10-sinf Matematika olimpiada №4 Oktabr 18, 2022Oktabr 18, 2022 da chop etilgan InfoMaster tomonidan 10-sinf Matematika olimpiada №4 ga fikr bildirilmagan. 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! 10-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. Agar ikkita teng tomonli uchburchakning tomonlari uchun munosabat o‘rinli bo‘lsa, katta uchburchak yuzini kichik uchburchak yuziga nisbatini toping. A) 7 B) 8 C) 6 D) 9 2 / 30 2. tengsizlik yechimi bo`la oladigan tub sonlar nechta? A) 2 B) 4 C) 3 D) 5 3 / 30 3. 7(kx−2)=7k+2(x−8) tenglama k ning qanday qiymatlarida ildizga ega bo`lmaydi? A) (2/7; ∞) B) ∅ C) k=2/7 D) (−∞; 2/7) 4 / 30 4. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 15 B) 14 C) 17 D) 16 5 / 30 5. Agar A) π B) 0 C) 3π/2 D) π/2 6 / 30 6. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi: 7 ∆ 1 operatsiya natijasini toping. A) 86 B) 592 C) 32 D) 125 7 / 30 7. tenglama bilan berilgan aylananing markazi koordinata tekisligining qaysi choragida yotadi? A) IV B) I C) II D) III 8 / 30 8. 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 9 / 30 9. Chizmada ABCD −parallelolgramm. DE ni ntoping. A) 4 B) 5 C) 9 D) 6 10 / 30 10. Agar ni toping. A) 4 B) 0.8 C) 8 D) 0.16 11 / 30 11. Chizmada AE = 2, BE= 6, DE= 3. Aylana diametrini toping. A) 2√45 B) √65 C) 36 D) √25 12 / 30 12. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 49 B) 51 C) 53 D) 4 13 / 30 13. f(x) = ax² + b funksiya grafigi A(-1;5) va B(2;-1) nuqtalardan o‘tadi. f(5 − f(1)) ning qiymatini toping. A) 7 B) 2 C) 6 D) 5 14 / 30 14. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 53 B) 4 C) 49 D) 51 15 / 30 15. ABCD qavariq to‘rtburchakka aylana ichki chizilgan. Agar АВ = 7, BC= 11 bo‘lsa, CD − AD ni toping. A) 2 B) 4 C) 3 D) 5 16 / 30 16. Raqamlari yig‘indisi 3 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 53 B) 56 C) 54 D) 55 17 / 30 17. bo‘lsa, f (5 − f (1− f (1− f (0)))) ni toping. A) 18 B) 21 C) 20 D) 19 18 / 30 18. ?³?³ = 1024 tenglikni qanoatlantiruvchi nechta (?; b) butun sonlar juftligi mavjud? A) 3 B) 4 C) 2 D) 5 19 / 30 19. tenglama nechta haqiqiy yechimga ega? A) 1 B) 4 C) 3 D) 2 20 / 30 20. ∠BAD= ∠ABD= 20∘, ∠DBC= 110∘, ∠BCD= 30∘ va AB= 2, CD=? A) 3 B) 4 C) 1 D) 2 21 / 30 21. 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) 13 B) 14 C) 11 D) 12 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 10 C) 3 va 15 D) 3 23 / 30 23. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 10 B) 16 C) 15 D) 3 24 / 30 24. 1,2,3,4…..,2021,2022 sonlar orasidan nechtasi 3 ga ham, 7 ga ham bo‘linmaydi? A) 1156 B) 1098 C) 1128 D) 1084 25 / 30 25. Tenglamani yeching: A) -1 B) 15/17 C) 0 D) 8/17 26 / 30 26. Soddalashtiring: bunda, |?| < 3 A) 1-2? B) 9 C) 2? − 9 D) 9-2? 27 / 30 27. Soddalashtiring: A) 2a B) a+b C) 2b D) a-b 28 / 30 28. 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 29 / 30 29. ? = ?²− 2 parabolaga ? = 2 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) ? = ?² + 8? − 14 B) ? = ?² − 8? − 2 C) ? = ?² + 8? + 2 D) ? = ?² − 8? + 14 30 / 30 30. bo’lsa, (2? − 3)² ifodaning qiymatini toping. A) 6 B) 5 C) 3 D) 2 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada