Barcha fanlardan online testlar

Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

192 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 0

Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

Hisoblang

A) 1/2

B) 2

C) √3

D) √3/2

2 / 30

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

A) 48√3

B) 54

C) 108

D) 52√3

3 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 25

B) 30

C) 15

D) 12

4 / 30

integralning qiymatini toping.

A) π/4

B) π/2

C) -π/2

D) 0

5 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁵⁰⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁴⁹⁵⁰

6 / 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) ixtiyoriy uchburchak

B) to`g`ri burchakli uchburchak

C) teng yonli uchburchak

D) muntazam uchburchak

7 / 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) 30°

C) 90°

D) 72°

8 / 30

Hisoblang

A) √3

B) 2√3

C) 3√3

D) 1

9 / 30

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

A) 16

B) 17

C) 18

D) 14

10 / 30

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

A) (-∞;6)

B) (-∞;6])v[6;∞)

C) 6

D) (2;∞)

11 / 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(cos2x)

D) -4sin2x*cos(2cos2x)

12 / 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) 52

B) 54

C) 108

D) 48

13 / 30

A) 1

B) 2

C) 3

D) 5

14 / 30

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

A) 6 π

B) 10 π

C) 7 π

D) 12π

15 / 30

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

A) a>b>c>d>e

B) e>b>a>d>c

C) b>a>c>d>e

D) b>c>a>d>e

16 / 30

tenglamalar sistemasini yeching

A) (-4;4)

B) (4;4)

C) (4;–4)

D) (-4;-4)

17 / 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+2cosα/4sin²)

B) πa²/4sin²α

C) πa²/4cos²α

D) πa²(1-2sinα/4sin²)

18 / 30

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

A) ⁴ᴷ⁺³√-√2k+1

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

C) (512-1/2⁻⁹)°

D) ²ᴷ⁺⁴v2k+1/k²+1

19 / 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) √32

B) 6

C) 3

D) √37

20 / 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

21 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (4; -3)

B) (-7;-1)

C) (-7; 1)

D) (7; 1)

22 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (0;+∞)

C) (-1/³ √2 ;0)

D) 0

23 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft ham emas, toq ham emas funksiya

B) bunday funksiya mavjud emas

C) toq funksiya

D) juft funksiya

24 / 30

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

A) a=12

B) a≠5

C) a≠12

D) a ning bunday qiymati yo’q

25 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2√2

B) 4

C) 2

D) √2

26 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [-2;4]v{6}

B) [1;6]

C) [2;4]v{2}v[3;∞)

D) (-∞;-6]v{2}v[12;∞)

27 / 30

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

A) 1/2

B) 1/3

C) -1/2

D) 2/5

28 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 0,5S

B) 2S

C) 4S

D) 3S

29 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.