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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 140/41

C) 139/41

D) 150/41

2 / 30

ifodaning qiymatini toping.

A) 0,5

B) -2

C) 0

D) -0,5

3 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 4

C) 3

D) 2

4 / 30

Soddalashtiring.

A) 2018

B) a+1

C) 2019

D) 2018a/a+1

5 / 30

integralning qiymatini toping.

A) π/2

B) π/4

C) 0

D) -π/2

6 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -0,5

C) -1

D) -0,75

7 / 30

Tengsizlikni yeching.

A) (2;4)

B) (-3;2)

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

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

8 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 2-x

C) x/25

D) 25/x

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) muntazam uchburchak

C) teng yonli uchburchak

D) to`g`ri burchakli uchburchak

10 / 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) 15

B) 30

C) 12

D) 25

11 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x-1/x+4|+c

B) ln(|x+4*|x-1|)+c

C) ln|x+4/x-1|+c

D) ln(|x+4+|x-1|)+c

12 / 30

n ning qanday qiymatida ushbu

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

A) 12

B) 11

C) 10

D) 14

13 / 30

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

A) 100°

B) 112,5°

C) 113°

D) 113,5°

14 / 30

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

A) (7; 1)

B) (-7;-1)

C) (4; -3)

D) (-7; 1)

15 / 30

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

A) 3

B) 5

C) 1

D) 2

16 / 30

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

A) 10

B) 8

C) 9

D) 7

17 / 30

Hisoblang:

A) 1

B) 3

C) -1

D) 2

18 / 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) 2

B) 0

C) 1

D) cheksiz ko’p

19 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 6

B) 5

C) 4

D) 10

20 / 30

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

A) 6200

B) 6000

C) 6100

D) 6300

21 / 30

Hisoblang

A) √3

B) 1

C) 3√3

D) 2√3

22 / 30

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

A) 6

B) 8

C) 4

D) 12

23 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (3;–4)

C) (4;3)

D) (4;–3)

24 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 9

B) 7

C) 6

D) 10

25 / 30

sonning oxirgi raqamini toping.

A) 6

B) 4

C) 2

D) 8

26 / 30

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

A) 3

B) 1

C) 2

D) 0

27 / 30

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

A) [cos2;1]

B) [0;cos2]

C) [-1;1]

D) [0;1]

28 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 6

B) 5

C) 3

D) 4

29 / 30

A) 2

B) √6

C) 0

D) 1

30 / 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) 7

B) 6

C) 8

D) 10