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 296 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 (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) -1/3 B) -1/9 C) 1/27 D) 1/9 2 / 25 2. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? A) 38 B) 34 C) 32 D) 30 3 / 25 3. Tenglamani yeching: |x+6|=|x+10| A) -6 B) 6 C) 4 D) -8 4 / 25 4. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 55 C) 99 D) 84 5 / 25 5. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 4 C) 6 D) 2 6 / 25 6. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a ≠1 D) a=2 ; a = -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) 3 B) 4 C) 2 D) 1 8 / 25 8. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/(1-x) D) 1/x 9 / 25 9. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 5 C) 29 D) 18 10 / 25 10. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 4 C) 3 D) 2 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) 2 B) 5 C) 3 D) 4 12 / 25 12. 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) 14 C) 12 D) 21 13 / 25 13. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 39 C) 48 D) 30 14 / 25 14. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) IV C) II D) I 15 / 25 15. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) xℇR D) (-∞;3)∪(3;∞) 16 / 25 16. 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) 1 C) 3 D) 0,5 17 / 25 17. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 0 C) 20/69 D) -48 18 / 25 18. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 24 C) 27 D) 7 19 / 25 19. 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) 12 B) 9 C) 4 D) 6 20 / 25 20. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) 8 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+1 B) a C) a>b D) a ≤ b 22 / 25 22. Sonlarni o`sish tartibida yozing. A) a B) c C) c D) b 23 / 25 23. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –sin40° D) –cos40° 24 / 25 24. To’g’riburchakli uchburchakning o’tkir burchaklaridan chiquvchi medianalar √156 va √89 ga teng bo’lsa, uchburchak gipotenuzasini toping. A) 14 B) 15 C) 12 D) 13 25 / 25 25. n ∈ ? va bo’lsa, ? ning eng katta qiymatini toping. A) 680 B) 980 C) 890 D) 790 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
