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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) (-∞;0)v(2;∞)

B) (-∞;0])v[2;∞)

C) (2;∞)

D) (0,2)

2 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 1/60

B) 5/720

C) 5/24

D) 6/720

3 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 140/41

C) -139/41

D) 150/41

4 / 30

Sin9x =4sin3x tenglamani yeching

A) πn, n€Ζ

B) πn/3, n€Ζ

C) π/2+πn, n€Ζ

D) π/3+πn, n€Ζ

5 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 10 yoki 50

B) 2 yoki 50

C) 50

D) 10

6 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 8√2π/5

B) 64√2π/3

C) 3√2π/4

D) (5√3+3)π/3

7 / 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√3+1/5

C) 3√2+2/4

D) 5√3+3/3

8 / 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) 2200

B) 1900

C) 2100

D) 2000

9 / 30

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

A) 1/6

B) 1/2

C) 1,2

D) 1

10 / 30

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

A) -1/2

B) 2/5

C) 1/2

D) 1/3

11 / 30

A) 0

B) 1

C) √6

D) 2

12 / 30

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

A) 8√5

B) 24√5

C) 32

D) 16

13 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 22222222220

B) 222220175

C) 222222222222

D) 2222222175

14 / 30

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

A) 2

B) 3

C) 0

D) 1

15 / 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) e>b>a>d>c

C) a>b>c>d>e

D) b>c>a>d>e

16 / 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) 4

D) 2√3

17 / 30

Soddalashtiring.

A) 2018

B) a+1

C) 2019

D) 2018a/a+1

18 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) 10/3

B) 10/27

C) -10/27

D) -10/3

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

A) 60°

B) 90°

C) 30°

D) 72°

20 / 30

sonning oxirgi raqamini toping.

A) 4

B) 6

C) 2

D) 8

21 / 30

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

A) to’gri burchakli uchburchak

B) o’tkir burchakli uchburchak

C) teng tomonli uchburchak

D) o’tmas burchakli uchburchak

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) 54

B) 52√3

C) 108

D) 48√3

23 / 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) 6

C) 8

D) 7

24 / 30

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

A) 2

B) 3

C) 1, 3

D) 1, 2

25 / 30

tenglamani yeching.

A) 2017

B) 2018

C) 0

D) 2019

26 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) bunday funksiya mavjud emas

C) toq funksiya

D) juft ham emas, toq ham emas funksiya

27 / 30

Hisoblang:

A) 3

B) 2

C) 1

D) -1

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) 147

B) 150

C) 228

D) 231

29 / 30

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