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 20 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. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 60 B) 35 C) 65 D) 48 2 / 25 2. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 50 sm B) 20 sm C) 40 sm D) 56 sm 3 / 25 3. Hisoblang: A) 5 B) 1 C) 0,5 D) 1,5 4 / 25 4. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 1 C) 3 D) 2 5 / 25 5. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 6 C) 8 D) -4 6 / 25 6. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;3)∪(3;∞) 7 / 25 7. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -5 C) -40 D) -10 8 / 25 8. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 18 C) 5 D) 29 9 / 25 9. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) 0 C) -48 D) 8 10 / 25 10. f(x) funksiyani toping. A) (1+x)/(1-x) B) 1/(1-x) C) (1-x)/(1+x) D) 1/x 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) 2 C) 4 D) 3 12 / 25 12. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –cos40° C) –sin40° D) cos40° 13 / 25 13. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 7 C) 24 D) 27 14 / 25 14. 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) 6 B) 9 C) 12 D) 4 15 / 25 15. 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) 36 D) 16 16 / 25 16. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) IV C) III D) II 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) 1 D) 2 18 / 25 18. Sonlarni o`sish tartibida yozing. A) a B) c C) b D) c 19 / 25 19. 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) 16 C) 12 D) 14 20 / 25 20. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 30 C) 39 D) 33 21 / 25 21. 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) 0,5 B) 2 C) 1 D) 3 22 / 25 22. 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 23 / 25 23. 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 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) 72,4 B) 84,6 C) 86,4 D) 76,4 25 / 25 25. Teng yonli ABC (AC=BC) uchburchakning AC tomonida D nuqta olingan. K - BD kesma va AH balandlik kesishgan nuqta. Agar AD=AK bo‘lsa, u holda DBA burchakni toping. A) 30° B) 60° C) 75° D) 45° 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz