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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 12

B) 14

C) 24

D) 10

2 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) cheksiz ko’p

B) 0

C) 2019

D) 1

3 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 2

C) 4

D) 3

4 / 30

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

A) -1/2

B) 1/2

C) 1/3

D) 2/5

5 / 30

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

A) e>b>a>d>c

B) b>c>a>d>e

C) b>a>c>d>e

D) a>b>c>d>e

6 / 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) 0

B) 1

C) cheksiz ko’p

D) 2

7 / 30

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

A) 10/3

B) 10/27

C) -10/3

D) -10/27

8 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 120

B) 47

C) 60

D) 18

9 / 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

10 / 30

Hisoblang:

A) 3

B) 1

C) -1

D) 2

11 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (–4;3)

C) (4;3)

D) (3;–4)

12 / 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) 6/720

C) 5/24

D) 5/720

13 / 30

Tengsizlik nechta butun yechimga ega?

A) 4

B) 1

C) cheksiz ko’p

D) 3

14 / 30

Hisoblang

A) 1

B) 0

C) -1

D) 2

15 / 30

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

A) ab/c

B) ab

C) abc

D) 1

16 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 30

C) 25

D) 32

17 / 30

integralning qiymatini toping.

A) 0

B) π/4

C) π/2

D) -π/2

18 / 30

Sin9x =4sin3x tenglamani yeching

A) π/2+πn, n€Ζ

B) πn, n€Ζ

C) πn/3, n€Ζ

D) π/3+πn, n€Ζ

19 / 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

20 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 108

B) 54

C) 48√3

D) 52√3

21 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 0

B) 0,5

C) 2

D) 1

22 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 4

B) 2

C) 1

D) 3

23 / 30

Tengsizlikni yeching.

A) (-3;2)

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

C) (2;4)

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

24 / 30

sistemadan x+y ning qiymatini toping.

A) -12

B) 6

C) 35/4

D) 12

25 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -0,25

C) -0,5

D) -1

26 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 2

B) 4

C) 3

D) 1

27 / 30

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

A) 7

B) 10

C) 6

D) 9

28 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (2;∞)

C) [2;∞)

D) (-∞;2)v(2;∞)

29 / 30

Hisoblang.

A) 2/34

B) 17/34

C) 2/17

D) 15/34

30 / 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) (5√3+3)π/3

B) 8√2π/5

C) 3√2π/4

D) 64√2π/3