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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) 4

B) aniqlab bo‘lmaydi

C) 3

D) 2

2 / 40

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

A) 6

B) 0

C) 7

D) 5

3 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 3

B) 1

C) 2

D) 4

4 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) 1

C) √2

D) 2

5 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.

A) 2

B) 6

C) 4

D) 0

6 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 1

B) 2

C) 3

D) 4

7 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 1

B) 3

C) 2

D) 4

8 / 40

Soddalashtiring.

A) (a-1)/(1-b)

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

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

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

9 / 40

Standart shaklda yozing 0,000000000000013

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

A) 1

B) 4

C) 3

D) 2

10 / 40

Integralni hisoblang:

A) 4

B) 3

C) 1

D) 2

11 / 40

Tenglamani yeching:

A) 5/9

B) 9/5

C) 6/5

D) 5*4

12 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) x∈R

C) [-3;2]

D) (-∞;3]∪[2;∞)

13 / 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) 1

B) 2

C) 4

D) 3

14 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) berilganlar yetarli emas

C) 11

D) 121

15 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 3

C) 2

D) 1

16 / 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) -4

D) 5

17 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 30°

D) 40°

18 / 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°

19 / 40

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

A) 4

B) 3

C) 1

D) 2

20 / 40

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

A) 5

B) 10

C) 11

D) 7

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 2

C) 3

D) 4

22 / 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) 3√2

B) 6

C) 4√3

D) 4√2

23 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 10

D) 12

24 / 40

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

A) 10

B) 8

C) 15

D) 20

25 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 116

C) 110

D) 112

26 / 40

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

A) 5

B) 3

C) 8

D) -2

27 / 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

28 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,04

D) 0,0(4)

29 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 28

D) 24

30 / 40

Hisoblang:

A) -1/2

B) 1/32

C) 0

D) -√3/2

31 / 40

Tenglamani yeching:

A) 5

B) -6

C) -6; 5

D) 6; -5

32 / 40

Hisoblang:

A) sin10°

B) cos10°

C) cos50°

D) 1

33 / 40

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

A) 6

B) 8

C) 7

D) 5

34 / 40

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

A) 23

B) 24

C) 35

D) 14

35 / 40

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

A) 3 yoki –8

B) 4 yoki –12

C) 6

D) 5 yoki –15

36 / 40

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

A) 64

B) 32

C) 8(π+2)

D) 16(π-2)

37 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

38 / 40

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

A) 14

B) 12

C) 15

D) 13

39 / 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) 8

D) 6

40 / 40

√3

A) 21/10

B) 3/2

C) 7/3

D) 5/5