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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Agar ni hisoblang.

A) 0

B) Cheksiz

C) 8

D) 9

2 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 0

B) 2

C) 1

D) 3

3 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y-2=0

B) 3x-2y+2=0

C) 3x+2y-2=0

D) 3x+2y+2=0

4 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) x=-a

B) x=a

C) y=1-a

D) y=-a

5 / 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) 2

C) 3

D) 4

6 / 40

Hisoblang?

A) 0,25

B) 4

C) 2

D) 0,5

7 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 192π

B) 72π

C) 144π

D) 96π

8 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,4

B) √6

C) 2,5

D) √5

9 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 3600

B) 5050

C) 600

D) 4800

10 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,216

B) 0,432

C) 0,144

D) 0,288

11 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 2

C) 1

D) 3

12 / 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) BD = BC

B) DC < AD

C) BC > AD

D) AB = BC

13 / 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) 3√2

D) 4√3

14 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) π/4+πk, k∈Z

B) 0

C) -π/4+πk, k∈Z

D) Ø

15 / 40

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

A) 45

B) 42

C) 43

D) 44

16 / 40

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

A) √3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

17 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,0(4)

D) 0,04

18 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 6; -5

D) 5

19 / 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

20 / 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) 6

C) 4 yoki –12

D) 5 yoki –15

21 / 40

sonlarini taqqolsang.

A) c

B) b

C) a

D) c

22 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

23 / 40

bo‘lsa,

A) 2/3

B) 2

C) 1

D) 3/2

24 / 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) bc/d

C) cd/b

D) 1

25 / 40

Hisoblang:

A) sin10°

B) cos50°

C) 1

D) cos10°

26 / 40

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

A) 5

B) 7

C) 11

D) 10

27 / 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

28 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

29 / 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) 35

C) 14

D) 23

30 / 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) 8

B) 6

C) 10

D) 12

31 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 24

C) 28

D) 32

32 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 50°

D) 20°

33 / 40

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

A) -2

B) 5

C) 3

D) 8

34 / 40

√3

A) 5/5

B) 7/3

C) 3/2

D) 21/10

35 / 40

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

A) 64

B) 32

C) 48

D) 42

36 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√3

C) 3√2

D) 2√2

37 / 40

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

A) 16(π-2)

B) 64

C) 8(π+2)

D) 32

38 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 10

C) 11

D) 9

39 / 40

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

A) 15

B) 13

C) 12

D) 14

40 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 1

D) 3

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