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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) (-∞;1)v(2;∞)

C) [1;2]

D) (-∞;1]v[2;∞)

2 / 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) 3S

B) 0,5S

C) 4S

D) 2S

3 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1,4

B) 3, 4

C) 2, 3

D) 1, 3

4 / 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) 18

B) 6

C) 3

D) 12

5 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 120

B) 60

C) 18

D) 47

6 / 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) 2100

C) 2000

D) 2200

7 / 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) (4; -3)

C) (7; 1)

D) (-7; 1)

8 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (2;∞)

9 / 30

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

A) (-∞;6])v[6;∞)

B) (-∞;6)

C) (2;∞)

D) 6

10 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 50

B) 10 yoki 50

C) 10

D) 2 yoki 50

11 / 30

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

A) 6

B) -3

C) -6

D) 9

12 / 30

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

A) 7000

B) 6200

C) 6900

D) 7200

13 / 30

ifodaning qiymatini toping.

A) 0,5

B) 0

C) -2

D) -0,5

14 / 30

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

A) 6 π

B) 7 π

C) 10 π

D) 12π

15 / 30

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

A) [0;1]

B) [0;cos2]

C) [-1;1]

D) [cos2;1]

16 / 30

tenglamalar sistemasini yeching

A) (-4;-4)

B) (-4;4)

C) (4;4)

D) (4;–4)

17 / 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(2cos2x)

C) -4sin2x*cos(cos2x)

D) -4sin2x*cos(2cos2x)

18 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) a>b>c>d>e

B) b>c>a>d>e

C) e>b>a>d>c

D) b>a>c>d>e

19 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 4

C) 2

D) 3,5

20 / 30

tenglamani yeching.

A) 2017

B) 2019

C) 2018

D) 0

21 / 30

n ning qanday qiymatida ushbu

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

A) 11

B) 12

C) 10

D) 14

22 / 30

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

A) 6

B) 4

C) 3

D) 5

23 / 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) 50

B) 225

C) 60

D) 150

24 / 30

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

A) √2e

B) 1

C) 3e

D) e

25 / 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) 40

C) 50

D) 54

26 / 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

27 / 30