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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

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 3

B) 2

C) 4

D) 2,5

2 / 40

tengsizlikni yeching.

A) x∈(-∞;5)

B) x∈(-3;1)

C) x∈(-∞;5)∪(-3;1)

D) x∈(-5;1)

3 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 2

B) 4

C) 1

D) 3

4 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 126

C) 108

D) 114

5 / 40

Hisoblang:

A) 2

B) 1

C) 3

D) 4

6 / 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

7 / 40

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

A) 0

B) 25

C) 10

D) 30

8 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 56/65

B) 48/65

C) 36/65

D) 40/63

9 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 1

C) 3

D) 2

10 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 4

C) 1

D) 2

11 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

12 / 40

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

A) 4 yoki –12

B) 3 yoki –8

C) 5 yoki –15

D) 6

13 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 3

C) 2

D) 4

14 / 40

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

A) 20

B) 10

C) 15

D) 8

15 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 11

B) 5

C) 10

D) 7

16 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 50°

D) 20°

17 / 40

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

A) 42

B) 32

C) 48

D) 64

18 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 5

C) 6

D) 4

19 / 40

Hisoblang:

A) -1/2

B) 1/32

C) -√3/2

D) 0

20 / 40

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

A) 13

B) 15

C) 14

D) 12

21 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 12

D) 10

22 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√3

C) 2√2

D) 4√3

23 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,04

C) 0,0(4)

D) 0,0(2)

24 / 40

√3

A) 5/5

B) 7/3

C) 3/2

D) 21/10

25 / 40

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

A) π/4+πk, k∈Z

B) -π/4+πk, k∈Z

C) Ø

D) 0

26 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

27 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 12

D) 10

28 / 40

bo‘lsa,

A) 2

B) 2/3

C) 1

D) 3/2

29 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

30 / 40

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

A) 5

B) -2

C) 3

D) 8

31 / 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) 96

C) 100

D) 105

32 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 112

D) 116

33 / 40

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

A) 5

B) 8

C) 6

D) 7

34 / 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) 10

B) 12

C) 6

D) 8

35 / 40

Hisoblang:

A) 10/11

B) 9/10

C) 20/21

D) 19/20

36 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 30

D) 28

37 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 35

C) 23

D) 14

38 / 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) DC < AD

D) BC > AD

39 / 40

Tenglamani yeching: