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. Beshyulduzning uchidagi burchaklarining yig‘indisini toping. A) 240° B) 180° C) 90° D) 270° 2 / 25 2. a,b-to‘g‘ri burchakli uchburchakning katetlari va h-gipotenuzaga tushirilgan balandligi bo‘lsa, yig‘indini toping. A) 2 B) 1 C) 3 D) 4 3 / 25 3. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 60% B) 61% C) 70% D) 71% 4 / 25 4. funksiyaning boshlang`ich funksiyasini toping. A) I B) III C) IV D) II 5 / 25 5. 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 6 / 25 6. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 10 B) 13 C) 12 D) 11 7 / 25 7. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) π/2 B) π/3 C) 0 D) π/4 8 / 25 8. funksiyaning aniqlanish sohasini toping. A) (-∞;2/3)∪(2/3;∞) B) (-∞;4/3) C) (-∞;4/3)∪(4/3;∞) D) (2/3;∞) 9 / 25 9. 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) 52 C) 51 D) 50 10 / 25 10. y=6sin2x+sin12x funksiyaning hosilasini toping. A) −24sin7xcos5x B) 24sin7xsin5x C) 24cos7xcos5x D) 24sin5xcos7x 11 / 25 11. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [2;∞) B) [−2;∞) C) [−2;0] D) (−∞;−2] 12 / 25 12. 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) 288 B) 18 C) 72 D) 234 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) 5 va 7 C) −7 va 5 D) −7 va −5 14 / 25 14. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) −7cos5x−5cos7x+c B) 7sin5x−5sin7x+c C) 7sin5x+5sin7x+C D) 7cos5x−5cos7x+c 15 / 25 15. 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) 4√3+7 C) 7-4√3 D) (1+√3)/2 16 / 25 16. 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) 6 B) 12√30 C) √30 D) √10 17 / 25 17. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) a=3 B) (0;3) C) a>3, a=0 D) 1 18 / 25 18. Tengsizlikni yeching. A) (1/2;∞) B) (5/3;2) C) (2/3;2) D) (4/3;3) 19 / 25 19. ifodani soddalshtiring A) cosα B) 1 C) 2sinα D) 2cosα 20 / 25 20. 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) 45 B) 216 C) 100 D) 27 21 / 25 21. 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 22 / 25 22. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) (3(1-a))/(1+b) B) 3(1−a) C) (1−a)(1+b) D) 1+b 23 / 25 23. Tenglamani yeching: A) πk; π−arcctg4+πk; k∈Z B) arccos0,8+2πk; k∈Z C) πk; −arcctg4+πk; k∈Z D) π −arcctg4+πk; k∈Z 24 / 25 24. 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√2 D) 2 25 / 25 25. ni hisoblang. A) 12 B) -13 C) -12 D) 13 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada