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 6 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. Sonlarni kamayish tartibida joylashtiring: A) b>c>a B) a>b>c C) c>b>a D) c>a>b 2 / 25 2. funksiyaning boshlang`ich funksiyasini toping. A) IV B) II C) I D) III 3 / 25 3. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 8 C) 6 D) 12 4 / 25 4. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 0 B) 3 C) 2 D) 1 5 / 25 5. To‘g‘ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslari nisbati 2 : 5 bo‘lsa, uchburchakning katta o‘tkir burchagining kosinusini toping. A) 0.6 B) 0.2 C) 0.5 D) 0.8 6 / 25 6. Uchburchakning tomonlari 10, 24 va 26. Aylananing markazi uchburchakning katta tomonida yotadi va ikki kichik tomonlari bu aylanaga urinadi. Aylana radiusini toping. A) 20/3 B) 120/17 C) 60/7 D) 260/17 7 / 25 7. Hisoblang: A) 1 B) 0 C) 1.5 D) 2 8 / 25 8. Soddalashtiring: A) 3sin2x B) 3cosx C) 3cos2x D) cosx 9 / 25 9. Teng yonli АВС uchburchakda: АВ = ВС = 25 sm va АС = 14 sm. ВС tomonga AD balandlikning D asosida urinuvchi va АС tomon o‘rtasidan o‘tuvchi aylana radiusini toping. A) 211/47 B) 177/48 C) 3 D) 175/48 10 / 25 10. Quyidagi sonlar orasidan musbat sonni aniqlang. A) A B) D C) B D) C 11 / 25 11. bo‘lsa, ?² + ?² ni toping. A) 20 B) 20.2 C) 61/20 D) 65/21 12 / 25 12. 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) 5 B) 6 C) 3 D) 4 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) 4/3 B) 1.4 C) √6/2 D) √5/2 14 / 25 14. Soddalashtiring: A) II B) I C) IV D) III 15 / 25 15. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 26 B) 27 C) 29 D) 28 16 / 25 16. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) C B) D C) B D) A 17 / 25 17. 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) 423 B) 443 C) 433 D) 444 18 / 25 18. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 6 B) 10 C) 8 D) 12 19 / 25 19. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -2⁹ B) -2¹¹ C) -4⁴ D) -4⁵ 20 / 25 20. Hisoblang: A) 81/109 B) 85/104 C) 172/249 D) 95/243 21 / 25 21. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -6 B) -5 C) -7 D) -11 22 / 25 22. Soddalashtiring: A) 2 B) 1 C) 2sinα D) cosα 23 / 25 23. Agar a = √5 + 1 va b = √5 − 1 bo‘lsa, 2a² − ab − a² ifodaning qiymatini toping. A) √5 + 6 B) 3√5 + 6 C) 6√5 + 2 D) 6√5 + 1 24 / 25 24. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 12 sm B) 18 sm C) 14 sm D) 7 sm 25 / 25 25. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 2 B) 1 C) 4 D) 3 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
