Uy » Online olimpiada » Matematika olimpiada » 11-sinf Matematika olimpiada №3 Matematika olimpiadaViloyat 2021-2022 o'quv yili 11-sinf Matematika olimpiada №3 InfoMaster Avgust 19, 2024 13 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 11-sinf Matematika olimpiada №3 2021-2022 o'quv yilida viloyat bosqichida tushgan savollar 1 / 25 1. 750 ning oxirgi ikkita raqamini toping. A) 51 B) 35 C) 25 D) 49 2 / 25 2. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping. A) 1 B) 2√2−1 C) 4√3-6 D) 6-2√3 3 / 25 3. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) D B) A C) C D) B 4 / 25 4. Soddalashtiring: A) IV B) III C) I D) II 5 / 25 5. Uchburchakning tomonlari 10, 24 va 26. Aylananing markazi uchburchakning katta tomonida yotadi va ikki kichik tomonlari bu aylanaga urinadi. Aylana radiusini toping. A) 60/7 B) 20/3 C) 260/17 D) 120/17 6 / 25 6. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 6 B) 12 C) 8 D) 10 7 / 25 7. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -2⁹ B) -4⁴ C) -2¹¹ D) -4⁵ 8 / 25 8. Hisoblang: A) 2 B) 1.5 C) 0 D) 1 9 / 25 9. АВCDE beshburchak berilgan, М, N, Р va Q nuqtalar —АВ, ВС, CD va DE tomonlarning o‘rtalari. Agar U va V — МP? va NQ ning o‘rtasi bo‘lsa, АЕ: UV nisbatni toping. A) 6 B) 3 C) 4 D) 5 10 / 25 10. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 6 C) 12 D) 10 11 / 25 11. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 26 B) 29 C) 28 D) 27 12 / 25 12. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 2 B) 1 C) 3 D) 0 13 / 25 13. To‘g‘ri burchakli uchburchak o‘tkir burchaklari yarimlarining tangenslari ko‘paytmasi 1/6 ga teng bo‘lsa, uchburchak o‘tkir burchaklarining kosinuslari yig‘indisini toping. A) √6/2 B) √5/2 C) 1.4 D) 4/3 14 / 25 14. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -5 B) -11 C) -7 D) -6 15 / 25 15. Soddalashtiring: A) cosx B) 3cosx C) 3cos2x D) 3sin2x 16 / 25 16. Hisoblang: A) 81/109 B) 85/104 C) 95/243 D) 172/249 17 / 25 17. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 90° B) 60° C) 120° D) 30° 18 / 25 18. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 12 sm B) 14 sm C) 7 sm D) 18 sm 19 / 25 19. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) C C) D D) A 20 / 25 20. Berilgan natural son 400 dan katta va 500 dan kichik. Uning raqamlari yig‘indisi 9 va u berilgan sonning raqamlari teskari tartibda yozilgan sonning 47/36 qismiga teng. Berilgan sonni toping. A) 443 B) 444 C) 423 D) 433 21 / 25 21. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 15 B) 12 C) 14 D) 16 22 / 25 22. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 3 B) 1 C) 2 D) 4 23 / 25 23. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 2 B) 3 C) 4 D) 1 24 / 25 24. Soddalashtiring: A) 2sinα B) 1 C) cosα D) 2 25 / 25 25. bo‘lsa, ?² + ?² ni toping. A) 20 B) 65/21 C) 61/20 D) 20.2 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
