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Matematika attestatsiya №5

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Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) 3

B) 4

C) 2

D) aniqlab bo‘lmaydi

2 / 40

Berilgan sonlarning yig’indisini toping.

A) 3/18

B) -452/18

C) 1/4

D) 2/4

3 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 0

B) 7

C) 5

D) 6

4 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;2]∪{1}

C) [-3;-2]

D) (-∞;-2]

5 / 40

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

A) 0

B) 1

C) 3

D) 2

6 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) √5+5

C) 5

D) 2√5

7 / 40

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

A) 12

B) 5

C) 1

D) 7

8 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUK

B) 1-EKUB 2-EKUB 3-EKUB

C) 1-EKUB 2-EKUK 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUB

9 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) b

B) a,b

C) b,d

D) )a,b,d

10 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 32

C) 25

D) 41

11 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 100

B) 80

C) 90

D) 120

12 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 6

B) 9

C) 8

D) 10

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

14 / 40

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

A) 2√3tg50° tg70°

B) √3ctg40° tg70°

C) 4 √3tg50° tg70°

D) √3tg50° tg70°

15 / 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) 6√7

C) 10

D) 8

16 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 30

C) 24

D) 28

17 / 40

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

A) 48

B) 64

C) 42

D) 32

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

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) 3 yoki –8

C) 6

D) 4 yoki –12

20 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 20°

C) 40°

D) 50°

21 / 40

√3

A) 3/2

B) 5/5

C) 7/3

D) 21/10

22 / 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

23 / 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) 1

C) 2

D) 3

24 / 40

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

A) 45

B) 42

C) 43

D) 44

25 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

26 / 40

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

A) 8(π+2)

B) 32

C) 16(π-2)

D) 64

27 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 2

D) 4

28 / 40

Hisoblang:

A) cos50°

B) cos10°

C) sin10°

D) 1

29 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) -6; 5

D) 5

30 / 40

Hisoblang:

A) 1/32

B) -1/2

C) 0

D) -√3/2

31 / 40

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

A) 13

B) 12

C) 15

D) 14

32 / 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) 23

C) 35

D) 14

33 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

34 / 40

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

A) bd/c

B) cd/b

C) bc/d

D) 1

35 / 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) AB = BC

B) DC < AD

C) BD = BC

D) BC > AD

36 / 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) -3

B) 5

C) -4

D) -6

37 / 40

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

A) 11

B) 10

C) 5

D) 7

38 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 116

C) 115

D) 110

39 / 40

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

A) 5

B) -2

C) 8

D) 3

40 / 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) 105

B) 25

C) 100

D) 96