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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 4

B) 3√3

C) 2√3

D) 2√5

2 / 30

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

A) 9

B) 10

C) 7

D) 6

3 / 30

Hisoblang

A) √3

B) 2√3

C) 3√3

D) 1

4 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 7

B) 4

C) 3

D) 5

5 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) √2

B) 4

C) 2√2

D) 2

6 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) √5

B) 3

C) √15

D) 2

7 / 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) o‘zgarmaydi

C) 6,25% ga kamayadi

D) 6,25% ga ortadi

8 / 30

Tengsizlikni yeching.

A) 0

B) (-1/³ √2 ;0)

C) (0;+∞)

D) to'g'ri javob yo'q

9 / 30

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

A) (512-1/2⁻⁹)°

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

C) ²ᴷ⁺⁴v2k+1/k²+1

D) ⁴ᴷ⁺³√-√2k+1

10 / 30

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

A) 30

B) 25

C) 28

D) 20

11 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) cheksiz ko’p

C) 4

D) 1

12 / 30

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

A) e⁻⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁵⁰⁵⁰

D) e⁴⁹⁵⁰

13 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π/3

B) 4π

C) 2π

D) 3π

14 / 30

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

A) 1/2

B) 1/3

C) 2/5

D) -1/2

15 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) ab/c

B) ab

C) abc

D) 1

16 / 30

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

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (-∞;2)

D) (∞;∞)

17 / 30

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

A) 32

B) 42

C) 36

D) 38

18 / 30

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

A) [0;1]

B) [0;cos2]

C) [-1;1]

D) [cos2;1]

19 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) √3

B) √2

C) 2

D) 1

20 / 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>a>c>d>e

C) e>b>a>d>c

D) b>c>a>d>e

21 / 30

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

A) 6

B) (-∞;6)

C) (2;∞)

D) (-∞;6])v[6;∞)

22 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (-∞;1]v[2;∞)

C) [1;2]

D) (1;2)

23 / 30

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

A) 1,2

B) 1/2

C) 1

D) 1/6

24 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 2

B) 4

C) 3

D) 1

25 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 2-x

C) 2/x

D) 25/x

26 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 7

C) 2m-7

D) m

27 / 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) 6

B) 8

C) 10

D) 7

28 / 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) 10

B) 50

C) 10 yoki 50

D) 2 yoki 50

29 / 30

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

A) 10

B) 12

C) √46

D) 11

30 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1+2cosα/4sin²)

B) πa²(1-2sinα/4sin²)

C) πa²/4sin²α

D) πa²/4cos²α