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. To‘g‘ri burchakli uchburchakda AC=3, BC=4, CD-balandlik va CE-bissektrisa. DE ni toping. A) 23/35 B) 15/31 C) 21 D) 12/35 2 / 25 2. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping. A) −7 va −5 B) −5 va 7 C) −7 va 5 D) 5 va 7 3 / 25 3. Agar a = √5 + 1 va b = √5 − 1 bo‘lsa, 2a² − ab − a² ifodaning qiymatini toping. A) 6√5 + 1 B) 3√5 + 6 C) √5 + 6 D) 6√5 + 2 4 / 25 4. 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) 0.6 D) 0.8 5 / 25 5. Hisoblang: A) 1 B) 2 C) 1.5 D) 0 6 / 25 6. bo‘lsa, ?² + ?² ni toping. A) 20.2 B) 65/21 C) 20 D) 61/20 7 / 25 7. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -11 B) -6 C) -5 D) -7 8 / 25 8. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 21 B) 10 C) 19 D) 11 9 / 25 9. 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 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) 6 B) 5 C) 3 D) 4 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) 443 B) 423 C) 433 D) 444 12 / 25 12. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 3 B) 0 C) 1 D) 2 13 / 25 13. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 14 B) 16 C) 15 D) 12 14 / 25 14. Soddalashtiring: A) 2 B) cosα C) 1 D) 2sinα 15 / 25 15. Soddalashtiring: A) IV B) III C) I D) II 16 / 25 16. 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) 53 B) 55 C) 65 D) 73 17 / 25 17. Soddalashtiring: A) 3sin2x B) 3cosx C) 3cos2x D) cosx 18 / 25 18. Funksiyaning eng kichik qiymatini toping. ?(?) = (2? + 6)5 − 4(2? + 6)4, bunda |? + 3| ≤ 2. A) -2¹¹ B) -4⁵ C) -2⁹ D) -4⁴ 19 / 25 19. Hisoblang: A) 81/109 B) 172/249 C) 95/243 D) 85/104 20 / 25 20. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 6 B) 12 C) 10 D) 8 21 / 25 21. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 7 sm B) 18 sm C) 12 sm D) 14 sm 22 / 25 22. Tenglamalar sistemasi nechta yechimga ega? A) 12 B) 6 C) 10 D) 8 23 / 25 23. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) 4 B) 2 C) √5 D) 1 24 / 25 24. Quyidagi sonlar orasidan musbat sonni aniqlang. A) D B) C C) A D) B 25 / 25 25. 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) 4/3 C) √6/2 D) √5/2 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz