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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

tengsizlikni yeching.

A) x∈(-3;1)

B) x∈(-5;1)

C) x∈(-∞;5)

D) x∈(-∞;5)∪(-3;1)

2 / 40

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

A) aniqlab bo‘lmaydi

B) 4

C) 3

D) 2

3 / 40

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

A) 108

B) 114

C) 126

D) 96

4 / 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) 0

B) 6

C) 4

D) 2

5 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 6

C) 9

D) 7

6 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 130°

B) 120°

C) 100°

D) 110°

7 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) -4

B) 4

C) -√17

D) √17

8 / 40

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

A) 138°

B) 135°

C) 142°

D) 132°

9 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √3/8

C) √2/8

D) 1/8

10 / 40

tenglama intervalda nechta ildizga ega?

A) 2

B) 1

C) 3

D) 4

11 / 40

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

A) 2

B) 3

C) 4

D) 1

12 / 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) 5

C) -3

D) -4

13 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,04

D) 0,0(4)

14 / 40

Hisoblang:

A) 9/10

B) 20/21

C) 19/20

D) 10/11

15 / 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) 4

C) 2

D) 3

16 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 2√3

C) 4√3

D) 3√2

17 / 40

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

A) 32

B) 64

C) 48

D) 42

18 / 40

√3

A) 7/3

B) 3/2

C) 21/10

D) 5/5

19 / 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√3

B) 3√2

C) 4√2

D) 6

20 / 40

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

A) 15

B) 8

C) 20

D) 10

21 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 11

C) berilganlar yetarli emas

D) 22

22 / 40

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

A) 7

B) 5

C) 11

D) 10

23 / 40

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

A) 5

B) 7

C) 8

D) 6

24 / 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) 3 yoki –8

D) 4 yoki –12

25 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 2

C) 3

D) 4

26 / 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) 6

B) 12

C) 8

D) 10

27 / 40

Hisoblang:

A) 1/32

B) 0

C) -√3/2

D) -1/2

28 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 116

D) 112

29 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

30 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 24

C) 28

D) 30

31 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

32 / 40

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

A) 14

B) 12

C) 15

D) 13

33 / 40

Hisoblang:

A) sin10°

B) cos50°

C) cos10°

D) 1

34 / 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) 8

C) 6√7

D) 10

35 / 40

bo‘lsa,

A) 2

B) 2/3

C) 3/2

D) 1

36 / 40

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

A) 42

B) 43

C) 45

D) 44

37 / 40

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

A) 14

B) 35

C) 24

D) 23

38 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 30°

D) 40°

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) 25

C) 100

D) 105

40 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.