Uy » Online olimpiada » Matematika olimpiada » 9-sinf Matematika olimpiada №5 Matematika olimpiadaViloyat 2022-2023 o'quv yili 9-sinf Matematika olimpiada №5 InfoMaster Avgust 19, 2024 30 Ko'rishlar 3 izohlar SaqlashSaqlanganOlib tashlandi 0 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №5 2022-yil 04-noyabr: 2022-2023 o'quv yili viloyat bosqichida tushgan savollar! 1 / 30 Tenglamaning natural sonlardagi yechimida ni toping: A) 2 B) 5 C) 4 D) 3 2 / 30 Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) I D) III 3 / 30 n ∈ ? va bo’lsa, ? ning eng katta qiymatini toping. A) 790 B) 890 C) 980 D) 680 4 / 30 Kasrni irratsionallikdan qutqaring. A) 4 B) 3 C) 1 D) 2 5 / 30 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) 4 C) 5 D) 3 6 / 30 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) (1/3 ; 1,2) D) (1/6 ; 1,1) 7 / 30 7 ⋅ 27 ⋅ 47 ⋅ 67 ⋅ 87 ⋅. . .⋅ 1987 ⋅ 2007 ko’paytma qanday raqam bilan tugaydi? A) 1 B) 7 C) 9 D) 3 8 / 30 A) 1 B) 3 C) 4 D) 2 9 / 30 8 dan 17 gacha (8 va 17 kiradi) bo'lgan butun sonlar orasida mumkin bo‘lgan eng kam sondagi sonlarni shunday o'chiringki, bunda qolgan sonlarning ko'paytmasi to'la kvadrat bo'lsin. Barcha o’chiriladigan sonlar yig'indisini toping. A) 38 B) 55 C) 57 D) 41 10 / 30 A) 86 B) 90 C) 65 D) 80 11 / 30 Teploxod oqim bo‘yicha ?? punktdan ?? punktgacha masofani 5 soatda, qaytishda esa oqimga qarshi ?? punktdan ?? punktgacha masofani 8 soat 20 minutda bosib o‘tdi. Agar ?? va ?? punktlar orasidagi masofa 100 km bo‘lsa, teploxodning o‘z tezligini toping. A) 16 км/час B) 18 км/час C) 15 км/час D) 12 км/час 12 / 30 АВС uchburchakning СN – mediana. СN to‘g‘ri chiziqda С nuqtadan keyin К nuqta olingan, bunda ?? = ??. Agar ∠??? = 60° va ?? = 4 bo‘lsa, ?? ni toping. A) 4 B) 1 C) 5 D) 6 13 / 30 ? + 3? = 8 bo‘lsa, (2? − 6?): (0,25?² − 2,25?²) ni toping. A) 4 B) 6/16 C) 1 D) 1/16 14 / 30 ??? to'g'ri burchakli uchburchakning ?? gipotenuzasida ?? = ?? va ?? = ?? shartlarni qanoatlantiradigan ? va ? nuqtalar olingan. ??? burchakni toping. A) 15° B) 60° C) 45° D) 30° 15 / 30 A) 5 B) 7 C) 1 D) 11 16 / 30 ? ∗ b belgilash ab ko’paytmaning raqamlari yig’indisini bildiradi. U holda (15 ∗ 10) ∗ (1510) ni toping. A) 10 B) 9 C) 15 D) 6 17 / 30 A) 1 B) 5 C) 3 D) 2 18 / 30 Tenglamaning barcha haqiqiy ildizlari yig‘indisini toping: A) 1 B) √7+7 C) √7+1 D) 7 19 / 30 Tenglamani yeching: A) 2022 B) 2023 C) 2021 D) 1 20 / 30 143 ga bo'linadigan sonni hosil qilish uchun 2022 sonining o'ng tomoniga qanday ikkita raqam yozish kerak? A) 46 B) 02 C) 24 D) 68 21 / 30 Quyidagi sonlarning qaysi biri butun son? A) B B) C C) D D) A 22 / 30 Soddalashtiring: A) A B) C C) B D) D 23 / 30 ? va ? − butun sonlar, 2?? + ? = 14 va ?? ⩾ 9 bo‘lsa, 2? − 3? ni A) 42 B) 43 C) 40 D) 50 24 / 30 Tengsizlikning butun yechimlari o‘rta arifmetigini toping. A) 2 B) 2.5 C) 1.5 D) 1 25 / 30 ?, ?, ? −butun sonlar va ?²bc = 1 bo‘lsa, quyidagilardan qaysi biri har doim to‘g‘ri? A) bc = 1 B) abc² = 1 C) ab² = 1 D) ab²c = 1 26 / 30 2014 soni nechta raqamdan iborat? A) 17 B) 20 C) 18 D) 19 27 / 30 Soddalashtiring: A) 0 B) x C) 1 D) -1 28 / 30 Teng yonli trapetsiyaning diagonali o‘tmas burchagining bissektrisasi. Agar uning katta asosi 17, perimetri 56 bo‘lsa, trapetsiyaning diagonallarining o‘rtalarini tutashtiruvchi kesma uzunligini toping. A) 5 B) 9 C) 8 D) 6 29 / 30 Chiziqli funksiyaning grafigi ikkinchi koordinata choragidan katetlari uzunligi 3 ga teng bo'lgan teng yonli to'g'ri burchakli uchburchak hosil qiladi.Ushbu funksiyani toping. A) y=x+3 B) y=-x+3 C) y=-x-3 D) y=x-3 30 / 30 Hisoblang: A) 36 B) 56 C) 26 D) 46 0% Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz