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) 14 B) 15 C) 22 D) 16 2 / 25 2. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping. A) 5 B) 3 C) 2 D) 4 3 / 25 3. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2019 B) 2022 C) 2021 D) 2023 4 / 25 4. Dastlab tarvuzning 99% i suv edi, quritilgandan so‘ng esa 98% suv bo‘ldi. Tarvuzning massasi necha marta kamaydi? A) 2 B) 2.5 C) 4 D) 1.5 5 / 25 5. Tenglama ildizlari yig‘indisini toping. (? − |?|)² + ? + |?| = 100 . A) 45 B) 55 C) 40 D) 50 6 / 25 6. Raqamlari joylashuvi kamayish tartibida bo‘ladigan nechta uch xonali natural son mavjud? (masalan, 983, 751,210) A) 115 B) 130 C) 120 D) 125 7 / 25 7. 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) 3 B) 5 C) 2 D) 4 8 / 25 8. Hisoblang: bunda, A) -64 B) -144 C) -100 D) -49 9 / 25 9. ?(?) = 6/(?−1) va ?(?) = 2? − 1. ?(?(2)) + ?(?(3)) + ?(?(2)) + ?(?(3)) ni toping. A) 11.4 B) 12.6 C) 9.8 D) 18.2 10 / 25 10. Tenglama butun sonlarda nechta yechimga ega? (? − 2021)² − ?² + 2? = 14 A) 3 B) 6 C) 4 D) 5 11 / 25 11. tengsizlikning butun yechimlari yig‘indisini toping. A) 12 B) 20 C) 21 D) 18 12 / 25 12. Aylanaga ichki chizilgan trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiya asoslari 1:7 nisbatda va perimetri 18 ga teng bo‘lsa, trapetsiya yuzini toping. A) 18 B) 13 C) 22 D) 16 13 / 25 13. Ucburchakning tomonlari 13; 14; 15 ga teng. Ichki chizilgan aylana radiusini toping. A) 3.5 B) 4 C) 4.5 D) 4.8 14 / 25 14. 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) 6 B) 3 C) 5 D) 4 15 / 25 15. ?1 va ?2 sonlari 2?² − 3? − 2 = 0 tenglamaning ildizlari, |?1 − ?2| ni toping. A) 3.5 B) 2 C) 2.5 D) 3 16 / 25 16. Uchburchakning to‘g‘ri burchagidan chiquvchi bissektrisa gipotenizani 15 va 20 ga teng qismlarga ajratadi. Uchburchak yuzini toping. A) 294 B) 288 C) 268 D) 264 17 / 25 17. Agar ? + ? + ? = 0 bo‘lsa, ni soddalashtiring. A) 1 B) 1.8 C) 1.2 D) 0 18 / 25 18. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 12 C) 10 D) 8 19 / 25 19. 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) 36 D) 55 20 / 25 20. 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) 850 C) 800 D) 950 21 / 25 21. Tenglamani yeching: (71² + 81²)(7² + 8²) = 1135² + ?² A) 169 B) 159 C) 151 D) 161 22 / 25 22. Raqamlari yig‘indisidan 12 marta katta bo‘lgan uch xonali sonlarni toping. A) 150 B) 111 C) 109 D) 108 23 / 25 23. Yig‘indini toping: A) 2023 B) 2021 C) 2020 D) 2022 24 / 25 24. Soddalashtiring: A) I B) III C) II D) IV 25 / 25 25. 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 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz