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 417 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 0 Savollar 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x-a) B) P(a) C) P(x) D) 0 2 / 25 2. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 2 B) 1 C) -1 D) 0 3 / 25 3. Tenglamani yeching: |x+6|=|x+10| A) 6 B) 4 C) -6 D) -8 4 / 25 4. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a C) a ≤ b D) a=b+1 5 / 25 5. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 1 B) 2 C) 3 D) 4 6 / 25 6. Sonlarni o`sish tartibida yozing. A) a B) c C) b D) c 7 / 25 7. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) –sin40° C) sin40° D) –cos40° 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. 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) 180 B) 145 C) 135 D) 126 10 / 25 10. 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) 5 B) 3 C) 4 D) 2 11 / 25 11. tengsizlikni yeching. A) xℇR B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 12 / 25 12. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 18 C) 29 D) 15 13 / 25 13. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -5 C) -10 D) -40 14 / 25 14. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 3 C) 4 D) 1 15 / 25 15. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 7 C) 27 D) 24 16 / 25 16. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -2 C) 8 D) -4 17 / 25 17. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 33 D) 48 18 / 25 18. 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) 14 B) 12 C) 16 D) 21 19 / 25 19. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 0 C) 20/69 D) 8 20 / 25 20. 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) 4 C) 16 D) 36 21 / 25 21. ABC uchburchakning AB tomonidan M va N nuqtalar shunday tanlab olinganki, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki AK=3KL=1,5LC bo'ldi. SMNLK: SMNLK=? A) 0,5 B) 1 C) 3 D) 2 22 / 25 22. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 12√3 C) 84 D) 99 23 / 25 23. 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 24 / 25 24. olti xonali son 72 ga bo’linsa, ? + ? ni toping. A) 15 B) 10 C) 13 D) 12 25 / 25 25. Ikkinchi raqami birinchi raqamidan katta bo‘lgan nechta ikki xonali natural son mavjud? A) 24 B) 50 C) 45 D) 36 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
