9-sinf Matematika olimpiada №4 Oktabr 18, 2022Oktabr 18, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №4 ga fikr bildirilmagan. 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №4 2022-yil 12-oktabr: 2022-2023 o'quv yili tuman bosqichida tushgan savollar! 1 / 30 1. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 40 sm B) 50 sm C) 56 sm D) 20 sm 2 / 30 2. ABC uchburchakning AB tomonidan M va N nuqtalar shunday tanlab olinganki, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki AK=3KL=1,5LC bo'ldi. SMNLK: SMNLK=? A) 1 B) 2 C) 0,5 D) 3 3 / 30 3. ning qiymatini toping A) 7 B) 5 C) 3 D) 1 4 / 30 4. kasrni qisqartiring A) 4 B) 1 C) 3 D) 2 5 / 30 5. Aylanaga tashqi chizilgan ABCD teng yonli trapetsiyaning yuzi √3 ga teng. Agar ВС : AD = 1 : 3 bo‘lsa, trapetsiyaning АВ yon tomonini toping. A) 2 B) √6 C) √2 D) √3 6 / 30 6. 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 7 / 30 7. Tenglamani yeching: A) 0 B) 29/220 C) 10/11 D) Ø 8 / 30 8. ABCD to‘rtburchakda: AB=CD, BC= AD. Agar A burchak B burchakdan 4 marta katta bo‘lsa, to‘rtburchakning A burchagini toping. A) 144° B) 148° C) 124° D) 132° 9 / 30 9. Agar AB =12, BC =14, CD = 2 bo’lsa, aylana radiusini aniqlang. A) 8 B) 9 C) 10 D) 11 10 / 30 10. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (1/3 ; 1,2) B) (1/6 ; 1,1) C) (0; 2,5) D) (1/6 ; 1,5) 11 / 30 11. ABC uchburchakning AE va BF medianalari P nuqtada kesishadi. Agar ABC uchburchak yuzi 36 bo‘lsa, PEСF to‘rtburchak yuzini toping. A) 12 B) 6 C) 9 D) 18 12 / 30 12. 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) 2198 B) 2200 C) 2199 D) 2197 13 / 30 13. Uchlari A(2; −3), B(6; 0), C(6; 2) va D(2; 2) nuqtalarda bo‘lgan ABCD to‘rtburchak yuzini toping. A) 16 B) 12 C) 14 D) 18 14 / 30 14. x0 haqiqiy son x³ +1 = (x² − x −1)² − 4 tenglama ildizi bo‘lsa, (x0 − 1)² ni toping. A) 5 B) 3 C) 7 D) 2 15 / 30 15. Chizmadagi uchburchaklar sonini toping. A) 28 B) 30 C) 24 D) 26 16 / 30 16. Agar ac < 0 bo‘lsa, y=ax-bx²-c funksiya grafigi koordinatalar tekisligining qaysi choraklaridan o‘tadi? A) Barcha chorakdan o'tadi? B) I,II,III C) II, III, IV D) I, III, IV 17 / 30 17. Soddalashtiring: A) A B) C C) D D) B 18 / 30 18. a parametrning qanday qiymatlarida 9 + 3a, 5 − 2a va 15 − 5a uzunlikdagi kesmalardan uchburchak yashash mumkin? A) (0; 2,5) B) (1/3 ; 1,2) C) (1/6 ; 1,5) D) (1/6 ; 1,1) 19 / 30 19. Ikkinchi raqami uchinchi raqamidan 1 ta kam bo‘lgan uch xonali sonlar sonini toping. A) 63 B) 81 C) 95 D) 55 20 / 30 20. Soddalashtiring: A) C B) D C) B D) A 21 / 30 21. Soddalashtiring A) 5 B) 9 C) 6 D) 0 22 / 30 22. Raqamlari yig‘indisi 2 ga teng bo‘lgan o‘n xonali natural sonlar nechta? A) 25 B) 9 C) 15 D) 10 23 / 30 23. Hisoblang: A) 8 B) 0 C) 5 D) -6 24 / 30 24. −16 ≤ 2(? − 7) ≤ 0 va −7 ≤ x ≤ 8 bo‘lsa, ?² − ?² ifodaning eng kichik qiymatini toping. A) 2 B) 0 C) 3 D) 1 25 / 30 25. Chizmada ∠AOD = 120∘, ∠BOD = 3∠AOB ?a ∠AOC = 2∠COD bo‘lsa, ∠BOC burchak nimaga teng? A) 30° B) 45° C) 60° D) 50° 26 / 30 26. 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) 25 B) 26 C) 27 D) 28 27 / 30 27. tengsizlikning (−5; 5) oraliqda nechta butun yechimi mavjud? A) 10 B) 8 C) 7 D) 9 28 / 30 28. 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) 9 B) 6 C) 5 D) 2 29 / 30 29. Agar bo'lsa, ning qiymatini toping. A) 6 B) -4 C) 5 D) 0 30 / 30 30. Agar a + b − 2c = 0 bo’lsa, ni hisoblang. A) 3 B) 2 C) 1 D) 0 0% Author: InfoMaster Matematika olimpiada