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 179 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 18 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. ni hisoblang. A) 4 B) -2 C) 3 D) 2 2 / 25 2. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping A) 225 B) 125 C) 150 D) 400 3 / 25 3. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 48 B) 44 C) 34 D) 50 4 / 25 4. 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) 12 C) 21 D) 14 5 / 25 5. 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) 135 D) 180 6 / 25 6. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 7 B) 27 C) 24 D) 20 7 / 25 7. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 4 C) 1 D) 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) 2 B) 4 C) 3 D) 1 9 / 25 9. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) -2 D) 6 10 / 25 10. 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 11 / 25 11. 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) 12 C) 4 D) 6 12 / 25 12. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 12√3 C) 55 D) 99 13 / 25 13. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/(1-x) C) 1/x D) (1+x)/(1-x) 14 / 25 14. 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) 3 B) 0,5 C) 1 D) 2 15 / 25 15. 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 16 / 25 16. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -20 C) -40 D) -10 17 / 25 17. 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) 36 B) 4 C) 16 D) 64 18 / 25 18. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a ≠1 C) a=2 ; a = -3 D) a=−3 19 / 25 19. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) sin40° C) cos40° D) –cos40° 20 / 25 20. Sonlarni o`sish tartibida yozing. A) c B) c C) a D) b 21 / 25 21. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 18 C) 29 D) 5 22 / 25 22. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) (-∞;3)∪(3;∞) D) xℇR 23 / 25 23. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) I D) III 24 / 25 24. Beshta musbat a,b,c,d va e sonlari uchun ab=2, bc=3, cd=4, de=5 bo‘lsa, e/a ning qiymatini toping. A) 21/8 B) 6/5 C) 15/8 D) 12/5 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) 100 km/soat C) 80 km/soat D) 50 km/soat 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
