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 253 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) 5r C) 3r D) 4r 2 / 25 2. Agar bo‘lsa, ko‘paytmani hisoblang. A) -1 B) 1/33 C) 1/35 D) 31/35 3 / 25 3. bo‘lsa, ifodaning qiymatini toping A) 2/3 B) 3/16 C) 15/16 D) 13/16 4 / 25 4. 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) 2 D) 4 5 / 25 5. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -10 B) -40 C) -5 D) -20 6 / 25 6. 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 7 / 25 7. 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) 16 B) 12 C) 14 D) 21 8 / 25 8. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) III C) I D) IV 9 / 25 9. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) –sin40° C) sin40° D) –cos40° 10 / 25 10. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;3)∪(3;∞) D) xℇR 11 / 25 11. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 33 D) 48 12 / 25 12. f(x) funksiyani toping. A) 1/(1-x) B) 1/x C) (1-x)/(1+x) D) (1+x)/(1-x) 13 / 25 13. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 7 C) 20 D) 27 14 / 25 14. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a=2 ; a = -3 C) a ≠1 D) a = 1 15 / 25 15. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 2 C) 4 D) 6 16 / 25 16. 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) 126 C) 135 D) 180 17 / 25 17. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a=b+1 C) a ≤ b D) a>b 18 / 25 18. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 2 B) 4 C) 3 D) 1 19 / 25 19. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 12√3 C) 55 D) 84 20 / 25 20. 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) 6 C) 4 D) 12 21 / 25 21. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 6 C) -4 D) 8 22 / 25 22. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 1 C) 3 D) 4 23 / 25 23. Sonlarni o`sish tartibida yozing. A) b B) c C) a D) c 24 / 25 24. 1, 2, 3, 4, 5 raqamlaridan foydalanib nechta to‘rt xonali son tuzish mumkin, bunda raqamlar har bir sonda bir martadan ortiq takrorlanmaydi. A) 24 B) 96 C) 120 D) 60 25 / 25 25. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2021 B) 2022 C) 2019 D) 2023 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
