11-sinf Matematika olimpiada №2 Iyul 17, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 11-sinf Matematika olimpiada №2 ga 6 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 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. funksiyaning qiymatlar to‘plamini toping. A) [1;4] B) [-1;3] C) [-2;2] D) [1;3] 3 / 25 3. 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 4 / 25 4. Tenglamani yeching: A) πk; π−arcctg4+πk; k∈Z B) π −arcctg4+πk; k∈Z C) πk; −arcctg4+πk; k∈Z D) arccos0,8+2πk; k∈Z 5 / 25 5. 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 6 / 25 6. ifodani soddalshtiring A) 2sinα B) cosα C) 1 D) 2cosα 7 / 25 7. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [2;∞) B) [−2;∞) C) (−∞;−2] D) [−2;0] 8 / 25 8. ni hisoblang. A) -13 B) 13 C) -12 D) 12 9 / 25 9. Perimetri 4 ga o`tkir burchagi 30oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping. A) 7-4√3 B) (√3-1)/2 C) 4√3+7 D) (1+√3)/2 10 / 25 10. Ifodani soddalashtiring: A) 0 B) 1+√(a+1) C) √(a²-1) D) 1−√(a-1) 11 / 25 11. 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) 2√2 C) 2 D) 15/7 12 / 25 12. funksiyaning aniqlanish sohasini toping. A) (-∞;4/3) B) (-∞;2/3)∪(2/3;∞) C) (2/3;∞) D) (-∞;4/3)∪(4/3;∞) 13 / 25 13. 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) −7 va 5 D) 5 va 7 14 / 25 14. 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) 49 B) 51 C) 52 D) 50 15 / 25 15. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 70% B) 61% C) 60% D) 71% 16 / 25 16. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping. A) 1 B) 4√3-6 C) 2√2−1 D) 6-2√3 17 / 25 17. 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) 10 B) 15 C) 20 D) 18 18 / 25 18. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) 1 B) a=3 C) (0;3) D) a>3, a=0 19 / 25 19. y=6sin2x+sin12x funksiyaning hosilasini toping. A) 24sin5xcos7x B) −24sin7xcos5x C) 24sin7xsin5x D) 24cos7xcos5x 20 / 25 20. 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) √10 B) 12√30 C) 6 D) √30 21 / 25 21. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 10 B) 11 C) 13 D) 12 22 / 25 22. funksiyaning boshlang`ich funksiyasini toping. A) IV B) III C) I D) II 23 / 25 23. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) (3(1-a))/(1+b) B) (1−a)(1+b) C) 1+b D) 3(1−a) 24 / 25 24. 3cos2x-3 sin2x=0 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) 25 / 25 25. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) 7sin5x−5sin7x+c B) 7cos5x−5cos7x+c C) 7sin5x+5sin7x+C D) −7cos5x−5cos7x+c 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
