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 87 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) 4 B) 2 C) 1 D) 3 2 / 25 2. Agar f(x+1) =7+3x funksiya uchun f (a)=2 tenglik o`rinli bo`lsa, a ning qiymatini toping. A) 10 B) 8 C) -2/3 D) 12 3 / 25 3. ?(? − 1) = 2?(5? + 4) va ?(2? − 1) = 4? + 4 bo‘lsa, ?(?) ni toping A) 20x+48 B) 20x+50 C) 0 D) x+25 4 / 25 4. Agar ni toping. A) 0.8 B) 0.96 C) 0.9 D) 0.81 5 / 25 5. 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° 6 / 25 6. tenglama nechta yechimga ega, agar x ∈ (0; 50)? A) 15 B) 16 C) 14 D) 17 7 / 25 7. (?² − 2? + 3)(?² + 6? + 12) = 6 bo‘lsa, ? + ? ni toping. A) 2 B) -2 C) -3 D) 3 8 / 25 8. x, y sonlari (x² + 1)(y² + 1) + 2(x − y)(1 − xy) = 4(1 + xy) tenglikni qanoatlantiradi |1 + x| ∙ |1 − y| ni toping. A) 2 B) 1 C) 3 D) 9 9 / 25 9. ?(?) = ?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 10 / 25 10. Tenglama nechta yechimga ega? A) 3 B) 5 C) 2 D) 4 11 / 25 11. Agar A) π B) π/2 C) 0 D) 3π/2 12 / 25 12. 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√6/24 C) 5√3/12 D) 2/5 13 / 25 13. ABC uchburchakning AC tomonida D nuqta olingan, bunda ∠ABC = ∠BDC. Agar AD = 10, CD = 8 bo‘lsa, BC ni toping. A) 15 B) 9 C) 10 D) 12 14 / 25 14. Uchburchak tomonlarining uzunliklari berilgan tenglamaning ildizlariga mos keladi. ?³ − 24?² + 183? − 440 = 0. Uchburchakning yuzini hisoblang. A) 4√21 B) 2√21 C) 35 D) √21 15 / 25 15. Agar ?1 = 6? − 6 va у2//?1 hamda у2 to‘g‘ri chiziq ?(6; 6) nuqtadan o‘tsa, ?2 ni toping. A) 6? − 24 B) −6? + 42 C) −6? + 6 D) 6? − 30 16 / 25 16. ?² + |? − 3| ≤ |?2 + ?| − 3 tengsizlikni yeching. A) x<0 B) 3 ≤ x C) x>3 D) x ≤ 3 17 / 25 17. Agar bo‘lsa, ?(0) − ?(5) ayirmani toping. A) -27 B) -25 C) -26 D) -24 18 / 25 18. Soddalashtiring: (4cos² 9° −3)(4cos² 27° −3)·ctg9° A) 2cos² 9° B) sin18° C) 1 D) tg9° 19 / 25 19. 102022 − 22021 ayirmani 24 ga bo‘lgandagi qoldiqni toping. A) 8 B) 16 C) 12 D) 0 20 / 25 20. Agar bo‘lsa, |xyz| ni toping. A) 100 B) 500 C) 800 D) 1000 21 / 25 21. englikni qanoatlantiradigan ? ning eng kichik qiymatini toping. A) 0 B) 3 C) 1 D) -1 22 / 25 22. Tenglamani yeching: 3x+3 + 8·3x+2 = 33 A) 1 B) -2 C) -1 D) 0 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) 10 C) 9 D) 8 24 / 25 24. bo‘lsa ? ning qiymatini toping. A) 37 B) 25 C) 12 D) 40 25 / 25 25. 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) 6 C) 8 D) 5 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
