11-sinf Matematika olimpiada №3 Oktabr 4, 2022Oktabr 4, 2022 da chop etilgan InfoMaster tomonidan 11-sinf Matematika olimpiada №3 ga 3 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 11-sinf Matematika olimpiada №3 2021-2022 o'quv yilida viloyat bosqichida tushgan savollar 1 / 25 1. tenglama nechta ildizga ega? A) 2 B) 3 C) 1 D) 4 2 / 25 2. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping . A) π/4 B) π/2 C) π/3 D) 0 3 / 25 3. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -4⁵ B) -2⁹ C) -4⁴ D) -2¹¹ 4 / 25 4. bo‘lsa, ?² + ?² ni toping. A) 20.2 B) 61/20 C) 20 D) 65/21 5 / 25 5. Soddalashtiring: A) cosx B) 3cos2x C) 3sin2x D) 3cosx 6 / 25 6. Hisoblang: A) 1.5 B) 0 C) 1 D) 2 7 / 25 7. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) √5 B) 4 C) 1 D) 2 8 / 25 8. 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) 3 B) 5 C) 4 D) 6 9 / 25 9. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) C B) A C) B D) D 10 / 25 10. To‘g‘ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslari nisbati 2 : 5 bo‘lsa, uchburchakning katta o‘tkir burchagining kosinusini toping. A) 0.8 B) 0.2 C) 0.5 D) 0.6 11 / 25 11. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 3 B) 2 C) 4 D) 1 12 / 25 12. Soddalashtiring: A) 1 B) 2sinα C) cosα D) 2 13 / 25 13. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -6 B) -11 C) -5 D) -7 14 / 25 14. Quyidagi sonlar orasidan musbat sonni aniqlang. A) C B) D C) A D) B 15 / 25 15. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 8 B) 12 C) 10 D) 6 16 / 25 16. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 120° B) 90° C) 30° D) 60° 17 / 25 17. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 2 B) 3 C) 4 D) 1 18 / 25 18. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 15 B) 14 C) 12 D) 16 19 / 25 19. 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) 1.4 B) √6/2 C) √5/2 D) 4/3 20 / 25 20. 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) 175/48 B) 3 C) 177/48 D) 211/47 21 / 25 21. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 1 B) 0 C) 2 D) 3 22 / 25 22. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) D B) B C) A D) C 23 / 25 23. 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) 433 B) 444 C) 443 D) 423 24 / 25 24. 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) 27 D) 28 25 / 25 25. 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) 120/17 C) 20/3 D) 60/7 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada
What Freud Can Teach Us About Workers Compensation Legal Workers’ compensation attorneys
How To Beat Your Boss On Pvc Window Repairs Upvc window Repair
One Of The Most Innovative Things Happening With Boot Scooter Arlen Nizo