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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

2 / 30

sonning oxirgi raqamini toping.

A) 2

B) 6

C) 4

D) 8

3 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) 1

C) 4

D) cheksiz ko’p

4 / 30

Hisoblang

A) 1

B) √3

C) 2√3

D) 3√3

5 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [cos2;1]

C) [0;cos2]

D) [0;1]

6 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) teng tomonli uchburchak

B) o’tkir burchakli uchburchak

C) o’tmas burchakli uchburchak

D) to’gri burchakli uchburchak

7 / 30

n ning qanday qiymatida ushbu

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

A) 11

B) 14

C) 10

D) 12

8 / 30

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

A) 1

B) 0

C) 2

D) 3

9 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -0,25

C) -1

D) -0,5

10 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (2;4)

C) (-3;2)v(2;4)

D) (-4;2)v(2;3)

11 / 30

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

A) 2

B) √15

C) √5

D) 3

12 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) -12

C) 6

D) 35/4

13 / 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) o‘zgarmaydi

D) 6,25% ga ortadi

14 / 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) 2

C) 1

D) 3

15 / 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)

16 / 30

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

A) b>c>a>d>e

B) a>b>c>d>e

C) e>b>a>d>c

D) b>a>c>d>e

17 / 30

Hisoblang:

A) 1

B) 2

C) -1

D) 3

18 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) juft funksiya

C) juft ham emas, toq ham emas funksiya

D) bunday funksiya mavjud emas

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) 7

B) 8

C) 6

D) 10

20 / 30

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

A) 12

B) 9

C) 11

D) 10

21 / 30

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

A) ab

B) abc

C) ab/c

D) 1

22 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 12

B) √46

C) 10

D) 11

23 / 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 uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 90°

B) 72°

C) 30°

D) 60°

24 / 30

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

A) 1, 2

B) 3

C) 2

D) 1, 3

25 / 30

tenglamani yeching.

A) 2018

B) 2019

C) 2017

D) 0

26 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;-6

B) ±;±6

C) ±6

D) -1;6

27 / 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) 2√2/3

B) 3√2+2/4

C) 3√3+1/5

D) 5√3+3/3

28 / 30

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