Uy » Online olimpiada » Matematika olimpiada » 9-sinf Matematika olimpiada №2 Matematika olimpiadaTuman 2019-2020 o'quv yili 9-sinf Matematika olimpiada №2 InfoMaster Avgust 19, 2024 258 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) -1/3 B) 1/9 C) 1/27 D) -1/9 2 / 25 2. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 48 B) 60 C) 65 D) 35 3 / 25 3. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 16 B) 22 C) 15 D) 14 4 / 25 4. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/(1-x) C) (1+x)/(1-x) D) 1/x 5 / 25 5. ABCD trapetsiyaning yuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchbutchakning yuzini toping. A) 16 B) 14 C) 21 D) 12 6 / 25 6. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) I C) II D) III 7 / 25 7. tengsizlikni yeching. A) xℇR B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 8 / 25 8. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 1 B) 4 C) 2 D) 3 9 / 25 9. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a=b+1 C) a D) a ≤ b 10 / 25 10. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 20/69 C) 0 D) -48 11 / 25 11. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 6 C) 4 D) 1 12 / 25 12. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 3 B) 2 C) 1 D) 4 13 / 25 13. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 12√3 C) 84 D) 55 14 / 25 14. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -10 C) -40 D) -20 15 / 25 15. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) cos40° C) –sin40° D) sin40° 16 / 25 16. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a=−3 C) a = 1 D) a ≠1 17 / 25 17. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 48 C) 33 D) 30 18 / 25 18. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 18 D) 15 19 / 25 19. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 24 D) 20 20 / 25 20. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) 8 D) -2 21 / 25 21. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping. A) 4 B) 5 C) 3 D) 2 22 / 25 22. Birinchi quvurdan ikkinchi quvurga qaraganda ikki barobar ko’p suv oqadi.Ikkalasi birgalikda bo’sh hovuzni 12 soatda to’ldiradi.Birinchi quvur hovuzning uchdan bir qismini necha soatda to’ldiradi? A) 4 B) 12 C) 6 D) 9 23 / 25 23. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 2 C) 1 D) 4 24 / 25 24. Hisoblang A) 18 B) 11 C) 15 D) 16 25 / 25 25. To’rt xonali son “yoqimli” deyiladi, agar sonning o‘zi 25 ga bo‘linsa, uning raqamlari yig‘indisi 25 ga bo‘linsa va uning raqamlari ko‘paytmasi 25 ga bo‘linsa. Barcha “yoqimli” sonlarning yig‘indisini toping. A) 14450 B) 14455 C) 13450 D) 450 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
