9-sinf Matematika olimpiada №3 Sentabr 21, 2022Sentabr 21, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №3 ga fikr bildirilmagan. 3 1234567891011121314151617181920212223242526 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №3 2020-yil tuman bosqichida tushgan savollar 1 / 26 1. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 4 B) 1 C) 3 D) 2 2 / 26 2. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -5 C) -10 D) -40 3 / 26 3. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta? A) 56 B) 57 C) 58 D) 55 4 / 26 4. Agar ABC uchburchakning AB va AC tomonlarida M va N nuqtalar olinib, ular tomonlarni mos ravishda AM:BM=3:5 va AN:CN=4:5 kabi nisbatda bo’lsa, CM to’g’ri chiziq BN kesmani qanday nisbatda bo’ladi? A) 3:2 B) 4:3 C) 5:3 D) 3:1 5 / 26 5. Agar ifoda to‘la kvadrat bo‘lsa, m ning eng katta butun qiymatini toping. A) 10000 B) 1001 C) 1998 D) 100000 6 / 26 6. 1/13 ni o‘nli kasrga yoyilganda, verguldan keyingi 100 –o‘rinda turgan raqamini toping. A) 2 B) 3 C) 9 D) 0 7 / 26 7. ABC uchburchakda AB=10, BC=3, AC=√89. B burchakning kosinusini toping. A) 1/2 B) 1/3 C) 1/5 D) 1/4 8 / 26 8. abc=1 dan foydalanib ni soddalashtiring A) 2 B) 3 C) 4 D) 5 9 / 26 9. [200;1000] kesmada 2,3,5,7 ga bo`lganda qoldiq 1 ga teng bo‘ladigan natural sonlar nechta? A) 2ta B) 4 ta C) 5ta D) 3ta 10 / 26 10. Kasrni irratsionallikdan qutqaring. A) 4 B) 2 C) 3 D) 1 11 / 26 11. Tenglamani yeching A) 3 B) -2 C) 2 D) -3 12 / 26 12. tenglamaning ildizlari yig‘indisini toping. A) 2 B) 1 C) 0 D) 5 13 / 26 13. bo’lsa, x/y qandаy oraliqqa tegishli bo’ladi? A) [-1;8/3] B) (-1;4] C) [1;8/3] D) [-2;3,5] 14 / 26 14. kasrni qisqartiring A) 2 B) 1 C) 4 D) 3 15 / 26 15. Hovuzga 4 ta quvur o`tkazilgan ikkinchi, uchinchi va to`rtinchi quvurlar soatda, birinchi va ikkinchi quvurlar soatda, hamma quvurlar soatda to`ldirsa, ikkinchi quvur hovuzni qancha vaqtda to`ldiradi. 1. 2. 3. 4.bc-ab-ac A) 3 B) 4 C) 2 D) 1 16 / 26 16. tenglama a parametrning nechta natural qiymatida yechimga ega emas. A) 5ta B) 4ta C) 2ta D) 3ta 17 / 26 17. x²-6x+|x-4|+8 =0 tenglamning ildizlari yig’indisini toping. A) 8 B) -4 C) 4 D) 7 18 / 26 18. Ko’phadning darajasi nitoping: A) 18 B) 21 C) 12 D) 15 19 / 26 19. tenglamaning butun yechimlari yig’indisini toping A) 5 B) 9 C) 3 D) 2 20 / 26 20. m ning nechta natural qiymatida tengsizlik x ning istalgan qiymatida o’rinli bo’ladi? A) 0 B) 3 C) 1 D) 2 21 / 26 21. ni hisoblang A) 99999999980000000001 B) 9999999998000000001 C) 9999999998888880000001 D) 9999999998000000001 22 / 26 22. To‘g‘ri burchakli ABC uchburchakning katetlari 8 ga va 10 ga teng. Shu uchburchakning C to‘g‘ri burchagi uchidan CE mediana va CD bissektrisa o‘tkazilgan. CDE uchburchakning yuzini toping. A) 20/9 B) 17/5 C) 19/8 D) 16/7 23 / 26 23. B ni A orqali ifodalang. A) B=1+A B) B=-1-A C) B=1-A D) B=-1+A 24 / 26 24. a(a+1)(a+2)(a+3) ifodani ko’paytuvchilarga ajrating. A) (a²+a+1)² B) (a²+1)(a²+3) C) (a²+2a+1)² D) (a²+3a+1)² 25 / 26 25. Natural sonlar qatori har biri natural sonning kubi bilan tugaydigan quyidagi qismlarga ajralgan: 1,(2,3,...,8),(9,10,...,27),(28,29,...,64),... 10-qismdagi sonlar yig`indisini toping? A) 243415 B) 204440 C) 234415 D) 204415 26 / 26 26. olti xonali son bo‘lsa quyidagini toping. A) 99 B) 9 C) -99 D) -11 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada