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 103 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. Tenglamani yeching: A) (2;1) B) (1;-2) C) (-2;1) D) (1;-2) 2 / 25 2. Bir savdogar 1 mеtrini 1200 tiyindan olgan matosini yuvib, kuritgandan so`ng 1800 tiyindan sotyapti. Mato yuvilib kuritilganidan so`ng 20 foizi qisqardi. Bularga ko`ra savdogar nеcha foiz foyda ko`radi? A) 18 B) 20 C) 10 D) 15 3 / 25 3. 100 dan kichik musbat butun sonlar orasida 2 ga ham, 3 ga ham, 7 ga ham bo‘linmaydigan nechta son mavjud? A) 26 B) 27 C) 28 D) 29 4 / 25 4. bo‘lsa, ?² + ?² ni toping. A) 20.2 B) 61/20 C) 20 D) 65/21 5 / 25 5. Soddalashtiring: A) 3cos2x B) cosx C) 3cosx D) 3sin2x 6 / 25 6. Aylanaga АВС uchburchak ichki chizilgan. Uchburchakning СС1medianasining davomi aylanani ? nuqtada kesib o‘tadi. ni toping. A) 1 B) 4 C) 2 D) √5 7 / 25 7. Soddalashtiring: A) III B) I C) IV D) II 8 / 25 8. Hisoblang: 1 + 2 ∙ 2 + 3 ∙ 22 + 4 ∙ 23+. … + 100 ∙ 299 A) D B) B C) C D) A 9 / 25 9. 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) 6 D) 12 10 / 25 10. Tenglamalar sistemasi nechta yechimga ega? A) 12 B) 10 C) 8 D) 6 11 / 25 11. 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) 55 C) 53 D) 65 12 / 25 12. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) B B) C C) D D) A 13 / 25 13. Agar a = √5 + 1 va b = √5 − 1 bo‘lsa, 2a² − ab − a² ifodaning qiymatini toping. A) 6√5 + 1 B) √5 + 6 C) 3√5 + 6 D) 6√5 + 2 14 / 25 14. 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) 3 C) 177/48 D) 175/48 15 / 25 15. 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) 433 C) 423 D) 443 16 / 25 16. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -6 B) -7 C) -11 D) -5 17 / 25 17. 80 ni qanday musbat butun songa bo‘lganda, hosil bo‘ladigan qoldiq bo‘linmaning 25%iga teng bo‘ladi? A) 19 B) 21 C) 11 D) 10 18 / 25 18. Quyidagi sonlar orasidan musbat sonni aniqlang. A) C B) D C) B D) A 19 / 25 19. Aylananing ОА, ОВ, ОС radiuslari o‘tkazilgan. Agar bo‘lsa, АОВ burchakni toping. A) 120° B) 60° C) 30° D) 90° 20 / 25 20. Agar ?(?) = ?2021 + 3?2020 + 3?2019 − ?2018 + 1 bo‘lsa, ni toping. A) 3 B) 1 C) 2 D) 0 21 / 25 21. Agar ? + 4/√?= 17 bo‘lsa, ? + 4√? ni toping. A) 4 B) 2 C) 3 D) 1 22 / 25 22. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 4 B) 2 C) 1 D) 3 23 / 25 23. Hisoblang: A) 172/249 B) 81/109 C) 95/243 D) 85/104 24 / 25 24. Hisoblang: A) 0 B) 1 C) 2 D) 1.5 25 / 25 25. Tenglama nechta yechimga ega? Bunda, x ∈ (1; 47) A) 14 B) 16 C) 12 D) 15 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
