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. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 22 B) 15 C) 16 D) 14 2 / 25 2. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) cos40° C) –sin40° D) sin40° 3 / 25 3. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1 000 000 B) 1 C) 100 000 D) 1000 4 / 25 4. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 5° B) 30° C) 45° D) 15° 5 / 25 5. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 6 C) 8 D) 12 6 / 25 6. bo‘lsa, ? + ? ni toping. A) 12 B) 13 C) 16 D) 11 7 / 25 7. Hisoblang: bunda, A) -49 B) -144 C) -64 D) -100 8 / 25 8. 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) 6 C) 5 D) 3 9 / 25 9. ABC uchburchak berilgan ∠B = 90°. AC va BC tomonlarida mos ravishda E va D nuqtalar shunday olinganki, bunda AE = EC, ∠ADB = ∠EDC. U holda CD: BD ni toping. A) 2 B) 3 C) 4 D) 5 10 / 25 10. 4 ga bo‘lganda 3, 3 ga bo‘lganda esa 2 qoldiq hosil bo‘ladigan barcha ikki xonali sonlar yig‘indisini toping. A) 424 B) 384 C) 420 D) 376 11 / 25 11. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 130 B) 125 C) 115 D) 120 12 / 25 12. 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) 30 B) 28 C) 55 D) 36 13 / 25 13. 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) 10 B) 12 C) 18 D) 16 14 / 25 14. 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) 12 B) 20 C) 15 D) 22 15 / 25 15. Chizmadagi 14 ta kvadratning perimetrlar yig‘indisi 400 sm ga teng. Ushbu kvadratlarning yuzlari yig‘indisi necha kv.sm ni tashkil qiladi? A) 950 B) 900 C) 850 D) 800 16 / 25 16. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 45 B) 55 C) 50 D) 40 17 / 25 17. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 6 B) 4 C) 5 D) 3 18 / 25 18. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 11.4 B) 9.8 C) 12.6 D) 18.2 19 / 25 19. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 161 B) 169 C) 151 D) 159 20 / 25 20. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 16 B) 13 C) 18 D) 22 21 / 25 21. Aylanaga tashqi chizilgan ABCD teng yonli trapetsiyaning yuzi √3 ga teng. Agar ВС : AD = 1 : 3 bo‘lsa, trapetsiyaning АВ yon tomonini toping. A) √6 B) √3 C) √2 D) 2 22 / 25 22. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 48 B) 36 C) 64 D) 56 23 / 25 23. Yig‘indini toping: A) 2022 B) 2021 C) 2020 D) 2023 24 / 25 24. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3.5 B) 3 C) 2.5 D) 2 25 / 25 25. tengsizlikning butun yechimlari yig‘indisini toping. A) 21 B) 18 C) 12 D) 20 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz