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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 150

B) 60

C) 225

D) 50

2 / 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

3 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 5

B) 3

C) 2

D) 1

4 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1,4

C) 2, 3

D) 1, 3

5 / 30

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

A) 10

B) 8

C) 7

D) 9

6 / 30

Tengsizlikni yeching.

A) (0;+∞)

B) 0

C) (-1/³ √2 ;0)

D) to'g'ri javob yo'q

7 / 30

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

A) -1/2

B) 2/5

C) 1/2

D) 1/3

8 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 7

B) 5

C) 4

D) 6

9 / 30

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

A) 1/6

B) 1/2

C) 1

D) 1,2

10 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6300

B) 6000

C) 6100

D) 6200

11 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 16

B) 24

C) 32

D) 20

12 / 30

Soddalashtiring.

A) 2018

B) a+1

C) 2019

D) 2018a/a+1

13 / 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) 5/720

B) 1/60

C) 6/720

D) 5/24

14 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) 1

B) 1,5

C) √5/2

D) √3/2

15 / 30

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

A) (-∞;0)v(2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (2;∞)

16 / 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) 4720

C) 4680

D) 4760

17 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 6,25% ga ortadi

B) 6,25% ga kamayadi

C) o‘zgarmaydi

D) 2,5% ga ortadi

18 / 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

19 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) (-∞;1]v[2;∞)

C) (-∞;1)v(2;∞)

D) [1;2]

20 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 3√2+2/4

B) 5√3+3/3

C) 2√2/3

D) 3√3+1/5

21 / 30

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

A) [0;1]

B) [-1;1]

C) [cos2;1]

D) [0;cos2]

22 / 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;∞)

23 / 30

Tengsizlikni yeching.

A) (2;4)

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

C) (-3;2)

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

24 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)

C) [2;∞)

D) (-∞;2)v(2;∞)

25 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 100°

B) 113°

C) 113,5°

D) 112,5°

26 / 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) 30

B) 12

C) 15

D) 25

27 / 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) 3S

C) 4S

D) 2S

28 / 30

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

A) -10/3

B) 10/27

C) 10/3

D) -10/27

29 / 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) 3

B) 6

C) √37

D) √32

30 / 30