Uy » Online olimpiada » Matematika olimpiada » 11-sinf Matematika olimpiada №2 Matematika olimpiadaTuman 2019-2020 o'quv yili 11-sinf Matematika olimpiada №2 InfoMaster Avgust 19, 2024 18 Ko'rishlar 3 izohlar SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 11-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. 2, 3, 4, 5, 6, 7, 8, 9, 10 sonlariga bo‘lganda mos ravishda 1, 2, 3, 4, 5, 6, 7, 8, 9 qoldiqlar hosil bo‘ladigan eng kichik natural sonni toping A) 1519 B) 2519 C) 5039 D) 1019 2 / 25 2. tenglama t ning qanday qiymatida uchta ildizga ega bo‘ladi? A) Ø B) 3 C) 2 D) 5 3 / 25 3. Ifodani soddalashtiring: A) 1−√(a-1) B) 0 C) 1+√(a+1) D) √(a²-1) 4 / 25 4. Tenglamani yeching: A) arccos0,8+2πk; k∈Z B) πk; −arcctg4+πk; k∈Z C) πk; π−arcctg4+πk; k∈Z D) π −arcctg4+πk; k∈Z 5 / 25 5. 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) 52 B) 49 C) 51 D) 50 6 / 25 6. 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) 234 B) 288 C) 18 D) 72 7 / 25 7. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 10 B) 12 C) 11 D) 13 8 / 25 8. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) 7sin5x+5sin7x+C B) 7cos5x−5cos7x+c C) −7cos5x−5cos7x+c D) 7sin5x−5sin7x+c 9 / 25 9. 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) 2√2−1 C) 4√3-6 D) 6-2√3 10 / 25 10. |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) 11 / 25 11. ni hisoblang. A) 12 B) 13 C) -13 D) -12 12 / 25 12. 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 13 / 25 13. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 71% B) 61% C) 70% D) 60% 14 / 25 14. 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) √30 C) √10 D) 12√30 15 / 25 15. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [−2;∞) B) [2;∞) C) (−∞;−2] D) [−2;0] 16 / 25 16. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping. A) −7 va 5 B) −7 va −5 C) 5 va 7 D) −5 va 7 17 / 25 17. funksiyaning aniqlanish sohasini toping. A) (-∞;4/3) B) (-∞;4/3)∪(4/3;∞) C) (-∞;2/3)∪(2/3;∞) D) (2/3;∞) 18 / 25 18. y=6sin2x+sin12x funksiyaning hosilasini toping. A) −24sin7xcos5x B) 24sin7xsin5x C) 24sin5xcos7x D) 24cos7xcos5x 19 / 25 19. Tengsizlikni yeching. A) (4/3;3) B) (2/3;2) C) (1/2;∞) D) (5/3;2) 20 / 25 20. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) 0 B) π/4 C) π/3 D) π/2 21 / 25 21. 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) 20 C) 15 D) 18 22 / 25 22. 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) (1+√3)/2 D) 7-4√3 23 / 25 23. 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 C) 2√2 D) 15/7 24 / 25 24. funksiyaning boshlang`ich funksiyasini toping. A) IV B) II C) III D) I 25 / 25 25. 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 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz