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 419 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. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. A) 8 B) 5 C) 3 D) 6 2 / 25 2. Tarkibida 85% suv bo‘lgan 0,5 t sellyuloza qorishmasida 75% suv bo‘lgan qorishma olish uchun necha kg suvni bug‘lantirish kerak? A) 300 B) 100 C) 200 D) 400 3 / 25 3. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 4r B) 5r C) 3r D) 2r 4 / 25 4. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) -48 C) 20/69 D) 8 5 / 25 5. 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 6 / 25 6. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 7 / 25 7. Sonlarni o`sish tartibida yozing. A) c B) b C) a D) c 8 / 25 8. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 99 C) 12√3 D) 55 9 / 25 9. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 3 B) 2 C) 4 D) 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) 16 B) 64 C) 4 D) 36 11 / 25 11. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 4 C) 1 D) 2 12 / 25 12. 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 D) a=b+1 13 / 25 13. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -20 C) -10 D) -40 14 / 25 14. Funksiya berilgan. f(f(−1)) ni toping. A) 29 B) 15 C) 18 D) 5 15 / 25 15. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a = 1 C) a=−3 D) a=2 ; a = -3 16 / 25 16. 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) 2 C) 0,5 D) 1 17 / 25 17. 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 18 / 25 18. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) cos40° C) –cos40° D) sin40° 19 / 25 19. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) I C) IV D) II 20 / 25 20. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 1 C) 6 D) 4 21 / 25 21. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) 8 C) -2 D) -4 22 / 25 22. 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) 12 B) 21 C) 16 D) 14 23 / 25 23. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 3 B) 4 C) 2 D) 1 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) 76,4 D) 86,4 25 / 25 25. tengsizlikning butun yechimlari yig’indisini toping. A) 9 B) 10 C) 7 D) 15 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
