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 25 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 8 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 11-sinf Matematika olimpiada №3 2021-2022 o'quv yilida viloyat bosqichida tushgan savollar 1 / 25 1. Ifodaning oxirgi raqamini aniqlang: A) 6 B) 0 C) 3 D) 1 2 / 25 2. Perimetri 4 ga o`tkir burchagi 30oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping. A) 4√3+7 B) (√3-1)/2 C) (1+√3)/2 D) 7-4√3 3 / 25 3. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 1 B) 2 C) 3 D) 4 4 / 25 4. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 1 B) 0 C) 3 D) 2 5 / 25 5. 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) 6 C) 3 D) 4 6 / 25 6. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 3 B) 1 C) 4 D) 2 7 / 25 7. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 90° B) 120° C) 30° D) 60° 8 / 25 8. 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) √5/2 B) 1.4 C) √6/2 D) 4/3 9 / 25 9. 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) √5 + 6 D) 6√5 + 1 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) 60/7 B) 20/3 C) 260/17 D) 120/17 11 / 25 11. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) A B) C C) D D) B 12 / 25 12. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 15 B) 12 C) 14 D) 16 13 / 25 13. 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 14 / 25 14. Soddalashtiring: A) IV B) I C) III D) II 15 / 25 15. To‘g‘ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslari nisbati 2 : 5 bo‘lsa, uchburchakning katta o‘tkir burchagining kosinusini toping. A) 0.8 B) 0.6 C) 0.2 D) 0.5 16 / 25 16. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) 2 B) 4 C) √5 D) 1 17 / 25 17. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) A B) D C) B D) C 18 / 25 18. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -5 B) -11 C) -6 D) -7 19 / 25 19. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 10 C) 12 D) 6 20 / 25 20. Quyidagi sonlar orasidan musbat sonni aniqlang. A) B B) A C) D D) C 21 / 25 21. Soddalashtiring: A) 2sinα B) 2 C) cosα D) 1 22 / 25 22. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 11 B) 21 C) 19 D) 10 23 / 25 23. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 8 B) 10 C) 12 D) 6 24 / 25 24. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 7 sm B) 14 sm C) 12 sm D) 18 sm 25 / 25 25. Hisoblang: A) 1 B) 2 C) 1.5 D) 0 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
