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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

tenglamalar sistemasini yeching

A) (4;3)

B) (3;–4)

C) (4;–3)

D) (–4;3)

2 / 30

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

A) o’zaro kesishadi

B) o’zaro perpendikulyar

C) ayqash to’gri chiziqlar

D) o’zaro parallel

3 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 4

B) 1

C) 3

D) 2

4 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 11

B) 14

C) 12

D) 10

5 / 30

Hisoblang.

A) 15/34

B) 2/34

C) 17/34

D) 2/17

6 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 7

B) 9

C) 10

D) 6

7 / 30

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

A) 11

B) 10

C) 12

D) 9

8 / 30

Hisoblang

A) √3/2

B) √3

C) 2

D) 1/2

9 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) [10;∞)

B) (-∞;1]v[10;∞)

C) 1; 10

D) (-∞;1]

10 / 30

Soddalashtiring.

A) 2018

B) 2019

C) 2018a/a+1

D) a+1

11 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 2

C) 3

D) 5

12 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(2cos2x)

B) 4sin2x*cos(cos2x)

C) 4sin2x*cos(2cos2x)

D) -4sin2x*cos(cos2x)

13 / 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) √37

B) bunday to’gri to’rtburchak mavjud emas

C) 2

D) √7

14 / 30

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

A) -10

B) -4

C) -12

D) -14

15 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 3π/2

B) 2π/3

C) 3π/4

D) 4π/3

16 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

17 / 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) πa²/4cos²α

B) πa²(1+2cosα/4sin²)

C) πa²/4sin²α

D) πa²(1-2sinα/4sin²)

18 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (-∞;2)

D) [2;∞)

19 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 112,5°

B) 100°

C) 113,5°

D) 113°

20 / 30

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

A) o‘zgarmaydi

B) 6,25% ga ortadi

C) 6,25% ga kamayadi

D) 2,5% ga ortadi

21 / 30

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

A) 8

B) 10

C) 7

D) 9

22 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (2;∞)

C) (-∞;2)v(2;∞)

D) (-∞;2)

23 / 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

B) 0,5

C) 1/√3

D) 1/√2

24 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (2;∞)

B) (-∞;6])v[6;∞)

C) (-∞;6)

D) 6

25 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) ayqash

B) o’zaro parallel

C) aniqlab bo’lmaydi

D) o’zaro perpendikulyar

26 / 30

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

A) 7

B) 4

C) 6

D) 5

27 / 30

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

A) 3

B) 5

C) 4

D) 7

28 / 30

integralning qiymatini toping.

A) π/2

B) 0

C) π/4

D) -π/2

29 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) ab/c

B) ab

C) 1

D) abc

30 / 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) 228

B) 147

C) 150

D) 231