9-sinf Matematika olimpiada №2 May 23, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga 1 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. 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) 30 B) 32 C) 38 D) 34 2 / 25 2. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 60 B) 48 C) 65 D) 35 3 / 25 3. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 16 B) 22 C) 14 D) 15 4 / 25 4. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -2 C) -4 D) 6 5 / 25 5. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 20/69 C) 0 D) 8 6 / 25 6. 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) 4 C) 9 D) 6 7 / 25 7. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 6 C) 2 D) 1 8 / 25 8. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) xℇR D) (-∞;3)∪(3;∞) 9 / 25 9. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 39 C) 33 D) 48 10 / 25 10. f(x) funksiyani toping. A) (1+x)/(1-x) B) 1/x C) (1-x)/(1+x) D) 1/(1-x) 11 / 25 11. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) III D) I 12 / 25 12. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 2 B) 1 C) 4 D) 3 13 / 25 13. 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) 36 C) 4 D) 64 14 / 25 14. 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) 21 D) 12 15 / 25 15. 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 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) 3 B) 2 C) 1 D) 0,5 17 / 25 17. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -40 C) -5 D) -10 18 / 25 18. 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 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) 20 D) 24 20 / 25 20. Sonlarni o`sish tartibida yozing. A) c B) b C) c D) a 21 / 25 21. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a=2 ; a = -3 D) a ≠1 22 / 25 22. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 99 C) 84 D) 55 23 / 25 23. 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) 5 B) 2 C) 4 D) 3 24 / 25 24. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta? A) 55 B) 58 C) 57 D) 56 25 / 25 25. n ∈ ? va bo’lsa, ? ning eng katta qiymatini toping. A) 790 B) 980 C) 890 D) 680 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
