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 367 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. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 22 B) 15 C) 16 D) 14 2 / 25 2. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 2 B) 4 C) 3 D) 1 3 / 25 3. bo‘lsa, ifodaning qiymatini toping A) 3/16 B) 15/16 C) 2/3 D) 13/16 4 / 25 4. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 1 C) 3 D) 4 5 / 25 5. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a ≤ b C) a>b D) a=b+1 6 / 25 6. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) II C) III D) IV 7 / 25 7. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 84 C) 12√3 D) 55 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) 3 C) 2 D) 4 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) 21 B) 14 C) 16 D) 12 10 / 25 10. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) xℇR 11 / 25 11. 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 12 / 25 12. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/x D) 1/(1-x) 13 / 25 13. 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) 4 B) 64 C) 16 D) 36 14 / 25 14. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) –sin40° C) cos40° D) sin40° 15 / 25 15. 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) 2 B) 1 C) 3 D) 0,5 16 / 25 16. Sonlarni o`sish tartibida yozing. A) a B) c C) c D) b 17 / 25 17. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 1 C) 4 D) 2 18 / 25 18. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 0 C) 20/69 D) -48 19 / 25 19. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) -2 D) 8 20 / 25 20. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 15 D) 18 21 / 25 21. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -10 C) -20 D) -40 22 / 25 22. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a=−3 D) a = 1 23 / 25 23. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 30 C) 33 D) 39 24 / 25 24. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta? A) 57 B) 55 C) 56 D) 58 25 / 25 25. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping. A) 60 km/soat B) 50 km/soat C) 100 km/soat D) 80 km/soat 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
