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) 6 C) 8 D) 9 2 / 30 2. Ta`lim muassasida barcha o`quvchilar kamida bitta ingliz yoki nemis tilida so`zlashа oladilar. Ayrimlari ikkala tilni ham biladilar. O`quvchilarning 85%i ingliz tilini, 75%i nemis tilini biladilar. Ikkala tilni ham biladigan o`quvchilar barcha o`quvchilarning necha % ini tashkil etadi. A) 65% B) 50% C) 70% D) 60% 3 / 30 3. bo'lsa kasrning qiymatini hisoblang. A) √11-2 B) √11+1 C) 2-√11 D) √11-1 4 / 30 4. Agar cos ∠A = 1/5 va sin∠B = 1/2 bo‘lsa, АВС uchburchakning mos ravishda А va В uchlaridan tushirilgan balandliklar nisbatini toping. A) 5√2/5 B) 5√3/12 C) 5√6/24 D) 2/5 5 / 30 5. Qavariq to‘rtburchakning diagonallari 3 va 4 ga teng. Agar qarama qarshi tomonlarining o‘rtalarini tutashtirishdan hosil bo‘lgan kesmalar uzunliklari o‘zaro teng bo‘lsa, qavariq to‘rtburchakning yuzini toping. A) 5 B) 7 C) 6 D) 8 6 / 30 6. ? = ?²− 2 parabolaga ? = 2 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) ? = ?² + 8? + 2 B) ? = ?² − 8? + 14 C) ? = ?² + 8? − 14 D) ? = ?² − 8? − 2 7 / 30 7. Soddalashtiring: A) 2a B) a+b C) 2b D) a-b 8 / 30 8. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 3 B) 2 va 3 C) 3 va 15 D) 3 va 10 9 / 30 9. ABCD qavariq to‘rtburchakka aylana ichki chizilgan. Agar АВ = 7, BC= 11 bo‘lsa, CD − AD ni toping. A) 4 B) 2 C) 3 D) 5 10 / 30 10. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 49 B) 4 C) 53 D) 51 11 / 30 11. f(x) = ax² + b funksiya grafigi A(-1;5) va B(2;-1) nuqtalardan o‘tadi. f(5 − f(1)) ning qiymatini toping. A) 5 B) 2 C) 7 D) 6 12 / 30 12. Tenglamani yeching: A) 2 B) 5 C) 4 D) 3 13 / 30 13. ∠BAD= ∠ABD= 20∘, ∠DBC= 110∘, ∠BCD= 30∘ va AB= 2, CD=? A) 1 B) 3 C) 2 D) 4 14 / 30 14. Chizmada ABCD −parallelolgramm. DE ni ntoping. A) 6 B) 5 C) 4 D) 9 15 / 30 15. 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) 11 B) 14 C) 12 D) 13 16 / 30 16. bo‘lsa, f (5 − f (1− f (1− f (0)))) ni toping. A) 18 B) 20 C) 21 D) 19 17 / 30 17. Soddalashtiring: bunda, |?| < 3 A) 1-2? B) 9 C) 9-2? D) 2? − 9 18 / 30 18. ?1 va ?2 sonlari ?² − 7? − 1 = 0 tenglama ildizlari bo‘lsa, ?²1 + ?²2 ni toping. A) 49 B) 53 C) 51 D) 4 19 / 30 19. ABCD qavariq to‘rtburchakda ∠BAD= ∠CDA= 60∘, ∠BDA= ∠CAB, AB= 2 va CD= 9 bo‘lsa, AD ni toping. A) 12 B) 11 C) 9 D) 6 20 / 30 20. Chizmada AE = 2, BE= 6, DE= 3. Aylana diametrini toping. A) 2√45 B) √25 C) √65 D) 36 21 / 30 21. Tenglamani yeching: A) -1 B) 8/17 C) 15/17 D) 0 22 / 30 22. 1,2,3,4…..,2021,2022 sonlar orasidan nechtasi 3 ga ham, 7 ga ham bo‘linmaydi? A) 1128 B) 1098 C) 1084 D) 1156 23 / 30 23. Qavariq o‘n ikki burchakning diagonallar sonini toping. A) 36 B) 48 C) 54 D) 40 24 / 30 24. Agar bo'lsa, ni toping. A) 4 B) 3.5 C) 4.5 D) 5 25 / 30 25. ? parametrning qanday musbat qiymatlarida ?² − (? + 3)? + 3? + 11 = 0 tenglamaning barcha ildizlari butun sonlardan iborat bo‘ladi? A) 3 B) 16 C) 15 D) 10 26 / 30 26. ?³?³ = 1024 tenglikni qanoatlantiruvchi nechta (?; b) butun sonlar juftligi mavjud? A) 5 B) 4 C) 2 D) 3 27 / 30 27. tenglama bilan berilgan aylananing markazi koordinata tekisligining qaysi choragida yotadi? A) I B) IV C) II D) III 28 / 30 28. tenglama nechta haqiqiy yechimga ega? A) 3 B) 1 C) 4 D) 2 29 / 30 29. bo’lsa, (2? − 3)² ifodaning qiymatini toping. A) 2 B) 5 C) 6 D) 3 30 / 30 30. Agar ni toping. A) 8 B) 0.16 C) 0.8 D) 4 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada