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 260 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. Agar bo‘lsa, ko‘paytmani hisoblang. A) 31/35 B) -1 C) 1/35 D) 1/33 2 / 25 2. ni hisoblang. A) 3 B) 2 C) 4 D) -2 3 / 25 3. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 2 B) 1 C) 3 D) 4 4 / 25 4. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -10 C) -5 D) -40 5 / 25 5. 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) 180 D) 126 6 / 25 6. 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) 5 C) 4 D) 3 7 / 25 7. 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 8 / 25 8. Sonlarni o`sish tartibida yozing. A) c B) a C) c D) b 9 / 25 9. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;3)∪(3;∞) D) xℇR 10 / 25 10. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 6 C) 8 D) -4 11 / 25 11. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 20/69 C) 0 D) -48 12 / 25 12. 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) 4 B) 36 C) 64 D) 16 13 / 25 13. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 99 C) 12√3 D) 55 14 / 25 14. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) III D) I 15 / 25 15. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 4 C) 2 D) 6 16 / 25 16. f(x) funksiyani toping. A) 1/x B) (1+x)/(1-x) C) (1-x)/(1+x) D) 1/(1-x) 17 / 25 17. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 29 C) 5 D) 18 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) 1 B) 3 C) 4 D) 2 19 / 25 19. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 3 C) 4 D) 1 20 / 25 20. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 4 B) 1 C) 3 D) 2 21 / 25 21. 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 22 / 25 22. 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 23 / 25 23. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) –sin40° C) sin40° D) cos40° 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) 120 B) 96 C) 60 D) 24 25 / 25 25. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2019 B) 2023 C) 2021 D) 2022 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
