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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 412967

B) aniqlab bo’lmaydi

C) 374389

D) 2

2 / 30

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

A) 2

B) 0

C) 3

D) 1

3 / 30

Hisoblang.

A) 15/34

B) 17/34

C) 2/17

D) 2/34

4 / 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) 3

D) √37

5 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2

B) 4

C) 2√2

D) √2

6 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) b>a>c>d>e

B) b>c>a>d>e

C) e>b>a>d>c

D) a>b>c>d>e

7 / 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) 52

D) 108

8 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) 6

C) -12

D) 12

9 / 30

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

A) 9

B) 7

C) 10

D) 6

10 / 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) 72π

B) 96π

C) 100π

D) 56π

11 / 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

12 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) -139/41

C) 140/41

D) 150/41

13 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) [2;∞)

14 / 30

Soddalashtiring. (0<m<7)

A) 2m-7

B) 7

C) m

D) 7-2m

15 / 30

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

A) 1

B) 3e

C) e

D) √2e

16 / 30

A) 1

B) √6

C) 2

D) 0

17 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) cheksiz ko’p

C) 1

D) 4

18 / 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

19 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) √5

B) 3

C) √15

D) 2

20 / 30

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

A) π

B) 2π

C) π/2

D) 2π/3

21 / 30

Soddalashtiring.

A) 2018

B) 2019

C) a+1

D) 2018a/a+1

22 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;-4)

C) (-4;4)

D) (4;4)

23 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 64

D) 80

24 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁴⁹⁵⁰

B) e⁵⁰⁵⁰

C) e⁻⁵⁰⁵⁰

D) e⁴⁹⁵⁰

25 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (7; 1)

B) (-7; 1)

C) (-7;-1)

D) (4; -3)

26 / 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

27 / 30

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

A) 3

B) 6

C) 5

D) 4

28 / 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) 150

C) 231

D) 147

29 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 3√2+2/4

B) 5√3+3/3

C) 3√3+1/5

D) 2√2/3

30 / 30

ifodaning qiymatini toping.