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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

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 450,608

C) 40560,8

D) 45,0608

2 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 4

B) 2

C) 1

D) 3

3 / 40

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

A) 32

B) 27

C) 26

D) 48

4 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 46

B) 40

C) 44

D) 50

5 / 40

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

A) 64/5

B) 16

C) 10

D) 48/5

6 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 3

B) 4

C) 2

D) 1

7 / 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

8 / 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) 1/2

D) 1/3

9 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 132°

B) 138°

C) 142°

D) 135°

10 / 40

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

A) 0,216

B) 0,288

C) 0,144

D) 0,432

11 / 40

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

A) 32

B) 64

C) 8(π+2)

D) 16(π-2)

12 / 40

√3

A) 5/5

B) 3/2

C) 7/3

D) 21/10

13 / 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) 25

B) 105

C) 96

D) 100

14 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 3

D) 1

15 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

B) (7; 2), (28; -1)

C) (9; 0), (28; -1)

D) (9; 0), (2; 7)

16 / 40

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

A) 2

B) 1

C) 4

D) 3

17 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 12

C) 11

D) 9

18 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 12

D) 20

19 / 40

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

A) 5 yoki –15

B) 4 yoki –12

C) 6

D) 3 yoki –8

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) -3

C) 5

D) -4

21 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 121

C) 11

D) berilganlar yetarli emas

22 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

23 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

24 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 64

B) 32

C) 48

D) 42

25 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,04

C) 0,0(2)

D) 0,(04)

26 / 40

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

A) π/4+πk, k∈Z

B) -π/4+πk, k∈Z

C) 0

D) Ø

27 / 40

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

A) 6√7

B) 8

C) 10

D) 4√7

28 / 40

bo‘lsa,

A) 2

B) 3/2

C) 1

D) 2/3

29 / 40

Hisoblang:

A) cos10°

B) sin10°

C) cos50°

D) 1

30 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 50°

C) 30°

D) 40°

31 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 112

D) 115

32 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

33 / 40

Hisoblang:

A) -√3/2

B) 1/32

C) 0

D) -1/2

34 / 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) 2

B) 1

C) 4

D) 3

35 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 3√2

C) 2√2

D) 2√3

36 / 40

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

A) 20

B) 8

C) 15

D) 10

37 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) BD = BC

B) AB = BC

C) BC > AD

D) DC < AD

38 / 40

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