)\t26\t D)\t31 2.\t Bir kolide 80 ile 120 adet aras\u0131nda de\u011fi\u015fen k\u0131rm\u0131z\u0131 ve 5.\t 0 < x < 1 mavi renkli kalemler vard\u0131r. K\u0131rm\u0131z\u0131 renkli kalemlerin \t a= x say\u0131s\u0131 mavi renkli kalemlerin say\u0131s\u0131n\u0131n 4 kat\u0131ndan 20 fazlad\u0131r. \t b=x \t Buna g\u00f6re mavi renkli kalemlerin say\u0131s\u0131n\u0131n bulun- \t c = 1 du\u011fu aral\u0131k a\u015fa\u011f\u0131dakilerden hangisidir? x \t oldu\u011funa g\u00f6re, a\u015fa\u011f\u0131daki s\u0131ralamalardan hangisi A)\t 12 < x < 20\t B)\t 18 < x < 24 do\u011frudur? C)\t 15 < x < 25\t D)\t 20 < x < 28 A)\t b < a < c\t B)\t c < b < a C)\t a < b < c\t D)\t a < c < b 6.\t Al\u0131\u015f Sat\u0131\u015f 2x + 5 3x \u2013 15 \t x+5 2x \u2013 25 A \u00fcr\u00fcn\u00fc B \u00fcr\u00fcn\u00fc 3.\t \t\ta = 8 + b Bir esnaf\u0131n sat\u0131\u015f yapt\u0131\u011f\u0131 A ve B \u00fcr\u00fcnlerinin al\u0131\u015f ve sa- t\u0131\u015f fiyatlar\u0131 tablodaki gibidir. Esnaf A \u00fcr\u00fcn\u00fcnden k\u00e2r, \t\t\tb = 4 3 B \u00fcr\u00fcn\u00fcnden zarar etmektedir. \t oldu\u011funa g\u00f6re a\u2019n\u0131n alaca\u011f\u0131 de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131- \t Buna g\u00f6re B \u00fcr\u00fcn\u00fcn\u00fcn al\u0131\u015f fiyat\u0131 a\u015fa\u011f\u0131dakilerden dakilerden hangisidir? hangisi olabilir? A)\t 12 < a < 13\t B)\t 13 < a < 14 A)\t 20\t B)\t30\t C)\t40\t D)\t50 C)\t 14 < a < 15\t D)\t 15 < a < 16 211 8. S\u0131n\u0131f","TEST - 20 E\u015fitsizlikler 7.\t Bir k\u0131rtasiyede kalem k, silgi s, defter d TL\u2019den sat\u0131l- 9.\t \t\t maktad\u0131r. 1 < 1 3x - 7 2x + 1 \t A\u015fa\u011f\u0131daki tabloda Selami, Hayati, Memati\u2019nin bu k\u0131r- tasiyeden ald\u0131klar\u0131 kalem, silgi defter say\u0131lar\u0131 g\u00f6ste- \t e\u015fitsizli\u011fini sa\u011flayan en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri rilmi\u015ftir. ka\u00e7t\u0131r? Kalem Silgi Defter Selami 2 3 2 A)\t 7\t B)\t8\t C)\t9\t D)\t10 Hayati 2 2 3 \t Memati 3 2 2 \t Ald\u0131klar\u0131 \u00fcr\u00fcnler i\u00e7in en az paray\u0131 Hayati, en \u00e7ok paray\u0131 Selami \u00f6dedi\u011fine g\u00f6re, a\u015fa\u011f\u0131daki s\u0131rala- malardan hangisi do\u011frudur? A)\t s < d < k\t B)\t d < k < s 10.\t \t\t C)\t k < s < d\t D)\t s < k < d x > 9 4 8.\t \u015eekil I ve \u015eekil II de g\u00f6sterilen terazilerin kefelerine \t ifadesi a\u015fa\u011f\u0131dakilerden hangisine denktir? \u00f6zde\u015f metal bloklar ve \u00fczerinde a\u011f\u0131rl\u0131\u011f\u0131 yazan a\u011f\u0131r- A)\t x < 5\t B)\t x < 36 l\u0131klar konuldu\u011funda terazilerin \u015fekli a\u015fa\u011f\u0131daki gibi ol- D)\t x > 36 maktad\u0131r. C)\t x > 4 \t 9 1 11.\t A\u015fa\u011f\u0131daki tabloda A ve B meslek kurslar\u0131n\u0131n teorik 8 11 ve uygulama dersleri i\u00e7in belirledi\u011fi \u00fccret tarifesi ve- \u015eekil I rilmi\u015ftir. 666 Dersler A kursu B kursu Teorik Toplam 480 Toplam 360 Uygulama TL TL Her saat i\u00e7in Her saat i\u00e7in 10 TL 15 TL \t Teorik dersleri alman\u0131n zorunlu oldu\u011fu bu iki meslek kursundan A kursunun daha ekonomik \t \u015eekil II olmas\u0131 i\u00e7in en az ka\u00e7 saat uygulama dersi veril- melidir? \t Buna g\u00f6re bir tane metal blo\u011fun a\u011f\u0131rl\u0131\u011f\u0131 a\u015fa\u011f\u0131da- kilerden hangisi olabilir? A)\t 22\t B)\t23\t C)\t24\t D)\t25 A)\t 9\t B)\t10\t C)\t11\t D)\t12 8. S\u0131n\u0131f 212","E\u015fitsizlikler TEST - 21 1.\t 4.\t \t\t\t (6a \u2013 24) cm 1 < 1 (3a + 3) cm 3x 81 \t oldu\u011funa g\u00f6re x\u2019in en k\u00fc\u00e7\u00fck pozitif tam say\u0131 de- \u011feri ka\u00e7t\u0131r? \u00d6yk\u00fc Kartal A)\t 2\t B)\t3\t C)\t4\t D)\t5 \t Kartal, \u00d6yk\u00fc\u2019den uzun oldu\u011funa g\u00f6re, a\u015fa\u011f\u0131daki- lerden hangisi t\u00fcm a say\u0131lar\u0131 i\u00e7in do\u011frudur? A)\t a < 9\t B)\t a > 9 C)\t 4 < a < 9\t D)\t 4 < a < 7 5.\t K\u00fctleleri bilinmeyen K, L ve M kutular\u0131 e\u015fit kollu tera- zilerde modellenmi\u015ftir. L MK M \t 2.\t \t\t\t \t Buna g\u00f6re K, L, M kutular\u0131n\u0131n k\u00fctlelerinin k\u00fc\u00e7\u00fck- ten b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralan\u0131\u015f\u0131 a\u015fa\u011f\u0131dakilerden han- 1 x + 1 1 2x - 5 gisidir? 3 3 c m < c m \t oldu\u011funa g\u00f6re x\u2019in en b\u00fcy\u00fck tam say\u0131 de\u011feri a\u015fa- A)\t M < L < K\t B)\t L < M < K \u011f\u0131dakilerden hangisidir? C)\t K < L < M\t D)\t K < M < L A)\t 7\t B)\t6\t C)\t5\t D)\t4 6.\t TABLO: Telefon firmas\u0131na ait iki tarife ve \u00fccretleri 3.\t K LMN I. Tarife Ayl\u0131k her y\u00f6ne 6 saat g\u00f6r\u00fc\u015fmeye 200 250 100 400 kadar 25 TL, 6 saat sonras\u0131nda ise her Marketler 26 29 12 50 dakika i\u00e7in her y\u00f6ne 25 kurus \u015eeker (gram) Ayl\u0131k her y\u00f6ne 5 saat g\u00f6r\u00fc\u015fmeye II. Tarife kadar 20 TL, 5 saat sonras\u0131nda ise her Sat\u0131\u015f Fiyat\u0131 (TL) dakika i\u00e7in her y\u00f6ne 15 kurus \t Yukar\u0131daki tabloda K, L, M, N marketlerinde sat\u0131lan \t S\u00fcleyman, yukar\u0131da verilen iki tarifeden birisini kulla- ayn\u0131 kalitedeki \u015fekerin farkl\u0131 gramlar\u0131n\u0131n fiyatlar\u0131 ve- nacakt\u0131r. rilmi\u015ftir. \t Buna g\u00f6re, S\u00fcleyman en az ka\u00e7 dakika konu\u015fursa \t Hangi marketten 1 kg \u015feker al\u0131n\u0131rsa daha k\u00e2rl\u0131 bir II. tarife ile \u00f6deyece\u011fi fatura \u00fccreti daha ekonomik al\u0131\u015fveri\u015f ger\u00e7ekle\u015ftirilmi\u015f olur? olur? A)\t K\t B)\tL\t C)\tM\t D)\tN A)\t 399\t B)\t400\t C)\t401\t D)\t402 213 8. S\u0131n\u0131f","TEST - 21 E\u015fitsizlikler 7.\t A\u015fa\u011f\u0131daki tabloda A ve B \u015firketlerinde \u00e7al\u0131\u015fan i\u015f\u00e7ilere \u00f6denen haftal\u0131k \u00fccretler ile yemek ve yol \u00fccretlerine ait bil- giler verilmi\u015ftir. \t Tablo: \u015eirketlerin \u00c7al\u0131\u015fanlar\u0131na \u00d6dedikleri \u00dccretler Haftal\u0131k \u00dccret (TL) G\u00fcnl\u00fck Yemek G\u00fcnl\u00fck Yol \u00dccreti \u00dccreti (TL) (TL A 600 20 x B 700 10 y \t Her iki \u015firkette de i\u015f\u00e7iler sadece hafta i\u00e7i \u00e7al\u0131\u015fmakta ve yol yemek \u00fccretleri sadece i\u015fe gelinen g\u00fcnler i\u00e7in \u00f6denmek- tedir. \t B \u015firketinde \u00e7al\u0131\u015fan bir i\u015f\u00e7iye bir hafta boyunca \u00f6denen toplam \u00fccret, A \u015firketinde \u00e7al\u0131\u015fan i\u015f\u00e7iye \u00f6denenden daha fazlad\u0131r. \t Buna g\u00f6re x ile y aras\u0131nda a\u015fa\u011f\u0131daki ili\u015fkilerden hangisi kesinlikle do\u011frudur? A)\t x \u2013 y < 10\t B)\t x \u2013 y > 15\t C)\t x \u2013 y < 50\t D)\t x \u2013 y > 10 8.\t 9.\t Bir i\u015fyerinde maa\u015f zamm\u0131 i\u00e7in iki se\u00e7enek \u00f6nerilmi\u015ftir. \u015eekil 1 \t 1. Se\u00e7enek : Maa\u015f\u0131n %25\u2019i kadar zam \t 2. Se\u00e7enek : Net 300 lira zam \t Maa\u015f\u0131 A lira olan bir i\u015f\u00e7i i\u00e7in 1. se\u00e7enek, maa\u015f\u0131 B lira olan bir i\u015f\u00e7i i\u00e7in 2. se\u00e7enek daha k\u00e2rl\u0131 oldu\u011fu- na g\u00f6re A ve B aras\u0131ndaki ba\u011f\u0131nt\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A)\t B < A < 1200\t B)\t B < 1200 < A C)\t A < 1500 < B\t D)\t B < 300 < A \u015eekil 2 = 5x \u2013 1 = 4x + 9 \t \u015eekil 1\u2019de dengede bulunan terazinin kefelerine (5x\u20131) kg ve (4x+9) kg\u2019l\u0131k birer k\u00fctle eklendi\u011finde te- razi II. \u015fekildeki konumunu al\u0131yor. \t Buna g\u00f6re x\u2019in alabilece\u011fi en k\u00fc\u00e7\u00fck tam say\u0131 de- \u011feri ka\u00e7t\u0131r? A)\t 9\t B)\t10\t C)\t11\t D)\t12 8. S\u0131n\u0131f 214","E\u015fitsizlikler TEST - 22 1.\t 2. yol 3.\t \t\t\t 1. yol Ev 3. yol Okul \t Bir okul servisi \u00fc\u00e7 farkl\u0131 yoldan okula gitmektedir. 1. \t Bir telefonun al\u0131\u015f fiyat\u0131 x TL, sat\u0131\u015f fiyat\u0131 y TL\u2019dir. yol (x \u2013 3) km, 2. yol (2x \u2013 7) km ve 3. yol (14 \u2013 x) km \t x ile y aras\u0131nda; uzunlu\u011fundad\u0131r. \t x = 4y \u2013 300 \t ba\u011f\u0131nt\u0131s\u0131 bulunmaktad\u0131r. \t Birinci yolun uzunlu\u011fu en k\u0131sa, \u00fc\u00e7\u00fcnc\u00fc yolun \t Bu telefonun sat\u0131\u015f\u0131ndan k\u00e2r edildi\u011fine g\u00f6re, y\u2019nin uzunlu\u011fu en uzun oldu\u011funa g\u00f6re, x\u2019in bulundu- \u011fu de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? alabilece\u011fi de\u011fer aral\u0131\u011f\u0131 a\u015fa\u011f\u0131dakilerden hangisi- dir? A)\t 4 < x < 7\t B)\t 3 < x < 5\t C)\t 4 < x < 9\t D)\t 0 < x < 7 A)\t y < 100\t B)\t 100 < y < 120 C)\t 80 < y < 120\t D)\t 100 > y > 75 4.\t 2.\t Bir otelin her bir kat\u0131ndaki oda say\u0131s\u0131n\u0131n, odalar\u0131n bu- lundu\u011fu kat\u0131n numaras\u0131na g\u00f6re de\u011fi\u015fimini g\u00f6steren tablo a\u015fa\u011f\u0131daki gibidir. \t Tablo: Kat Numaras\u0131na G\u00f6re Kattaki Oda Say\u0131s\u0131 Kat Numaras\u0131 (x) Kattaki Oda Say\u0131s\u0131 \t Bir otoparkta park \u00fccreti olarak ilk 5 saat i\u00e7in saatte 40 1\u2264x<8 120 \u2013 5x lira, sonraki her saat i\u00e7in 20 lira al\u0131n\u0131yor. Bu otoparka 8 \u2264 x < 15 40 + 5x arac\u0131n\u0131 park eden Sad\u0131k Bey\u2019in en fazla 400 lira park \u00fccreti \u00f6dedi\u011fi biliniyor. \t Buna g\u00f6re, bu otelde 3. kattaki oda say\u0131s\u0131 10. kat- taki oda say\u0131s\u0131ndan ka\u00e7 fazlad\u0131r? \t Buna g\u00f6re, Sad\u0131k Bey\u2019in otopark\u0131 kullanma s\u00fcresi en fazla ka\u00e7 saattir? A)\t 10\t B)\t15\t C)\t20\t D)\t25 A)\t 9\t B)\t10\t C)\t12\t D)\t15 215 8. S\u0131n\u0131f","TEST - 22 E\u015fitsizlikler 5.\t Sevim Han\u0131m, evinin 280 cm geni\u015fli\u011findeki penceresi i\u00e7in perde yapt\u0131rmak istemektedir. 280 cm \t Perdeciye aralar\u0131nda 3\u2019er cm bo\u015fluk olacak ve penceresinin her iki yan\u0131ndan da en \u00e7ok 15 cm ta\u015facak \u015fekilde ayn\u0131 geni\u015flikte d\u00f6rt stor perde sipari\u015f etmi\u015ftir. \t 3 cm 3 cm 3 cm \t Buna g\u00f6re, perdecinin haz\u0131rlamas\u0131 gereken her bir stor perdenin geni\u015fli\u011finin santimetre cinsinden alabi- lece\u011fi en b\u00fcy\u00fck tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 74\t B)\t75\t C)\t76\t D)\t77 6.\t \t\t\t 7.\t \t\t\t xy \t Bir sat\u0131c\u0131 birim maliyetleri x TL ve y TL olan iki tele- \t x TL\u2019ye ald\u0131\u011f\u0131 bir g\u00f6mle\u011fi, (2x \u2013 150) TL\u2019ye satan fondan birincisini %40 k\u00e2rla, ikincisini de %20 zararla bir esnaf\u0131n, k\u00e2r\u0131n\u0131n en fazla %25 olmas\u0131 i\u00e7in g\u00f6m- sat\u0131yor. le\u011fin al\u0131\u015f fiyat\u0131n\u0131n en fazla ka\u00e7 TL olmas\u0131 gerekir? \t Sat\u0131c\u0131, bu telefonlardan birer tane satt\u0131\u011f\u0131 zaman A)\t 190\t B)\t200\t C)\t210\t D)\t220 sat\u0131\u015ftan k\u00e2r etti\u011fine g\u00f6re, x ve y aras\u0131ndaki ba- \u011f\u0131nt\u0131lardan hangisi kesinlikle sa\u011flan\u0131r? y B)\t x > 2y A)\t x > 2 \t D)\t 4y < x y C)\t 4 < x\t 8. S\u0131n\u0131f 216","E\u015fitsizlikler TEST - 23 1.\t \t Bir fabrika \u00fcretti\u011fi 70 arac\u0131n nakliyesi i\u00e7in iki farkl\u0131 kapasitede t\u0131r ile ta\u015f\u0131ma yapan bir firma ile g\u00f6r\u00fc\u015fm\u00fc\u015ft\u00fcr. Firma- n\u0131n sahip oldu\u011fu ara\u00e7 say\u0131s\u0131, ara\u00e7 ba\u015f\u0131 ald\u0131\u011f\u0131 \u00fccret ve ta\u015f\u0131ma kapasitesi a\u015fa\u011f\u0131daki tabloda verilmi\u015ftir. Ta\u015f\u0131d\u0131\u011f\u0131 Ara\u00e7 Say\u0131s\u0131 Ara\u00e7 Ba\u015f\u0131 \u00d6denen \u00dccret (TL) T\u0131r Say\u0131s\u0131 8 750 5 6 1250 6 D) 72 500 \t Buna g\u00f6re fabrikan\u0131n nakliye i\u00e7in \u00f6deyece\u011fi \u00fccret en az ka\u00e7 TL\u2019dir? A) 64 000\t B) 67 500\t C) 68 250\t 2.\t Bir mal\u0131n maliyeti x TL ve sat\u0131\u015f fiyat\u0131 y TL\u2019dir. 3.\t \t Bu mal\u0131n sat\u0131\u015f fiyat\u0131n\u0131n hesaplanabilmesi i\u00e7in; x TL y TL I.\ty = 2x \u2013 90 II.\ty = x + 50 \t Bir sat\u0131c\u0131, x TL\u2019ye ald\u0131\u011f\u0131 bir televizyonu, k\u00e2rla 1200 TL\u2019ye; y TL\u2019ye ald\u0131\u011f\u0131 telefonuda zararla 1200 TL\u2019ye sa- \t bi\u00e7iminde iki ba\u011f\u0131nt\u0131 \u00f6nerilmi\u015ftir. t\u0131yor. \t Mal\u0131n tamam\u0131 sat\u0131labildi\u011fine ve sat\u0131\u015f fiyat\u0131n\u0131n he- \t Buna g\u00f6re, x ve y fiyatlar\u0131yla ilgili a\u015fa\u011f\u0131daki ba- saplanmas\u0131nda II. ba\u011f\u0131nt\u0131y\u0131 kullanmak daha k\u00e2r- \u011f\u0131nt\u0131lardan hangisi do\u011frudur? l\u0131 oldu\u011funa g\u00f6re, x i\u00e7in a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? A)\t x < 140\t B)\t 45 < x < 140 C)\t 90 < x < 140\t D)\t 70 < x < 160 A)\t y < x < 1200\t B)\t x < y < 1200 C)\t x < 1200 < y\t D)\t y < 1200 < x 217 8. S\u0131n\u0131f","TEST - 23 E\u015fitsizlikler 4.\t Kasas\u0131n\u0131n yerden y\u00fcksekli\u011fi 1,6 metre olan kamyo- 5.\t Bir i\u015fyerinde \u00e7al\u0131\u015fanlar\u0131n maa\u015flar\u0131 \u00fc\u00e7 se\u00e7enek do\u011f- nette k\u00fcp \u015feklindeki e\u015f kolilerden \u00fcst \u00fcste alt\u0131 s\u0131ra rultusunda g\u00fcncellenecektir. Bu se\u00e7eneklerden her- y\u00fcklenmi\u015ftir. hangi ikisi \u00e7al\u0131\u015fanlara teklif ediliyor. \t 1. Se\u00e7enek\t :\t Eski maa\u015f\u0131n\u0131n 2 kat\u0131n\u0131n 3400 TL eksi\u011fi kadar maa\u015f 2. Se\u00e7enek\t :\t Eski maa\u015f\u0131n\u0131n 7200 TL fazlas\u0131 kadar maa\u015f 3. Se\u00e7enek\t :\t Eski maa\u015f\u0131n\u0131n 9600 TL fazlas\u0131 kadar maa\u015f \t 1,6 m \t Bu i\u015f yerinde \u00e7al\u0131\u015fan Kemal Bey, 1. se\u00e7enek ile 2. se- \u00e7enek aras\u0131ndan 1. se\u00e7ene\u011fi tercih edece\u011fini, 1. se- \t Bu kamyonet, gidece\u011fi yol \u00fcst\u00fcndeki y\u00fckseklik s\u0131n\u0131r\u0131 \u00e7enek ile 3. se\u00e7enek aras\u0131ndan ise 3. se\u00e7ene\u011fi tercih 4,2 m olan yaya ge\u00e7idinin alt\u0131ndan yaya ge\u00e7idine de\u011f- edece\u011fini s\u00f6ylemi\u015ftir. meden ge\u00e7ebilmektedir. \t Buna g\u00f6re, Kemal Bey\u2019in eski maa\u015f\u0131 a\u015fa\u011f\u0131dakiler- den hangisi olabilir? A)\t 9800\t B)\t 10 600\t C)\t 11 700\t D)\t12 300 4,2 m 6.\t Bir asans\u00f6r, i\u00e7inde yer alan ki\u015filerin a\u011f\u0131rl\u0131klar\u0131 toplam\u0131 y\u00fck ta\u015f\u0131ma kapasitesini ge\u00e7erse uyar\u0131 vermektedir. \t Buna g\u00f6re, kolilerin bir ayr\u0131t uzunlu\u011funun san- \t timetre cinsinden alabilece\u011fi en b\u00fcy\u00fck tam say\u0131 \t Bo\u015f olan bu asans\u00f6re; a\u011f\u0131rl\u0131klar\u0131 32, 47, 70, 75 ve 77 de\u011feri ka\u00e7t\u0131r? kilogram olan be\u015f ki\u015fiden hangi d\u00f6rd\u00fc binerse bin- A)\t 41\t B)\t42\t C)\t43\t D)\t44 sin asans\u00f6r\u00fcn uyar\u0131 verdi\u011fi, hangi \u00fc\u00e7\u00fc binerse binsin asans\u00f6r\u00fcn uyar\u0131 vermedi\u011fi g\u00f6r\u00fclm\u00fc\u015ft\u00fcr. \t Buna g\u00f6re, bu asans\u00f6r\u00fcn y\u00fck ta\u015f\u0131ma kapasitesi kilogram t\u00fcr\u00fcnden a\u015fa\u011f\u0131dakilerden hangisi ola- bilir? A)\t 224\t B)\t223\t C)\t222\t D)\t221 8. S\u0131n\u0131f 218","E\u015fitsizlikler TEST - 24 1.\t A\u015fa\u011f\u0131daki yak\u0131t g\u00f6stergelerinde ibrenin ucu 0\u2019\u0131 g\u00f6sterdi\u011finde yak\u0131t deposunun tamam\u0131n\u0131n bo\u015f oldu\u011fu, 1\u2019i g\u00f6sterdi- \u011finde tamamen dolu oldu\u011fu ve 0 ile 1 aras\u0131na e\u015fit aral\u0131klarla konulan \u00e7izgilerden herhangi birini g\u00f6sterdi\u011finde ise ka\u00e7ta ka\u00e7\u0131n\u0131n dolu oldu\u011fu anla\u015f\u0131lmaktad\u0131r. 1 1 1 123 123 1 23 44 44 44 01 01 01 Deponun tamam\u0131 Deponun tamam\u0131 Deponun 1 \u2019i bo\u015f dolu dolu 4 \t \t Deposu 60 litre yak\u0131t alabilen bir arac\u0131n ba\u015flang\u0131\u00e7ta deposunda 55 litre yak\u0131t bulunmaktad\u0131r. Bu ara\u00e7 x litre yak\u0131t t\u00fc- kettikten sonra yak\u0131t g\u00f6stergesindeki ibrenin ucu 1 ile 3 aras\u0131ndaki bir de\u011feri g\u00f6stermektedir. 2 4 \t Buna g\u00f6re arac\u0131n t\u00fcketti\u011fi yak\u0131t miktar\u0131n\u0131 litre cinsinden g\u00f6steren e\u015fitsizlik a\u015fa\u011f\u0131dakilerden hangisidir? A)\t 10 < x < 25\t B)\t 5 < x < 15\t C)\t 15 < x < 25\t D)\t 5 < x < 25 2.\t A\u015fa\u011f\u0131da A ve B bitkilerinin boylar\u0131n\u0131n uzunluklar\u0131 ve- 3.\t Boyu 300 cm olan \u00e7am a\u011fac\u0131n\u0131n boy uzunlu\u011funa g\u00f6re rilmi\u015ftir. de\u011fi\u015fen ayl\u0131k uzama miktar\u0131 tabloda verilmi\u015ftir. \t A bitkisinin boyu her ay 4 cm uzarken B bitkisinin boyu \t Tablo: Uzama Miktar\u0131 her ay 6 cm uzamaktad\u0131r. Boy Uzunlu\u011fu (cm) Uzama Miktar\u0131 (cm) 1444444442444444443 300 \u2264 x < 320 \u00ca225 320 \u2264 x < 350 \u00ca256 48 cm 350 \u2264 x < 380 \u00ca324 14442444315 cm 380 \u2264 x < 400 \u00ca361 400 \u2264 x < 420 \u00ca400 \t A bitkisi B bitkisi \t Buna g\u00f6re ka\u00e7\u0131nc\u0131 aydan itibaren B bitkisinin 420 \u2264 x \u00ca441 boyu A bitkisinin boyundan fazla olur? \t Buna g\u00f6re 9. ay sonunda a\u011fac\u0131n boy uzunlu\u011fu A)\t 17\t B)\t16\t C)\t15\t D)\t14 ka\u00e7 cm olur? A)\t 460\t B)\t459\t C)\t458\t D)\t457 219 8. S\u0131n\u0131f","TEST - 24 E\u015fitsizlikler 4.\t A\u015fa\u011f\u0131da bir market raf\u0131nda bulunan ayn\u0131 marka zeytinya\u011f\u0131na ait iki farkl\u0131 a\u011f\u0131rl\u0131kta ve fiyatlar\u0131 verilmi\u015ftir. 5L 10L \t (4x + 20) TL (9x \u2013 10) TL \t Al\u0131\u015fveri\u015f yapan bir ki\u015fi i\u00e7in 10 litrelik zeytinya\u011f\u0131n\u0131n birim maliyeti daha az oldu\u011funa g\u00f6re, x\u2019in alabilece\u011fi en b\u00fcy\u00fck tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 51\t B)\t50\t C)\t49\t D)\t48 5.\t Ara\u00e7 park sens\u00f6rleri 80 santimetreden az temas mesafesi kald\u0131\u011f\u0131nda devreye girer ve s\u00fcr\u00fcc\u00fcy\u00fc aral\u0131kl\u0131 sinyal ses- leri ile uyar\u0131r. Temas edece\u011fi nesne ile aras\u0131ndaki mesafe azald\u0131k\u00e7a duyulan sinyal seslerinin aral\u0131\u011f\u0131 k\u0131sal\u0131r. Uyar\u0131 sesi sabit olarak duyuldu\u011funda ara\u00e7 ile nesne aras\u0131nda 40 cm veya 40 cm\u2019den az mesafe kalm\u0131\u015ft\u0131r. \t \t B\u00fclent Bey arac\u0131n\u0131, g\u00f6rseldeki A ve B ara\u00e7lar\u0131n\u0131n aras\u0131na park ediyor. Arac\u0131nda hem \u00f6n, hem de arka park sens\u00f6r\u00fc olan B\u00fclent Bey, park etti\u011fi anda arka sens\u00f6r sesi sabit, \u00f6n sens\u00f6r sesi de aral\u0131kl\u0131 olarak uyar\u0131 veriyor. \t B\u00fclent Bey\u2019in arac\u0131 3,8 metre uzunlu\u011funda oldu\u011funa g\u00f6re A ve B ara\u00e7lar\u0131 aras\u0131ndaki mesafe metre cinsin- den a\u015fa\u011f\u0131dakilerden hangisi olabilir? A)\t 4\t B)\t 4,1\t C)\t 4,7\t D)\t 5,2 8. S\u0131n\u0131f 220","5 \u00dcN\u0130TE \u00dc\u00c7GENLER E\u015eL\u0130K VE BENZERL\u0130K \u00dc\u00e7genler E\u015flik ve Benzerlik Kazan\u0131mlar; \u00dc\u00e7gende kenarortay, a\u00e7\u0131ortay ve y\u00fcksekli\u011fi in\u015fa eder. M.8.3.1.1 \u00dc\u00e7genin iki kenar uzunlu\u011funun toplam\u0131 veya fark\u0131 ile M.8.3.1.2 \u00fc\u00e7\u00fcnc\u00fc kenar\u0131n\u0131n uzunlu\u011funu ili\u015fkilendirir. M.8.3.1.3 \u00dc\u00e7genin kenar uzunluklar\u0131 ile bu kenarlar\u0131n kar\u015f\u0131s\u0131ndaki a\u00e7\u0131lar\u0131n \u00f6l\u00e7\u00fclerini ili\u015fkilendirir. Yeterli say\u0131da eleman\u0131n\u0131n \u00f6l\u00e7\u00fcleri verilen bir \u00fc\u00e7geni \u00e7izer. M.8.3.1.4 Pisagor ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer. M.8.3.1.5 M.8.3.3.1 E\u015flik ve benzerli\u011fi ili\u015fkilendirir, e\u015f ve benzer \u015fekillerin M.8.3.3.2 kenar ve a\u00e7\u0131 ili\u015fkilerini belirler. Benzer \u00e7okgenlerin benzerlik oran\u0131n\u0131 belirler, bir \u00e7okgene e\u015f ve benzer \u00e7okgenler olu\u015fturur. 8. SINIF","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","\u00dc\u00e7gende A\u00e7\u0131ortay, Kenarortay ve Y\u00fckseklik2 br 2 br TEST - 1 1.\t 2 br 3.\t R PS A T K H BC L \t \u015eekildeki ABC \u00fc\u00e7geninin BC kenar\u0131na ait y\u00fcksek- \t Yukar\u0131daki \u015fekilde bir \u00fc\u00e7gene ait KL kenar\u0131 g\u00f6steril- li\u011fi ka\u00e7 birimdir? mektedir. A)\t 4\t B)\t6\t C)\t8\t D)\t10 \t Bu \u00fc\u00e7gende KL kenar\u0131na ait kenarortay \u00e7izgisi H noktas\u0131ndan ge\u00e7ti\u011fine g\u00f6re, \u00fc\u00e7genin di\u011fer k\u00f6\u015fesi hangisidir? A)\t P\t B)\tR\t C)\tS\t D)\tT 2.\t 2 br 4.\t K AP VRS BC T L \t \u015eekilde verilen ABC \u00fc\u00e7geninin alan\u0131 ka\u00e7 birimka- \t [LP], KLM \u00fc\u00e7geninin kenarortay\u0131 ise, hangi nokta redir? M k\u00f6\u015fesini belirtmektedir? A)\t V\t B)\tR\t C)\tS\t D)\tT A)\t 8\t B)\t16\t C)\t32\t D)\t64 223 8. S\u0131n\u0131f","TEST - 1 Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma 5.\t A 7.\t \t\t A 3 cm 8 cm D E G 4 cm B a + 3 D 2a + 1 C \t \u015eekilde verilenlere g\u00f6re; \u00c7`A%BCj ka\u00e7 cm\u2019dir? B 6 cm F C A)\t 13\t B)\t18\t C)\t22\t D)\t26 \t ABC \u00fc\u00e7geninde G noktas\u0131 kenarortaylar\u0131n kesi\u015fim 8.\t noktas\u0131 oldu\u011funa g\u00f6re \u00c7(ABC) ka\u00e7 cm\u2019dir? A A)\t 13\t B)\t24\t C)\t26\t D)\t36 B PR S C 6.\t A\u015fa\u011fda verilen ABC \u00fc\u00e7geninin \u00f6n y\u00fcz\u00fc mavi, arka I.\tA ile P noktas\u0131 birle\u015ftirildi\u011finde BC kenar\u0131na ait y\u00fckseklik olu\u015fur. y\u00fcz\u00fc sar\u0131 renktedir. II.\tA ile S noktas\u0131 birle\u015ftirildi\u011finde A a\u00e7\u0131s\u0131na ait a\u00e7\u0131or- \tA tay olu\u015fur. B C III.\tA ile R noktas\u0131 birle\u015ftirildi\u011finde BC kenar\u0131na ait A kenarortay olu\u015fur. \t Yukar\u0131da verilen \u00fc\u00e7gene g\u00f6re hangileri do\u011frudur? A)\t Yaln\u0131z I\t B)\tII, III\t C)\t I, III\t D)\tI, II, III 9.\t \t A x B D BI C 65\u00b0 BD C \t ABC \u00e7e\u015fitkenar \u00fc\u00e7geninin \u015fekildeki gibi katlan- & mas\u0131yla olu\u015fan katlama \u00e7izgisi, \u00fc\u00e7genin hangi \t ABC ikizkenar \u00fc\u00e7gen, |AB| = |AC| eleman\u0131n\u0131 g\u00f6sterir? \t m`A%BCj = 65\u00b0 ve |BD| = |DC| oldu\u011funa g\u00f6re, \t m`D%ACj ka\u00e7 derecedir? A)\t Kenarortay\t B)\t A\u00e7\u0131ortay C)\t Y\u00fckseklik\t D)\t Kenarorta dikme A)\t 15\t B)\t25\t C)\t65\t D)\t75 8. S\u0131n\u0131f 224","\u00dc\u00e7gende A\u00e7\u0131ortay, Kenarortay ve Y\u00fckseklik TEST - 2 1.\t A 3.\t K 21 L M K LI 3 BC \t ABC \u00fc\u00e7geninde [BC] kenar\u0131na ait; I.\tA\u00e7\u0131ortay 3 numaral\u0131 noktadan ge\u00e7er. LN M II.\tY\u00fckseklik 1 numaral\u0131 noktadan ge\u00e7er. III.\tKenarortay 2 numaral\u0131 noktadan ge\u00e7er. \t KLM \u00e7e\u015fitkenar \u00fc\u00e7gendir. [KL] kenar\u0131 [KM] kenar\u0131 \u00fcze- \t Yukar\u0131da verilen numaraland\u0131r\u0131lm\u0131\u015f bilgilerden rine gelecek \u015fekilde katlan\u0131yor. hangisi veya hangileri do\u011frudur? \t Katlama \u00e7izgisi ile ilgili a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? A)\t Yaln\u0131z II\t B)\t I, III A)\t A\u00e7\u0131ortay\t B)\t Kenarortay C)\t II, III\t D)\t I, II, III C)\t Kenarorta dikme\t D)\t Y\u00fckseklik 2.\t A 4.\t K K N 38\u00b0 56\u00b0 L NM L M BC \t Yukar\u0131daki KLM \u00fc\u00e7geninde [KN] a\u00e7\u0131ortay, m`K%LNj = 38\u00b0 ve m`K%MLj = 56\u00b0 dir. \t \u015eekildeki ABC \u00fc\u00e7geninin AC kenar\u0131na ait kenaror- tay\u0131 ile BC kenar\u0131na ait y\u00fcksekli\u011fi hangi noktada \t Buna g\u00f6re, m`K%NMj ka\u00e7 derecedir? kesi\u015fir? A)\t 71\t B)\t81\t C)\t91\t D)\t92 A)\t K\t B)\tL\t C)\tM\t D)\tN 225 8. S\u0131n\u0131f","TEST - 2 \u00dc\u00e7gende A\u00e7\u0131ortay, Kenarortay ve Y\u00fckseklik 5.\t A 7.\t ABC e\u015fkenar \u00fc\u00e7geninde [DC] kenarortay; 25\u00b0 \tA D \u2013 10 D + 30 B 2x C x \t \u015eekildeki ABC \u00fc\u00e7geninde [BD] a\u00e7\u0131ortay; BC \t m`A%BDj = 2x - 10,m`C%BDj = x + 30, \t |BC| = (2x+26) cm, |AD| = (3x+1) cm oldu\u011funa g\u00f6re \t m^AWh = 25\u00b0 ise, m^BDCh ka\u00e7 derecedir? |AC| ka\u00e7 santimetredir? A)\t 6\t B)\t15\t C)\t19\t D)\t38 A)\t 80\t B)\t85\t C)\t90\t D)\t95 6.\t A\u015fa\u011f\u0131da kareli zeminde verilen KLM \u00fc\u00e7geninde [LM] 8.\t KLM \u00fc\u00e7geninde [LN], LMN \u00fc\u00e7geninde [LP] kenaror- kenar\u0131na ait kenarortay ve y\u00fckseklik \u00e7iziliyor. tayd\u0131r. K \tK N P LM LM \t |NP| = 4 cm ise |KP| ka\u00e7 cm\u2019dir? A)\t 4\t B)\t8\t C)\t12\t D) 16 \t [KN] kenarortay, [KH] y\u00fckseklik olmak \u00fczere \t [KH] = 18 cm ise [HN] ka\u00e7 cm olur? A)\t 3\t B)\t4\t C)\t6\t D)\t8 8. S\u0131n\u0131f 226","\u00dc\u00e7gende A\u00e7\u0131ortay, Kenarortay ve Y\u00fckseklik TEST - 3 1.\t A\u015fa\u011f\u0131da \u00f6n y\u00fcz\u00fc sar\u0131, arka y\u00fcz\u00fc mavi renkli olan ABC \u00fc\u00e7geninin AB kenar\u0131 AC kenar\u0131 \u00fczerine gelecek \u015fekilde kat- lan\u0131yor. AA BC B C \t ABC \u00fc\u00e7geninde; m`B%ACj = 60\u00b0, m`A%CBj = 40\u00b0'dir. \u00c5 \t Buna g\u00f6re elde edilen a a\u00e7\u0131s\u0131 ka\u00e7 derecedir? D A)\t 10\t B)\t20\t C)\t30\t D)\t40 2.\t Bir \u00fc\u00e7gende b\u00fcy\u00fck a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131nda uzun kenar, k\u00fc\u00e7\u00fck a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131nda ise k\u0131sa kenar bulunur. \t h Taban uzunlu\u011fu a, tabana ait y\u00fcksekli\u011fi h olan \u00fc\u00e7genin alan\u0131 a\u00b7h \u2019dir. 2 \ta DA BC \t\t \t\t\t\t \t \u015eekildeki geometri tahtas\u0131n\u0131n A, B ve C noktalar\u0131ndaki \u00e7ivilere bir lastik tak\u0131larak \u00fc\u00e7gen elde edilmi\u015ftir. Lastik A nok- tas\u0131ndaki \u00e7ividen \u00e7\u0131kar\u0131l\u0131p D noktas\u0131na tak\u0131l\u0131yor. \t Son durumda meydana gelen de\u011fi\u015fimle ilgili a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A)\t BC kenar\u0131na ait y\u00fcksekli\u011fin uzunlu\u011fu de\u011fi\u015fmez.\t \t \t B) B a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc artm\u0131\u015ft\u0131r. C)\t \u00dc\u00e7genin alan de\u011feri artm\u0131\u015ft\u0131r.\t \t \t \t \t D) C a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc azalm\u0131\u015ft\u0131r. 227 8. S\u0131n\u0131f","TEST - 3 \u00dc\u00e7gende A\u00e7\u0131ortay, Kenarortay ve Y\u00fckseklik 3.\t Sena \u00d6\u011fretmen kenar uzunluklar\u0131 verilen \u00fc\u00e7genleri \u00f6\u011frencilerine da\u011f\u0131t\u0131p bu \u00fc\u00e7gen \u015feklindeki ka\u011f\u0131tlar\u0131 katlayarak, keserek veya ka\u011f\u0131t \u00fczerinde \u00e7izim yaparak \u00fc\u00e7genin elemanlar\u0131n\u0131 olu\u015fturmaya y\u00f6nelik etkinlikler yapmaktad\u0131r. \t Beril Vedat \u015eeyma Zafer 6 cm C A 6 cm 7 cm C A 9 cm 7 cm 8 cm B 7 cm 8 cm \u00dc\u00e7genler B C 8 cm A C 9 cm A 9 cm B 7 cm B Yapt\u0131\u011f\u0131 B k\u00f6\u015fesini A k\u00f6\u015fesi [AC] kenar\u0131 B k\u00f6\u015fesi [AC] kenar\u0131 katlama ve \u00fczerine katlad\u0131\u011f\u0131nda [CB] kenar\u0131 [AB] kenar\u0131 [CB] kenar\u0131 olu\u015fan orta noktay\u0131 C \u00fczerine katland\u0131\u011f\u0131nda \u00fczerinde katlan\u0131rsa \u00fczerine katlay\u0131p, \u00e7izim k\u00f6\u015fesi ile birle\u015ftirme olu\u015fan katlama olu\u015fan katlama olu\u015fan katlama \u00e7izgisini belirleme \u00e7izgisini belirleme \u00e7izgisini belirleme \t Tabloda yer alan katlama ve \u00e7izme i\u015flemlerine g\u00f6re hangi \u00f6\u011frencinin yapt\u0131\u011f\u0131 etkinlikte \u00fc\u00e7genin [AB] kena- r\u0131na ait kenarortay\u0131 olu\u015fturulamaz? A)\t Beril\t B)\t Vedat\t C)\t \u015eeyma\t D)\t Zafer 4.\t A\u015fa\u011f\u0131da verilen \u00f6n y\u00fcz\u00fc mor arka y\u00fcz\u00fc sar\u0131 olan ABC 5.\t A\u015fa\u011f\u0131daki bisikletin direksiyondan koltu\u011fa olan par- \u00e7e\u015fitkenar \u00fc\u00e7geninde [AB] kenar\u0131 [AC] kenar\u0131 \u00fczerine \u00e7as\u0131 ile direksiyondan pedala olan par\u00e7as\u0131 e\u015fit uzun- gelecek \u015fekilde katlan\u0131p a\u00e7\u0131l\u0131yor. luktad\u0131r. Ayr\u0131ca bu bisikletin koltuktan pedala ve arka tekerle\u011fe olan par\u00e7alar\u0131 da e\u015fit uzunluktad\u0131r. \tA A B\u0131 xy 40\u00b0 DC 70\u00b0 66\u00b0 3322\u00b0\u00b0 B CB \t Buna g\u00f6re, olu\u015fan [AD] katlama \u00e7izgisine g\u00f6re \t m`B%ADj ka\u00e7 derecedir? \t Buna g\u00f6re, x ve y a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131 ka\u00e7 A)\t 39\t B)\t41\t C)\t47\t D)\t49 derecedir? A)\t 100\t B)\t110\t C)\t120\t D)\t130 8. S\u0131n\u0131f 228","\u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki TEST - 4 1.\t K 5.\t \t K 8 cm 3 cm 5 cm LM LM \t \u015eekildeki verilenlere g\u00f6re |LM| santimetre cinsin- \t KLM \u00fc\u00e7geninde |KL| = |KM|, |LM| = 10 cm oldu\u011fu- den a\u015fa\u011f\u0131dakilerden hangisi olamaz? na g\u00f6re |KM|\u2019nin santimetre cinsinden alabilece\u011fi en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 3\t B)\t4\t C)\t5\t D)\t6 A)\t 3\t B)\t4\t C)\t5\t D)\t6 2.\t A\u015fa\u011f\u0131dakilerden hangisi \u00e7evre uzunlu\u011fu 14 cm 6.\t A 6 cm olan bir \u00fc\u00e7genin kenar uzunluklar\u0131ndan biri ola- maz? 8 cm 13 cm D A)\t 7\t 4 cmB)\t4\tC)\t2\tD)\t1B C 3.\t \t K \t \u015eekildeki verilenlere g\u00f6re, |BC|\u2019nin santimetre cinsinden alabilece\u011fi ka\u00e7 farkl\u0131 tam say\u0131 de\u011feri vard\u0131r? A)\t 4\t B)\t5\t C)\t6\t D)\t7 LM \t Yukar\u0131daki \u015fekilde |KL| = 13 cm oldu\u011funa g\u00f6re 7.\t \t K KLM \u00fc\u00e7geninin \u00e7evresinin en k\u00fc\u00e7\u00fck tam say\u0131 de- \u011feri ka\u00e7t\u0131r? A)\t 26\t B)\t27\t C)\t28\t D)\t29 L 3 cm N 4.\t Kenar uzunluklar\u0131 santimetre cinsinden birer tam M say\u0131 ve \u00e7evresinin uzunlu\u011fu 7 cm olan ka\u00e7 farkl\u0131 \t \u015eekildeki KLMN d\u00f6rtgeninin \u00e7evre uzunlu\u011funun \u00fc\u00e7gen vard\u0131r? A)\t 4\t B)\t3\t C)\t2\t D)\t1 alabilece\u011fi en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 6\t B)\t7\t C)\t8\t D)\t9 229 8. S\u0131n\u0131f","TEST - 4 \u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki 8.\t \t\t K 11.\t K y 3 cm 5 cm L P 11 cm 8 cm N 6 cm 9 cm 4 cm 3 cm N 9 cm L xM M \t \u015eekildeki verilenlere g\u00f6re x\u2019in en b\u00fcy\u00fck tam say\u0131 \t LMP \u00fc\u00e7geninin kenar uzunluklar\u0131 santimetre cin- de\u011feri ile y\u2019nin en k\u00fc\u00e7\u00fck tam say\u0131 de\u011ferinin top- sinden birer tam say\u0131 oldu\u011funa g\u00f6re LMP \u00fc\u00e7ge- lam\u0131 ka\u00e7t\u0131r? ninin \u00e7evresi en \u00e7ok ka\u00e7 santimetredir? A)\t 10\t B)\t14\t C)\t24\t D)\t28 A)\t 42\t B)\t41\t C)\t40\t D)\t39 9.\t \t \t 8 cm A 12.\t\u00c7evresi 18 cm olan bir \u00fc\u00e7genin, kenar uzunluklar\u0131 cm 13 cm B cinsinden birer do\u011fal say\u0131d\u0131r ve y\u00fcksekliklerden ikisi C birbirine e\u015fittir. D \t Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi bu \u00fc\u00e7genin kenar uzunluklar\u0131ndan birinin cm cinsinden de- \t |AB| = 8 cm, |AC| = 13 cm ve |BD| = 9 cm\u2019dir. \u011feri olamaz? \t Buna g\u00f6re, |BC|\u2019nin en b\u00fcy\u00fck tam say\u0131 de\u011feri i\u00e7in, A)\t 5\t B)\t4\t C)\t3\t D)\t2 |DC|\u2019nin en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri ka\u00e7 santimet- redir? A)\t 10\t B)\t11\t C)\t12\t D)\t13 13.\t A 7 cm B 10.\t \t\t D 5 cm 6 cm 5 cm 3 cm A C 4 cm C D B \t |AD| = 5 cm, |AB| = 4 cm \t \u015eekildeki d\u00f6rtgende; |AD| = 5 cm, \t |AB| = 7 cm, |BC| = 3 cm ve |DC| = 4 cm \t |DC| = 6 cm ise, |AC|\u2019nin en b\u00fcy\u00fck de\u011feri i\u00e7in, \t oldu\u011funa g\u00f6re |AC| + |DB| toplam\u0131 ka\u00e7 santimetre \t |BC|\u2019nin en b\u00fcy\u00fck tam say\u0131 de\u011feri ka\u00e7 santimet- olabilir? redir? A)\t 15\t B)\t14\t C)\t13\t D)\t12 A)\t 6\t B)\t15\t C)\t16\t D)\t17 8. S\u0131n\u0131f 230","\u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki TEST - 5 1.\t Kenarlar\u0131 tam say\u0131 olan \u00fc\u00e7gen \u015feklindeki bir masan\u0131n \u00e7evresi \u015fekildeki gibi pembe bantlarla kaplanacakt\u0131r. 36 cm 57 cm \t Bu bant\u0131n yap\u0131m\u0131nda her 10 cm i\u00e7in 40 TL \u00f6deme yap\u0131laca\u011f\u0131na g\u00f6re bu i\u015f i\u00e7in en az ka\u00e7 TL \u00f6deme yap\u0131l\u0131r? A)\t 400\t B)\t420\t C)\t440\t D)\t460 2.\t A\u015fa\u011f\u0131da verilen navigasyon g\u00f6rselinde i\u015faretlenen A, 3.\t Bir park projesinde, \u00fc\u00e7gen \u015feklinde modellenmi\u015f yol- B, C ve D noktalar\u0131n\u0131n birbirine g\u00f6re uzakl\u0131klar\u0131 ve 1 lar\u0131n g\u00f6rseli \u015fekilde verilmi\u015ftir. Proje maliyetini azalt- dakikada 0,5 km yol alabilen A noktas\u0131ndaki arac\u0131n mak i\u00e7in BDC \u00fc\u00e7geni \u015feklinde olan alandaki noktalardan baz\u0131lar\u0131na var\u0131\u015f s\u00fcreleri verilmi\u015ftir. \t |BD| + |DC| en k\u0131sa tam say\u0131 olmas\u0131 isteniyor. C A 6 km 12 km D B 40 metre D 50 metre A \tB C \t \t |BC| metre cinsinden bir tam say\u0131 oldu\u011funa g\u00f6re \t Bu ara\u00e7 AD yolunu 18 dakikada; AB yolunu ise 32 da- |BD| + |DC| ka\u00e7 metre olmal\u0131d\u0131r? kikada alabilmektedir. A)\t 13\t B)\t12\t C)\t11\t D)\t10 \t Buna g\u00f6re ayn\u0131 ara\u00e7 AC yolunu ka\u00e7 dakikada ala- maz? A)\t 10\t B)\t16\t C)\t24\t D)\t30 231 8. S\u0131n\u0131f","TEST - 5 \u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki 4.\t A\u015fa\u011f\u0131daki \u015fekilde verilen sevgi yolunun ba\u015f\u0131nda ve 6.\t A\u015fa\u011f\u0131da kenar uzunluklar\u0131 birer tam say\u0131 olan \u00fc\u00e7gen- sonunda birer a\u011fa\u00e7 olacak \u015fekilde 10 m aral\u0131klarla sel b\u00f6lge \u015feklindeki iki ye\u015fil alan verilmi\u015ftir. yolun her iki yan\u0131na a\u011fa\u00e7 dikilecektir. 6m 8m 121 m 250 m 9m 9m Sevgi Yolu 200 m 301 m \t \t \t Buna g\u00f6re, bu ye\u015fil alanlar\u0131n \u00e7evreleri toplam\u0131 en \u00e7ok ka\u00e7 metredir? \t Buna g\u00f6re en az ka\u00e7 tane a\u011fa\u00e7 fidan\u0131na ihtiya\u00e7 vard\u0131r? (Sevgi yolunun uzunlu\u011fu metre cinsinden tam A)\t 62\t B)\t63\t C)\t64\t D)\t65 say\u0131d\u0131r.) A)\t 26\t B)\t27\t C)\t28\t D)\t29 5.\t Yar\u0131\u00e7ap\u0131 r olan dairenin \u00e7evresi 2pr form\u00fcl\u00fc ile he- 7.\t Ceylin\u2019in evinin okuluna uzakl\u0131\u011f\u0131 2,4 km, okulun al\u0131\u015f- saplan\u0131r. \u00dc\u00e7genin her bir kenar\u0131n\u0131n uzunlu\u011fu, di\u011fer iki veri\u015f merkezine uzakl\u0131\u011f\u0131 5,6 km\u2019dir. kenar\u0131n\u0131n uzunluklar\u0131n\u0131n fark\u0131n\u0131n mutlak de\u011ferinden \t b\u00fcy\u00fck, toplam\u0131ndan k\u00fc\u00e7\u00fckt\u00fcr. Ev \t Doruk resim dersinde kenar uzunluklar\u0131 santimetre 2,4 km cinsinden tam say\u0131 olan \u00fc\u00e7 tane e\u015f ikizkenar \u00fc\u00e7gen ve \u00e7evresi 36 cm olan daire kullanarak bir k\u00f6pr\u00fcl\u00fc kav- \u015fa\u011f\u0131n modelini yapm\u0131\u015ft\u0131r. Okul 5,6 km AVM \t Ceylin\u2019in evi ile al\u0131\u015fveri\u015f merkezi aras\u0131ndaki me- safe km cinsinden hangi tam say\u0131lar olabilir? \t A)\t 4, 5, 6\t B)\t 5, 6, 7 C)\t 3, 4, 5, 6\t D)\t 4, 5, 6, 7 \t Modeldeki ikizkenar \u00fc\u00e7genlerin taban uzunluklar\u0131 dairenin \u00e7ap\u0131n\u0131n uzunlu\u011funa e\u015fit oldu\u011funa g\u00f6re, \u00fc\u00e7genlerden birinin \u00e7evresinin uzunlu\u011fu en az ka\u00e7 santimetredir? (p = 3 al\u0131n\u0131z.) A)\t 24\t B)\t25\t C)\t26\t D)\t27 8. S\u0131n\u0131f 232","\u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki TEST - 6 1.\t Berke, Hamit, Arda ve Cemre okul bah\u00e7esinde \u015fekil- 3.\t Aralar\u0131ndaki uzakl\u0131k 1 m olacak \u015fekilde \u00e7itler kullan\u0131- deki gibi durmaktad\u0131r. larak \u00fc\u00e7gen \u015feklindeki bir bah\u00e7enin etraf\u0131 \u00e7itlerle \u00e7ev- rilmek isteniyor. \t \t 7m Hamit 8m Berke 5m Arda 11 m Cemre \t Arda ile Hamit aras\u0131ndaki mesafenin en b\u00fcy\u00fck tam \t Bah\u00e7enin bir kenar\u0131nda 9 tane, di\u011fer kenar\u0131nda say\u0131 de\u011feri ka\u00e7 metre olabilir? ise 14 tane \u00e7it kullan\u0131laca\u011f\u0131na g\u00f6re en k\u00fc\u00e7\u00fck \u00e7evre uzunlu\u011funa sahip bah\u00e7eyi olu\u015fturmak i\u00e7in bilin- A)\t 10\t B)\t11\t C)\t12\t D)\t13 meyen kenara ka\u00e7 tane tam \u00e7it kullanmak gerekir? A)\t 4\t B)\t5\t C)\t6\t D)\t7 2.\t A\u015fa\u011f\u0131da \u00f6n y\u00fcz\u00fc mavi, arka y\u00fcz\u00fc pembe renkli olan 4.\t \u00c7evresi 21 m olan \u00fc\u00e7genin k\u00f6\u015felerinde bulunan bilgi- ABC \u00fc\u00e7geninin AC kenar uzunlu\u011fu 12 cm\u2019dir. sayarlara \u00fc\u00e7genin i\u00e7 b\u00f6lgesinde bulunan modemden kablo ba\u011flanacakt\u0131r. \tA A \t D 12 cm B CB E C \u015eekil 1 \u015eekil 2 \t ABC \u00fc\u00e7geninin AB kenar\u0131 BC kenar\u0131 \u00fczerine kat- Modem land\u0131\u011f\u0131nda olu\u015fan DEC \u00fc\u00e7geninin \u00e7evresinin ala- bilece\u011fi tam say\u0131 de\u011feri en \u00e7ok ka\u00e7 cm\u2019dir? A)\t 22\t B)\t23\t C)\t24\t D)\t25 \t Buna g\u00f6re modemden bilgisayarlara ba\u011flan\u0131la- cak kablonun uzunlu\u011fu tam say\u0131 olarak en az ka\u00e7 metredir? A)\t 7\t B)\t10\t C)\t11\t D)\t21 233 8. S\u0131n\u0131f","TEST - 6 \u00dc\u00e7genin Kenar Uzunluklar\u0131 Aras\u0131ndaki \u0130li\u015fki 5.\t A\u015fa\u011f\u0131da merkezi O noktas\u0131 olan daire \u015feklindeki k\u00e2\u011f\u0131t iki par\u00e7aya b\u00f6l\u00fcnerek biri sar\u0131, di\u011feri mavi renge boyanm\u0131\u015f- t\u0131r. Daha sonra bu par\u00e7alar birbirine e\u015f daire dilimlerine ayr\u0131lm\u0131\u015ft\u0131r. Bu daire dilimlerinin a\u00e7\u0131lar\u0131 derece cinsinden tam say\u0131d\u0131r. M 160\u00b0 O \t KL \t \t \t \t \t \t \u015eekil - 1\t \t \t \t \u015eekil - 2 \t Daha sonra mavi dilimlerden d\u00f6rt tanesi ile sar\u0131 dilimlerden \u00fc\u00e7 tanesi bir KLM \u00fc\u00e7geninin K ve L k\u00f6\u015felerine \u015eekil - 2\u2019deki gibi yerle\u015ftirilmi\u015ftir. \t KLM \u00fc\u00e7geninde |KL| > |ML| > |KM| oldu\u011funa g\u00f6re M a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc en az ka\u00e7 derecedir? A)\t 70\t B)\t90\t C)\t110\t D)\t130 6.\t A\u015fa\u011f\u0131da dikd\u00f6rtgen \u015feklinde \u00fc\u00e7 karton ve bu kartonlar\u0131n uzunluklar\u0131 verilmi\u015ftir. \t \u00ca420 cm \u00ca360 cm \u00ca288 cm \t Bu kartonlar\u0131n her birinin uzunlu\u011fu cm cinsinden tam say\u0131 olacak \u015fekilde birer par\u00e7a kesilmi\u015ftir. Daha sonra bu par- \u00e7alar a\u015fa\u011f\u0131daki gibi birle\u015ftirilerek bir \u00fc\u00e7gen modeli olu\u015fturulmu\u015ftur. 95\u00b0 \t \t Olu\u015fturulan bu modelde sar\u0131 ile pembe dikd\u00f6rtgen par\u00e7alar\u0131n\u0131n aras\u0131nda olu\u015fan a\u00e7\u0131 95\u00b0 olup pembe ve mavi dik- d\u00f6rtgen par\u00e7alar\u0131n\u0131n aras\u0131nda kalan a\u00e7\u0131 42\u00b0\u2019den k\u00fc\u00e7\u00fck olmu\u015ftur. \t Buna g\u00f6re modeldeki ye\u015fil b\u00f6lgenin \u00e7evresi en fazla ka\u00e7 cm\u2019dir? A)\t 49\t B)\t51\t C)\t54\t D)\t57 8. S\u0131n\u0131f 234","\u00dc\u00e7genin Kenar Uzunluklar\u0131 ile A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki TEST - 7 1.\t K 4.\t \t E A 5 cm 9 cm 60\u00b0 L 7 cm M B 55\u00b0 D 70\u00b0 30\u00b0 \t Yukar\u0131da kenar uzunluklar\u0131 verilen KLM \u00fc\u00e7geninin a\u00e7\u0131lar\u0131n\u0131n s\u0131ralamas\u0131 a\u015fa\u011f\u0131dakilerden hangisi gibi olur? C \t Yukar\u0131daki \u015fekilde verilenlere g\u00f6re en uzun kenar A)\t m_XMi < m_WKi < m_VLi B)\t m_XMi < m_VLi < m_WKi a\u015fa\u011f\u0131dakilerden hangisidir? C)\t m_WKi < m_VLi < m_XMi D)\t m_VLi < m_WKi < m_XMi A)\t |BD|\t B)\t|AD|\t C)\t|DE|\t D)\t|CD| 5.\t \t E 40\u00b0 A 80\u00b0 2.\t \t A 50\u00b0 B 58\u00b0 70\u00b0 D 60\u00b0 B 60\u00b0 D 30\u00b0 70\u00b0 C C \t Yukar\u0131daki \u015fekilde A, B ve C noktalar\u0131 do\u011fruda\u015ft\u0131r. \t Yukar\u0131daki \u015fekilde verilenlere g\u00f6re en uzun kenar \t Verilen bilgilere g\u00f6re \u015fekildeki en uzun kenar a\u015fa- a\u015fa\u011f\u0131dakilerden hangisidir? \u011f\u0131dakilerden hangisidir? A)\t |AD|\t B)\t|AB|\t C)\t|BD|\t D)\t|BC| A)\t [BD]\t B)\t[EB]\t C)\t [AB]\t D)\t[AE] 3.\t \t D 6.\t A 45\u00b0 A 70\u00b0 85\u00b0 130\u00b0 B CD 75\u00b0 60\u00b0 \t Yukar\u0131da verilen \u015fekilde B,C,D noktalar\u0131 do\u011fruda\u015ft\u0131r. B C \t Buna g\u00f6re; kenarlar\u0131n uzunluklar\u0131 aras\u0131ndaki s\u0131- \t \u015eekildeki en k\u0131sa kenar a\u015fa\u011f\u0131dakilerden hangisi- ralama a\u015fa\u011f\u0131dakilerden hangisidir? dir? A) |AC| < |AB| < |BC|\t B) |AB| < |BC| < |AC| A)\t |AC|\t B)\t|DC|\t C)\t|AD|\t D)\t|BC| C) |AB| < |AC| < |BC|\t D) |BC| < |AB| < |AC| 235 8. S\u0131n\u0131f","TEST - 7 \u00dc\u00e7genin Kenar Uzunluklar\u0131 ile A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki 7.\t Bir KLM \u00fc\u00e7geninde m^KWh > m^LUh > m^MWh\u2019dir. 10.\t K \t KLM \u00fc\u00e7geninin \u00e7evresinin uzunlu\u011fu 30 cm oldu- 15\u00b0 \u011funa g\u00f6re, |KL| alabilece\u011fi en b\u00fcy\u00fck tam say\u0131 de- \u011feri ka\u00e7t\u0131r? A)\t 9\t B)\t10\t C)\t11\t D)\t12 60\u00b0 L 55\u00b0 NM 8.\t Bir ABC \u00fc\u00e7geninin kenar uzunluklar\u0131 a, b ve c ise \t KLM bir \u00fc\u00e7gen; m`K%LNj = 60\u00b0, \t m`N%KMj = 15\u00b0 ve m`K%MLj = 55\u00b0 oldu\u011funa g\u00f6re, a\u015fa\u011f\u0131daki ifadelerden hangisi her zaman do\u011fru- dur? a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A)\t |KM| < |LM|\t B)\t |NM| < |KN| C)\t |LN| < |KL|\t D)\t |KL| < |NM| A)\t a + b < c\t B)\t a \u2013 b > c C)\t a < b \u2013 c\t D)\t c < a + b 9.\t A 11.\t Bir ABC e\u015fkenar \u00fc\u00e7geninin AB kenar\u0131n\u0131 2 cm k\u0131- 15\u00b0 5\u00b0 salt\u0131p, AC kenar\u0131n\u0131 ise 2 cm art\u0131r\u0131rsak yeni olu\u015fan \u00fc\u00e7genin i\u00e7 a\u00e7\u0131lar\u0131n\u0131n \u00f6l\u00e7\u00fclerinin s\u0131ralan\u0131\u015f\u0131 a\u015fa\u011f\u0131- dakilerden hangisidir? A)\t s`CWj < s^AWh < s^BVh B)\t s^AWh < s`CWj < s^BVh C)\t s^BVh < s^AWh < s`CWj D)\t s^AWh < s^BVh < s`CWj BD EC \t ABC e\u015fkenar \u00fc\u00e7gen; B, D, E, C do\u011frusal, \t m`B%ADj = 15\u00b0 ve m`E%ACj = 5\u00b0 ise; \t ADE \u00fc\u00e7geninin kenarlar\u0131n\u0131n s\u0131ralamas\u0131 a\u015fa\u011f\u0131da- kilerden hangisidir? A)\t |AD| < |DE| < |AE| B)\t |DE| < |AE| < |AD| C)\t |DE| < |AD| < |AE| D)\t |AE| < |DE| < |AD| 8. S\u0131n\u0131f 236","\u00dc\u00e7genin Kenar Uzunluklar\u0131 ile A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki TEST - 8 1.\t D 4.\t K 100\u00b0 3 cm 5 cm L 4 cm M E 11 cm F 6 cm 100\u00b0 \t Verilen DEF \u00fc\u00e7geninde m`E%DFj = 100\u00b0, N \t |DE| = 4 cm, |EF| = 11 cm oldu\u011funa g\u00f6re, |DF|\u2019nin \t m`L%NMj = 100\u00b0 , KL = 3 cm , KM = 5 cm ve santimetre cinsinden alabilece\u011fi ka\u00e7 farkl\u0131 tam LN = 6 cm oldu\u011funa g\u00f6re, |LM|\u2019nin cm cinsinden say\u0131 de\u011feri vard\u0131r? alabilece\u011fi tam say\u0131 de\u011feri ka\u00e7t\u0131r? A)\t 3\t B)\t4\t C)\t5\t D)\t6 A)\t 5\t B)\t6\t C)\t7\t D)\t8 5.\t A 2.\t A 3 cm 3 cm 3 cm 8 cm B D 4 cm C BC \t ABC \u00fc\u00e7geninde verilenlere g\u00f6re, |AC|\u2019nin cm cin- \t Yukar\u0131daki ABC \u00fc\u00e7geninde, m^AWh > m^BVh\u2019dir. sinden alabilece\u011fi en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri ka\u00e7- \t Buna g\u00f6re, |BC|\u2019nin alabilece\u011fi tam say\u0131 de\u011ferleri t\u0131r? toplam\u0131 ka\u00e7t\u0131r? A)\t 4\t B)\t5\t C)\t6\t D)\t7 A)\t 17\t B)\t19\t C)\t27\t D)\t30 6.\t K 5 cm 3.\t Bir KLM \u00e7e\u015fitkenar \u00fc\u00e7geninin kenar uzunluklar\u0131 san- L 7 cm M timetre cinsinden birer tam say\u0131d\u0131r. \t KLM \u00fc\u00e7geninde |LM| = 7 cm, |KM| = 5 cm ve \t |KM| = 8 cm ve m^KWh > m^MWh > m^LUh ise |LM|\u2019nin en m^LVh > m^MWh oldu\u011funa g\u00f6re, |KL|\u2019nin alabilece\u011fi k\u00fc\u00e7\u00fck de\u011feri ka\u00e7t\u0131r? ka\u00e7 farkl\u0131 tam say\u0131 de\u011feri vard\u0131r? A)\t 9\t B)\t10\t C)\t11\t D)\t12 A)\t 1\t B)\t2\t C)\t3\t D)\t4 237 8. S\u0131n\u0131f","TEST - 8 \u00dc\u00e7genin Kenar Uzunluklar\u0131 ile A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki 7.\t D 10.\t K 90 cm 9 cm E 150 cm F L 15 cm M \t \u015eekildeki DEF \u00fc\u00e7geninin iki kenar uzunlu\u011fu verilmi\u015ftir. \t KLM \u00fc\u00e7geninde; m^LUh > m^MWh'dir. \t m_XDi > m_WEi > m_WFi oldu\u011funa g\u00f6re DEF \u00fc\u00e7geni- \t |KL| = 9 cm ve |LM| = 15 cm ise, |KM|\u2019nin alabile- nin \u00e7evresinin tam say\u0131 de\u011feri a\u015fa\u011f\u0131dakilerden ce\u011fi en b\u00fcy\u00fck tam say\u0131 de\u011feri ile en k\u00fc\u00e7\u00fck tam hangisi olabilir? say\u0131 de\u011feri toplam\u0131 ka\u00e7t\u0131r? A)\t 300\t B)\t320\t C)\t340\t D)\t400 A)\t 34\t B)\t33\t C)\t30\t D)\t26 11.\t A B\u0131 D 8.\t Bir ABC \u00fc\u00e7geninde m_XCi > m_WBi > m^WAh\u2019t\u00fcr. B \t ABC \u00fc\u00e7geninin \u00e7evresinin uzunlu\u011fu 21 cm oldu- \u011funa g\u00f6re |AB|\u2019nin en k\u00fc\u00e7\u00fck tam say\u0131 de\u011feri ka\u00e7 cm\u2019dir? A)\t 8\t B)\t7\t C)\t6\t D)\t5 C 9.\t A\u015fa\u011f\u0131daki krokide bir mahalledeki K f\u0131r\u0131n\u0131 ve L, M, N \t \u015eekildeki ABC \u00fc\u00e7geninde, |BC| kenar\u0131, |AC| kenar\u0131 \u00fczerine katlanm\u0131\u015f ve m^AWh > m`CWj oldu\u011funa g\u00f6re; marketleri aras\u0131ndaki yollar g\u00f6sterilmi\u015ftir. F\u0131r\u0131n \t ABC \u00fc\u00e7geninin kenarlar\u0131n\u0131n s\u0131ralanm\u0131\u015f hali a\u015fa- \u011f\u0131dakilerden hangisidir? K A)\t |AC| < |BC| < |AB|\t B)\t |AC| < |AB| < |BC| Market Market C)\t |BC| < |AB| < |AC|\t D)\t |AB| < |BC| < |AC| 45\u00b0 55\u00b0 12.\t D N 45\u00b0 L 48\u00b0 65\u00b0 EF M \t \u015eekildeki DEF \u00fc\u00e7geninde m^DWh = 48\u00b0 ve m^EVh > m^FVh oldu\u011funa g\u00f6re, F a\u00e7\u0131s\u0131n\u0131n alabile- Market ce\u011fi en b\u00fcy\u00fck tam say\u0131 de\u011feri a\u015fa\u011f\u0131dakilerden hangisidir? \t \t K f\u0131r\u0131n\u0131ndan marketlere ekmek ta\u015f\u0131yan bir kuryenin A)\t 68\t B)\t67\t C)\t66\t D)\t65 g\u00fczergah\u0131 |KL|, |LM|, |MN| ve |NK|\u2019d\u0131r. \t Hangi yol g\u00fczergah\u0131nda kuryenin ald\u0131\u011f\u0131 yol en fazlad\u0131r? A)\t |NK|\t B)\t|LM|\t C)\t|MN|\t D)\t|NK| 8. S\u0131n\u0131f 238","\u00dc\u00e7gen \u00c7izimi TEST - 9 1.\t I.\ts^WAh = 70\u00b0,s_WBi = 80\u00b0,s_XCi = 30\u00b0 4.\t I.\tHerhangi iki kenar uzunlu\u011fu ve bu iki kenar ara- II.\t AB = 3 cm, BC = 5 cm, AC = 7 cm s\u0131ndaki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc III.\ts_A%BCi = 50\u00b0, AB = 7 cm, BC = 9 cm II.\t\u00dc\u00e7 kenar uzunlu\u011fu \t Verilenlerden hangileri kullan\u0131larak yaln\u0131z bir \u00fc\u00e7- gen \u00e7izilebilir? III.\tBir kenar uzunlu\u011fu ve bir a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc \t Yukar\u0131da verilen ifadelerden hangilerinin tek ba- \u015f\u0131na bilinmesiyle bir \u00fc\u00e7gen \u00e7izimi yapabiliriz? A)\t Yaln\u0131z II\t B)\t I, II A)\t Yaln\u0131z III\t B)\t I, II C)\t II, III\t D)\t I, II, III C)\t II,III\t D)\t I, II, III 5.\t Tek t\u00fcrl\u00fc bir ABC \u00fc\u00e7geni \u00e7izmek isteyen T\u00fcrker, \u00fc\u00e7- genle ilgili olarak m_A%BCi = 56\u00b0 ve |AB| = 6 cm ol- du\u011funu biliyor. 2.\t A\u015fa\u011f\u0131da verilenlerden hangisiyle yaln\u0131z bir \u00fc\u00e7gen \t Buna g\u00f6re bu iki bilgi yan\u0131nda T\u00fcrker hangi bilgiyi tek ba\u015f\u0131na bilirse tek t\u00fcrl\u00fc bir ABC \u00fc\u00e7geni \u00e7ize- \u00e7izilebilir? mez? A)\t a = 6 cm,b = 5 cm, s_WBi = 60\u00b0 B)\t m_WBi = 70\u00b0, AB = 11cm, AC = 6 cm A)\t m_A%CBi = 56\u00b0\t B)\t |AC| = 4 cm C)\t m^WAh = 65\u00b0, m_WBi = 55\u00b0, AC = 8 cm C)\t |BC| = 6 cm\t D)\t m_B%ACi = 42\u00b0 D)\t s^WAh = 35\u00b0, s_WBi = 85\u00b0, s_XCi = 60\u00b0 6.\t I.\t|AB| = 8 cm, |BC| = 12 cm ve m_A%BCi = 80\u00b0 ise 3.\t Sadece cetvel ve pergel kullan\u0131larak a\u015fa\u011f\u0131daki tek bir ABC \u00fc\u00e7geni \u00e7izilebilir. \u00fc\u00e7genlerden hangisi \u00e7izilebilir? II.\t\tm_A%BCi = 80\u00b0, m_B%CAi = 70\u00b0 ve |BC| = 8 cm ise A)\t AB = 4 cm, BC = 7 cm, AC = 9 cm B)\t m_WBi = 70\u00b0, AB = 6 cm, AC = 11cm tek bir ABC \u00fc\u00e7geni \u00e7izilebilir. C)\t m^WAh = 65\u00b0,m_WBi = 55\u00b0, AC = 8 cm D)\t s^WAh = 35\u00b0, s_WBi = 85\u00b0, s_XCi = 60\u00b0 III.\t|AB| = 4 cm, |BC| = 6 cm ve |AC| = 10 cm ise tek bir ABC \u00fc\u00e7geni \u00e7izilebilir. IV.\tm_A%CBi = 60\u00b0, |AC| = 8 cm ve |BC| = 6 cm ise tek bir ABC \u00fc\u00e7geni \u00e7izilebilir. V.\tm_B%ACi = 80\u00b0, |BC| = 6 cm ve |AC| = 10 cm ise tek bir ABC \u00fc\u00e7geni \u00e7izilebilir. & \t Bir ABC ni i\u00e7in yukar\u0131daki ifadelerden hangileri do\u011frudur? A)\t I, II ve III\t B)\t I, II ve V C)\t II, III ve IV\t D)\t I, II ve IV 239 8. S\u0131n\u0131f","TEST - 9 \u00dc\u00e7gen \u00c7izimi 7.\t Asl\u0131, kenar uzunluklar\u0131 |AB| = 5 cm, |BC| = 3 cm ve 9.\t ABC \u00fc\u00e7genine ait sadece |BC| = 4 cm oldu\u011fu bilin- |AC| = 4 cm olacak \u015fekilde ABC \u00fc\u00e7genini a\u015fa\u011f\u0131daki mektedir. \t Buna g\u00f6re, a\u015fa\u011f\u0131da verilen bilgilerden hangisi tek gibi \u00e7izmi\u015ftir. t\u00fcrl\u00fc ABC \u00fc\u00e7genini \u00e7izmek i\u00e7in yeterli de\u011fildir? I. ad\u0131m: 5 cm |AB| = 5 cm olacak \u015fekilde A A)\t |AB| = 6 cm ve |AC| = 8 cm cetvel yard\u0131m\u0131yla do\u011fru B)\t m_XCi = 70\u00b0 ve |AC| = 8 cm B par\u00e7as\u0131 \u00e7izmi\u015ftir. C)\t m_WBi = 56\u00b0 ve |AC| = 3 cm D)\t m_WBi = 64\u00b0 ve m_XCi = 46\u00b0 II. ad\u0131m: Pergel yard\u0131m\u0131yla merkezi A B, yar\u0131\u00e7ap\u0131 3 cm olan \u00e7ember yay\u0131 \u00e7izmi\u015ftir. B III. ad\u0131m: Pergel yard\u0131m\u0131yla merkezi A, yar\u0131\u00e7ap\u0131 4 cm olan \u00e7ember yay\u0131 \u00e7izmi\u015ftir. A B IV. ad\u0131m: C Yaylar\u0131n kesim noktas\u0131n\u0131 C kabul edip A, B, C noktala- r\u0131n\u0131 birle\u015ftirmi\u015ftir. \t A 5 cm B 10.\t \t Buna g\u00f6re, Asl\u0131\u2019n\u0131n \u00fc\u00e7gen \u00e7izimi ile ilgili a\u015fa\u011f\u0131daki m(A\uf8ff) = 60\u00b0, |AB| = |AC| = 8 cm ifadelerden hangisi do\u011frudur? A)\t \u0130lk kez II. ad\u0131mda hata yapm\u0131\u015ft\u0131r. B)\t \u0130lk kez III. ad\u0131mda hata yapm\u0131\u015ft\u0131r. C)\t\u0130lk kez IV. ad\u0131mda hata yapm\u0131\u015ft\u0131r. D)\t\u00dc\u00e7geni do\u011fru \u00e7izmi\u015ftir. Ceyda |AB| = 8 cm, |BC| = 6 cm ve |AC| = 5 cm Sevda m(B)\uf8ff = 52\u00b0, |AB| = 8 cm ve |BC| = 10 cm Utku 8.\t A\u015fa\u011f\u0131da verilen se\u00e7eneklerin hangisinde birden m(B\uf8ff) = 62\u00b0, |AC| = 4 cm ve |BC| = 8 cm fazla \u00fc\u00e7gen \u00e7izilebilir? Alp A)\t m^WAh = 70\u00b0,m_WBi = 50\u00b0 , |AB| = 8 cm B)\t |AB| = \u00a75 cm, |AC| = \u00a75 cm, |BC| = \u00a75 cm \t Hangi \u00f6\u011frencinin verdi\u011fi bilgilerle \u015fekli bir birin- C)\t|AB| = 8 cm, |BC| = 10 cm, m_WBi = 80\u00b0 den farkl\u0131 ABC \u00fc\u00e7genleri \u00e7izilebilir? D)\t m_A%BCi = 45\u00b0,m_B%CAi = 55\u00b0,m_C%ABi = 80\u00b0 A)\t Alp\t B)\t Sevda C)\t Utku\t D)\t Ceyda 8. S\u0131n\u0131f 240","\u00dc\u00e7genin Kenar Uzunluklar\u0131 \u0130le A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki TEST - 10 1.\t \u00d6n y\u00fcz\u00fc mavi, arka y\u00fcz\u00fc pembe renkli olan \u00fc\u00e7gen bi\u00e7imindeki ABC ka\u011f\u0131d\u0131 \u015fekil 1\u2019de g\u00f6sterilmi\u015ftir. Bu ka\u011f\u0131t; B k\u00f6- \u015fesi, A k\u00f6\u015fesinin \u00fczerine gelecek bi\u00e7imde \u015fekil 2\u2019deki gibi katlanm\u0131\u015ft\u0131r. AA 100\u00b0 E 50\u00b0 \u015eekil 1 30\u00b0 BD C B C \u015eekil 2 \t Buna g\u00f6re; |AC|, |AE| ve |BD| uzunluklar\u0131n\u0131n do\u011fru s\u0131ralan\u0131\u015f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A)\t |AE| < |BD| < |AC|\t B) |AC| < |AE| < |BD|\t C)\t |AC| < |BD| < |AE|\t D) |BD| < |AE| < |AC| 2.\t Yere dik olan elektrik dire\u011fi a\u015f\u0131r\u0131 r\u00fczgar nedeniyle yerden 4 metre y\u00fcksekli\u011findeki B noktas\u0131ndan b\u00fck\u00fclm\u00fc\u015f ve A tepe noktas\u0131 yer zeminine de\u011ferek \u015fekildeki duruma gelmi\u015ftir. A BB A' OO \t \t Buna g\u00f6re, elektrik dire\u011finin devrilmeden \u00f6nceki boy uzunlu\u011fu tam say\u0131 olarak en az ka\u00e7 metredir? A)\t 7\t B)\t8\t C)\t9\t D)\t10 241 8. S\u0131n\u0131f","TEST - 10 \u00dc\u00e7genin Kenar Uzunluklar\u0131 \u0130le A\u00e7\u0131 \u00d6l\u00e7\u00fcleri Aras\u0131ndaki \u0130li\u015fki 3.\t \u015eekildeki ABC \u00fc\u00e7geninde m`A%BCj > 90\u00b0\u2019dir. AC kenar\u0131na, E noktas\u0131nda de\u011fen B merkezli \u00e7ember yay\u0131 [AB]\u2019n\u0131 D noktas\u0131nda, [BC]\u2019n\u0131 F noktas\u0131nda kesmektedir. A E D \t BF C \t |AD| > |FC| oldu\u011funa g\u00f6re, ABC \u00fc\u00e7geninin i\u00e7 a\u00e7\u0131 \u00f6l\u00e7\u00fcleri ile ilgili a\u015fa\u011f\u0131da verilen s\u0131ralamalardan hangisi do\u011frudur? A)\t m`CWj < m^AWh < m^BVh\t\t\t\t\t\tB) m^AWh < m^BVh < m`CWj C)\t m^BVh < m`CWj < m^AWh\t\t\t\t\t\tD) m^AWh < m`CWj < m^BVh 4.\t Bir \u00fc\u00e7gende b\u00fcy\u00fck a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131nda uzun kenar, k\u00fc\u00e7\u00fck a\u00e7\u0131n\u0131n kar\u015f\u0131s\u0131nda ise k\u0131sa kenar bulunur. Ekrem MARKET MATSEV KOLEJ\u0130 \t B 100. Y\u0131l Caddesi A \t Ekrem\u2019in 100. y\u0131l caddesine olan en k\u0131sa uzakl\u0131\u011f\u0131 10 m oldu\u011funa g\u00f6re, Ekrem\u2019in bulundu\u011fu konumundan market \u00fczerinde g\u00f6sterilmi\u015f A noktas\u0131 ve Matsev Koleji \u00fczerinde g\u00f6sterilmi\u015f B noktas\u0131na olan en k\u0131sa uzak- l\u0131klar\u0131n\u0131n toplam\u0131 metre cinsinden a\u015fa\u011f\u0131dakilerden hangisi olamaz? A)\t 23\t B)\t22\t C)\t21\t D)\t20 8. S\u0131n\u0131f 242","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 11 1.\t K 4.\t A \u00a72 cm 4\u00a713 cm L \u00a77 cm M \t KLM \u00fc\u00e7geninde verilenlere g\u00f6re |KM| ka\u00e7 cm\u2019dir? B 12 cm C A)\t 5 \t B)\t3\t C)\t5\t D)\t2 7 \t Verilenlere g\u00f6re A`A&BCj ka\u00e7 cm2\u2019dir? A)\t 36\t B)\t48\t C)\t72\t D)\t96 2.\t A 5.\t A 2\u00a73 cm \u00a72 cm 5\u00a72 cm D BC 3\u00a72 cm \t \u015eekildeki ABC dik \u00fc\u00e7geninde |BC| ka\u00e7 cm\u2019dir? B 2 cm C A)\t 2 2 \t B)\t 10 \t C)\t 14 \t D)\t4 \t Verilenlere g\u00f6re |AD| ka\u00e7 cm\u2019dir? A)\t 3 5 \t B)\t5\t C)\t6\t D)\t6 2 3.\t B 6.\t A\u015fa\u011f\u0131dakilerden hangisi dik \u00fc\u00e7gendir? 2\u00a73 cm 2\u00e613 cm A) B) 4 cm 4 cm 6 cm 3\u00a75 cm 5\u00a75 cm AC 4\u00a75 cm 7 cm 7\u00a75 cm8 cm C) D) 8 cm 9 cm 8. S\u0131n\u0131f \t Verilenlere g\u00f6re |AC| ka\u00e7 cm\u2019dir? A)\t 4 2 \t B)\t 2 10 \t C)\t8\t D)\t9 \t 4\u00a75 cm 243","TEST - 11 Pisagor Ba\u011f\u0131nt\u0131s\u0131 7.\t A\u015fa\u011f\u0131daki uzunluklardan hangisi bir dik \u00fc\u00e7genin 10.\t A kenar uzunluklar\u0131 olabilir? A)\t 4 cm, 5 cm, 6 cm 15 cm x B)\t 5 cm, 12 cm, 15 cm C)\t6 cm, 8 cm, 12 cm D)\t7 cm, \u00e615 cm, 8 cm B 9 cm D 16 cm C \t Yukar\u0131da verilen ABC \u00fc\u00e7geninde x ka\u00e7 cm\u2019dir? A)\t 13\t B)\t15\t C)\t20\t D)\t25 8.\t E D 11.\t \u015eekildeki ABCD, EFKD ve HBGF karedir. KA \t A HB E FG 25 cm2 C LB 144 cm2 MN D KC \t \u015eekilde ABC dik \u00fc\u00e7gen, ABLK, CNMB ve EDCA ka- \t A(EFKD) = 16 cm2, A(HBGF) = 9 cm2 oldu\u011funa redir. g\u00f6re |AF| + |FC| toplam\u0131 ka\u00e7 cm\u2019dir? \t A(ABLK) = 25 cm2 ve A(CNMB) = 144 cm2 oldu\u011fu- A)\t 6\t B)\t8\t C)\t10\t D)\t12 na g\u00f6re, A(EDCA) ka\u00e7 cm2 dir? A)\t 100\t B)\t121\t C)\t144\t D)\t169 12.\t K L 8\u00a75 cm M 9.\t Alan\u0131 240 cm2 olan dikd\u00f6rtgenin k\u0131sa kenar\u0131 10 cm \t \u015eekildeki 2|KM| = |KL| \t LM = 8 5,m`K%LMj = 90\u00b0 ise |KL| ka\u00e7 cm\u2019dir? ise k\u00f6\u015fegen uzunlu\u011fu ka\u00e7 santimetredir? A)\t 13\t B)\t24\t C)\t26\t D)\t39 A)\t 4\t B)\t8\t C)\t10\t D)\t16 8. S\u0131n\u0131f 244","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 12 1.\t y 4.\t A N M 13 cm O x B 5 cm C 11 cm D \t \u015eekilde verilenlere g\u00f6re |AD| ka\u00e7 cm\u2019dir? \t Koordinat d\u00fczleminde M(-1,2) ve N(5,4) noktalar\u0131 ve- A)\t 12\t B)\t16\t C)\t20\t D)\t24 riliyor. \t M ile N noktalar\u0131 aras\u0131ndaki en k\u0131sa uzakl\u0131k ka\u00e7 birimdir? A)\t 6\t B)\t 2 10 \t C)\t8\t D)\t10 2 2.\t A 13 cm B 5.\t Hangi \u00fc\u00e7genin hipoten\u00fcs\u00fc olamaz? A)\t \u0130kizkenar \u00fc\u00e7gen\t B)\t Dik \u00fc\u00e7gen 8 cm C)\t E\u015fkenar \u00fc\u00e7gen\t D)\t \u00c7e\u015fitkenar \u00fc\u00e7gen D 19 cm C \t Verilenlere g\u00f6re |BC| ka\u00e7 santimetredir? A)\t 6\t B)\t9\t C)\t10\t D)\t15 3.\t A 6.\t A 3 cm G F 4 cm E 45 cm 7 cm 3 cm 5 cm B 36 cm C B 5 cm D C \t Verilenlere g\u00f6re |GE| ka\u00e7 cm\u2019dir? \t \u015eekilde verilenlere g\u00f6re |AB| ka\u00e7 cm\u2019dir? A)\t 4\t B)\t5\t C)\t6\t D)\t7 A)\t 21\t B)\t24\t C)\t27\t D)\t32 245 8. S\u0131n\u0131f","TEST - 12 Pisagor Ba\u011f\u0131nt\u0131s\u0131 7.\t A B 10.\t KL FE 6m GD CM 8m \t \u015eekilde ABCD, KLMC ve FEDG karedir. \t \u015eekilde verilen duvara 8 m uzaktan yasland\u0131r\u0131ld\u0131\u011f\u0131nda 6 m y\u00fcksekli\u011fe \u00e7\u0131k\u0131labiliyor. \t A(ABCD) = 289 cm2 ve A (FEDG) = 25 cm2 ve A(KLMC) = 144 cm2\u2019dir. \t Buna g\u00f6re 8 m y\u00fckse\u011fe \u00e7\u0131kabilmek i\u00e7in merdiven duvara ka\u00e7 metre yakla\u015ft\u0131r\u0131lmal\u0131d\u0131r? \t Verilenlere g\u00f6re F noktas\u0131ndan harekete ba\u015flayan ve \u00e7izgilerin \u00fczerinden y\u00fcr\u00fcyen ka\u011flumba\u011fa en A)\t 1\t B)\t2\t C)\t3\t D)\t4 k\u0131sa yoldan L noktas\u0131na geldi\u011finde ka\u00e7 cm gitmi\u015f olur? A)\t 22\t B)\t29\t C)\t36\t D)\t43 8.\t 11.\t D E C 72 cm AB \t Gizem, 72 cm uzunlu\u011fundaki teli b\u00fckerek bir dik \u00fc\u00e7- gen elde ediyor. \t Bu dik \u00fc\u00e7genin dik kenar uzunluklar\u0131, a\u015fa\u011f\u0131daki- lerden hangisidir? a b \t \u015eekilde ABCD dikd\u00f6rtgen; A) 18 24 B) 15 36 \t |AB| = 24 cm, |AD| = 8 cm ve |EB| = 17 cm oldu\u011fu- C) 16 30 na g\u00f6re |DE| ka\u00e7 cm\u2019dir? D) 21 28 A)\t 9\t B)\t12\t C)\t15\t D)\t16 9.\t A 17 cm B 12.\t D 10 cm C 5 cm 10 cm DE C \t \u015eekilde D merkezli \u00e7eyrek \u00e7ember ve ABCD dikd\u00f6rt- A 18 cm B gendir. \t |AD| = 5 cm, |AB| = 17 cm oldu\u011funa g\u00f6re |BE| ka\u00e7 \t \u015eekildeki ABCD dik yamu\u011funun \u00e7evresi ka\u00e7 santimetredir? cm\u2019dir? A)\t 8\t B)\t13\t C)\t15\t D)\t20 A)\t 40\t B)\t44\t C)\t48\t D)\t52 8. S\u0131n\u0131f 246","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 13 1.\t A\u015fa\u011f\u0131da kenar uzunluklar\u0131 2 br ve 14 br olan iki e\u015f 4.\t \t\t\t A B 15 dikd\u00f6rtgen, kenarlar\u0131 \u00e7ak\u0131\u015facak \u015fekilde yan yana ko- nuluyor. E \t\t A DC B \t \u015eekildeki ABCD bir karedir. [BE] ~ [CE], \t Alan(ABCD) = 289 cm2 ve |BE| = 15 cm ise, \t |CE| ka\u00e7 cm dir? \t Buna g\u00f6re, A ile B k\u00f6\u015feleri aras\u0131ndaki uzakl\u0131k ka\u00e7 A)\t 3\t B)\t4\t C)\t7\t D)\t8 birimdir? A)\t 16\t B)\t20\t C)\t24\t D)\t30 5.\t \t\t A 2.\t B x C x cm D A 12 17 10 15 cm B 10 C D E 8 cm O \t \u015eekilde verilen ABC \u00fc\u00e7geninde; \t OACE bir dikd\u00f6rtgen, \t \u015eekildeki B, C, D noktalar\u0131 \u00e7eyrek \u00e7ember \u00fczerindedir. \t |BD| = |BC| = 10 cm, |DC| = 12 cm ve \t Buna g\u00f6re x ka\u00e7 santimetredir? \t |AB| = 17 cm ise, |AD| = x ka\u00e7 cm dir? A)\t 15\t B)\t9\t C)\t6\t D)\t5 A)\t 1\t B)\t2\t C)\t3\t D)\t4 3.\t A 6.\t y 8 2 cm 3 cm C 3 B 5 cm D 7 cm E O4 x 15 \t Verilenlere g\u00f6re |AE|\u2019nin en k\u0131sa uzunlu\u011fu ka\u00e7 \t \u015eekildeki koordinat sisteminde verilenlere g\u00f6re cm\u2019dir? taral\u0131 b\u00f6lgenin \u00e7evresi ka\u00e7 cm\u2019dir? A)\t 87 \t B)\t13\t C)\t15\t D)\t17 A)\t 33\t B)\t38\t C)\t40\t D)\t48 247 8. S\u0131n\u0131f","TEST - 13 Pisagor Ba\u011f\u0131nt\u0131s\u0131 7.\t Birim karelerden olu\u015fan a\u015fa\u011f\u0131daki \u015fekilde; A, B ve C 10.\tBir park\u0131n ve i\u00e7indeki havuzun pl\u00e2n\u0131 \u015fekildeki gibi ka- noktalar\u0131ndan ge\u00e7en \u00e7ember \u00e7iziliyor. reli ka\u011f\u0131da \u00e7izilmi\u015ftir. \t MN B A \t LK C \t Havuzun \u00e7evresinin uzunlu\u011fu 32 m oldu\u011funa g\u00f6re, park\u0131n \u00e7evresinin uzunlu\u011fu ka\u00e7 metredir? \t Buna g\u00f6re, a\u015fa\u011f\u0131daki noktalardan hangisi bu \u00e7ember \u00fczerindedir? A)\t 32 2 \t B)\t48\t C)\t 48 2 \t D)\t64 A)\t K\t B)\tL\t C)\tM\t D)\tN 8.\t B A 11.\t \t\t A B K 10 cm F N 3 cm C L MD \t KLMN ve ABCD e\u015f dikd\u00f6rtgenlerdir. \t |KL| = 3 cm, |KN| = 10 cm, D 8 cm E2 cmC \t |AN| = |ND|\u2019dir. \t Verilenlere g\u00f6re |LD| ka\u00e7 cm\u2019dir? \t \u015eekilde verilen ABCD kare, D noktas\u0131 AC yay\u0131n\u0131n merkezidir. A)\t 13\t B)\t14\t C)\t15\t D)\t16 \t Verilenlere g\u00f6re taral\u0131 alan ka\u00e7 cm2\u2019dir? 9.\t \t\t A A)\t 20\t B)\t24\t C)\t28\t D)\t32 25 cm 25 cm B 14 cm C 12.\t\u0130p uzunluklar\u0131 s\u0131ras\u0131yla 15 m ve 20 m olan iki u\u00e7urt- \t \u015eekildeki ABC \u00fc\u00e7geninde; \t Verilenlere g\u00f6re A`A&BCj ka\u00e7 cm2\u2019dir? man\u0131n ipleri ayn\u0131 noktadan bir zemine ba\u011flanm\u0131\u015ft\u0131r. Bu u\u00e7urtmalar ipleri gergin \u015fekilde 12 m y\u00fckseklikte A)\t 144\t B)\t168\t C)\t175\t D)\t178 u\u00e7uruluyor. 8. S\u0131n\u0131f \t Buna g\u00f6re, u\u00e7urtmalar aras\u0131ndaki uzakl\u0131k en \u00e7ok ka\u00e7 metredir? A)\t 25\t B)\t27\t C)\t32\t D)\t35 248","Pisagor Ba\u011f\u0131nt\u0131s\u0131 TEST - 14 1.\t \t 4.\t A\u00e7\u0131l\u0131p kapanabilir bir sand\u0131kl\u0131 yata\u011f\u0131n 250 cm uzunlu- \u011fundaki kapa\u011f\u0131 \u015fekildeki gibi a\u00e7\u0131ld\u0131\u011f\u0131nda yerden y\u00fck- sekli\u011fi Kamil\u2019in boyuna e\u015fit olmaktad\u0131r. \t 28 m 250 cm 13 m 50 cm Sand\u0131k 25 cm 8m \t Sand\u0131\u011f\u0131n y\u00fcksekli\u011fi 25 cm oldu\u011funa g\u00f6re Kamil\u2019in \t Boylar\u0131 13 m ve 28 m olan iki apartman aras\u0131 8 m dir. boyu ka\u00e7 cm\u2019dir? \t \u0130ki apartman aras\u0131na \u015fekildeki gibi kablo \u00e7ekilmek A)\t 125\t B)\t150\t C)\t175\t D)\t200 istenirse, en az ka\u00e7 m kablo gerekir? A)\t 13\t B)\t14\t C)\t15\t D)\t17 2.\t Yere dik olan elektrik dire\u011fi a\u015f\u0131r\u0131 r\u00fczg\u00e2r nedeniyle B 5.\t Uzunlu\u011fu 30 metre olan bayrak dire\u011fi f\u0131rt\u0131na nedeniy- noktas\u0131ndan b\u00fck\u00fclm\u00fc\u015f ve A tepe noktas\u0131 yer zeminine le tam ortadan k\u0131r\u0131lm\u0131\u015f ve dire\u011fin u\u00e7 noktas\u0131 \u015fekilde de\u011ferek \u015fekildeki gibi AI durumuna gelmi\u015ftir. g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi dire\u011fe 12 metre uzakl\u0131kta bulunan du- var\u0131n \u00fczerine gelmi\u015ftir. A ? B 5m \t 12 3m \t Buna g\u00f6re, duvar\u0131n y\u00fcksekli\u011fi ka\u00e7 metredir? \t O A\u0131 A)\t 3\t B)\t4\t C)\t5\t D)\t6 \t Buna g\u00f6re, son durumda AI noktas\u0131n\u0131n A nokta- s\u0131na olan uzakl\u0131\u011f\u0131 ka\u00e7 metredir? A)\t 4 3 \t B)\t 4 5 \t C)\t10\t D)\t12 6.\t Dikd\u00f6rtgen \u015feklindeki bir par\u00e7a ka\u011f\u0131t a\u015fa\u011f\u0131daki \u015fekil- 3.\t \t\t A de g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi tam ortadan ikiye katlan\u0131yor. Daha sonra noktal\u0131 do\u011fru boyunca kesiliyor. \t 4 cm 1 cm B 5 cm DC 3 cm 2 cm \t Bir kenar\u0131 16 cm uzunlu\u011funda olan karesel b\u00f6lge \u015fek- \t Geriye kalan ka\u011f\u0131t par\u00e7as\u0131 a\u00e7\u0131ld\u0131\u011f\u0131nda olu\u015fan \u015fek- lindeki bir ka\u011f\u0131t \u015fekildeki gibi [AB] boyunca katlan\u0131yor. lin \u00f6n y\u00fcz\u00fcn\u00fcn alan\u0131 ka\u00e7 cm2\u2019dir? \t Olu\u015fan ABCD d\u00f6rtgeninin \u00e7evre uzunlu\u011fu ka\u00e7 cm\u2019dir? A)\t 32\t B)\t38\t C)\t44\t D)\t48 A)\t 44\t B)\t56\t C)\t60\t D)\t70 249 8. S\u0131n\u0131f"]
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