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Matematika attestatsiya №5

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Yanvar 24, 2022

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Matematika fanidan attestatsiya savollari №5

1 / 40

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

A) 3

B) 2

C) 1

D) 4

2 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) 1/2

B) 3/18

C) 5/3

D) -452/18

3 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) a>c>b

C) c>a>b

D) a>b>c

4 / 40

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

A) 27

B) 48

C) 32

D) 26

5 / 40

tenglamani yeching.

A) 5

B) 3

C) log(3/5)2

D) log(5/3)2

6 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) 5

B) 2√5

C) √5

D) √5+5

7 / 40

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

A) 1

B) 12

C) 5

D) 7

8 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 7

C) 9

D) 8

9 / 40

Soddalashtiring.

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

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

C) (a-1)/(1-b)

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

10 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 6

C) 4

D) 2

11 / 40

Agar bo‘lsa, m/n ni toping.

A) 2

B) 4

C) (1+√5)/2

D) 3

12 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) (m+4)/4

C) 2/m

D) (m+1)/2

13 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

14 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

15 / 40

Hisoblang:

A) -√3/2

B) 1/32

C) 0

D) -1/2

16 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 10

D) 12

17 / 40

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

A) 45

B) 42

C) 43

D) 44

18 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,04

C) 0,0(4)

D) 0,(04)

19 / 40

√3

A) 21/10

B) 3/2

C) 7/3

D) 5/5

20 / 40

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

A) 16(π-2)

B) 8(π+2)

C) 64

D) 32

21 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

22 / 40

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

A) 1

B) cd/b

C) bd/c

D) bc/d

23 / 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) 6

D) 4√3

24 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 121

C) 22

D) 11

25 / 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) 8

C) 6

D) 10

26 / 40

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

A) 3

B) 2

C) 1

D) 4

27 / 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

28 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

29 / 40

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

A) 13

B) 14

C) 15

D) 12

30 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 28

C) 32

D) 30

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) 5 yoki –15

C) 4 yoki –12

D) 3 yoki –8

32 / 40

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

A) 7

B) 8

C) 5

D) 6

33 / 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) 32

D) 64

34 / 40

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

A) 8

B) 10

C) 20

D) 15

35 / 40

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

A) √3tg50° tg70°

B) √3ctg40° tg70°

C) 2√3tg50° tg70°

D) 4 √3tg50° tg70°

36 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 50°

D) 40°

37 / 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) 10

C) 6√7

D) 8

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

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) 96

B) 100

C) 105

D) 25

40 / 40

Sonlarining o‘rta geometrik qiymatini toping.