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. To‘g‘ri burchakli uchburchakda AC=3, BC=4, CD-balandlik va CE-bissektrisa. DE ni toping. A) 12/35 B) 23/35 C) 15/31 D) 21 2 / 25 2. funksiyaning aniqlanish sohasini toping. A) (-∞;4/3) B) (2/3;∞) C) (-∞;2/3)∪(2/3;∞) D) (-∞;4/3)∪(4/3;∞) 3 / 25 3. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -6 B) -7 C) -5 D) -11 4 / 25 4. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 4 B) 3 C) 1 D) 2 5 / 25 5. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) D C) A D) C 6 / 25 6. Soddalashtiring: A) 1 B) 2 C) cosα D) 2sinα 7 / 25 7. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 18 sm B) 7 sm C) 12 sm D) 14 sm 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) 6 C) 5 D) 4 9 / 25 9. 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) 65 B) 55 C) 73 D) 53 10 / 25 10. Uchburchakning tomonlari 10, 24 va 26. Aylananing markazi uchburchakning katta tomonida yotadi va ikki kichik tomonlari bu aylanaga urinadi. Aylana radiusini toping. A) 120/17 B) 60/7 C) 260/17 D) 20/3 11 / 25 11. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 30° B) 60° C) 90° D) 120° 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) 3 B) 175/48 C) 177/48 D) 211/47 13 / 25 13. Agar a = √5 + 1 va b = √5 − 1 bo‘lsa, 2a² − ab − a² ifodaning qiymatini toping. A) 3√5 + 6 B) 6√5 + 2 C) 6√5 + 1 D) √5 + 6 14 / 25 14. Hisoblang: A) 1 B) 2 C) 0 D) 1.5 15 / 25 15. 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) 28 D) 26 16 / 25 16. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 15 B) 14 C) 16 D) 12 17 / 25 17. Soddalashtiring: A) 3cos2x B) cosx C) 3cosx D) 3sin2x 18 / 25 18. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 21 B) 19 C) 11 D) 10 19 / 25 19. Hisoblang: A) 172/249 B) 85/104 C) 81/109 D) 95/243 20 / 25 20. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -4⁵ B) -2¹¹ C) -4⁴ D) -2⁹ 21 / 25 21. 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) 444 B) 423 C) 443 D) 433 22 / 25 22. bo‘lsa, ?² + ?² ni toping. A) 65/21 B) 20 C) 20.2 D) 61/20 23 / 25 23. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) C B) D C) B D) A 24 / 25 24. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 12 B) 8 C) 10 D) 6 25 / 25 25. Soddalashtiring: A) III B) I C) IV D) II 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
