9-sinf Matematika olimpiada №2 May 23, 2022Iyun 5, 2022 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga 1 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Ifodaning eng kichik qiymatini toping: A) 4 B) -4 C) 12 D) -12 2 / 25 2. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 60 B) 48 C) 35 D) 65 3 / 25 3. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x-a) B) 0 C) P(x) D) P(a) 4 / 25 4. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 2 C) 6 D) 4 5 / 25 5. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) II C) IV D) I 6 / 25 6. 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) 4 C) 5 D) 2 7 / 25 7. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 55 C) 84 D) 99 8 / 25 8. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 9 / 25 9. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 20 C) 27 D) 7 10 / 25 10. Funksiya berilgan. f(f(−1)) ni toping. A) 29 B) 18 C) 15 D) 5 11 / 25 11. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) 0 C) -48 D) 8 12 / 25 12. 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) 2 D) 1 13 / 25 13. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 1 B) 3 C) 4 D) 2 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) 12 B) 9 C) 4 D) 6 15 / 25 15. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 6 C) -4 D) 8 16 / 25 16. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –cos40° C) –sin40° D) cos40° 17 / 25 17. 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) 126 B) 180 C) 145 D) 135 18 / 25 18. 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 19 / 25 19. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 4 C) 2 D) 1 20 / 25 20. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 21 / 25 21. 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) 64 C) 4 D) 16 22 / 25 22. 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 23 / 25 23. f(x) funksiyani toping. A) 1/(1-x) B) (1+x)/(1-x) C) 1/x D) (1-x)/(1+x) 24 / 25 24. To’rt xonali son “yoqimli” deyiladi, agar sonning o‘zi 25 ga bo‘linsa, uning raqamlari yig‘indisi 25 ga bo‘linsa va uning raqamlari ko‘paytmasi 25 ga bo‘linsa. Barcha “yoqimli” sonlarning yig‘indisini toping. A) 14455 B) 13450 C) 450 D) 14450 25 / 25 25. Agar biror oyda 5 ta payshanba bo’lsa, shu oyda … bo’la olmaydi. A) 5 ta shanba B) 5 ta yakshanba C) 5 ta seshanba D) 5 ta juma 0% Testni qayta ishga tushiring Author: InfoMaster Matematika olimpiada
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