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 15 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) 2 B) 3 C) 1 D) 4 2 / 25 2. ifodani soddalshtiring A) 2cosα B) 2sinα C) 1 D) cosα 3 / 25 3. Hisoblang: A) 1 B) 2 C) 0 D) 1.5 4 / 25 4. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 2 B) 3 C) 1 D) 4 5 / 25 5. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -2⁹ B) -2¹¹ C) -4⁵ D) -4⁴ 6 / 25 6. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 8 C) 10 D) 12 7 / 25 7. 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) 3 C) 177/48 D) 175/48 8 / 25 8. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 1 B) 4 C) 2 D) 3 9 / 25 9. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 10 B) 8 C) 12 D) 6 10 / 25 10. Hisoblang: A) 81/109 B) 85/104 C) 172/249 D) 95/243 11 / 25 11. 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) 423 C) 444 D) 443 12 / 25 12. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) 4 B) 1 C) √5 D) 2 13 / 25 13. To‘g‘ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslari nisbati 2 : 5 bo‘lsa, uchburchakning katta o‘tkir burchagining kosinusini toping. A) 0.5 B) 0.8 C) 0.6 D) 0.2 14 / 25 14. Soddalashtiring: A) cosα B) 2 C) 1 D) 2sinα 15 / 25 15. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) D B) B C) A D) C 16 / 25 16. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) B B) D C) A D) C 17 / 25 17. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 21 B) 10 C) 11 D) 19 18 / 25 18. Soddalashtiring: A) cosx B) 3sin2x C) 3cosx D) 3cos2x 19 / 25 19. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 28 B) 29 C) 27 D) 26 20 / 25 20. bo‘lsa, ?² + ?² ni toping. A) 61/20 B) 20.2 C) 20 D) 65/21 21 / 25 21. 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) 4 C) 5 D) 3 22 / 25 22. Soddalashtiring: A) III B) IV C) I D) II 23 / 25 23. Quyidagi sonlar orasidan musbat sonni aniqlang. A) A B) B C) C D) D 24 / 25 24. 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) √5/2 C) 1.4 D) √6/2 25 / 25 25. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 3 B) 2 C) 1 D) 0 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
