10-sinf Matematika olimpiada №4 Oktabr 18, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 10-sinf Matematika olimpiada №4 ga 4 fikr bildirilgan 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 10-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. ko‘phadni standart ko‘rinishda ifodalangandagi koeffitsientlar yig‘indisini toping. 1. 2. 3. 4.1 A) 2 B) 3 C) 1 D) 4 2 / 30 2. Berilgan funksiyaga teskari funksiyani aniqlang. f(x)=x2f2(x)+f(x) A) II B) IV C) III D) I 3 / 30 3. Agar f(x+1) =7+3x funksiya uchun f (a)=2 tenglik o`rinli bo`lsa, a ning qiymatini toping. A) -2/3 B) 12 C) 10 D) 8 4 / 30 4. ABCD to‘rtburchakda А va В burchaklar- to‘g‘ri, tg∠D = 3/4 va ВС = AD/2 = АВ + 2 bo‘lsa, АС ni toping. A) 10 B) 8 C) 15 D) 9 5 / 30 5. ABC uchburchakning AC tomonida D nuqta olingan, bunda ∠ABC = ∠BDC. Agar AD = 10, CD = 8 bo‘lsa, BC ni toping. A) 15 B) 10 C) 9 D) 12 6 / 30 6. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 49 B) 51 C) 4 D) 53 7 / 30 7. bo’lsa, (2? − 3)² ifodaning qiymatini toping. A) 2 B) 3 C) 6 D) 5 8 / 30 8. Tenglamani yeching: A) 4 B) 5 C) 2 D) 3 9 / 30 9. k parametrning qanday musbat qiymatida 20x²+ ?x + 5 = 0 tenglama bitta ildizga ega? A) 10 B) 20 C) 40 D) 5 10 / 30 10. ?³?³ = 1024 tenglikni qanoatlantiruvchi nechta (?; b) butun sonlar juftligi mavjud? A) 3 B) 5 C) 2 D) 4 11 / 30 11. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 16 B) 3 C) 15 D) 10 12 / 30 12. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 4 B) 51 C) 49 D) 53 13 / 30 13. Agar ni toping. A) 8 B) 0.8 C) 4 D) 0.16 14 / 30 14. 4 ga karrali va o‘nli yozuvida 4, 5, 6, 8 raqamlari bo‘lmagan to‘rt xonali sonlar nechta? A) 120 B) 150 C) 180 D) 210 15 / 30 15. y = 4x² − 3x − 5 parabolaga x(0; 0) nuqtaga nisbatan simmetrik bo‘lgan parabola tenglamasini ko‘rsating. A) y= 4x² − 3x + 5 B) y= -4x² − 3x - 5 C) y= 4x² + 3x - 5 D) y=-4x² − 3x+ 5 16 / 30 16. Soddalashtiring: bunda, |?| < 3 A) 2? − 9 B) 9-2? C) 9 D) 1-2? 17 / 30 17. ABCD qavariq to‘rtburchakda ∠BAD= ∠CDA= 60∘, ∠BDA= ∠CAB, AB= 2 va CD= 9 bo‘lsa, AD ni toping. A) 6 B) 12 C) 9 D) 11 18 / 30 18. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi: 7 ∆ 1 operatsiya natijasini toping. A) 125 B) 592 C) 32 D) 86 19 / 30 19. Supermarketda reklama aksiyasi o‘tkazilmoqda: 3 ta shokolad sotib olgan xaridorga 4-shokolad sovg‘a tariqasida qo‘shib beriladi. Bitta shokolad narxi 28000 so‘m. Xaridor 300 000 so‘m evaziga eng ko‘pi bilan nechta shokolad xarid qila oladi? A) 12 B) 14 C) 11 D) 13 20 / 30 20. Agar bo'lsa, ni toping. A) 4 B) 3.5 C) 5 D) 4.5 21 / 30 21. Tenglamani yeching: A) 15/17 B) 0 C) 8/17 D) -1 22 / 30 22. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 2 va 3 B) 3 va 15 C) 3 va 10 D) 3 23 / 30 23. Chizmada ABCD −parallelolgramm. DE ni ntoping. A) 6 B) 9 C) 5 D) 4 24 / 30 24. y = x²− 2 parabolaga y = 2 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) y = x² + 8x − 14 B) y = x² − 8x + 14 C) y = x² − 8x − 2 D) y = x² + 8x + 2 25 / 30 25. ∠BAD= ∠ABD= 20∘, ∠DBC= 110∘, ∠BCD= 30∘ va AB= 2, CD=? A) 1 B) 2 C) 3 D) 4 26 / 30 26. tenglama bilan berilgan aylananing markazi koordinata tekisligining qaysi choragida yotadi? A) I B) III C) IV D) II 27 / 30 27. Chizmada AE = 2, BE= 6, DE= 3. Aylana diametrini toping. A) √65 B) 36 C) √25 D) 2√45 28 / 30 28. tenglama nechta haqiqiy yechimga ega? A) 3 B) 2 C) 1 D) 4 29 / 30 29. Uchinchi raqami to‘rtinchi raqamidan 1 ga kichik bo‘lgan to‘rt xonali sonlar sonini toping A) 810 B) 720 C) 900 D) 990 30 / 30 30. Qavariq o‘n ikki burchakning diagonallar sonini toping. A) 40 B) 48 C) 36 D) 54 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2022-2023 o'quv yili