9-sinf Matematika olimpiada №2 May 23, 2022Iyun 5, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga fikr bildirilmagan. 8 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 50 B) 48 C) 44 D) 34 2 / 25 2. Tenglamaning natural sonlardagi yechimida ni toping: A) 5 B) 3 C) 4 D) 2 3 / 25 3. Ifodaning eng kichik qiymatini toping: A) -12 B) -4 C) 12 D) 4 4 / 25 4. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/(1-x) D) 1/x 5 / 25 5. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) -2 C) 6 D) 8 6 / 25 6. 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) 4 B) 12 C) 9 D) 6 7 / 25 7. 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) 0,5 D) 3 8 / 25 8. Funksiya berilgan. f(f(−1)) ni toping. A) 29 B) 18 C) 5 D) 15 9 / 25 9. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a=−3 D) a = 1 10 / 25 10. 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) 36 D) 16 11 / 25 11. 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 12 / 25 12. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 84 C) 99 D) 55 13 / 25 13. 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 14 / 25 14. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) -48 C) 0 D) 8 15 / 25 15. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 4 C) 1 D) 3 16 / 25 16. 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) 135 B) 126 C) 145 D) 180 17 / 25 17. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 4 B) 3 C) 2 D) 1 18 / 25 18. 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) 3 B) 5 C) 4 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) 1 B) 3 C) 2 D) 4 20 / 25 20. Sonlarni o`sish tartibida yozing. A) b B) c C) c D) a 21 / 25 21. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) cos40° D) sin40° 22 / 25 22. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) I C) II D) III 23 / 25 23. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 48 C) 39 D) 33 24 / 25 24. Massasi 228 g tuzli aralashma tarkibida 88,2% suv bor. Aralashma tarkibida 81% suv bo’lishi uchun qancha suvni bug’lantirish kerak? A) 84,6 B) 72,4 C) 86,4 D) 76,4 25 / 25 25. tengsizlikning butun yechimlari yig’indisini toping. A) 7 B) 9 C) 15 D) 10 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada