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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 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) 2

B) 3

C) 4

D) 1

2 / 40

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 8

B) 16

C) 24

D) 32

3 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 3

B) 7,5

C) 4,5

D) 4

4 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 1

B) 4

C) 3

D) 2

5 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 101

B) 98

C) 99

D) 100

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 7

C) 6

D) 9

7 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 5

C) 0

D) 1

8 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 36/65

B) 40/63

C) 56/65

D) 48/65

9 / 40

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

A) √17

B) 4

C) -4

D) -√17

10 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 2

B) 5

C) 6

D) 4

11 / 40

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

A) 2

B) 1

C) 4

D) 3

12 / 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) 6

C) 4√3

D) 3√2

13 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 6; -5

D) 5

14 / 40

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

A) 8(π+2)

B) 16(π-2)

C) 64

D) 32

15 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 1

C) 4

D) 3

16 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 30

D) 28

17 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 10

D) 12

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 4

C) 2

D) 1

19 / 40

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

A) -2

B) 5

C) 8

D) 3

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 110

D) 116

21 / 40

Hisoblang:

A) -√3/2

B) 0

C) -1/2

D) 1/32

22 / 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) 2

C) 3

D) 1

23 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

24 / 40

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

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

25 / 40

sonlarini taqqolsang.

A) a

B) c

C) b

D) c

26 / 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

27 / 40

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

A) 7

B) 11

C) 5

D) 10

28 / 40

Hisoblang:

A) cos50°

B) 1

C) sin10°

D) cos10°

29 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 9/10

D) 20/21

30 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

31 / 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) 14

D) 35

32 / 40

√3

A) 3/2

B) 7/3

C) 5/5

D) 21/10

33 / 40

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

A) 8

B) 10

C) 15

D) 20

34 / 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

35 / 40

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

A) 42

B) 44

C) 45

D) 43

36 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 5

D) 6

37 / 40

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

A) 5

B) 7

C) 8

D) 6

38 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√2

D) 2√3

39 / 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) 5

B) -4

C) -3

D) -6

40 / 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) 4 yoki –12

C) 3 yoki –8

D) 6

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