Barcha fanlardan online testlar

Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

205 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 0

Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 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) 5/24

B) 6/720

C) 1/60

D) 5/720

2 / 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) (4; -3)

D) (-7;-1)

3 / 30

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

A) -1/2

B) 1/3

C) 2/5

D) 1/2

4 / 30

Ifodani soddalashtiring.

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

A) 0,5

B) 1

C) 0

D) 2

5 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 16

B) 18

C) 17

D) 14

6 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a≠12

B) a ning bunday qiymati yo’q

C) a≠5

D) a=12

7 / 30

Hisoblang

A) √3/2

B) 1/2

C) 2

D) √3

8 / 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) 64√2π/3

C) 3√2π/4

D) 8√2π/5

9 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

10 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 6 π

B) 7 π

C) 12π

D) 10 π

11 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 14

C) 12

D) 11

12 / 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) 6

B) 3

C) √37

D) √32

13 / 30

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

A) 10

B) 11

C) 9

D) 12

14 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) toq funksiya

B) juft funksiya

C) bunday funksiya mavjud emas

D) juft ham emas, toq ham emas funksiya

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

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) 2100

B) 2000

C) 1900

D) 2200

17 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (3;–4)

C) (4;3)

D) (4;–3)

18 / 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

19 / 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) 108

C) 52√3

D) 48√3

20 / 30

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

A) 1/2

B) 1/6

C) 1

D) 1,2

21 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 225

B) 150

C) 50

D) 60

22 / 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

23 / 30

Soddalashtiring. (0<m<7)

A) m

B) 7-2m

C) 2m-7

D) 7

24 / 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) 8

B) 6

C) 7

D) 10

25 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) -139/41

C) 139/41

D) 150/41

26 / 30

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

A) (0,2)

B) (-∞;0])v[2;∞)

C) (-∞;0)v(2;∞)

D) (2;∞)

27 / 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

28 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) teng yonli uchburchak

B) ixtiyoriy uchburchak

C) muntazam uchburchak

D) to`g`ri burchakli uchburchak

29 / 30

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

A) 24√5

B) 32

C) 8√5

D) 16

30 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1-2sinα/4sin²)

B) πa²(1+2cosα/4sin²)

C) πa²/4sin²α

D) πa²/4cos²α