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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Ifodani soddalashtiring.

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

A) 1

B) 0,5

C) 0

D) 2

2 / 30

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

A) e⁴⁹⁵⁰

B) e⁻⁴⁹⁵⁰

C) e⁵⁰⁵⁰

D) e⁻⁵⁰⁵⁰

3 / 30

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

A) 1, 2

B) 2

C) 3

D) 1, 3

4 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) 6

B) -3

C) -6

D) 9

5 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 8

B) 12

C) 6

D) 4

6 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (-∞;0)v(2;∞)

7 / 30

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

A) 6900

B) 7000

C) 7200

D) 6200

8 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π/3

B) 3π

C) 2π

D) 4π

9 / 30

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

A) 2,5% ga ortadi

B) 6,25% ga kamayadi

C) 6,25% ga ortadi

D) o‘zgarmaydi

10 / 30

sonning oxirgi raqamini toping.

A) 6

B) 8

C) 4

D) 2

11 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 140/41

C) 150/41

D) 139/41

12 / 30

Tengsizlikni yeching.

A) (2;4)

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

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

D) (-3;2)

13 / 30

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

A) 10

B) 12

C) 11

D) √46

14 / 30

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

A) o’zaro kesishadi

B) o’zaro perpendikulyar

C) o’zaro parallel

D) ayqash to’gri chiziqlar

15 / 30

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

A) 20

B) 25

C) 30

D) 28

16 / 30

Hisoblang

A) -1

B) 0

C) 2

D) 1

17 / 30

A) 0

B) √6

C) 2

D) 1

18 / 30

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

A) 1

B) 5

C) 3

D) 2

19 / 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) 12

B) 25

C) 15

D) 30

20 / 30

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

A) 6 π

B) 10 π

C) 12π

D) 7 π

21 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,5

C) -0,25

D) -0,75

22 / 30

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

A) 9

B) 10

C) 12

D) 11

23 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) 0

B) 1

C) 2019

D) cheksiz ko’p

24 / 30

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

A) (2;∞)

B) (-∞;6])v[6;∞)

C) (-∞;6)

D) 6

25 / 30

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

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

B) ⁴ᴷ⁺³√-√2k+1

C) ²ᴷ⁺⁴v2k+1/k²+1

D) (512-1/2⁻⁹)°

26 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) √2e

B) 1

C) 3e

D) e

27 / 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) 1900

B) 2000

C) 2200

D) 2100

28 / 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) 5/24

D) 6/720

29 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;6

C) ±6

D) -1;-6

30 / 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) 2

B) bunday to’gri to’rtburchak mavjud emas

C) √7

D) √37