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. 750 ning oxirgi ikkita raqamini toping. A) 49 B) 51 C) 35 D) 25 2 / 25 2. tenglama nechta natural yechimga ega? A) 2 B) 1 C) 3 D) 4 3 / 25 3. 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√2 C) 15/7 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. Tenglamani yeching: A) arccos0,8+2πk; k∈Z B) π −arcctg4+πk; k∈Z C) πk; −arcctg4+πk; k∈Z D) πk; π−arcctg4+πk; k∈Z 6 / 25 6. 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) 7 / 25 7. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping. A) 4√3-6 B) 2√2−1 C) 1 D) 6-2√3 8 / 25 8. Perimetri 4 ga o`tkir burchagi 30oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping. A) 7-4√3 B) (1+√3)/2 C) (√3-1)/2 D) 4√3+7 9 / 25 9. y=6sin2x+sin12x funksiyaning hosilasini toping. A) 24sin7xsin5x B) −24sin7xcos5x C) 24cos7xcos5x D) 24sin5xcos7x 10 / 25 10. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [−2;0] B) [2;∞) C) [−2;∞) D) (−∞;−2] 11 / 25 11. Ifodani soddalashtiring: A) √(a²-1) B) 0 C) 1+√(a+1) D) 1−√(a-1) 12 / 25 12. Tengsizlikni yeching. A) (1/2;∞) B) (5/3;2) C) (4/3;3) D) (2/3;2) 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) √30 C) 12√30 D) √10 14 / 25 14. ifodani soddalshtiring A) 2cosα B) 1 C) cosα D) 2sinα 15 / 25 15. 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 16 / 25 16. funksiyaning boshlang`ich funksiyasini toping. A) II B) I C) IV D) III 17 / 25 17. 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) 51 B) 50 C) 49 D) 52 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) 18 B) 72 C) 288 D) 234 19 / 25 19. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 71% B) 70% C) 61% D) 60% 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) 100 B) 45 C) 216 D) 27 21 / 25 21. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi. A) a=3 B) (0;3) C) 1 D) a>3, a=0 22 / 25 22. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping. A) 7sin5x+5sin7x+C B) 7sin5x−5sin7x+c C) −7cos5x−5cos7x+c D) 7cos5x−5cos7x+c 23 / 25 23. 3cos2x-3 sin2x=0 trigonometrik tenglamani yeching. A) π/12+2πk; k∈Z B) π/12+πk; k∈Z C) π/12+πk/2; k∈Z) D) π/6+πk; k∈Z 24 / 25 24. 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) 18 B) 10 C) 20 D) 15 25 / 25 25. ni hisoblang. A) 13 B) 12 C) -13 D) -12 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz