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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 1

B) 0

C) 3

D) 2

2 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4716

B) 4760

C) 4680

D) 4720

3 / 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) 1

B) 1/√3

C) 0,5

D) 1/√2

4 / 30

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

A) 2

B) 1, 3

C) 3

D) 1, 2

5 / 30

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

A) a≠5

B) a=12

C) a ning bunday qiymati yo’q

D) a≠12

6 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 64

C) 80

D) 75

7 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 139/41

C) 140/41

D) -139/41

8 / 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) 5/720

C) 6/720

D) 5/24

9 / 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) teng yonli uchburchak

C) muntazam uchburchak

D) to`g`ri burchakli uchburchak

10 / 30

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

A) ⁴ᴷ⁺³√-√2k+1

B) (512-1/2⁻⁹)°

C) ²ᴷ⁺⁴v2k+1/k²+1

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

11 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3

C) 4

D) 3,5

12 / 30

Sin9x =4sin3x tenglamani yeching

A) π/2+πn, n€Ζ

B) πn, n€Ζ

C) π/3+πn, n€Ζ

D) πn/3, n€Ζ

13 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 25/x

C) 2-x

D) 2/x

14 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 4π

B) 3π

C) 2π

D) 2π/3

15 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 7

B) 9

C) 10

D) 8

16 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 2m-7

C) 7-2m

D) m

17 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 5

B) 6

C) 3

D) 4

18 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 8

B) 4

C) 6

D) 5

19 / 30

Tengsizlikni yeching.

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

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

C) (-3;2)

D) (2;4)

20 / 30

Hisoblang

A) 2

B) -1

C) 1

D) 0

21 / 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) 2√3

B) 2√5

C) 3√3

D) 4

22 / 30

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

A) 8√5

B) 16

C) 24√5

D) 32

23 / 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) 1

B) cheksiz ko’p

C) 0

D) 2

24 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro parallel

B) o’zaro kesishadi

C) ayqash to’gri chiziqlar

D) o’zaro perpendikulyar

25 / 30

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

A) (2;∞)

B) (-∞;0)v(2;∞)

C) (0,2)

D) (-∞;0])v[2;∞)

26 / 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}

27 / 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) 135√3/4

C) 67,5√3

D) 48√3

28 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (-∞;1)v(2;∞)

C) (1;2)

D) [1;2]

29 / 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) a>b>c>d>e

C) e>b>a>d>c

D) b>a>c>d>e

30 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 150

B) 228

C) 231

D) 147