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 17 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. tengsizlik yechimlari joylashgan interval uzunligini toping. A) 0,25 B) 0,125 C) 0,5 D) 0,75 2 / 25 2. 750 ning oxirgi ikkita raqamini toping. A) 49 B) 25 C) 35 D) 51 3 / 25 3. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [−2;0] B) [2;∞) C) (−∞;−2] D) [−2;∞) 4 / 25 4. funksiyaning aniqlanish sohasini toping. A) (-∞;2/3)∪(2/3;∞) B) (-∞;4/3)∪(4/3;∞) C) (-∞;4/3) D) (2/3;∞) 5 / 25 5. Ifodani soddalashtiring: A) 0 B) 1−√(a-1) C) 1+√(a+1) D) √(a²-1) 6 / 25 6. 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) √30 C) 6 D) √10 7 / 25 7. Agar lg5=a va lg3=b bo`lsa, log308 ni toping. A) (1−a)(1+b) B) (3(1-a))/(1+b) C) 3(1−a) D) 1+b 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) 6-2√3 B) 1 C) 2√2−1 D) 4√3-6 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) (1+√3)/2 B) 7-4√3 C) (√3-1)/2 D) 4√3+7 10 / 25 10. Tengsizlikni yeching. A) (2/3;2) B) (1/2;∞) C) (4/3;3) D) (5/3;2) 11 / 25 11. Tenglamani yeching: A) π −arcctg4+πk; k∈Z B) πk; π−arcctg4+πk; k∈Z C) arccos0,8+2πk; k∈Z D) πk; −arcctg4+πk; k∈Z 12 / 25 12. funksiyaning boshlang`ich funksiyasini toping. A) I B) II C) III D) IV 13 / 25 13. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) π/3 B) π/2 C) 0 D) π/4 14 / 25 14. ni hisoblang. A) 12 B) -12 C) 13 D) -13 15 / 25 15. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) 7cos5x−5cos7x+c B) 7sin5x+5sin7x+C C) −7cos5x−5cos7x+c D) 7sin5x−5sin7x+c 16 / 25 16. ifodani soddalshtiring A) cosα B) 1 C) 2sinα D) 2cosα 17 / 25 17. y=6sin2x+sin12x funksiyaning hosilasini toping. A) −24sin7xcos5x B) 24sin5xcos7x C) 24cos7xcos5x D) 24sin7xsin5x 18 / 25 18. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 70% B) 71% C) 61% D) 60% 19 / 25 19. 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 B) 15/7 C) 2√2 D) 25/12 20 / 25 20. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 11 B) 10 C) 13 D) 12 21 / 25 21. 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) 45 C) 216 D) 27 22 / 25 22. 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) 23 / 25 23. 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) 15 B) 20 C) 10 D) 18 24 / 25 24. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping. A) −7 va −5 B) 5 va 7 C) −5 va 7 D) −7 va 5 25 / 25 25. 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) 72 C) 18 D) 288 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz