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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) c>a>b

C) a>b>c

D) a>c>b

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 2

B) 3

C) 1

D) 4

3 / 40

Agar bo‘lsa, x ni toping.

A) -2

B) 5

C) -5

D) 2

4 / 40

Agar bo'lsa ifodaning qiymatini toping.

A) 0

B) 9

C) 13

D) 7

5 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,32

B) 0,8

C) 0,16

D) 0,5

6 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y-2=0

B) 3x-2y+2=0

C) 3x+2y+2=0

D) 3x+2y-2=0

7 / 40

tenglamaning ildizlari yig'indisini(agar ildizi bitta bo'lsa, o'zini) toping.

A) 0

B) 2

C) 3

D) 1

8 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 27

B) 32

C) 48

D) 26

9 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²-4

C) f(x)=x²-x+5

D) f(x)=x²+3x+7

10 / 40

tenglamani yeching.

A) 5

B) log(5/3)2

C) log(3/5)2

D) 3

11 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -2

C) 0

D) -1

12 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 1

B) 12

C) 7

D) 5

13 / 40

Soddalashtiring:

A) 2

B) Aniqlab bo`lmaydi

C) 3

D) 1

14 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) b,d

B) b

C) )a,b,d

D) a,b

15 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 10

B) 16

C) 48/5

D) 64/5

16 / 40

Yig‘indini toping.

A) 1/12

B) 1/4

C) 1/9

D) 1/6

17 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 3

B) 2

C) 1

D) 4

18 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) -4

C) -√17

D) 4

19 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 41

C) 32

D) 25

20 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 3600

B) 4800

C) 5050

D) 600

21 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) √6

C) √5

D) 2,5

22 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 1

C) 4

D) 2

23 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 4

B) 2

C) 1

D) 3

24 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √2/8

C) √3/8

D) √3/4

25 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) (m+4)/4

C) 2/m

D) (4-m)/4

26 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 5

C) 6

D) 2

27 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 25

B) 10

C) 30

D) 0

28 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 48

B) 32

C) 16

D) 64

29 / 40

Hisoblang:

A) 6

B) 0

C) 8

D) 4

30 / 40

Tenglamani yeching:

A) 6/5

B) 5*4

C) 9/5

D) 5/9

31 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 5/6

B) 8/15

C) 1/3

D) 1/2

32 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 144π

B) 96π

C) 192π

D) 72π

33 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 8√3

C) 12√3

D) 9√5

34 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.