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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

ni hisoblang.

A) (e+1)/2

B) e+1

C) (e-1)/2

D) e-1

2 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n = 0, k < 0

B) n = 0, k > 0

C) n > 0, k = 0

D) n < 0, k = 0

3 / 40

funksiyaning qiymatlar to'plamini toping.

A) (-2√2;√2)

B) [-√2;√2]

C) [-√2;0)∪(0;√2]

D) [-√2;-1)∪(-1;1)∪(1;√2]

4 / 40

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

A) 0

B) 2

C) 1

D) 3

5 / 40

Hisoblang?

A) 2

B) 0,5

C) 4

D) 0,25

6 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 32

B) 36

C) 40

D) 34

7 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) (1+√5)/2

C) 4

D) 2

8 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 3

B) 1

C) 4

D) 2

9 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 52

C) 40

D) 48

10 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √2/8

C) √3/8

D) 1/8

11 / 40

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

A) cd/b

B) 1

C) bd/c

D) bc/d

12 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 12

D) 14

13 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 10

B) 4√7

C) 6√7

D) 8

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

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 9

C) 11

D) 12

16 / 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

17 / 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) 2

B) 4

C) 1

D) 3

18 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 11

C) 5

D) 6

19 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

20 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 2√3

C) 4√3

D) 3√2

21 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 112

D) 115

22 / 40

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

A) 13

B) 12

C) 15

D) 14

23 / 40

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

A) 6

B) 5

C) 8

D) 7

24 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 121

C) berilganlar yetarli emas

D) 22

25 / 40

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

A) 5

B) 7

C) 11

D) 10

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) 10

B) 12

C) 6

D) 8

27 / 40

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

A) √3ctg40° tg70°

B) √3tg50° tg70°

C) 2√3tg50° tg70°

D) 4 √3tg50° tg70°

28 / 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

29 / 40

Hisoblang:

A) 0

B) -1/2

C) -√3/2

D) 1/32

30 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 40°

C) 50°

D) 20°

31 / 40

Hisoblang:

A) 20/21

B) 19/20

C) 10/11

D) 9/10

32 / 40

√3

A) 21/10

B) 5/5

C) 3/2

D) 7/3

33 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

34 / 40

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

A) 8

B) 5

C) -2

D) 3

35 / 40

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

A) 15

B) 20

C) 10

D) 8

36 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

37 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) -6; 5

D) 5

38 / 40

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

A) 3

B) 1

C) 2

D) 4

39 / 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) DC < AD

B) BC > AD

C) AB = BC

D) BD = BC

40 / 40

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