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 30 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. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 34 B) 48 C) 50 D) 44 2 / 25 2. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x-a) B) P(x) C) P(a) D) 0 3 / 25 3. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) 1/9 B) -1/9 C) 1/27 D) -1/3 4 / 25 4. 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) 1 C) 3 D) 2 5 / 25 5. 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) 14 D) 16 6 / 25 6. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a ≠1 C) a=2 ; a = -3 D) a=−3 7 / 25 7. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 2 B) 1 C) 3 D) 4 8 / 25 8. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 20/69 C) 0 D) 8 9 / 25 9. 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) 16 D) 36 10 / 25 10. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) I C) III D) IV 11 / 25 11. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 4 B) 3 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) a>b C) a=b+1 D) a ≤ b 13 / 25 13. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 3 C) 4 D) 1 14 / 25 14. Sonlarni o`sish tartibida yozing. A) b B) c C) c D) a 15 / 25 15. 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) 4 B) 5 C) 2 D) 3 16 / 25 16. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) cos40° C) –sin40° D) sin40° 17 / 25 17. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 8 C) -4 D) 6 18 / 25 18. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 4 C) 1 D) 6 19 / 25 19. 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) 6 D) 9 20 / 25 20. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 55 C) 84 D) 12√3 21 / 25 21. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 33 C) 48 D) 30 22 / 25 22. tengsizlikni yeching. A) xℇR B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 23 / 25 23. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 24 D) 20 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) 15/8 C) 6/5 D) 12/5 25 / 25 25. Baliq og‘irliklari 14:12:11:8:15 kabi nisbatda bo‘lgan besh bo‘lakka bo‘lindi. Ikkinchi bo‘lakning og‘irligi 1,12 kg bo‘lsa, butun baliqning og‘irligini qancha? A) 6,72 kg B) 5,6 kg C) 4,48 kg D) 6,4 kg 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz