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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 2

B) 3

C) 1

D) 4

2 / 40

ko’paytmani hisoblang.

A) 480000

B) 0

C) 86420000

D) 10000

3 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) (-∞;-2]

C) [-3;2]∪{1}

D) [-2;1]∪{-3}

4 / 40

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

A) f(x)=x²-4

B) f(x)=x²-x+5

C) f(x)+2x²-1

D) f(x)=x²+3x+7

5 / 40

Soddalashtiring:

A) 1

B) Aniqlab bo`lmaydi

C) 2

D) 3

6 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 3

B) 4

C) 2

D) 1

7 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,144

B) 0,216

C) 0,288

D) 0,432

8 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 35

B) 40

C) 20

D) 25

9 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 1

B) 5

C) 0

D) 8

10 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 52

C) 40

D) 48

11 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 12

B) 14

C) 15

D) 13

12 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 10

B) 8

C) 20

D) 15

13 / 40

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

A) 5

B) 3

C) 8

D) -2

14 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 4√2

B) 4√3

C) 6

D) 3√2

15 / 40

Hisoblang:

A) cos10°

B) 1

C) cos50°

D) sin10°

16 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 14

D) 20

17 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 4

B) 3

C) 2

D) 1

18 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 24

D) 28

19 / 40

√3

A) 3/2

B) 21/10

C) 7/3

D) 5/5

20 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -6

B) -4

C) 5

D) -3

21 / 40

Hisoblang:

A) 19/20

B) 9/10

C) 10/11

D) 20/21

22 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 5

C) 6

D) 8

23 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 3

D) 4

24 / 40

Hisoblang:

A) -√3/2

B) 1/32

C) -1/2

D) 0

25 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 4√7

B) 8

C) 6√7

D) 10

26 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

27 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

28 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 20°

C) 50°

D) 30°

29 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3ctg40° tg70°

30 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 2

B) 3

C) 1

D) 4

31 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 6

B) 4 yoki –12

C) 5 yoki –15

D) 3 yoki –8

32 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 6

C) 11

D) 4

33 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 4

D) 2

34 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 100

B) 105

C) 96

D) 25

35 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 16(π-2)

B) 8(π+2)

C) 32

D) 64

36 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 43

B) 42

C) 45

D) 44

37 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

38 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) 0

B) Ø

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

39 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 115

D) 112

40 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 6

B) 8

C) 10

D) 12