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 12 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) III,IV B) II,III C) I,II,III,IV D) I,II 2 / 30 2. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi? A) 61% B) 70% C) 60% D) 71% 3 / 30 3. ni hisoblang. A) -13 B) 12 C) -12 D) 13 4 / 30 4. Soddalashtiring: A) 3cos2x B) 3sin2x C) 3cosx D) cosx 5 / 30 5. ABC uchburchakning AC tomonida shunday D nuqta olinganki, bunda ∠ABC=∠BDC, 5AB=4BD. Agar BC=10 bo‘lsa, ACni toping. A) 6 B) 8 C) 10 D) 12 6 / 30 6. un ketma-ketlik quyidagicha berilgan: u1 = 1, un+1 = un + 8n. U holda, u50 −u30 ni toping. A) 6230 B) 6320 C) 5320 D) 6320 7 / 30 7. ∠CAD = 2∠ACD, AC =13a, BD = 5a va AB = CD bo’lsa, 20⋅cos ∠ACD ni toping.(chizmaga qarang!) A) 17 B) 16 C) 19 D) 15 8 / 30 8. (3 − cos²x− 2sinx)(lg²y+ 2lgy+ 4) ≤ 3 bo‘lsa, sin²x+ 20y+ 1 ni toping. A) 3 B) 5 C) 4 D) 2 9 / 30 9. 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) 41 C) 40 D) 91 10 / 30 10. ABCD - kvadrat, AC-diagonal. Agar AE=BE+CE ( a + b = c ) bo‘lsa, ∠AEB burchakni toping(chizmaga qarang!). A) 50 B) 45 C) 55 D) 60 11 / 30 11. formula bilan berilgan sonli ketma-ketlikning dastlabki 20 ta hadining o‘rta arifmetigini toping. A) 25/6 B) 20/3 C) 22/3 D) 23/6 12 / 30 12. Tenglamani yeching: A) 0 B) ∅ C) 10/21 D) 29/462 13 / 30 13. Agar bo‘lsa sin²α ni toping. A) C B) D C) A D) B 14 / 30 14. Soddalashtiring: A) −сtg1° B) -1 C) −сtg²1° D) −сtg13° 15 / 30 15. ABC uchburchakda ctgA+ctgB= 3 va AB= 12 bo‘lsa, ABC uchburchak yuzini toping. A) 216 B) 123 C) 265 D) 521 16 / 30 16. Muntazam uchburchak 36 ta yuzi 1 ga teng bo‘lgan kichkina muntazam uchburchaklardan iborat (chizmaga qarang!). ABC uchburchak yuzini toping. A) 12 B) 13 C) 11 D) 10 17 / 30 17. Tengsizliklar sistemasinining butun yechimlari sonini toping. A) 7 B) 5 C) 4 D) 6 18 / 30 18. 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 19 / 30 19. Soatning minut mili 144° ga burilganda, soatning soat mili qanday burchakka burilada? A) 6° B) 9° C) 12° D) 18° 20 / 30 20. ? soniga teskari bo‘lgan son ? ning 9% ini tashkil qiladi. ? ni toping. (?u yerda, ? > 0) A) 10/3 B) 16/3 C) 8/3 D) 13/3 21 / 30 21. 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) 6 C) 8 D) 3 22 / 30 22. Soddalashtiring: bunda, |?| < 1. A) 2a+4 B) 2-2a C) 4-2a D) -2 23 / 30 23. 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 24 / 30 24. Agar ifodaning qiymatini toping. A) 0.8 B) 0.05 C) 4 D) 20 25 / 30 25. Soddalashtiring: A) A B) B C) C D) D 26 / 30 26. 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 27 / 30 27. Hisoblang: A) C B) D C) B D) A 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) 18 B) 16 C) 15 D) 20 29 / 30 29. BC = BE = CD ,∠DAE = 20°, ∠BCD = 60° ,∠ADE = ? (chizmaga qarang) A) 20° B) 40° C) 50° D) 30° 30 / 30 30. ?(3) ∙ (? − 2) + ?(? − 1) = 3? bo‘lsa, ?(1) ni toping. A) 4 B) 6 C) 3 D) 2 0% tomonidan Wordpress Quiz plugin Author: InfoMaster