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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) lg(lg x)

B) ln(lg x)

C) lg(ln x)

D) ln(ln x)

2 / 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) 48√3

C) 52√3

D) 108

3 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±;±6

C) ±6

D) -1;-6

4 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) (512-1/2⁻⁹)°

B) ²ᴷ⁺⁴v2k+1/k²+1

C) ⁴ᴷ⁺³√-√2k+1

D) 4k+1/1/8:7-1/56

5 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (-∞;0)v(2;∞)

6 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 4π

B) 3π

C) 2π

D) 2π/3

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) 60

C) 50

D) 150

8 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) 6

B) -3

C) 9

D) -6

9 / 30

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

A) 28

B) 25

C) 30

D) 20

10 / 30

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

A) 5

B) 2

C) 3

D) 1

11 / 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) 16

B) 12

C) 8

D) 4

12 / 30

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

A) 10

B) 9

C) 11

D) 12

13 / 30

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

A) 5

B) 3

C) 6

D) 4

14 / 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

15 / 30

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

A) 1

B) 3e

C) √2e

D) e

16 / 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) 2100

B) 2000

C) 1900

D) 2200

17 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (1;2)

C) [1;2]

D) (-∞;1)v(2;∞)

18 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a≠12

B) a ning bunday qiymati yo’q

C) a=12

D) a≠5

19 / 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) 10

B) 8

C) 7

D) 6

20 / 30

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

A) 0

B) 3

C) 2

D) 1

21 / 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) 1

B) 2

C) cheksiz ko’p

D) 0

22 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 80

D) 64

23 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) -12

C) 12

D) 6

24 / 30

Hisoblang.

A) 15/34

B) 2/34

C) 17/34

D) 2/17

25 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

26 / 30

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

A) ayqash

B) o’zaro perpendikulyar

C) o’zaro parallel

D) aniqlab bo’lmaydi

27 / 30

tenglamani yeching.

A) 2017

B) 0

C) 2018

D) 2019

28 / 30

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

A) -14

B) -12

C) -10

D) -4

29 / 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) 96π

B) 56π

C) 72π

D) 100π

30 / 30

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

A) 5

B) 3

C) 4

D) 7