Uy » Online olimpiada » Matematika olimpiada » 11-sinf Matematika olimpiada №4 Matematika olimpiadaTuman 2022-2023 o'quv yili 11-sinf Matematika olimpiada №4 InfoMaster Avgust 19, 2024 14 Ko'rishlar 2 izohlar SaqlashSaqlanganOlib tashlandi 0 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 11-sinf Matematika olimpiada №4 2022-yil 12-oktyabr: 2022-2023 o'quv yilida tuman bosqichida tushgan savollar! 1 / 30 1. funksiyaning grafigi qaysi choraklardan o‘tadi? A) I,II B) II,III C) III,IV D) I,II,III,IV 2 / 30 2. Bir savdogar 1 mеtrini 1200 tiyindan olgan matosini yuvib, kuritgandan so`ng 1800 tiyindan sotyapti. Mato yuvilib kuritilganidan so`ng 20 foizi qisqardi. Bularga ko`ra savdogar nеcha foiz foyda ko`radi? A) 15 B) 10 C) 20 D) 18 3 / 30 3. Tenglamani yeching: A) πk; π−arcctg4+πk; k∈Z B) π −arcctg4+πk; k∈Z C) πk; −arcctg4+πk; k∈Z D) arccos0,8+2πk; k∈Z 4 / 30 4. Hisoblang: (1 − tg5°)(1 − tg20°)2 + 2(2tg20° + tg5°) A) 3 B) 1 C) 2 D) 4 5 / 30 5. Sektor perimetri 28 sm ga teng, uning yuzi esa 49 sm2. Sektor yoyining uzunligini toping. A) 14 sm B) 12 sm C) 18 sm D) 7 sm 6 / 30 6. ? soniga teskari bo‘lgan son ? ning 9% ini tashkil qiladi. ? ni toping. (?u yerda, ? > 0) A) 16/3 B) 8/3 C) 10/3 D) 13/3 7 / 30 7. To‘g‘ri burchakli uchburchakning bir burchagi 60° ga teng. Bu burchakdan chiqarilgan bissektrisaning uzunligi 2 m. Uchburchakning gipotenuzasi uzunligini toping. A) √5 B) √3 C) 2√3 D) √5 +1 8 / 30 8. Soatning minut mili 144° ga burilganda, soatning soat mili qanday burchakka burilada? A) 18° B) 12° C) 9° D) 6° 9 / 30 9. Soddalashtiring: A) B B) D C) A D) C 10 / 30 10. Natural son roppa-rosa 2 ta tub bo‘luvchiga, bu sonning kvadrati esa 45 ta turli natural bo‘luvchiga ega. Berilgan sonning kubi eng ko‘pi bilan nechta natural bo‘luvchiga ega bo‘lishi mumkin? A) 41 B) 91 C) 81 D) 40 11 / 30 11. ?(3) ∙ (? − 2) + ?(? − 1) = 3? bo‘lsa, ?(1) ni toping. A) 3 B) 2 C) 6 D) 4 12 / 30 12. Soddalashtiring: bunda, |?| < 1. A) 4-2a B) -2 C) 2-2a D) 2a+4 13 / 30 13. Agar bo‘lsa sin²α ni toping. A) A B) B C) C D) D 14 / 30 14. Raqamlari yig‘indisi 10 dan kam bo‘lmagan, raqamlari ko‘paytmasi esa 10 dan katta bo‘lmagan uch xonali sonlar nechta? A) 106 B) 89 C) 100 D) 96 15 / 30 15. Tenglamani yeching: A) 29/462 B) 10/21 C) ∅ D) 0 16 / 30 16. y = x² − 2x + 3 parabolaga y = 3 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) y =-x² + 2x - 3 B) y = x² − 2x - 3 C) y = -x² − 2x + 3 D) y =-x² + 2x + 3 17 / 30 17. ∠CAD = 2∠ACD, AC =13a, BD = 5a va AB = CD bo’lsa, 20⋅cos ∠ACD ni toping.(chizmaga qarang!) A) 16 B) 17 C) 15 D) 19 18 / 30 18. bo’lsa, P(−1) ni toping. A) 105 B) 115 C) 120 D) 100 19 / 30 19. Arifmetik progressiyada ?2 = 12, ?7 − ?4 = 9 bo‘lsa, ?19 ni toping. A) 54 B) 63 C) 61 D) 56 20 / 30 20. Nargizada 2 ta olma va 3 ta nok bor. U 5 kun ketma-ket har kuni singliga bittadan meva beradi. Bu ishni necha usul bilan amalga oshirish mumkin? A) 10 B) 6 C) 12 D) 8 21 / 30 21. Tengsizliklar sistemasinining butun yechimlari sonini toping. A) 5 B) 4 C) 7 D) 6 22 / 30 22. ABCD - kvadrat, AC-diagonal. Agar AE=BE+CE ( a + b = c ) bo‘lsa, ∠AEB burchakni toping(chizmaga qarang!). A) 55 B) 50 C) 45 D) 60 23 / 30 23. Agar ifodaning qiymatini toping. A) 0.05 B) 20 C) 4 D) 0.8 24 / 30 24. Doskaga ?1, ?2, ?3, . . . , ?200 sonlari yozilgan. Ma’lumki, ?1 = 3, ?2 = 9. Agar ixtiyoriy n natural son uchun ?n+2 = ?n+1 − ?n tenglik o‘rinli bo‘lsa, ?200 ni toping. A) 9 B) 3 C) 8 D) 6 25 / 30 25. Hisoblang: A) C B) A C) B D) D 26 / 30 26. Muntazam uchburchak 36 ta yuzi 1 ga teng bo‘lgan kichkina muntazam uchburchaklardan iborat (chizmaga qarang!). ABC uchburchak yuzini toping. A) 10 B) 11 C) 12 D) 13 27 / 30 27. a2b5 = 620 tenglikni qanoatlantiruvchi nechta (?; ?) butun sonlar juftligi mavjud? A) 8 B) 10 C) 14 D) 12 28 / 30 28. Uchlari A(2; −3), B(6; −1), C(6; 4) va D(2; 2) nuqtalarda bo‘lgan ABCD to‘rtburchak yuzini toping. A) 15 B) 20 C) 16 D) 18 29 / 30 29. BC = BE = CD ,∠DAE = 20°, ∠BCD = 60° ,∠ADE = ? (chizmaga qarang) A) 50° B) 40° C) 20° D) 30° 30 / 30 30. formula bilan berilgan sonli ketma-ketlikning dastlabki 20 ta hadining o‘rta arifmetigini toping. A) 23/6 B) 22/3 C) 20/3 D) 25/6 0% tomonidan Wordpress Quiz plugin Author: InfoMaster