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 251 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. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x) B) P(a) C) 0 D) P(x-a) 2 / 25 2. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 22 B) 16 C) 14 D) 15 3 / 25 3. Tarkibida 85% suv bo‘lgan 0,5 t sellyuloza qorishmasida 75% suv bo‘lgan qorishma olish uchun necha kg suvni bug‘lantirish kerak? A) 200 B) 100 C) 400 D) 300 4 / 25 4. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 33 C) 39 D) 48 5 / 25 5. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) -48 C) 0 D) 20/69 6 / 25 6. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 99 C) 84 D) 12√3 7 / 25 7. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 4 C) 1 D) 6 8 / 25 8. Sonlarni o`sish tartibida yozing. A) a B) c C) c D) b 9 / 25 9. 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) 16 B) 4 C) 64 D) 36 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) 2 D) 4 11 / 25 11. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a ≤ b C) a=b+1 D) a 12 / 25 12. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 24 C) 20 D) 7 13 / 25 13. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 18 D) 15 14 / 25 14. 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) 16 C) 12 D) 21 15 / 25 15. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) cos40° D) sin40° 16 / 25 16. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -40 C) -5 D) -10 17 / 25 17. 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) 1 B) 2 C) 3 D) 0,5 18 / 25 18. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) 8 D) -2 19 / 25 19. 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) 1 D) 3 20 / 25 20. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a=−3 D) a = 1 21 / 25 21. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) III C) IV D) I 22 / 25 22. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 23 / 25 23. 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) 126 C) 180 D) 135 24 / 25 24. Agar ning qiymatini toping. A) -1 B) -3 C) 3 D) 2 25 / 25 25. ABC teng yonli uchburchakning AC asosida D nuqta olingan, bunda CD = 2 va CL bissektrisa (L ∈ AB) DL kesmaga perpendikulyar. AL ni toping. A) 2 B) 5 C) 3 D) 1 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
