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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) ayqash

B) o’zaro perpendikulyar

C) aniqlab bo’lmaydi

D) o’zaro parallel

2 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 3,5

C) 4

D) 2

3 / 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) 36

B) 54

C) 40

D) 50

4 / 30

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

A) 1/6

B) 1

C) 1/2

D) 1,2

5 / 30

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

A) 54

B) 108

C) 48√3

D) 52√3

6 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1)v(2;∞)

C) (1;2)

D) (-∞;1]v[2;∞)

7 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 16

B) 18

C) 17

D) 14

8 / 30

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

A) 3

B) 2

C) 1

D) 0

9 / 30

Hisoblang:

A) 3

B) -1

C) 1

D) 2

10 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 12

C) 35/4

D) 6

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) 4680

C) 4716

D) 4720

12 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (2;∞)

C) (-∞;2)v(2;∞)

D) [2;∞)

13 / 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) 7

C) 6

D) 10

14 / 30

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

A) lg(ln x)

B) ln(ln x)

C) ln(lg x)

D) lg(lg x)

15 / 30

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

A) (0,2)

B) (-∞;0)v(2;∞)

C) (-∞;0])v[2;∞)

D) (2;∞)

16 / 30

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

A) 7

B) 9

C) 10

D) 8

17 / 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) 52

B) 108

C) 48

D) 54

18 / 30

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

A) 3

B) 2

C) 1

D) 5

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) 30

B) 15

C) 12

D) 25

20 / 30

Hisoblang

A) -1

B) 1

C) 2

D) 0

21 / 30

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

A) 1/3

B) 1/2

C) 2/5

D) -1/2

22 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (-1/³ √2 ;0)

C) (0;+∞)

D) 0

23 / 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) √37

B) 3

C) √32

D) 6

24 / 30

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

A) 2π/3

B) π/2

C) π

D) 2π

25 / 30

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

A) 3

B) 2

C) 1, 2

D) 1, 3

26 / 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) o‘zgarmaydi

C) 6,25% ga ortadi

D) 6,25% ga kamayadi

27 / 30

tenglamani yeching.

A) 2017

B) 2018

C) 0

D) 2019

28 / 30

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

A) 16

B) 8√5

C) 32

D) 24√5

29 / 30

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

A) √2

B) 2

C) √3

D) 1

30 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 8

B) 12

C) 16

D) 4