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 292 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. Uchburchakning perimetri 24 sm ga teng bo‘lib, uning tomonlari uzunliklari arifmetik progressiya tashkil etadi. Shu uchburchakning kichik tomoni 6 sm bo‘lsa, uchburchak turini aniqlang. A) To‘g‘ri burchakli B) O’tmas burchakli C) O’tkir burchakli D) Bunday uchburchak yo’q 2 / 25 2. Ifodaning eng kichik qiymatini toping: A) 4 B) -4 C) -12 D) 12 3 / 25 3. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 0 B) -1 C) 2 D) 1 4 / 25 4. 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) 12 B) 16 C) 14 D) 21 5 / 25 5. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 18 C) 29 D) 15 6 / 25 6. Sonlarni o`sish tartibida yozing. A) b B) c C) a D) c 7 / 25 7. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 4 C) 2 D) 3 8 / 25 8. 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) 16 B) 64 C) 4 D) 36 9 / 25 9. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) xℇR D) (-∞;3)∪(3;∞) 10 / 25 10. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) I C) III D) II 11 / 25 11. f(x) funksiyani toping. A) 1/x B) (1-x)/(1+x) C) 1/(1-x) D) (1+x)/(1-x) 12 / 25 12. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 8 C) 6 D) -4 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) 4 B) 6 C) 9 D) 12 14 / 25 14. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a ≠1 C) a=−3 D) a=2 ; a = -3 15 / 25 15. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a=b+1 B) a ≤ b C) a>b D) a 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) 135 B) 145 C) 180 D) 126 17 / 25 17. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) sin40° C) cos40° D) –sin40° 18 / 25 18. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 55 C) 84 D) 12√3 19 / 25 19. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 7 C) 27 D) 20 20 / 25 20. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 48 C) 39 D) 30 21 / 25 21. 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) 3 C) 5 D) 2 22 / 25 22. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 4 C) 1 D) 2 23 / 25 23. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 20/69 C) 0 D) -48 24 / 25 24. Tenglamaning ildizlari yig’indisini toping A) -2 B) -1 C) 1 D) 2 25 / 25 25. olti xonali son 72 ga bo’linsa, ? + ? ni toping. A) 12 B) 15 C) 13 D) 10 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
