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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

32 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 40560,8

B) 450,608

C) 45,0608

D) 4506,08

2 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 12

C) 11

D) 35

3 / 40

Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 18

B) 20

C) 16

D) aniqlab bo‘lmaydi

4 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 9,25

C) 5,75

D) 13

5 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) 5

C) 2√5

D) √5+5

6 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 2√14+√6

B) √6+√14

C) 16

D) 18

7 / 40

Soddalashtiring.

A) (a+1)/(-a-3)

B) (a-1)/(1-b)

C) (b+2)/(1-b)

D) (a-1)/(a-3)

8 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 12

B) 14

C) 11

D) 13

9 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 8

C) 9

D) 7

10 / 40

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

A) 132°

B) 135°

C) 142°

D) 138°

11 / 40

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

A) 1

B) 4

C) 2

D) 3

12 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 3R

B) √3R(2-√3)

C) 1,5R

D) R(√3-√2)

13 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 3

C) 1

D) 2

14 / 40

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

A) 13

B) 14

C) 15

D) 12

15 / 40

Hisoblang:

A) 0

B) -1/2

C) 1/32

D) -√3/2

16 / 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

17 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 30

D) 24

18 / 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) -4

B) 5

C) -3

D) -6

19 / 40

Tenglamani yeching:

A) 6; -5

B) -6

C) -6; 5

D) 5

20 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 10

C) 9

D) 12

21 / 40

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

A) 8

B) 20

C) 10

D) 15

22 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

23 / 40

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

A) √3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

24 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) bc/d

B) bd/c

C) 1

D) cd/b

25 / 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) BC > AD

B) BD = BC

C) AB = BC

D) DC < AD

26 / 40

bo‘lsa,

A) 1

B) 2

C) 2/3

D) 3/2

27 / 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) 6

C) 3 yoki –8

D) 5 yoki –15

28 / 40

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

A) 43

B) 45

C) 44

D) 42

29 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

30 / 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) 3√2

C) 4√3

D) 6

31 / 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) 48

C) 64

D) 32

32 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 115

D) 112

33 / 40

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

A) 3

B) 4

C) 1

D) 2

34 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 40°

D) 30°

35 / 40

√3

A) 21/10

B) 5/5

C) 7/3

D) 3/2

36 / 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) 12

B) 6

C) 8

D) 10

37 / 40

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