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 12 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. Tengsizlikning butun yechimlarining o‘rta arifmetik qiymatini toping: A) -4/3 B) -5/2 C) -10/3 D) -3 2 / 25 2. [2x-1]=x tenglamani butun yechimlar sonini toping. Bu yerda [a]− a sonining butun qismi. A) 2 ta B) 4 ta C) 3 ta D) 1 ta 3 / 25 3. 102022 − 22021 ayirmani 24 ga bo‘lgandagi qoldiqni toping. A) 16 B) 8 C) 0 D) 12 4 / 25 4. 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) 150° C) 120° D) 90° 5 / 25 5. ABCD to‘rtburchakda АВ = CD = 9 va bu to‘rtburchakka radiusi 4 ga teng aylana ichki chizilgan. ABCD to‘rtburchak yuzini toping. A) 81 B) 144 C) 36 D) 72 6 / 25 6. 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 7 / 25 7. Agar A) 3π/2 B) π/2 C) π D) 0 8 / 25 8. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 17 B) 14 C) 15 D) 16 9 / 25 9. ?(?) = ?5 − 7?4 + 3?3 − ? + 2 ko‘phadni ?2 + ? ga bo‘lgandagi qoldiqni aniqlang. A) 6? + 2 B) 4? + 2 C) 10? + 2 D) 8? + 2 10 / 25 10. Tenglamani yeching: 3x+3 + 8·3x+2 = 33 A) -1 B) 1 C) 0 D) -2 11 / 25 11. Soddalashtiring: (4cos² 9° −3)(4cos² 27° −3)·ctg9° A) 2cos² 9° B) sin18° C) 1 D) tg9° 12 / 25 12. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x ≤ 3 B) 3 ≤ x C) x>3 D) x<0 13 / 25 13. Tenglamalar sistemasi nechta yechimga ega? A) 10 B) 6 C) 8 D) 12 14 / 25 14. Tenglama nechta yechimga ega? A) 4 B) 2 C) 3 D) 5 15 / 25 15. Agar bo‘lsa, |xyz| ni toping. A) 100 B) 800 C) 500 D) 1000 16 / 25 16. ?(? − 1) = 2?(5? + 4) va ?(2? − 1) = 4? + 4 bo‘lsa, ?(?) ni toping A) 20x+48 B) x+25 C) 0 D) 20x+50 17 / 25 17. englikni qanoatlantiradigan ? ning eng kichik qiymatini toping. A) 1 B) -1 C) 0 D) 3 18 / 25 18. bo‘lsa ? ning qiymatini toping. A) 12 B) 37 C) 25 D) 40 19 / 25 19. 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 20 / 25 20. 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√2/5 B) 5√3/12 C) 2/5 D) 5√6/24 21 / 25 21. Agar ? > 0, ? + ?² = 7,25; ?² − ? = 2 va ?² = √(? − 1) ∙ √(2 − ?) bo‘lsa, ?(√(? − 1) + √(2 − ?)) ning qiymatini toping. A) 5 B) 4 C) 6 D) 7 22 / 25 22. ?/? kasr (?, ? −natural sonlar)— qisqarmas kasr va (7?+6?)/(3?+2?) kasr esa qisqaradi. Ushbu kasr qanday songa qisqaradi? A) 3 B) 8 C) 5 D) 2 23 / 25 23. Uchburchak tomonlarining uzunliklari berilgan tenglamaning ildizlariga mos keladi. ?³ − 24?² + 183? − 440 = 0. Uchburchakning yuzini hisoblang. A) 2√21 B) 4√21 C) √21 D) 35 24 / 25 24. Ayirmasi noldan farqli bo‘lgan arifmetik progressiyaning 4-hadidan boshlab 14- hadigacha bo‘lgan hadlar yig‘indisi 77 ga teng. Progressiyaning 7 ga teng bo‘lgan had nomerini toping. A) 11 B) 9 C) 8 D) 10 25 / 25 25. Agar ni toping. A) 0.81 B) 0.9 C) 0.8 D) 0.96 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz
