9-sinf Matematika olimpiada №2 May 23, 2022Iyun 5, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga 1 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Tenglamaning natural sonlardagi yechimida ni toping: A) 2 B) 4 C) 3 D) 5 2 / 25 2. Hisoblang: A) 1,5 B) 5 C) 0,5 D) 1 3 / 25 3. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 2r B) 5r C) 3r D) 4r 4 / 25 4. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 99 C) 12√3 D) 55 5 / 25 5. Sonlarni o`sish tartibida yozing. A) b B) c C) a D) c 6 / 25 6. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a=b+1 B) a ≤ b C) a>b D) a 7 / 25 7. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 33 C) 30 D) 39 8 / 25 8. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a=−3 C) a = 1 D) a ≠1 9 / 25 9. 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) 12 B) 14 C) 16 D) 21 10 / 25 10. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 2 B) 3 C) 1 D) 4 11 / 25 11. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) II C) IV D) I 12 / 25 12. Bahodir o`zidagi 411 dona yong`oqni 4 ta bolaga bo`lib berdi. Agar Sanjar va O`ktamning olgan yong`oqlari soni 2 va 3 sonlariga to`g`ri proporsional ,O`ktam va Sohibning yong`oqlari 7 va 5 sonlariga teskari proporsional , Sanjar va G`anisherning yong`oqlari esa 9 va 4 sonlariga teskari proporsional ekanligi ma`lum bo`lsa, G`anisher nechta yong`oq olgan? A) 145 B) 180 C) 135 D) 126 13 / 25 13. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 7 C) 27 D) 20 14 / 25 14. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 3 C) 4 D) 1 15 / 25 15. 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) 9 B) 6 C) 12 D) 4 16 / 25 16. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;3)∪(3;∞) C) xℇR D) (-∞;-1/2)∪(-1/2;∞) 17 / 25 17. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 5 C) 18 D) 29 18 / 25 18. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 4 B) 2 C) 3 D) 1 19 / 25 19. ABCD parallelogramda AB=10, AD=16. BC tomonga AE va DF bissektrisalar o`tkazilganbo`lib, ular G nuqtada kesishadi. E va F nuqtalar BC tomonda bo`lsa, AGD va FGE uchgburchaklar yuzalari nisbatini toping. A) 64 B) 16 C) 36 D) 4 20 / 25 20. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 4 C) 6 D) 1 21 / 25 21. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 6 C) 8 D) -2 22 / 25 22. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -10 B) -40 C) -20 D) -5 23 / 25 23. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) sin40° D) cos40° 24 / 25 24. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta? A) 55 B) 57 C) 56 D) 58 25 / 25 25. bo‘lsa, 4? + 3? + 2? yig‘indini toping. (Bunda, ?, ?, ?- raqamlar) A) 8 B) 4 C) 12 D) 16 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada
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