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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) -1/2

B) 1/2

C) 1/3

D) 2/5

2 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (-∞;6)

B) (2;∞)

C) 6

D) (-∞;6])v[6;∞)

3 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (3;–4)

C) (4;–3)

D) (4;3)

4 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) (-∞;1]

C) [10;∞)

D) (-∞;1]v[10;∞)

5 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft ham emas, toq ham emas funksiya

B) toq funksiya

C) juft funksiya

D) bunday funksiya mavjud emas

6 / 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

7 / 30

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

A) 9

B) 6

C) -6

D) -3

8 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) (-∞;2)

9 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6100

B) 6000

C) 6200

D) 6300

10 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) m

C) 7

D) 2m-7

11 / 30

Hisoblang.

A) 15/34

B) 2/34

C) 2/17

D) 17/34

12 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 38

B) 32

C) 36

D) 42

13 / 30

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

A) lg(ln x)

B) ln(lg x)

C) ln(ln x)

D) lg(lg x)

14 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 6

C) 4

D) 5

15 / 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) 4

B) 3√3

C) 2√3

D) 2√5

16 / 30

ifodaning qiymatini toping.

A) -2

B) 0,5

C) -0,5

D) 0

17 / 30

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

A) ⁴ᴷ⁺³√-√2k+1

B) ²ᴷ⁺⁴v2k+1/k²+1

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

D) (512-1/2⁻⁹)°

18 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (2;∞)

C) (-∞;2)

D) (-∞;2)v(2;∞)

19 / 30

integralning qiymatini toping.

A) 0

B) -π/2

C) π/2

D) π/4

20 / 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) aniqlab bo’lmaydi

B) 374389

C) 2

D) 412967

21 / 30

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

A) abc

B) ab/c

C) 1

D) ab

22 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;-6

B) ±6

C) ±;±6

D) -1;6

23 / 30

Sin9x =4sin3x tenglamani yeching

A) πn, n€Ζ

B) π/2+πn, n€Ζ

C) π/3+πn, n€Ζ

D) πn/3, n€Ζ

24 / 30

sonning oxirgi raqamini toping.

A) 6

B) 2

C) 8

D) 4

25 / 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) 72°

D) 30°

26 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 100°

B) 113,5°

C) 113°

D) 112,5°

27 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

28 / 30

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

A) 2π/3

B) π

C) π/2

D) 2π

29 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) cheksiz ko’p

C) 1

D) 4

30 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 24

B) 10

C) 12

D) 14