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 179 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 18 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 1 B) 2 C) -1 D) 0 2 / 25 2. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 2r B) 4r C) 5r D) 3r 3 / 25 3. stemadan ni toping. A) 3/7 B) 7/3 C) 11/7 D) 7/11 4 / 25 4. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 99 C) 84 D) 12√3 5 / 25 5. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 4 C) 2 D) 6 6 / 25 6. 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) 14 B) 21 C) 12 D) 16 7 / 25 7. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 1 B) 4 C) 2 D) 3 8 / 25 8. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a = 1 C) a=−3 D) a ≠1 9 / 25 9. Funksiya berilgan. f(f(−1)) ni toping. A) 18 B) 5 C) 15 D) 29 10 / 25 10. f(x) funksiyani toping. A) 1/x B) 1/(1-x) C) (1+x)/(1-x) D) (1-x)/(1+x) 11 / 25 11. 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) 4 C) 36 D) 64 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 C) a=b+1 D) a ≤ b 13 / 25 13. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) cos40° D) sin40° 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) 9 B) 4 C) 6 D) 12 15 / 25 15. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -2 C) -4 D) 6 16 / 25 16. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 20 D) 24 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) 180 B) 145 C) 126 D) 135 18 / 25 18. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) 8 C) -48 D) 20/69 19 / 25 19. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -10 B) -40 C) -5 D) -20 20 / 25 20. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) I D) III 21 / 25 21. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 39 C) 30 D) 48 22 / 25 22. 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) 2 C) 3 D) 1 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) 3 B) 4 C) 2 D) 5 24 / 25 24. ABC uchburchakda AL bissektrisa o’tkazildi. AB va BL kesmalarda E va D nuqtalar mos ravishda shunday olinganki, DL=LC, ED∥ AC. Agar AE=15, AC=12 ekani ma’lum bo’lsa, ED kesma uzunligini toping. A) 3 B) 5 C) 4 D) 2 25 / 25 25. Ikkinchi raqami birinchi raqamidan katta bo‘lgan nechta ikki xonali natural son mavjud? A) 50 B) 24 C) 45 D) 36 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
