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. funksiyaning grafigi qaysi choraklardan o‘tadi? A) II,III B) I,II C) III,IV D) I,II,III,IV 2 / 25 2. tenglama nechta ildizga ega? A) 3 B) 1 C) 2 D) 4 3 / 25 3. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [2;∞) B) (−∞;−2] C) [−2;0] D) [−2;∞) 4 / 25 4. funksiyaning boshlang`ich funksiyasini toping. A) II B) IV C) I D) III 5 / 25 5. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 70% B) 61% C) 60% D) 71% 6 / 25 6. Tengsizlikni yeching. A) (2/3;2) B) (1/2;∞) C) (5/3;2) D) (4/3;3) 7 / 25 7. 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) −5 va 7 D) −7 va −5 8 / 25 8. 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) 25/12 C) 2 D) 15/7 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) 2√2−1 B) 1 C) 4√3-6 D) 6-2√3 10 / 25 10. 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) 18 C) 15 D) 10 11 / 25 11. Ifodani soddalashtiring: A) 1−√(a-1) B) 0 C) √(a²-1) D) 1+√(a+1) 12 / 25 12. y=6sin2x+sin12x funksiyaning hosilasini toping. A) 24sin5xcos7x B) 24sin7xsin5x C) −24sin7xcos5x D) 24cos7xcos5x 13 / 25 13. 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) √10 D) √30 14 / 25 14. funksiyaning aniqlanish sohasini toping. A) (-∞;2/3)∪(2/3;∞) B) (-∞;4/3)∪(4/3;∞) C) (-∞;4/3) D) (2/3;∞) 15 / 25 15. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) (1−a)(1+b) B) 3(1−a) C) 1+b D) (3(1-a))/(1+b) 16 / 25 16. 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) 18 B) 288 C) 234 D) 72 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. 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 19 / 25 19. 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) 27 B) 45 C) 216 D) 100 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/3 C) π/2 D) π/4 21 / 25 21. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) −7cos5x−5cos7x+c B) 7sin5x+5sin7x+C C) 7sin5x−5sin7x+c D) 7cos5x−5cos7x+c 22 / 25 22. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 11 B) 10 C) 13 D) 12 23 / 25 23. 3cos2x-3 sin2x=0 trigonometrik tenglamani yeching. A) π/12+πk/2; k∈Z) B) π/6+πk; k∈Z C) π/12+πk; k∈Z D) π/12+2πk; k∈Z 24 / 25 24. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) (0;3) B) a=3 C) a>3, a=0 D) 1 25 / 25 25. 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) 50 B) 49 C) 52 D) 51 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
