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. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 3r B) 4r C) 5r D) 2r 2 / 25 2. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -2 C) -4 D) 8 3 / 25 3. bo‘lsa, 3? + ? ni toping. A) 5 B) 2,5 C) 7,5 D) 10 4 / 25 4. 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) 13 D) 16 5 / 25 5. 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) 850 C) 800 D) 900 6 / 25 6. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3.5 B) 2 C) 3 D) 2.5 7 / 25 7. 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 8 / 25 8. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 151 B) 159 C) 169 D) 161 9 / 25 9. A) -1 B) -216 C) -36 D) -6 10 / 25 10. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 4 B) 2 C) 1.5 D) 2.5 11 / 25 11. 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 12 / 25 12. 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) 376 C) 420 D) 384 13 / 25 13. Tenglamaning ildizlari yig‘indisini toping: [?] + {2?} = 2,5 (bu yerda, [?]⎯ ? sonining butun qismi, {?}⎯ ? sonining kasr qismi, ya’ni {?} = ? − [?]) A) 5 B) 6 C) 9 D) 3 14 / 25 14. tengsizlikning butun yechimlari yig‘indisini toping. A) 18 B) 20 C) 12 D) 21 15 / 25 15. to‘g‘ri chiziqlar orasidagi burchakni toping. A) 30° B) 15° C) 5° D) 45° 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) 10 B) 18 C) 12 D) 16 17 / 25 17. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 50 B) 45 C) 55 D) 40 18 / 25 18. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1 B) 0 C) 1.2 D) 1.8 19 / 25 19. bo‘lsa, ? + ? ni toping. A) 12 B) 16 C) 13 D) 11 20 / 25 20. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 4.5 B) 3.5 C) 4.8 D) 4 21 / 25 21. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 111 B) 108 C) 150 D) 109 22 / 25 22. 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) 22 B) 12 C) 15 D) 20 23 / 25 23. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 6 B) 4 C) 3 D) 5 24 / 25 24. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 288 B) 264 C) 268 D) 294 25 / 25 25. Hisoblang: bunda, A) -64 B) -100 C) -49 D) -144 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz