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 37 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 eng katta butun yechimini toping. A) 3 B) 1 C) 2 D) 4 2 / 25 2. Uchburchakning ikkita burchagi mos ravishda 38o va 52oga teng. Uchinchi burchagi uchidan tushirilgan bissektrisa va mediana orasidagi burchakni toping. A) 10° B) 17° C) 14° D) 7° 3 / 25 3. 102022 − 22021 ayirmani 24 ga bo‘lgandagi qoldiqni toping. A) 16 B) 0 C) 8 D) 12 4 / 25 4. 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) 6 B) 7 C) 5 D) 8 5 / 25 5. 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) 8 B) 9 C) 11 D) 10 6 / 25 6. Tenglamalar sistemasi nechta yechimga ega? A) 8 B) 12 C) 10 D) 6 7 / 25 7. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x<0 B) x ≤ 3 C) 3 ≤ x D) x>3 8 / 25 8. 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? − 24 C) −6? + 6 D) 6? − 30 9 / 25 9. x, y sonlari (x² + 1)(y² + 1) + 2(x − y)(1 − xy) = 4(1 + xy) tenglikni qanoatlantiradi |1 + x| ∙ |1 − y| ni toping. A) 1 B) 2 C) 3 D) 9 10 / 25 10. englikni qanoatlantiradigan ? ning eng kichik qiymatini toping. A) 0 B) 1 C) -1 D) 3 11 / 25 11. Tenglama nechta yechimga ega? A) 2 B) 3 C) 4 D) 5 12 / 25 12. Agar ni toping. A) 0.8 B) 0.9 C) 0.81 D) 0.96 13 / 25 13. Tenglamani yeching: 3x+3 + 8·3x+2 = 33 A) -1 B) 0 C) -2 D) 1 14 / 25 14. Agar bo‘lsa, |xyz| ni toping. A) 1000 B) 500 C) 800 D) 100 15 / 25 15. ABC uchburchakning AC tomonida D nuqta olingan, bunda ∠ABC = ∠BDC. Agar AD = 10, CD = 8 bo‘lsa, BC ni toping. A) 15 B) 10 C) 12 D) 9 16 / 25 16. Agar ? > 0, ? + ?² = 7,25; ?² − ? = 2 va ?² = √(? − 1) ∙ √(2 − ?) bo‘lsa, ?(√(? − 1) + √(2 − ?)) ning qiymatini toping. A) 7 B) 6 C) 5 D) 4 17 / 25 17. bo‘lsa ? ning qiymatini toping. A) 40 B) 37 C) 12 D) 25 18 / 25 18. Soddalashtiring: (4cos² 9° −3)(4cos² 27° −3)·ctg9° A) sin18° B) 2cos² 9° C) 1 D) tg9° 19 / 25 19. Uchburchak tomonlarining uzunliklari berilgan tenglamaning ildizlariga mos keladi. ?³ − 24?² + 183? − 440 = 0. Uchburchakning yuzini hisoblang. A) 2√21 B) 35 C) 4√21 D) √21 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√3/12 B) 5√2/5 C) 2/5 D) 5√6/24 21 / 25 21. ?(?) = ?5 − 7?4 + 3?3 − ? + 2 ko‘phadni ?2 + ? ga bo‘lgandagi qoldiqni aniqlang. A) 10? + 2 B) 6? + 2 C) 8? + 2 D) 4? + 2 22 / 25 22. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 16 B) 15 C) 17 D) 14 23 / 25 23. 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) 15 B) 8 C) 9 D) 10 24 / 25 24. ?/? kasr (?, ? −natural sonlar)— qisqarmas kasr va (7?+6?)/(3?+2?) kasr esa qisqaradi. Ushbu kasr qanday songa qisqaradi? A) 5 B) 2 C) 8 D) 3 25 / 25 25. Agar A) π B) 0 C) π/2 D) 3π/2 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
