11-sinf Matematika olimpiada №4 Oktabr 18, 2022Oktabr 18, 2022 da chop etilgan InfoMaster tomonidan 11-sinf Matematika olimpiada №4 ga 4 fikr bildirilgan 0 123456789101112131415161718192021222324252627282930 Vaqtingiz tugadi! 11-sinf Matematika olimpiada №4 2022-yil 12-oktyabr: 2022-2023 o'quv yilida tuman bosqichida tushgan savollar! 1 / 30 1. tengsizlik yechimlari joylashgan interval uzunligini toping. A) 0,5 B) 0,75 C) 0,125 D) 0,25 2 / 30 2. ifodani soddalshtiring A) 2sinα B) 2cosα C) 1 D) cosα 3 / 30 3. 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) 18 B) 20 C) 10 D) 15 4 / 30 4. АВС uchburchak ∠C=60° burchagining bissektrisasi 5√3 ga teng. Agar АС : ВС = 5 :2 bo‘lsa, ВС ni toping. A) D B) C C) B D) A 5 / 30 5. (?²+ 4? + 8)² + 3?³ + 14?² + 24? = 0 tenglamaning ildizlari yig’indisini toping. A) -11 B) -5 C) -6 D) -7 6 / 30 6. Agar bo‘lsa sin²α ni toping. A) D B) B C) A D) C 7 / 30 7. 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) 8 B) 9 C) 6 D) 3 8 / 30 8. ABC uchburchakda ctgA+ctgB= 3 va AB= 12 bo‘lsa, ABC uchburchak yuzini toping. A) 265 B) 216 C) 521 D) 123 9 / 30 9. (3 − cos²x− 2sinx)(lg²y+ 2lgy+ 4) ≤ 3 bo‘lsa, sin²x+ 20y+ 1 ni toping. A) 3 B) 2 C) 5 D) 4 10 / 30 10. 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) 18 C) 20 D) 16 11 / 30 11. a2b5 = 620 tenglikni qanoatlantiruvchi nechta (?; ?) butun sonlar juftligi mavjud? A) 12 B) 8 C) 14 D) 10 12 / 30 12. ?(3) ∙ (? − 2) + ?(? − 1) = 3? bo‘lsa, ?(1) ni toping. A) 2 B) 3 C) 4 D) 6 13 / 30 13. 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) 81 B) 91 C) 41 D) 40 14 / 30 14. ? = ?² − 2? + 3 parabolaga ? = 3 to‘g‘ri chiziqqa nisbatan simmetrik bo‘lgan parabola tenglamasini tuzing. A) ? =-?² + 2? - 3 B) ? = ?² − 2? - 3 C) ? =-?² + 2? + 3 D) ? = -?² − 2? + 3 15 / 30 15. 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 16 / 30 16. 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 17 / 30 17. BC = BE = CD ,∠DAE = 20°, ∠BCD = 60° ,∠ADE = ? (chizmaga qarang) A) 50° B) 30° C) 20° D) 40° 18 / 30 18. Arifmetik progressiyada ?2 = 12, ?7 − ?4 = 9 bo‘lsa, ?19 ni toping. A) 54 B) 61 C) 56 D) 63 19 / 30 19. Tenglamani yeching: A) ∅ B) 29/462 C) 0 D) 10/21 20 / 30 20. Agar ifodaning qiymatini toping. A) 4 B) 0.05 C) 0.8 D) 20 21 / 30 21. O‘tkir burchakli uchburchakning ikki tomon uzunliklari ayirmasi 8, bu tomonlarning uchinchi tomondagi proyeksiyalari mos ravishda 8 va 20 ga teng. Berilgan uchburchakka tashqi chizilgan aylana radiusini toping. A) 37/3 B) 83/6 C) 85/6 D) 35/3 22 / 30 22. ABCD - kvadrat, AC-diagonal. Agar AE=BE+CE ( a + b = c ) bo‘lsa, ∠AEB burchakni toping(chizmaga qarang!). A) 60 B) 45 C) 55 D) 50 23 / 30 23. Hisoblang: A) A B) B C) D D) C 24 / 30 24. Soddalashtiring: A) A B) C C) B D) D 25 / 30 25. Soddalashtiring: bunda, |?| < 1. A) 2-2a B) 4-2a C) -2 D) 2a+4 26 / 30 26. un ketma-ketlik quyidagicha berilgan: u1 = 1, un+1 = un + 8n. U holda, u50 −u30 ni toping. A) 6320 B) 6320 C) 5320 D) 6230 27 / 30 27. 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) 6 B) 8 C) 12 D) 10 28 / 30 28. To‘g‘ri burchakli uchburchakning bir burchagi 60° ga teng. Bu burchakdan chiqarilgan bissektrisaning uzunligi 2 m. Uchburchakning gipotenuzasi uzunligini toping. A) √3 B) 2√3 C) √5 D) √5 +1 29 / 30 29. Soddalashtiring: A) −сtg13° B) −сtg1° C) -1 D) −сtg²1° 30 / 30 30. ∠CAD = 2∠ACD, AC =13a, BD = 5a va AB = CD bo’lsa, 20⋅cos ∠ACD ni toping.(chizmaga qarang!) A) 15 B) 16 C) 19 D) 17 0% Author: InfoMaster Matematika olimpiada
5 Killer Quora Answers To How To Buy Clothes Online From Uk How To Buy Clothes Online From Uk – Vimeo.Com –
5 Killer Quora Answers To How To Buy Clothes Online From Uk How To Buy Clothes Online From Uk – Vimeo.Com
–
11 Ways To Completely Sabotage Your Windows And Doors Birmingham hook
locks birmingham [Lisa]
5 Killer Quora Answers On Window Replacement Window replacement
What The Heck What Is Glass Window Replacement? install