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 17 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. Agar bo‘lsa, ni toping. A) -1 B) -5 C) -7 D) -3 2 / 25 2. trigonometrik tenglamani yeching. A) π/12+πk/2; k∈Z B) π/6+πk; k∈Z C) π/12+πk; k∈Z D) π/12+2πk; k∈Z 3 / 25 3. ABCD to‘rtburchakda АВ = CD = 9 va bu to‘rtburchakka radiusi 4 ga teng aylana ichki chizilgan. ABCD to‘rtburchak yuzini toping. A) 72 B) 144 C) 36 D) 81 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) 5√3/12 B) 5√6/24 C) 2/5 D) 5√2/5 5 / 25 5. 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) 8 B) 6 C) 7 D) 5 6 / 25 6. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 12 C) 6 D) 8 7 / 25 7. Agar A) π B) 0 C) π/2 D) 3π/2 8 / 25 8. Agar ni toping. A) 0.9 B) 0.96 C) 0.8 D) 0.81 9 / 25 9. Agar bo‘lsa, |xyz| ni toping. A) 500 B) 100 C) 1000 D) 800 10 / 25 10. englikni qanoatlantiradigan ? ning eng kichik qiymatini toping. A) 3 B) -1 C) 0 D) 1 11 / 25 11. Uchburchak tomonlarining uzunliklari berilgan tenglamaning ildizlariga mos keladi. ?³ − 24?² + 183? − 440 = 0. Uchburchakning yuzini hisoblang. A) 35 B) 2√21 C) 4√21 D) √21 12 / 25 12. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x<0 B) 3 ≤ x C) x ≤ 3 D) x>3 13 / 25 13. ?/? kasr (?, ? −natural sonlar)— qisqarmas kasr va (7?+6?)/(3?+2?) kasr esa qisqaradi. Ushbu kasr qanday songa qisqaradi? A) 3 B) 5 C) 8 D) 2 14 / 25 14. Agar ?1 = 6? − 6 va у2//?1 hamda у2 to‘g‘ri chiziq ?(6; 6) nuqtadan o‘tsa, ?2 ni toping. A) −6? + 42 B) −6? + 6 C) 6? − 30 D) 6? − 24 15 / 25 15. Tenglama nechta yechimga ega? A) 3 B) 2 C) 5 D) 4 16 / 25 16. 102022 − 22021 ayirmani 24 ga bo‘lgandagi qoldiqni toping. A) 16 B) 0 C) 12 D) 8 17 / 25 17. Tenglamani yeching: 3x+3 + 8·3x+2 = 33 A) -1 B) 0 C) -2 D) 1 18 / 25 18. 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) 120° B) 150° C) 90° D) 135° 19 / 25 19. ?(?) = ?5 − 7?4 + 3?3 − ? + 2 ko‘phadni ?2 + ? ga bo‘lgandagi qoldiqni aniqlang. A) 10? + 2 B) 8? + 2 C) 6? + 2 D) 4? + 2 20 / 25 20. ?(? − 1) = 2?(5? + 4) va ?(2? − 1) = 4? + 4 bo‘lsa, ?(?) ni toping A) 20x+48 B) x+25 C) 20x+50 D) 0 21 / 25 21. bo‘lsa ? ning qiymatini toping. A) 40 B) 25 C) 12 D) 37 22 / 25 22. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 16 B) 14 C) 15 D) 17 23 / 25 23. (?² − 2? + 3)(?² + 6? + 12) = 6 bo‘lsa, ? + ? ni toping. A) 3 B) -3 C) -2 D) 2 24 / 25 24. 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) 9 B) 8 C) 10 D) 15 25 / 25 25. Soddalashtiring: (4cos² 9° −3)(4cos² 27° −3)·ctg9° A) sin18° B) tg9° C) 2cos² 9° D) 1 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
