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 28 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. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 4 B) 3 C) 2 D) 1 2 / 25 2. Uchburchakning perimetri 24 sm ga teng bo‘lib, uning tomonlari uzunliklari arifmetik progressiya tashkil etadi. Shu uchburchakning kichik tomoni 6 sm bo‘lsa, uchburchak turini aniqlang. A) O’tkir burchakli B) To‘g‘ri burchakli C) O’tmas burchakli D) Bunday uchburchak yo’q 3 / 25 3. Tenglamani yeching: |x+6|=|x+10| A) -6 B) -8 C) 4 D) 6 4 / 25 4. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 12√3 C) 99 D) 55 5 / 25 5. f(x) funksiyani toping. A) 1/x B) 1/(1-x) C) (1+x)/(1-x) D) (1-x)/(1+x) 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) 12 D) 14 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) 4 B) 1 C) 3 D) 2 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) 64 B) 36 C) 4 D) 16 9 / 25 9. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 2 C) 6 D) 1 10 / 25 10. 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) 12 C) 4 D) 6 11 / 25 11. 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 12 / 25 12. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) -2 D) 8 13 / 25 13. 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 14 / 25 14. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -40 B) -5 C) -20 D) -10 15 / 25 15. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 8 C) 20/69 D) 0 16 / 25 16. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) sin40° C) cos40° D) –cos40° 17 / 25 17. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a ≤ b B) a>b C) a D) a=b+1 18 / 25 18. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a = 1 C) a=2 ; a = -3 D) a=−3 19 / 25 19. Sonlarni o`sish tartibida yozing. A) c B) b C) c D) a 20 / 25 20. 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) 135 B) 180 C) 126 D) 145 21 / 25 21. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 22 / 25 22. 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) 3 B) 2 C) 1 D) 0,5 23 / 25 23. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) II C) IV D) I 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) 50 km/soat C) 100 km/soat D) 80 km/soat 25 / 25 25. ABC teng yonli uchburchakning AC asosida D nuqta olingan, bunda CD = 2 va CL bissektrisa (L ∈ AB) DL kesmaga perpendikulyar. AL ni toping. A) 5 B) 2 C) 3 D) 1 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz