9-sinf Matematika olimpiada №2 May 23, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga 1 fikr bildirilgan 1 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) 1/27 B) 1/9 C) -1/3 D) -1/9 2 / 25 2. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 20 sm B) 56 sm C) 50 sm D) 40 sm 3 / 25 3. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 0 B) 2 C) 1 D) -1 4 / 25 4. 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 5 / 25 5. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 3 B) 1 C) 2 D) 4 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) 21 B) 16 C) 14 D) 12 7 / 25 7. 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) 2 B) 0,5 C) 3 D) 1 8 / 25 8. 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) 64 C) 36 D) 4 9 / 25 9. f(x) funksiyani toping. A) (1+x)/(1-x) B) 1/(1-x) C) 1/x D) (1-x)/(1+x) 10 / 25 10. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) 8 C) -4 D) -2 11 / 25 11. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 12 / 25 12. 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) 2 C) 5 D) 4 13 / 25 13. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 3 C) 4 D) 1 14 / 25 14. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 24 C) 27 D) 7 15 / 25 15. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 18 C) 5 D) 29 16 / 25 16. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a=2 ; a = -3 D) a ≠1 17 / 25 17. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 20/69 C) 8 D) 0 18 / 25 18. 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) 135 D) 126 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) 6 B) 4 C) 9 D) 12 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) cos40° C) –sin40° D) sin40° 21 / 25 21. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 48 D) 33 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 C) a>b D) a=b+1 23 / 25 23. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 24 / 25 24. ABC teng yonli uchburchakning AC asosida D nuqta olingan, bunda CD = 2 va CL bissektrisa (L ∈ AB) DL kesmaga perpendikulyar. AL ni toping. A) 1 B) 3 C) 2 D) 5 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 juma D) 5 ta seshanba 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
