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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1)v(2;∞)

C) (-∞;1]v[2;∞)

D) (1;2)

2 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) muntazam uchburchak

B) ixtiyoriy uchburchak

C) to`g`ri burchakli uchburchak

D) teng yonli uchburchak

3 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 20

B) 28

C) 30

D) 25

4 / 30

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

A) 3

B) 5

C) 6

D) 4

5 / 30

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

A) (-∞;0)v(2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (2;∞)

6 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) bunday to’gri to’rtburchak mavjud emas

B) √7

C) 2

D) √37

7 / 30

Hisoblang

A) 1

B) -1

C) 2

D) 0

8 / 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) 4720

C) 4716

D) 4760

9 / 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) 0,5S

B) 4S

C) 2S

D) 3S

10 / 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) 2200

B) 2100

C) 2000

D) 1900

11 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 7

B) 10

C) 8

D) 9

12 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2√2

B) 2

C) 4

D) √2

13 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) √3/2

B) 1,5

C) 1

D) √5/2

14 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 4

C) 3,5

D) 3

15 / 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(1-2sinα/4sin²)

B) πa²(1+2cosα/4sin²)

C) πa²/4cos²α

D) πa²/4sin²α

16 / 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(cos2x)

C) 4sin2x*cos(2cos2x)

D) -4sin2x*cos(2cos2x)

17 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) ayqash to’gri chiziqlar

B) o’zaro kesishadi

C) o’zaro perpendikulyar

D) o’zaro parallel

18 / 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) 150

B) 228

C) 231

D) 147

19 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 2-x

C) 2/x

D) 25/x

20 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 140/41

C) 139/41

D) 150/41

21 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 22222222220

B) 2222222175

C) 222222222222

D) 222220175

22 / 30

Hisoblang

A) 3√3

B) 1

C) √3

D) 2√3

23 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) (-∞;1]v[10;∞)

C) [10;∞)

D) (-∞;1]

24 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 7200

B) 6900

C) 7000

D) 6200

25 / 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

26 / 30

ifodaning qiymatini toping.

A) -2

B) 0

C) 0,5

D) -0,5

27 / 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

28 / 30

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