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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (2;∞)

C) (-∞;2)v(2;∞)

D) (-∞;2)

2 / 30

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

A) 112,5°

B) 100°

C) 113°

D) 113,5°

3 / 30

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

A) (-∞;2)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) (∞;∞)

4 / 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) 30

B) 12

C) 25

D) 15

5 / 30

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

A) 2,5% ga ortadi

B) 6,25% ga kamayadi

C) 6,25% ga ortadi

D) o‘zgarmaydi

6 / 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

7 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) 2x+3y+z=0

B) x-1/2=y-2/3=z-3/4

C) x=y/3=z/2

D) -x-y+z=0

8 / 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

9 / 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) 150

C) 231

D) 228

10 / 30

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

A) o’zaro perpendikulyar

B) ayqash to’gri chiziqlar

C) o’zaro parallel

D) o’zaro kesishadi

11 / 30

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

A) -4

B) -14

C) -10

D) -12

12 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) 1; 10

C) [10;∞)

D) (-∞;1]

13 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/2

B) 1,2

C) 1/6

D) 1

14 / 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) √32

B) 6

C) √37

D) 3

15 / 30

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

A) 7

B) 10

C) 9

D) 6

16 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) ln(lg x)

B) ln(ln x)

C) lg(ln x)

D) lg(lg x)

17 / 30

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

A) (2;∞)

B) (-∞;6)

C) 6

D) (-∞;6])v[6;∞)

18 / 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) 2√5

B) 3√3

C) 2√3

D) 4

19 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (3;–4)

C) (4;3)

D) (4;–3)

20 / 30

Soddalashtiring.

A) 2018a/a+1

B) 2019

C) a+1

D) 2018

21 / 30

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

A) (-∞;0)v(2;∞)

B) (2;∞)

C) (-∞;0])v[2;∞)

D) (0,2)

22 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 48√3

B) 108

C) 52√3

D) 54

23 / 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) 40

B) 54

C) 36

D) 50

24 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 2

B) 3

C) 1, 2

D) 1, 3

25 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 48√3

B) 135√3/4

C) 67,5√3

D) 67,5

26 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) √2e

B) 1

C) 3e

D) e

27 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) cheksiz ko’p

B) 0

C) 2

D) 1

28 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [2;4]v{2}v[3;∞)

B) (-∞;-6]v{2}v[12;∞)

C) [-2;4]v{6}

D) [1;6]

29 / 30

x²-5|x|-6=0 tenglama ildizini toping