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 32 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. 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 2 / 25 2. Agar bo‘lsa, ni hisoblang. A) -4 B) 3 C) 4 D) ±4 3 / 25 3. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? A) 34 B) 38 C) 30 D) 32 4 / 25 4. f(x) funksiyani toping. A) 1/(1-x) B) (1+x)/(1-x) C) 1/x D) (1-x)/(1+x) 5 / 25 5. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 7 B) 24 C) 27 D) 20 6 / 25 6. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a = 1 C) a ≠1 D) a=2 ; a = -3 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) 0,5 B) 3 C) 1 D) 2 8 / 25 8. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 12√3 C) 84 D) 99 9 / 25 9. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -40 B) -10 C) -20 D) -5 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) 4 C) 12 D) 6 11 / 25 11. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -4 C) 6 D) -2 12 / 25 12. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 15 D) 18 13 / 25 13. 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) 126 D) 180 14 / 25 14. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a ≤ b B) a=b+1 C) a>b D) a 15 / 25 15. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 1 C) 2 D) 4 16 / 25 16. 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) 5 B) 3 C) 4 D) 2 17 / 25 17. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) xℇR D) (-∞;3)∪(3;∞) 18 / 25 18. Sonlarni o`sish tartibida yozing. A) a B) b C) c D) c 19 / 25 19. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 20/69 C) 8 D) 0 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) –sin40° C) –cos40° D) sin40° 21 / 25 21. 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) 16 C) 21 D) 12 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) 1 B) 2 C) 4 D) 3 23 / 25 23. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 2 C) 6 D) 4 24 / 25 24. tengsizlikning butun yechimlari yig’indisini toping. A) 7 B) 15 C) 10 D) 9 25 / 25 25. Agar ning qiymatini toping. A) 2 B) -1 C) -3 D) 3 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz