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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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

2 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 20

C) 30

D) 28

3 / 30

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

A) -10/3

B) -10/27

C) 10/3

D) 10/27

4 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 0,5

B) 1/√2

C) 1

D) 1/√3

5 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) √7

B) bunday to’gri to’rtburchak mavjud emas

C) √37

D) 2

6 / 30

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

A) b>c>a>d>e

B) b>a>c>d>e

C) e>b>a>d>c

D) a>b>c>d>e

7 / 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

8 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {1;2}

B) {-1;3}

C) {-1;2}

D) {2;4}

9 / 30

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

A) 3

B) 2

C) 1, 3

D) 1, 2

10 / 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) 2S

B) 4S

C) 0,5S

D) 3S

11 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -14

B) -4

C) -12

D) -10

12 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5

B) 67,5√3

C) 48√3

D) 135√3/4

13 / 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) 72°

B) 60°

C) 30°

D) 90°

14 / 30

ifodaning qiymatini toping.

A) -0,5

B) -2

C) 0,5

D) 0

15 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 12

C) 11

D) 10

16 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 4

C) cheksiz ko’p

D) 3

17 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)v(2;∞)

C) (-∞;2)

D) [2;∞)

18 / 30

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

A) 9

B) 10

C) 12

D) 11

19 / 30

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

A) 36

B) 32

C) 38

D) 42

20 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,75

C) -0,5

D) -0,25

21 / 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) 10

C) 6

D) 7

22 / 30

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

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

B) (-∞;-6]v{2}v[12;∞)

C) [1;6]

D) [2;4]v{2}v[3;∞)

23 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [cos2;1]

B) [-1;1]

C) [0;cos2]

D) [0;1]

24 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 2, 3

C) 1,4

D) 1, 3

25 / 30

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

A) abc

B) ab/c

C) 1

D) ab

26 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 11

B) √46

C) 10

D) 12

27 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6200

B) 7000

C) 7200

D) 6900

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) to`g`ri burchakli uchburchak

B) teng yonli uchburchak

C) ixtiyoriy uchburchak

D) muntazam uchburchak

29 / 30

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

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

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) πa²/4sin²α

B) πa²(1-2sinα/4sin²)

C) πa²/4cos²α

D) πa²(1+2cosα/4sin²)