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 11 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. tenglama nechta natural yechimga ega? A) 3 B) 2 C) 4 D) 1 2 / 25 2. Agar 2a =27, 3c=16 bo’lsa a ∙ ? ning qiymatini toping. A) 13 B) 12 C) 10 D) 11 3 / 25 3. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 7 sm B) 14 sm C) 12 sm D) 18 sm 4 / 25 4. bo‘lsa, ?² + ?² ni toping. A) 61/20 B) 65/21 C) 20.2 D) 20 5 / 25 5. 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) 4 C) 6 D) 3 6 / 25 6. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 8 C) 6 D) 12 7 / 25 7. Agar a = √5 + 1 va b = √5 − 1 bo‘lsa, 2a² − ab − a² ifodaning qiymatini toping. A) √5 + 6 B) 6√5 + 1 C) 3√5 + 6 D) 6√5 + 2 8 / 25 8. Soddalashtiring: A) I B) II C) III D) IV 9 / 25 9. 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) 4/3 C) √5/2 D) 1.4 10 / 25 10. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -4⁴ B) -4⁵ C) -2⁹ D) -2¹¹ 11 / 25 11. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 120° B) 60° C) 30° D) 90° 12 / 25 12. Soddalashtiring: A) 2sinα B) 1 C) 2 D) cosα 13 / 25 13. 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) 433 C) 444 D) 423 14 / 25 14. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) B B) A C) C D) D 15 / 25 15. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 1 B) 3 C) 4 D) 2 16 / 25 16. Uchburchakning tomonlari 10, 24 va 26. Aylananing markazi uchburchakning katta tomonida yotadi va ikki kichik tomonlari bu aylanaga urinadi. Aylana radiusini toping. A) 260/17 B) 20/3 C) 60/7 D) 120/17 17 / 25 17. Soddalashtiring: A) 3sin2x B) 3cos2x C) 3cosx D) cosx 18 / 25 18. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 14 B) 16 C) 15 D) 12 19 / 25 19. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -5 B) -11 C) -6 D) -7 20 / 25 20. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 3 B) 4 C) 1 D) 2 21 / 25 21. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) A C) C D) D 22 / 25 22. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 29 B) 27 C) 26 D) 28 23 / 25 23. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 8 B) 6 C) 10 D) 12 24 / 25 24. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 0 B) 2 C) 1 D) 3 25 / 25 25. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) B B) A C) D D) C 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
