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! 11-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. tenglama nechta ildizga ega? A) 4 B) 1 C) 3 D) 2 2 / 25 2. 1!+2!+3!+.....+10! sonining oxirgi raqamini toping. A) 7 B) 6 C) 0 D) 3 3 / 25 3. 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) 25/12 B) 15/7 C) 2 D) 2√2 4 / 25 4. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 71% B) 60% C) 61% D) 70% 5 / 25 5. Perimetri 4 ga o`tkir burchagi 30oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping. A) (1+√3)/2 B) (√3-1)/2 C) 4√3+7 D) 7-4√3 6 / 25 6. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) π/2 B) 0 C) π/4 D) π/3 7 / 25 7. Asosi ga teng bo`lgan muntazam to`rtburchakli piramidaning uchidan o`tkazilgan kesma asos tomonini 2:4 nisbatda bo`ladi va asos tekisligi bilan 60o li burchakhosilqiladi. Piramidahajmini toping. A) 12√30 B) √10 C) √30 D) 6 8 / 25 8. y=6sin2x+sin12x funksiyaning hosilasini toping. A) 24sin5xcos7x B) 24sin7xsin5x C) −24sin7xcos5x D) 24cos7xcos5x 9 / 25 9. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) (3(1-a))/(1+b) B) 1+b C) 3(1−a) D) (1−a)(1+b) 10 / 25 10. 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) 51 B) 50 C) 52 D) 49 11 / 25 11. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 13 B) 12 C) 11 D) 10 12 / 25 12. 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) 100 B) 27 C) 216 D) 45 13 / 25 13. funksiyaning aniqlanish sohasini toping. A) (2/3;∞) B) (-∞;2/3)∪(2/3;∞) C) (-∞;4/3) D) (-∞;4/3)∪(4/3;∞) 14 / 25 14. Tenglamani yeching: A) πk; π−arcctg4+πk; k∈Z B) π −arcctg4+πk; k∈Z C) arccos0,8+2πk; k∈Z D) πk; −arcctg4+πk; k∈Z 15 / 25 15. 3cos2x-3 sin2x=0 trigonometrik tenglamani yeching. A) π/12+πk; k∈Z B) π/6+πk; k∈Z C) π/12+πk/2; k∈Z) D) π/12+2πk; k∈Z 16 / 25 16. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) 1 B) a>3, a=0 C) a=3 D) (0;3) 17 / 25 17. Tengsizlikni yeching. A) (4/3;3) B) (5/3;2) C) (1/2;∞) D) (2/3;2) 18 / 25 18. ni hisoblang. A) 12 B) 13 C) -13 D) -12 19 / 25 19. Ifodani soddalashtiring: A) √(a²-1) B) 1−√(a-1) C) 1+√(a+1) D) 0 20 / 25 20. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping. A) −7 va 5 B) 5 va 7 C) −7 va −5 D) −5 va 7 21 / 25 21. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) 7sin5x−5sin7x+c B) −7cos5x−5cos7x+c C) 7sin5x+5sin7x+C D) 7cos5x−5cos7x+c 22 / 25 22. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping. A) 6-2√3 B) 4√3-6 C) 1 D) 2√2−1 23 / 25 23. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [−2;0] B) (−∞;−2] C) [−2;∞) D) [2;∞) 24 / 25 24. ifodani soddalshtiring A) cosα B) 2sinα C) 1 D) 2cosα 25 / 25 25. 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) 15 B) 20 C) 18 D) 10 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada