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. 1!+2!+3!+.....+10! sonining oxirgi raqamini toping. A) 6 B) 7 C) 0 D) 3 2 / 25 2. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4 A) [2;∞) B) [−2;0] C) (−∞;−2] D) [−2;∞) 3 / 25 3. Hisoblang: A) 172/249 B) 81/109 C) 85/104 D) 95/243 4 / 25 4. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 27 B) 28 C) 29 D) 26 5 / 25 5. 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 6 / 25 6. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 1 B) 0 C) 2 D) 3 7 / 25 7. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 2 B) 1 C) 3 D) 4 8 / 25 8. Tenglamalar sistemasi nechta yechimga ega? A) 12 B) 10 C) 6 D) 8 9 / 25 9. To‘g‘ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslari nisbati 2 : 5 bo‘lsa, uchburchakning katta o‘tkir burchagining kosinusini toping. A) 0.2 B) 0.5 C) 0.8 D) 0.6 10 / 25 10. 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) 3 C) 6 D) 4 11 / 25 11. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -4⁴ B) -2⁹ C) -4⁵ D) -2¹¹ 12 / 25 12. 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 13 / 25 13. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 7 sm B) 14 sm C) 18 sm D) 12 sm 14 / 25 14. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) √5 B) 1 C) 2 D) 4 15 / 25 15. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 16 B) 14 C) 12 D) 15 16 / 25 16. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -5 B) -11 C) -7 D) -6 17 / 25 17. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 12 B) 6 C) 10 D) 8 18 / 25 18. Ikki xonali sonni qandaydir natural songa bo‘lganda bo‘linmada 3 va qoldiqda 8 hosil bo‘ladi. Agar bo‘linuvchining raqamlari o‘rni almashtirilsa va bo‘luvchi son o‘zgarishsiz qoldirilsa, u holda bo‘linmada 2 va qoldiqda 5 hosil bo‘ladi. Bo‘linuvchning dastlabki qiymatini toping. A) 73 B) 53 C) 65 D) 55 19 / 25 19. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 19 B) 11 C) 21 D) 10 20 / 25 20. bo‘lsa, ?² + ?² ni toping. A) 20 B) 20.2 C) 61/20 D) 65/21 21 / 25 21. Hisoblang: A) 1 B) 2 C) 0 D) 1.5 22 / 25 22. Soddalashtiring: A) IV B) III C) II D) I 23 / 25 23. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 60° B) 30° C) 90° D) 120° 24 / 25 24. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) C C) D D) A 25 / 25 25. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) C B) B C) A D) D 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
