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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln(|x+4*|x-1|)+c

B) ln(|x+4+|x-1|)+c

C) ln|x+4/x-1|+c

D) ln|x-1/x+4|+c

2 / 30

Tengsizlikni yeching.

A) (-4;2)v(2;3)

B) (-3;2)

C) (2;4)

D) (-3;2)v(2;4)

3 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 3√3

B) 4

C) 2√3

D) 2√5

4 / 30

tenglamani yeching.

A) 0

B) 2017

C) 2019

D) 2018

5 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 7

C) 2m-7

D) m

6 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) (512-1/2⁻⁹)°

C) ⁴ᴷ⁺³√-√2k+1

D) 4k+1/1/8:7-1/56

7 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) o’tmas burchakli uchburchak

B) o’tkir burchakli uchburchak

C) to’gri burchakli uchburchak

D) teng tomonli uchburchak

8 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) π/2

B) π

C) 2π

D) 2π/3

9 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 3

B) 0

C) 1

D) 2

10 / 30

A) 1

B) 5

C) 3

D) 2

11 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -6

B) -3

C) 6

D) 9

12 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -12

B) -4

C) -14

D) -10

13 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 0

B) 0,5

C) 2

D) 1

14 / 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) 64√2π/3

B) 3√2π/4

C) 8√2π/5

D) (5√3+3)π/3

15 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 4π

B) 3π

C) 2π

D) 2π/3

16 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 1/√3

B) 1

C) 1/√2

D) 0,5

17 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4680

B) 4760

C) 4716

D) 4720

18 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 6

B) 4

C) 12

D) 8

19 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 15

B) 30

C) 12

D) 25

20 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (0,2)

B) (-∞;0)v(2;∞)

C) (2;∞)

D) (-∞;0])v[2;∞)

21 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²/4sin²α

B) πa²/4cos²α

C) πa²(1-2sinα/4sin²)

D) πa²(1+2cosα/4sin²)

22 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 12π

B) 2√3π

C) 4√3π

D) 3π

23 / 30

Hisoblang

A) 1/2

B) √3/2

C) 2

D) √3

24 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 2

B) 3

C) 4

D) 1

25 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 147

B) 228

C) 231

D) 150

26 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 5

B) 3

C) 4

D) 6

27 / 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) 8

B) 6

C) 7

D) 10

28 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 56π

B) 96π

C) 72π

D) 100π

29 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;3)

C) (4;–3)

D) (3;–4)

30 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 108

B) 48

C) 54

D) 52