Uy » Online olimpiada » Matematika olimpiada » 10-sinf Matematika olimpiada №2 Matematika olimpiadaTuman 2019-2020 o'quv yili 10-sinf Matematika olimpiada №2 InfoMaster Avgust 19, 2024 114 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 1 9 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 10-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. ko‘phadni standart ko‘rinishda ifodalangandagi koeffitsientlar yig‘indisini toping. 1. 2. 3. 4.1 A) 2 B) 1 C) 3 D) 4 2 / 25 2. Teng yonli uchburchakning asosi 12 sm, yon tomoni 18 sm. Yon tomonlariga bissektrisalar tushirilgan. Bissektrisalarning tomonlari bilan kesishgan nuqtalari orasidagoi masofani toping. A) 8,1 sm B) 5,6 sm C) 6,4 sm D) 7,2 sm 3 / 25 3. Agar f(x+1) =7+3x funksiya uchun f (a)=2 tenglik o`rinli bo`lsa, a ning qiymatini toping. A) 12 B) 8 C) 10 D) -2/3 4 / 25 4. Tengsizlikni yeching: A) (2/3;2) B) (4/3;3) C) (1/2;∞) D) (5/3;2) 5 / 25 5. Uchburchakning tomonlari 7 va 11 ga, uchinchi tomonining medianasi √21 ga teng. Uchburchakning uchunchi tomonini toping. A) 14 B) 12 C) 15 D) 16 6 / 25 6. Ko`paytmani hisoblang. cos12°cos24°cos36°cos48°cos60°cos72°cos84° A) 1/128 B) 1/64 C) 1/32 D) 1/16 7 / 25 7. ifodani soddalshtiring A) 2sinα B) 2cosα C) cosα D) 1 8 / 25 8. Funksiyaning aniqlanish sohasini toping. A) (3/4;4) B) (3/4;7) C) (-∞;3/4)∪(4; 7] D) [3/4;7] 9 / 25 9. 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) 18 D) 12 10 / 25 10. 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) 20 B) 12 C) 10 D) 4 11 / 25 11. Berilgan funksiyaga teskari funksiyani aniqlang. f(x)=x2f2(x)+f(x) A) II B) I C) IV D) III 12 / 25 12. 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) 50% C) 65% D) 70% 13 / 25 13. Hisoblang: A) 1/4 B) -1/4 C) 1/8 D) -1/8 14 / 25 14. 2x²-2ax+1=0 kvadrat tenglama ildizlari uchun tengliko`rinlibo`lsa, a ni toping. A) 1 B) 7 C) -3 D) -1 15 / 25 15. 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; ∞) 16 / 25 16. tengsizlik yechimi bo`la oladigan tub sonlar nechta? A) 3 B) 4 C) 2 D) 5 17 / 25 17. [2x-1]=x tenglamani butun yechimlar sonini toping. Bu yerda [a]− a sonining butun qismi. A) 3 ta B) 4 ta C) 1 ta D) 2 ta 18 / 25 18. Beshta a1, a2, a3, a4, a5 tub sonlar ayirmasi 6 ga teng bo`lgan arifmetik progressiyani tashkil qiladi. 2a2+a3 ni toping. A) 40 B) 31 C) 43 D) 39 19 / 25 19. Uchburchakning ikkita burchagi mos ravishda 38o va 52oga teng. Uchinchi burchagi uchidan tushirilgan bissektrisa va mediana orasidagi burchakni toping. A) 14° B) 17° C) 7° D) 10° 20 / 25 20. bo'lsa kasrning qiymatini hisoblang. A) √11-2 B) 2-√11 C) √11-1 D) √11+1 21 / 25 21. Agar f(g(x))=x²-6x+6 va f(x)=x−3 funksiyalar berilgan bo`lsa, g(x) funksiya ko`rinishini aniqlang. A) (x-3)² B) x²-12-3 C) (x+3)² D) x²+12x+3 22 / 25 22. Tenglamaning ildizini nimchoragi nechaga teng ? A) 20/69 B) 0,25 C) 0,5 D) 0,125 23 / 25 23. Agar x²(a²+b²+9)+2(a+b+3)x+3=0 tenglama haqiqiy yechimga ega bo`lsa, a+b ni toping. A) 4 B) 2 C) 6 D) 3 24 / 25 24. Uchburchakning ikki tomoni 12 va 13 sm ga, ular orasidagi burchak kosinusi 5/13 ga teng bo`lsa, uning yuzini toping. A) 70 B) 60 C) 71 D) 72 25 / 25 25. trigonometrik tenglamani yeching. A) π/12+πk; k∈Z B) π/12+2πk; k∈Z C) π/6+πk; k∈Z D) π/12+πk/2; k∈Z 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
