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 290 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. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x-a) B) 0 C) P(a) D) P(x) 2 / 25 2. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 56 sm B) 40 sm C) 20 sm D) 50 sm 3 / 25 3. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 5r B) 4r C) 3r D) 2r 4 / 25 4. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 0 C) 8 D) 20/69 5 / 25 5. 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 6 / 25 6. 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) 1 C) 2 D) 3 7 / 25 7. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=2 ; a = -3 C) a ≠1 D) a=−3 8 / 25 8. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 39 C) 33 D) 30 9 / 25 9. 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) 145 B) 135 C) 180 D) 126 10 / 25 10. 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) 14 D) 12 11 / 25 11. Sonlarni o`sish tartibida yozing. A) c B) c C) b D) a 12 / 25 12. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 4 C) 1 D) 6 13 / 25 13. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 2 C) 3 D) 4 14 / 25 14. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 27 C) 20 D) 7 15 / 25 15. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 5 C) 18 D) 29 16 / 25 16. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 84 C) 99 D) 12√3 17 / 25 17. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) cos40° D) sin40° 18 / 25 18. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -40 B) -5 C) -10 D) -20 19 / 25 19. f(x) funksiyani toping. A) 1/(1-x) B) (1-x)/(1+x) C) 1/x D) (1+x)/(1-x) 20 / 25 20. 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) 4 C) 3 D) 1 21 / 25 21. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a ≤ b B) a C) a=b+1 D) a>b 22 / 25 22. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) IV C) III D) I 23 / 25 23. 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) 2 C) 3 D) 5 24 / 25 24. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping. A) 60 km/soat B) 80 km/soat C) 100 km/soat D) 50 km/soat 25 / 25 25. 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) 13450 B) 14455 C) 450 D) 14450 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
