10-sinf Matematika olimpiada №2 Iyul 4, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 10-sinf Matematika olimpiada №2 ga 4 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 10-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Hisoblang: A) 2 B) 4 C) 1 D) 3 2 / 25 2. Tengsizlikning butun yechimlarining o‘rta arifmetik qiymatini toping: A) -5/2 B) -4/3 C) -10/3 D) -3 3 / 25 3. trigonometrik tenglamani yeching. A) π/12+πk; k∈Z B) π/6+πk; k∈Z C) π/12+2πk; k∈Z D) π/12+πk/2; k∈Z 4 / 25 4. Uchburchakning ikkita burchagi mos ravishda 38o va 52oga teng. Uchinchi burchagi uchidan tushirilgan bissektrisa va mediana orasidagi burchakni toping. A) 7° B) 14° C) 17° D) 10° 5 / 25 5. Beshta a1, a2, a3, a4, a5 tub sonlar ayirmasi 6 ga teng bo`lgan arifmetik progressiyani tashkil qiladi. 2a2+a3 ni toping. A) 31 B) 43 C) 40 D) 39 6 / 25 6. Ko`paytmani hisoblang. cos12°cos24°cos36°cos48°cos60°cos72°cos84° A) 1/64 B) 1/32 C) 1/128 D) 1/16 7 / 25 7. Agar f(g(x))=x²-6x+6 va f(x)=x−3 funksiyalar berilgan bo`lsa, g(x) funksiya ko`rinishini aniqlang. A) x²-12-3 B) x²+12x+3 C) (x-3)² D) (x+3)² 8 / 25 8. Agar f(x+1) =7+3x funksiya uchun f (a)=2 tenglik o`rinli bo`lsa, a ning qiymatini toping. A) -2/3 B) 12 C) 8 D) 10 9 / 25 9. 7(kx−2)=7k+2(x−8) tenglama k ning qanday qiymatlarida ildizga ega bo`lmaydi? A) ∅ B) (2/7; ∞) C) k=2/7 D) (−∞; 2/7) 10 / 25 10. Tengsizlikni yeching: A) (4/3;3) B) (2/3;2) C) (1/2;∞) D) (5/3;2) 11 / 25 11. Berilgan funksiyaga teskari funksiyani aniqlang. f(x)=x2f2(x)+f(x) A) II B) III C) I D) IV 12 / 25 12. Korxona xom−ashyuo qimmatlashgani sababli maxsulot narxi 20% ga oshirildi, biroq mijojlar soni 20 % ga kamayib ketdi. Shunda korxona narxni qanchadir foizga kamaytirib mijozlari sonini 25% ga oshirishga erishdi. Shundan keyin korxona tushumi narx o`zgarmasdan oldingi tushumga qaraganda 8% ga oshgan bo`lsa, yangi narx necha foizga kamaytirilgan? A) 10 B) 12 C) 20 D) 4 13 / 25 13. [2x-1]=x tenglamani butun yechimlar sonini toping. Bu yerda [a]− a sonining butun qismi. A) 2 ta B) 4 ta C) 3 ta D) 1 ta 14 / 25 14. Funksiyaning aniqlanish sohasini toping. A) [3/4;7] B) (3/4;7) C) (3/4;4) D) (-∞;3/4)∪(4; 7] 15 / 25 15. Uchburchakning tomonlari 7 va 11 ga, uchinchi tomonining medianasi √21 ga teng. Uchburchakning uchunchi tomonini toping. A) 15 B) 12 C) 14 D) 16 16 / 25 16. tengsizlik yechimi bo`la oladigan tub sonlar nechta? A) 4 B) 3 C) 5 D) 2 17 / 25 17. Tenglamaning ildizini nimchoragi nechaga teng ? A) 20/69 B) 0,25 C) 0,125 D) 0,5 18 / 25 18. Agar x²(a²+b²+9)+2(a+b+3)x+3=0 tenglama haqiqiy yechimga ega bo`lsa, a+b ni toping. A) 2 B) 6 C) 4 D) 3 19 / 25 19. Hisoblang: A) -1/8 B) -1/4 C) 1/8 D) 1/4 20 / 25 20. Ta`lim muassasida barcha o`quvchilar kamida bitta ingliz yoki nemis tilida so`zlashа oladilar. Ayrimlari ikkala tilni ham biladilar. O`quvchilarning 85%i ingliz tilini, 75%i nemis tilini biladilar. Ikkala tilni ham biladigan o`quvchilar barcha o`quvchilarning necha % ini tashkil etadi. A) 60% B) 65% C) 50% D) 70% 21 / 25 21. Uchburchakning ikki tomoni 12 va 13 sm ga, ular orasidagi burchak kosinusi 5/13 ga teng bo`lsa, uning yuzini toping. A) 60 B) 72 C) 71 D) 70 22 / 25 22. 2x²-2ax+1=0 kvadrat tenglama ildizlari uchun tengliko`rinlibo`lsa, a ni toping. A) 1 B) 7 C) -1 D) -3 23 / 25 23. f(x)=x²-4x va f(x)=-2x²+8x-p funksiyalar umumiy uchga ega bo`lsa, p ning qiymatini toping. A) 24 B) 6 C) 12 D) 18 24 / 25 24. ifodani soddalshtiring A) 2cosα B) 1 C) cosα D) 2sinα 25 / 25 25. bo'lsa kasrning qiymatini hisoblang. A) √11-1 B) 2-√11 C) √11-2 D) √11+1 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
