Uy » Online olimpiada » Matematika olimpiada » 9-sinf Matematika olimpiada №3.1 Matematika olimpiadaViloyat 2021-2022 o'quv yili 9-sinf Matematika olimpiada №3.1 InfoMaster Avgust 19, 2024 15 Ko'rishlar 2 izohlar SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. Uchburchakning perimetri 24 sm ga teng bo‘lib, uning tomonlari uzunliklari arifmetik progressiya tashkil etadi. Shu uchburchakning kichik tomoni 6 sm bo‘lsa, uchburchak turini aniqlang. A) O’tkir burchakli B) O’tmas burchakli C) Bunday uchburchak yo’q D) To‘g‘ri burchakli 2 / 25 2. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –cos40° C) cos40° D) –sin40° 3 / 25 3. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1 000 000 B) 100 000 C) 1 D) 1000 4 / 25 4. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 900 B) 800 C) 850 D) 950 5 / 25 5. Soddalashtiring: A) I B) III C) II D) IV 6 / 25 6. Beshta musbat son berilgan. Birinchi va beshinchi sonlar yig‘indisi 13 ga teng. Berilgan barcha sonlar yig‘indisidan ikkinchi son 3 marta, uchinchi son 4 marta, to‘rtinchi son esa 5 marta kichik. Berilgan sonlardan eng kattasini toping. A) 15 B) 22 C) 12 D) 20 7 / 25 7. Aylanaga tashqi chizilgan ABCD teng yonli trapetsiyaning yuzi √3 ga teng. Agar ВС : AD = 1 : 3 bo‘lsa, trapetsiyaning АВ yon tomonini toping. A) 2 B) √6 C) √3 D) √2 8 / 25 8. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 288 B) 264 C) 294 D) 268 9 / 25 9. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 5° B) 15° C) 45° D) 30° 10 / 25 10. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1 B) 0 C) 1.2 D) 1.8 11 / 25 11. 1 dan 100 gacha bo‘lgan natural sonlar orasidagi ? sonlar shundayki, ? ning natural bo‘luvchilari ko‘paytmasi(1 va ? ham inobatga olinganda) ?³ ga teng. Shunday ? natural sonlar nechta? A) 12 B) 18 C) 10 D) 16 12 / 25 12. Hisoblang: bunda, A) -49 B) -100 C) -144 D) -64 13 / 25 13. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 384 B) 376 C) 424 D) 420 14 / 25 14. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 12.6 B) 9.8 C) 18.2 D) 11.4 15 / 25 15. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 50 B) 55 C) 40 D) 45 16 / 25 16. f(x) kvadrat funksiyaga nisbatan ma’lumki, f(0) + f(1) = 0, f(2) + f(3) = 0. f(x) = 2022 tenglamaning ildizlari yig‘indisi nimaga teng? (bunda, f(x) = 2022 tenglama 2 ta turli yechimga ega). A) 4 B) 5 C) 3 D) 6 17 / 25 17. Yig‘indini toping: A) 2023 B) 2022 C) 2021 D) 2020 18 / 25 18. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4.5 B) 4.8 C) 4 D) 3.5 19 / 25 19. A) -216 B) -1 C) -6 D) -36 20 / 25 20. Kenguru oldinga 1 metrga yoki 3 metrga sakraydi. U 10 metr masofani bosib o‘tishni xohlaydi. U bu ishni necha usulda amalga oshira oladi? A) 55 B) 28 C) 30 D) 36 21 / 25 21. tengsizlikning butun yechimlari yig‘indisini toping. A) 18 B) 12 C) 20 D) 21 22 / 25 22. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 3 B) 6 C) 5 D) 9 23 / 25 23. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 2 B) 3 C) 2.5 D) 3.5 24 / 25 24. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 111 B) 109 C) 150 D) 108 25 / 25 25. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 120 B) 115 C) 130 D) 125 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz