9-sinf Matematika olimpiada №4 Oktabr 18, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №4 ga 2 fikr bildirilgan 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. Ifodaning eng kichik qiymatini toping: A) -12 B) -4 C) 4 D) 12 2 / 30 2. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 20 C) 7 D) 24 3 / 30 3. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 18,6 B) 56/3 C) 9,6 D) 28/3 4 / 30 4. Uchburchakning tomonlari , va lardan iborat bo‘lgan uchburchak yuzini toping. A) 3 B) 4 C) 2 D) 1 5 / 30 5. tengsizlikning butun yechimlari yig‘indisini toping. A) 21 B) 12 C) 18 D) 20 6 / 30 6. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar ABC uchburchak yuzi 36 bo‘lsa, PEСF to‘rtburchak yuzini toping. A) 6 B) 12 C) 9 D) 18 7 / 30 7. Agar 3x − y = 7 va 5x + 4y = 21 bo‘lsa, 24x + 9y ni hisoblang. A) 84 B) 69 C) 90 D) 78 8 / 30 8. Soddalashtiring: A) A B) C C) D D) B 9 / 30 9. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/6 ; 1,5) B) (1/6 ; 1,1) C) (0; 2,5) D) (1/3 ; 1,2) 10 / 30 10. a = 0,12(12), ? = 0,1(21), c = 0,12(11). Agar a+ b+ c= 0, x1x2x3x4... x2021x2022x2023... bo‘lsa, x2022 ni toping (bunda, x1, x2... raqamlar). A) 2 B) 9 C) 6 D) 5 11 / 30 11. x0 haqiqiy son x³ +1 = (x² − x −1)² − 4 tenglama ildizi bo‘lsa, (x0 − 1)² ni toping. A) 2 B) 5 C) 7 D) 3 12 / 30 12. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping. A) 63 B) 95 C) 55 D) 81 13 / 30 13. Soddalashtiring: A) C B) D C) A D) B 14 / 30 14. Chizmadagi uchburchaklar sonini toping. A) 30 B) 26 C) 24 D) 28 15 / 30 15. f(x)=ax+b funksiya grafigi A(-1;3) va B(1;7) nuqtalar orqali o‘tadi. f(4- f( -1)) ni toping A) 7 B) 10 C) 12 D) 9 16 / 30 16. −16 ≤ 2(y − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, x² − y² ifodaning eng kichik qiymatini toping. A) 1 B) 3 C) 0 D) 2 17 / 30 17. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng? A) 50° B) 30° C) 45° D) 60° 18 / 30 18. Anvar 2 dan boshlab barcha natural sonlarni doskaga yozdi. U yozayotganda to‘la kub bo‘lgan sonlarni qoldirib ketdi (8, 125 kabi). Doskaga 2186-o‘rinda yozilgan sonni toping. A) 2200 B) 2199 C) 2197 D) 2198 19 / 30 19. Hisoblang: A) -11/6 B) -22/12 C) -5/4 D) -4/3 20 / 30 20. ABCD to‘rtburchakda: AB=CD, BC= AD. Agar A burchak B burchakdan 4 marta katta bo‘lsa, to‘rtburchakning A burchagini toping. A) 132° B) 124° C) 144° D) 148° 21 / 30 21. Agar AB =12, BC =14, CD = 2 bo’lsa, aylana radiusini aniqlang. A) 8 B) 11 C) 9 D) 10 22 / 30 22. Ikkinchi raqami uchinchi raqamidan 4 marta katta, birinchi raqami esa ikkinchi raqamidan 3 ta kam bo‘lgan uch xonali sonlar nechta? A) 2 B) 3 C) 1 D) 4 23 / 30 23. Oila erkak kishi, uning ayoli va talaba qizidan iborat. Agar erkak kishining maoshi 2 barobar oshsa, u holda oila daromadi 67%ga ortadi, agar talaba qizning stipendiyasi 3 barobar kamaysa, oila daromadi 4%ga qisqaradi. Ayolning maoshi oila daromadining necha foizni tashkil qiladi? A) 27 B) 25 C) 26 D) 28 24 / 30 24. Soddalashtiring: A) D B) C C) A D) B 25 / 30 25. Soddalashtiring A) 6 B) 0 C) 5 D) 9 26 / 30 26. Raqamlari yig‘indisi 2 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 9 B) 10 C) 15 D) 25 27 / 30 27. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/6 ; 1,5) B) (0; 2,5) C) (1/6 ; 1,1) D) (1/3 ; 1,2) 28 / 30 28. Ikki son o’rtasidagi ∆ operatsiyasiga ko‘ra quyidagi natijalar olindi: 12 ∆ 1 operatsiya natijasini toping. A) 132 B) 121 C) 136 D) 125 29 / 30 29. tengsizlikning (−5; 5) oraliqda nechta butun yechimi mavjud? A) 8 B) 9 C) 7 D) 10 30 / 30 30. Agar bo'lsa, ning qiymatini toping. A) 6 B) 5 C) 0 D) -4 0% tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2022-2023 o'quv yili
