11-sinf Matematika olimpiada №2 Iyul 17, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 11-sinf Matematika olimpiada №2 ga 6 fikr bildirilgan 1 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 11-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Sonlarni kamayish tartibida joylashtiring: A) c>b>a B) a>b>c C) b>c>a D) c>a>b 2 / 25 2. 750 ning oxirgi ikkita raqamini toping. A) 49 B) 51 C) 25 D) 35 3 / 25 3. 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) 20 B) 15 C) 10 D) 18 4 / 25 4. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) a=3 B) 1 C) (0;3) D) a>3, a=0 5 / 25 5. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [−2;0] B) [−2;∞) C) [2;∞) D) (−∞;−2] 6 / 25 6. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) 0 B) π/3 C) π/2 D) π/4 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) 6 C) √10 D) √30 8 / 25 8. 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) 6-2√3 D) 4√3-6 9 / 25 9. 3cos2x-3 sin2x=0 trigonometrik tenglamani yeching. A) π/6+πk; k∈Z B) π/12+πk; k∈Z C) π/12+2πk; k∈Z D) π/12+πk/2; k∈Z) 10 / 25 10. y=6sin2x+sin12x funksiyaning hosilasini toping. A) 24cos7xcos5x B) −24sin7xcos5x C) 24sin7xsin5x D) 24sin5xcos7x 11 / 25 11. ni hisoblang. A) -12 B) 12 C) 13 D) -13 12 / 25 12. funksiyaning boshlang`ich funksiyasini toping. A) I B) IV C) III D) II 13 / 25 13. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 13 B) 11 C) 12 D) 10 14 / 25 14. 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) 2√2 B) 2 C) 25/12 D) 15/7 15 / 25 15. funksiyaning aniqlanish sohasini toping. A) (2/3;∞) B) (-∞;4/3)∪(4/3;∞) C) (-∞;4/3) D) (-∞;2/3)∪(2/3;∞) 16 / 25 16. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) −7cos5x−5cos7x+c B) 7cos5x−5cos7x+c C) 7sin5x+5sin7x+C D) 7sin5x−5sin7x+c 17 / 25 17. 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) 4√3+7 C) 7-4√3 D) (√3-1)/2 18 / 25 18. 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) 72 C) 18 D) 234 19 / 25 19. 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 20 / 25 20. Tengsizlikni yeching. A) (2/3;2) B) (5/3;2) C) (4/3;3) D) (1/2;∞) 21 / 25 21. Ifodani soddalashtiring: A) 1+√(a+1) B) √(a²-1) C) 0 D) 1−√(a-1) 22 / 25 22. Tenglamani yeching: A) arccos0,8+2πk; k∈Z B) πk; π−arcctg4+πk; k∈Z C) πk; −arcctg4+πk; k∈Z D) π −arcctg4+πk; k∈Z 23 / 25 23. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) 3(1−a) B) (3(1-a))/(1+b) C) 1+b D) (1−a)(1+b) 24 / 25 24. 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) 50 C) 51 D) 52 25 / 25 25. ifodani soddalshtiring A) 2sinα B) 1 C) 2cosα D) cosα 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
