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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) ayqash to’gri chiziqlar

B) o’zaro perpendikulyar

C) o’zaro kesishadi

D) o’zaro parallel

2 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) [10;∞)

C) (-∞;1]v[10;∞)

D) 1; 10

3 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) 150/41

C) 139/41

D) -139/41

4 / 30

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

A) (-∞;0])v[2;∞)

B) (0,2)

C) (-∞;0)v(2;∞)

D) (2;∞)

5 / 30

Sin9x =4sin3x tenglamani yeching

A) π/2+πn, n€Ζ

B) π/3+πn, n€Ζ

C) πn, n€Ζ

D) πn/3, n€Ζ

6 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 50

B) 40

C) 36

D) 54

7 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 225

B) 150

C) 60

D) 50

8 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) 1

B) √2

C) 2

D) √3

9 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 16

B) 24√5

C) 8√5

D) 32

10 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 7

B) 5

C) 4

D) 3

11 / 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) 4760

B) 4716

C) 4720

D) 4680

12 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -0,5

C) -1

D) -0,25

13 / 30

sistemadan x+y ning qiymatini toping.

A) 6

B) 35/4

C) -12

D) 12

14 / 30

Tengsizlikni yeching.

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

B) (-3;2)

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

D) (2;4)

15 / 30

Hisoblang:

A) 3

B) 2

C) 1

D) -1

16 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/2

B) 2/5

C) -1/2

D) 1/3

17 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga ortadi

B) o‘zgarmaydi

C) 2,5% ga ortadi

D) 6,25% ga kamayadi

18 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 24

B) 14

C) 12

D) 10

19 / 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

20 / 30

tenglamani yeching.

A) 2017

B) 2018

C) 2019

D) 0

21 / 30

Soddalashtiring.

A) 2019

B) a+1

C) 2018a/a+1

D) 2018

22 / 30

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

A) o’tmas burchakli uchburchak

B) teng tomonli uchburchak

C) to’gri burchakli uchburchak

D) o’tkir burchakli uchburchak

23 / 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+2cosα/4sin²)

B) πa²/4cos²α

C) πa²(1-2sinα/4sin²)

D) πa²/4sin²α

24 / 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) 2

C) √37

D) √7

25 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 5

B) 6

C) 7

D) 4

26 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 11

B) 12

C) 9

D) 10

27 / 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) 48

B) 54

C) 108

D) 52

28 / 30

Tengsizlikni yeching.