11-sinf Matematika olimpiada №2 Iyul 17, 2022Iyul 17, 2022 da chop etilgan InfoMaster tomonidan 11-sinf Matematika olimpiada №2 ga fikr bildirilmagan. 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 11-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Ifodaning oxirgi raqamini aniqlang: A) 3 B) 6 C) 1 D) 0 2 / 25 2. tenglama nechta natural yechimga ega? A) 4 B) 2 C) 1 D) 3 3 / 25 3. funksiyaning aniqlanish sohasini toping. A) (-∞;2/3)∪(2/3;∞) B) (-∞;4/3)∪(4/3;∞) C) (-∞;4/3) D) (2/3;∞) 4 / 25 4. ABCD tetraedrning D uchidagi barcha yassi burchaklari to`g`ri. Shu tetraedrda kub shunday ichki chizilganki, kubning bitta uchi D nuqtada, unga qarama−qarshi uchi esa ABC yoqda yotibdi. Agar DA=5, DB=6 va DC=10 bo`lsa, kub qirrasining uzunligini toping. A) 15/7 B) 25/12 C) 2 D) 2√2 5 / 25 5. Tengsizlikni yeching. A) (5/3;2) B) (2/3;2) C) (4/3;3) D) (1/2;∞) 6 / 25 6. a+b=−1 a+c=6 va b+c=1 bo`lsa, a² (3b+3c+2a)+b² (3a+3c+2b)+c² (3a+3b+2c) ning son qiymatini toping. A) 216 B) 27 C) 100 D) 45 7 / 25 7. ifodani soddalshtiring A) cosα B) 2cosα C) 2sinα D) 1 8 / 25 8. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 60% B) 61% C) 71% D) 70% 9 / 25 9. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) 1 B) a>3, a=0 C) (0;3) D) a=3 10 / 25 10. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping. A) −5 va 7 B) −7 va 5 C) 5 va 7 D) −7 va −5 11 / 25 11. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) π/4 B) π/2 C) π/3 D) 0 12 / 25 12. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) 3(1−a) B) (1−a)(1+b) C) (3(1-a))/(1+b) D) 1+b 13 / 25 13. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) −7cos5x−5cos7x+c B) 7sin5x−5sin7x+c C) 7sin5x+5sin7x+C D) 7cos5x−5cos7x+c 14 / 25 14. funksiyaning boshlang`ich funksiyasini toping. A) IV B) III C) II D) I 15 / 25 15. Bir savdogar 1 mеtrini 1200 tiyindan olgan matosini yuvib, kuritgandan so`ng 1800 tiyindan sotyapti. Mato yuvilib kuritilganidan so`ng 20 foizi qisqardi. Bularga ko`ra savdogar nеcha foiz foyda ko`radi? A) 18 B) 10 C) 15 D) 20 16 / 25 16. y=6sin2x+sin12x funksiyaning hosilasini toping. A) −24sin7xcos5x B) 24sin5xcos7x C) 24sin7xsin5x D) 24cos7xcos5x 17 / 25 17. Ifodani soddalashtiring: A) 0 B) 1−√(a-1) C) √(a²-1) D) 1+√(a+1) 18 / 25 18. Tenglamani yeching: A) πk; π−arcctg4+πk; k∈Z B) πk; −arcctg4+πk; k∈Z C) arccos0,8+2πk; k∈Z D) π −arcctg4+πk; k∈Z 19 / 25 19. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 10 B) 11 C) 13 D) 12 20 / 25 20. Perimetri 4 ga o`tkir burchagi 30oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping. A) (√3-1)/2 B) 7-4√3 C) 4√3+7 D) (1+√3)/2 21 / 25 21. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping. A) 4√3-6 B) 2√2−1 C) 6-2√3 D) 1 22 / 25 22. ni hisoblang. A) -12 B) -13 C) 13 D) 12 23 / 25 23. GH kesmani O nuqta, G nuqtadan boshlab hisoblaganda, 5 : 7 kabi, P nuqtaesa 5:11 kabi nisbatda bo’ladi. O va P nuqtalar orasidagi masofa 30 sm bo’lsa, GH kesmaning uzunligini toping. A) 18 B) 234 C) 72 D) 288 24 / 25 24. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [2;∞) B) [−2;∞) C) [−2;0] D) (−∞;−2] 25 / 25 25. Bitta tekislikda yotuvchi n ta turli tog`ri chiziq o`tkazilgan. Ularning ixtiyoriy ikkitasi parallel emas va ixtiyoriy uchtasi bitta nuqtadan o`tmaydi ,ya`ni bitta nuqtada kesishmaydi. Bu to`g`ri chiziqlar tekislikni 1276 qismga ajratadi. n ni aniqlang? A) 50 B) 49 C) 52 D) 51 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada