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

A) 6

B) 4

C) 5

D) 7

2 / 30

Hisoblang:

A) -1

B) 3

C) 1

D) 2

3 / 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

4 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 374389

B) 2

C) 412967

D) aniqlab bo’lmaydi

5 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 22222222220

B) 222222222222

C) 222220175

D) 2222222175

6 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 36

B) 54

C) 50

D) 40

7 / 30

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

A) 24√5

B) 16

C) 8√5

D) 32

8 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) 2π/3

B) π

C) π/2

D) 2π

9 / 30

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

A) (-∞;0)v(2;∞)

B) (-∞;0])v[2;∞)

C) (2;∞)

D) (0,2)

10 / 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

11 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) -139/41

C) 150/41

D) 139/41

12 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) 4sin2x*cos(cos2x)

B) -4sin2x*cos(cos2x)

C) 4sin2x*cos(2cos2x)

D) -4sin2x*cos(2cos2x)

13 / 30

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

A) 38

B) 42

C) 32

D) 36

14 / 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) 108

C) 52

D) 54

15 / 30

n ning qanday qiymatida ushbu

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

A) 12

B) 14

C) 10

D) 11

16 / 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

17 / 30

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

A) 6

B) 8

C) 5

D) 4

18 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 4

B) 8

C) 16

D) 12

19 / 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

20 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) teng tomonli uchburchak

B) to’gri burchakli uchburchak

C) o’tkir burchakli uchburchak

D) o’tmas burchakli uchburchak

21 / 30

Hisoblang.

A) 2/34

B) 17/34

C) 15/34

D) 2/17

22 / 30

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

A) 3

B) 1, 3

C) 2

D) 1, 2

23 / 30

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

A) √5/2

B) 1

C) √3/2

D) 1,5

24 / 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

25 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 25

C) 32

D) 30

26 / 30

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

A) 6

B) 7

C) 10

D) 9

27 / 30

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

A) 1/3

B) 1/2

C) -1/2

D) 2/5

28 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 2m-7

C) m

D) 7-2m

29 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 6

B) 3

C) 12

D) 18

30 / 30

Hisoblang