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Matematika abituriyent testi №1 Iyun 22, 2021Aprel 5, 2022 da chop etilgan InfoMaster tomonidan Matematika abituriyent testi №1 ga fikr bildirilmagan. 11 Vaqtingiz tugadi! Matematika abituriyentlar uchun №1 1 / 30 Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping. A) 90° B) 72° C) 30° D) 60° 2 / 30 bo’lsa, ni x orqali ifodalang. A) 25/x B) x/25 C) 2/x D) 2-x 3 / 30 x(t)=t2+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi? A) 10 B) 8 C) 7 D) 6 4 / 30 Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping. A) 3π B) 2π C) 2π/3 D) 4π 5 / 30 Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ? A) 2100 B) 2000 C) 2200 D) 1900 6 / 30 Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi? A) o’tkir burchakli uchburchak B) teng tomonli uchburchak C) to’gri burchakli uchburchak D) o’tmas burchakli uchburchak 7 / 30 Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping. A) -4sin2x*cos(cos2x) B) -4sin2x*cos(2cos2x) C) 4sin2x*cos(cos2x) D) 4sin2x*cos(2cos2x) 8 / 30 tenglamalar sistemasini yeching A) (4;3) B) (4;–3) C) (3;–4) D) (–4;3) 9 / 30 Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ? A) 6200 B) 7200 C) 6900 D) 7000 10 / 30 Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping. A) 2 yoki 50 B) 10 yoki 50 C) 50 D) 10 11 / 30 AA1A2A3A4A5A6 muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA2A6 kesim yuzini toping. A) 2 B) 3 C) √15 D) √5 12 / 30 y= funksiyaning aniqlanish sohasini toping A) (-∞;0])v[2;∞) B) (-∞;0)v(2;∞) C) (2;∞) D) (0,2) 13 / 30 To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping. A) 2S B) 0,5S C) 4S D) 3S 14 / 30 Soddalashtiring. A) a+1 B) 2018a/a+1 C) 2018 D) 2019 15 / 30 Tengsizlikni yeching. A) (-1/³ √2 ;0) B) (0;+∞) C) to'g'ri javob yo'q D) 0 16 / 30 Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin? A) 30 B) 36 C) 32 D) 25 17 / 30 Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing. A) x-1/2=y-2/3=z-3/4 B) 2x+3y+z=0 C) -x-y+z=0 D) x=y/3=z/2 18 / 30 Qaysi javobda faqat juft funksiyalar ko’rsatilgan? A) 1,4 B) 1, 3 C) 2, 3 D) 3, 4 19 / 30 sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega? A) 9 B) 10 C) 6 D) 7 20 / 30 ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping. A) 3 B) √37 C) √32 D) 6 21 / 30 Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping. A) 12π B) 10 π C) 6 π D) 7 π 22 / 30 Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping. A) 10 B) 4 C) 6 D) 5 23 / 30 Ushbu (y6+y3+1)(y3+1)(y3-1)-y6+y3+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor? A) 2 B) 4 C) 1 D) 3 24 / 30 Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping. A) 8√2π/5 B) (5√3+3)π/3 C) 3√2π/4 D) 64√2π/3 25 / 30 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi? A) 32 B) 42 C) 38 D) 36 26 / 30 a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega A) a=12 B) a≠5 C) a ning bunday qiymati yo’q D) a≠12 27 / 30 “Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping. A) 6 B) 3 C) 18 D) 12 28 / 30 Tenglamani yeching. |x2-11x+10|=x2-11x+10 A) (-∞;1] B) 1; 10 C) (-∞;1]v[10;∞) D) [10;∞) 29 / 30 bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya. A) -14 B) -4 C) -10 D) -12 30 / 30 Tenglamaning ildizlari yig`indisini toping. A) 5 B) 6 C) 3 D) 4 0% Testni qayta ishga tushiring Baholash mezoni To'g'ri javob uchun 3,1 ball. Fikr-mulohaza yuboring Matematika abituriyent