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 358 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) 1/27 B) -1/3 C) -1/9 D) 1/9 2 / 25 2. Agar bo‘lsa, ko‘paytmani hisoblang. A) -1 B) 1/35 C) 31/35 D) 1/33 3 / 25 3. Hovuzga uchta quvur o‘tkazilgan. Birinchisi hovuzni 12 soatda, ikkinchisi 8 soatda to‘ldiradi. Uchinchisi hovuzni 1 sutkada bo‘shatadi. Agar uchala quvur birgalikda ochib qo‘yilsa, bo‘sh hovuzning yarmi qancha vaqt(soat)da to‘ladi? A) 1,5 B) 2,5 C) 3 D) 2 4 / 25 4. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 33 D) 48 5 / 25 5. 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) 0,5 B) 3 C) 1 D) 2 6 / 25 6. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a = 1 C) a=2 ; a = -3 D) a=−3 7 / 25 7. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 27 C) 24 D) 7 8 / 25 8. 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 9 / 25 9. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) III C) II D) I 10 / 25 10. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 84 C) 55 D) 12√3 11 / 25 11. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 0 C) -48 D) 20/69 12 / 25 12. Sonlarni o`sish tartibida yozing. A) c B) b C) a D) c 13 / 25 13. f(x) funksiyani toping. A) 1/x B) (1+x)/(1-x) C) 1/(1-x) D) (1-x)/(1+x) 14 / 25 14. tengsizlikni yeching. A) xℇR B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 15 / 25 15. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a C) a=b+1 D) a ≤ b 16 / 25 16. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -5 C) -10 D) -40 17 / 25 17. 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) 12 D) 9 18 / 25 18. 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) 4 C) 3 D) 5 19 / 25 19. 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 20 / 25 20. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 4 B) 2 C) 1 D) 3 21 / 25 21. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -4 C) -2 D) 6 22 / 25 22. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –sin40° D) –cos40° 23 / 25 23. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 1 C) 2 D) 4 24 / 25 24. N+4 va N-85 sonlari natural son kvadrati bo‘ladigan N natural sonni toping. A) 2023 B) 2019 C) 2021 D) 2022 25 / 25 25. x, y, z tub sonlar uchun xyz = 5(x + y + z) bo’lsa, x² + y² + z² ni hisoblang. A) 70 B) 68 C) 78 D) 55 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
