9-sinf Matematika olimpiada №3.1 Oktabr 2, 2022Oktabr 2, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №3.1 ga fikr bildirilmagan. 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3.1 2021-2022 o'quv yil viloyat bosqichida tushgan savollar. 1 / 25 1. bo‘lsa, ifodaning qiymatini toping A) 3/16 B) 15/16 C) 13/16 D) 2/3 2 / 25 2. ABCD trapetsiyaning yuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchbutchakning yuzini toping. A) 12 B) 14 C) 21 D) 16 3 / 25 3. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping. A) 100 km/soat B) 80 km/soat C) 60 km/soat D) 50 km/soat 4 / 25 4. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 3 B) 9 C) 6 D) 5 5 / 25 5. bo‘lsa, ? + ? ni toping. A) 11 B) 12 C) 13 D) 16 6 / 25 6. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 45 B) 50 C) 55 D) 40 7 / 25 7. 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 8 / 25 8. Yig‘indini toping: A) 2022 B) 2020 C) 2023 D) 2021 9 / 25 9. 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) 5 B) 3 C) 4 D) 6 10 / 25 10. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 294 B) 264 C) 268 D) 288 11 / 25 11. tengsizlikning butun yechimlari yig‘indisini toping. A) 12 B) 21 C) 18 D) 20 12 / 25 12. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3.5 B) 2.5 C) 2 D) 3 13 / 25 13. Tenglamalar sistemasi nechta yechimga ega? A) 12 B) 6 C) 10 D) 8 14 / 25 14. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 4 B) 2 C) 2.5 D) 1.5 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) 900 B) 950 C) 800 D) 850 16 / 25 16. 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) 16 B) 10 C) 18 D) 12 17 / 25 17. Teng yonli trapetsiyaning asoslari 6 va 10 ga, diagonali 10 ga teng. Trapetsiya yuzini toping. A) 64 B) 48 C) 36 D) 56 18 / 25 18. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 22 B) 18 C) 16 D) 13 19 / 25 19. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 4 B) 5 C) 6 D) 3 20 / 25 20. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 18.2 B) 9.8 C) 12.6 D) 11.4 21 / 25 21. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 159 B) 161 C) 151 D) 169 22 / 25 22. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 115 B) 130 C) 120 D) 125 23 / 25 23. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 0 B) 1 C) 1.2 D) 1.8 24 / 25 24. Hisoblang: bunda, A) -49 B) -64 C) -144 D) -100 25 / 25 25. 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) 4 B) 5 C) 3 D) 2 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada