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. bo‘lsa, ifodaning qiymatini toping A) 13/16 B) 2/3 C) 15/16 D) 3/16 2 / 25 2. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 48 B) 50 C) 44 D) 34 3 / 25 3. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x) B) 0 C) P(x-a) D) P(a) 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) 21 B) 16 C) 14 D) 12 5 / 25 5. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 39 C) 33 D) 30 6 / 25 6. 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) 180 C) 145 D) 135 7 / 25 7. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) IV C) II D) III 8 / 25 8. f(x) funksiyani toping. A) (1+x)/(1-x) B) 1/x C) 1/(1-x) D) (1-x)/(1+x) 9 / 25 9. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 4 C) 1 D) 2 10 / 25 10. 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 11 / 25 11. 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) 3 B) 4 C) 5 D) 2 12 / 25 12. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –sin40° C) –cos40° D) cos40° 13 / 25 13. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a=2 ; a = -3 D) a ≠1 14 / 25 14. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -2 C) 6 D) -4 15 / 25 15. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) -48 C) 8 D) 0 16 / 25 16. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 18 C) 5 D) 29 17 / 25 17. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 99 C) 55 D) 12√3 18 / 25 18. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -40 C) -20 D) -10 19 / 25 19. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 7 C) 24 D) 27 20 / 25 20. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 4 C) 6 D) 2 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 D) a=b+1 22 / 25 22. 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) 1 C) 2 D) 4 23 / 25 23. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) (-∞;3)∪(3;∞) C) xℇR D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 24 / 25 24. olti xonali son 72 ga bo’linsa, ? + ? ni toping. A) 12 B) 13 C) 10 D) 15 25 / 25 25. To’rt xonali son “yoqimli” deyiladi, agar sonning o‘zi 25 ga bo‘linsa, uning raqamlari yig‘indisi 25 ga bo‘linsa va uning raqamlari ko‘paytmasi 25 ga bo‘linsa. Barcha “yoqimli” sonlarning yig‘indisini toping. A) 450 B) 13450 C) 14455 D) 14450 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
