Uy » Online olimpiada » Matematika olimpiada » 10-sinf Matematika olimpiada №3 Matematika olimpiadaViloyat 2021-2022 o'quv yili 10-sinf Matematika olimpiada №3 InfoMaster Avgust 19, 2024 27 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 10-sinf Matematika olimpiada №3 2021-2022 o'quv yili viloyat bosqichida tushgan savollar. 1 / 25 1. Hisoblang: A) 2 B) 3 C) 4 D) 1 2 / 25 2. f(x)=x²-4x va f(x)=-2x²+8x-p funksiyalar umumiy uchga ega bo`lsa, p ning qiymatini toping. A) 24 B) 18 C) 12 D) 6 3 / 25 3. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 10 C) 6 D) 12 4 / 25 4. Agar cos ∠A = 1/5 va sin∠B = 1/2 bo‘lsa, АВС uchburchakning mos ravishda А va В uchlaridan tushirilgan balandliklar nisbatini toping. A) 2/5 B) 5√2/5 C) 5√3/12 D) 5√6/24 5 / 25 5. x, y sonlari (x² + 1)(y² + 1) + 2(x − y)(1 − xy) = 4(1 + xy) tenglikni qanoatlantiradi |1 + x| ∙ |1 − y| ni toping. A) 3 B) 1 C) 2 D) 9 6 / 25 6. Agar bo‘lsa, |xyz| ni toping. A) 100 B) 500 C) 1000 D) 800 7 / 25 7. a,b,c−ABC uchburchakning tomonlari. Agar a4 + b4 + c4 + 32 = 2(a²b² + b²c² + a²c²) bo‘lsa, ABC uchburchak yuzini toping. A) 1 B) √3 C) √2 D) 2√2 8 / 25 8. Soddalashtiring: (4cos² 9° −3)(4cos² 27° −3)·ctg9° A) sin18° B) 2cos² 9° C) 1 D) tg9° 9 / 25 9. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 14 B) 15 C) 17 D) 16 10 / 25 10. ?/? kasr (?, ? −natural sonlar)— qisqarmas kasr va (7?+6?)/(3?+2?) kasr esa qisqaradi. Ushbu kasr qanday songa qisqaradi? A) 8 B) 2 C) 3 D) 5 11 / 25 11. Qavariq to‘rtburchakning diagonallari 3 va 4 ga teng. Agar qarama qarshi tomonlarining o‘rtalarini tutashtirishdan hosil bo‘lgan kesmalar uzunliklari o‘zaro teng bo‘lsa, qavariq to‘rtburchakning yuzini toping. A) 7 B) 8 C) 6 D) 5 12 / 25 12. ABC uchburchakning AC tomonida D nuqta olingan, bunda ∠ABC = ∠BDC. Agar AD = 10, CD = 8 bo‘lsa, BC ni toping. A) 12 B) 9 C) 15 D) 10 13 / 25 13. ABC – gipotenuzasi AB bo‘lgan to‘g‘ri burchakli uchburchak. Gipotenuzaning ikki tomon davomida AB to‘g‘ri chiziqda AK = AC va BM = BC shartlar bilan kesmalar ajratilgan. KCM burchakni toping. A) 135° B) 90° C) 150° D) 120° 14 / 25 14. Uchburchak tomonlarining uzunliklari berilgan tenglamaning ildizlariga mos keladi. ?³ − 24?² + 183? − 440 = 0. Uchburchakning yuzini hisoblang. A) 35 B) √21 C) 2√21 D) 4√21 15 / 25 15. Agar bo‘lsa, ?(0) − ?(5) ayirmani toping. A) -24 B) -27 C) -25 D) -26 16 / 25 16. ABCD to‘rtburchakda А va В burchaklar- to‘g‘ri, tg∠D = 3/4 va ВС = AD/2 = АВ + 2 bo‘lsa, АС ni toping. A) 8 B) 10 C) 9 D) 15 17 / 25 17. Tenglama nechta yechimga ega? A) 2 B) 3 C) 5 D) 4 18 / 25 18. Agar A) π/2 B) 0 C) 3π/2 D) π 19 / 25 19. Agar ni toping. A) 0.9 B) 0.8 C) 0.81 D) 0.96 20 / 25 20. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x<0 B) x ≤ 3 C) x>3 D) 3 ≤ x 21 / 25 21. ABCD to‘rtburchakda АВ = CD = 9 va bu to‘rtburchakka radiusi 4 ga teng aylana ichki chizilgan. ABCD to‘rtburchak yuzini toping. A) 144 B) 81 C) 36 D) 72 22 / 25 22. englikni qanoatlantiradigan ? ning eng kichik qiymatini toping. A) 1 B) -1 C) 3 D) 0 23 / 25 23. (?² − 2? + 3)(?² + 6? + 12) = 6 bo‘lsa, ? + ? ni toping. A) 2 B) -3 C) -2 D) 3 24 / 25 24. Agar ? > 0, ? + ?² = 7,25; ?² − ? = 2 va ?² = √(? − 1) ∙ √(2 − ?) bo‘lsa, ?(√(? − 1) + √(2 − ?)) ning qiymatini toping. A) 6 B) 7 C) 4 D) 5 25 / 25 25. Tenglamani yeching: 3x+3 + 8·3x+2 = 33 A) -1 B) 0 C) -2 D) 1 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
