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. Beshyulduzning uchidagi burchaklarining yig‘indisini toping. A) 270° B) 90° C) 180° D) 240° 2 / 25 2. funksiyaning aniqlanish sohasini toping. A) (2/3;∞) B) (-∞;4/3) C) (-∞;4/3)∪(4/3;∞) D) (-∞;2/3)∪(2/3;∞) 3 / 25 3. 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) 55 B) 65 C) 53 D) 73 4 / 25 4. 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 5 / 25 5. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 7 sm B) 12 sm C) 18 sm D) 14 sm 6 / 25 6. 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 7 / 25 7. Soddalashtiring: A) II B) I C) IV D) III 8 / 25 8. bo‘lsa, ?² + ?² ni toping. A) 20 B) 61/20 C) 20.2 D) 65/21 9 / 25 9. Hisoblang: A) 95/243 B) 81/109 C) 85/104 D) 172/249 10 / 25 10. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 120° B) 90° C) 60° D) 30° 11 / 25 11. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) 2 B) 1 C) 4 D) √5 12 / 25 12. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -2⁹ B) -2¹¹ C) -4⁴ D) -4⁵ 13 / 25 13. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 3 B) 1 C) 4 D) 2 14 / 25 14. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -5 B) -6 C) -11 D) -7 15 / 25 15. 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) 175/48 D) 3 16 / 25 16. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 2 B) 4 C) 1 D) 3 17 / 25 17. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) C C) D D) A 18 / 25 18. Soddalashtiring: A) 3cos2x B) cosx C) 3sin2x D) 3cosx 19 / 25 19. Uchburchakning tomonlari 10, 24 va 26. Aylananing markazi uchburchakning katta tomonida yotadi va ikki kichik tomonlari bu aylanaga urinadi. Aylana radiusini toping. A) 60/7 B) 120/17 C) 20/3 D) 260/17 20 / 25 20. 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) √5/2 D) √6/2 21 / 25 21. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) A B) B C) C D) D 22 / 25 22. 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) 4 B) 5 C) 3 D) 6 23 / 25 23. 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) 0.8 D) 0.5 24 / 25 24. 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 25 / 25 25. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 3 B) 0 C) 2 D) 1 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz