10-sinf olimpiada test
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10-11-sinf olimp
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J:B 1) 3 2) a)n=1, k=1 b)n=7932, k=2 3)x=100 11-sinf olimpiada test 1. Qator yig‘indisini toping. A) B) C) D) 2. Hisoblang. lntglº+lntg2º+lntg3º+...+lntg89º A) l B) 0 C) D) 3. Eng kichik burchagi 120º ga teng bo‘lgan qavariq ko‘pburchakning ichki burchaklari aynrmasi 5º bo‘lgan arifmetik progressiya tashkil qilishi ma’lum. Bu ko‘pburchakning tomonlari sonini aniqlang. A) 15 B) 5 C) 9 D) 12 4. tenglamadan x ni toping. A) 3 B) -4 C) -3 D) 5 5. bo‘lsa, a+b+c ni toping. A) 35 B) 15 C) 10 D) 12 6. 1+2∙3+3∙32+... + 2010∙32009+ 2011∙32010+ 2012∙32011 yig‘indini hisoblang. A) 1006∙32012- 1 B) (4023∙32012 +1) C) (1006∙32012+1) D) 2012. 7. ABC uchburchakda AM va BN – bissektrisalari O nuqtada kesishadi. Agar AO:OM= :1, BO:ON=1: bo‘lsa, uchburchakning A, B, C burchaklarini toping. A) B) C) D) 8. ABC uchburchakning medianalari 3, 4 va 5 ga teng. Uch burchaklarning yuzini hisoblang. A) 5 B) 10 C) 8 D) 25. 9. Agar bo‘lsa, u holda ni toping. A) 2 B) C) 16 D) 8 10. AC va BD diagonallari o‘zaro perpendikulyar bo‘lgan ABCD to‘rtburchakka radiusi 2 ga teng bo‘lgan aylana tashqi chizilgan. Agar AB=3 bo‘lsa, CD ni toping. A) B) C) D) 11. Agar f(x) = bo‘lsa, f(f(f(f...f(2008)...))) in hisoblang. A) 0 B) C) D) 12. tenglamaning yechimlari yig‘indisini toping. A) B) C) D) 13. bo‘lsa, a+b+c=? A) 6 B) 12 C) 5 D) 7 14. Agar a,b,c (a=BC, b=AC, c=AB) – ABC uchburchakning tomonlari uchun munosabat o‘rinli bo‘lsa, ∠C ni toping. A) 45º B) 60º C) 120º D) 135º 15. Agar tenglama haqiqiy yechimga ega bo`lsa, a+b ni toping. A) 3 B) 6 C) 4 D) 2
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