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 335 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. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 2r B) 3r C) 5r D) 4r 2 / 25 2. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping A) 400 B) 225 C) 150 D) 125 3 / 25 3. Ifodaning eng kichik qiymatini toping: A) 12 B) -12 C) 4 D) -4 4 / 25 4. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 3 B) 2 C) 1 D) 4 5 / 25 5. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 48 C) 33 D) 39 6 / 25 6. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 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) 3 C) 2 D) 1 8 / 25 8. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a = 1 D) a=−3 9 / 25 9. 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) 4 B) 9 C) 12 D) 6 10 / 25 10. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 55 C) 99 D) 12√3 11 / 25 11. 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) 126 B) 135 C) 180 D) 145 12 / 25 12. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –cos40° D) –sin40° 13 / 25 13. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) I D) III 14 / 25 14. 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) 0,5 C) 2 D) 1 15 / 25 15. 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) 14 C) 12 D) 16 16 / 25 16. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 4 C) 1 D) 6 17 / 25 17. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 18 / 25 18. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -10 B) -5 C) -20 D) -40 19 / 25 19. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/x C) (1+x)/(1-x) D) 1/(1-x) 20 / 25 20. 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) 2 B) 3 C) 4 D) 5 21 / 25 21. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) -48 C) 8 D) 20/69 22 / 25 22. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 3 C) 1 D) 2 23 / 25 23. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) -2 D) 8 24 / 25 24. ?, ? natural sonlari uchun 3? + 2? soni 11 ga qoldiqsiz bo‘linadi. u holda quyidagi sonlardan qaysi biri 11 ga qoldiqsiz bo’linmasligi mumkin? A) 58? + 90? B) 47? + 34? C) 8(10? + 3?) D) 14? + 13b 25 / 25 25. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 56/3 B) 28/3 C) 18,6 D) 9,6 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
