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 244 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. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. A) 8 B) 5 C) 6 D) 3 2 / 25 2. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) 1/9 B) -1/9 C) 1/27 D) -1/3 3 / 25 3. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 5r B) 2r C) 4r D) 3r 4 / 25 4. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -10 C) -40 D) -5 5 / 25 5. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) xℇR 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) 4 B) 5 C) 2 D) 3 7 / 25 7. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 2 B) 4 C) 1 D) 3 8 / 25 8. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 3 C) 4 D) 2 9 / 25 9. f(x) funksiyani toping. A) 1/(1-x) B) (1-x)/(1+x) C) (1+x)/(1-x) D) 1/x 10 / 25 10. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 18 D) 15 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) 145 B) 126 C) 135 D) 180 12 / 25 12. 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) 1 D) 2 13 / 25 13. 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) 6 B) 9 C) 4 D) 12 14 / 25 14. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 0 C) 20/69 D) 8 15 / 25 15. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) II C) III D) IV 16 / 25 16. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 6 C) 2 D) 1 17 / 25 17. 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) 21 C) 12 D) 16 18 / 25 18. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a ≠1 C) a=2 ; a = -3 D) a = 1 19 / 25 19. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 24 D) 20 20 / 25 20. Sonlarni o`sish tartibida yozing. A) a B) c C) c D) b 21 / 25 21. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a>b C) a=b+1 D) a ≤ b 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. 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 24 / 25 24. olti xonali son 72 ga bo’linsa, ? + ? ni toping. A) 13 B) 10 C) 15 D) 12 25 / 25 25. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1 000 000 B) 100 000 C) 1 D) 1000 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
