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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 24

B) 18

C) 12

D) 30

2 / 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) 1

B) 3

C) 2

D) 4

3 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) -13cosx- cos13 x +C

B) 13cosx-cos13x + C

C) 13sinx+sin13x + C

D) 13sinx-sin13x + C

4 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-2; ∞)

B) [-1; ∞)

C) (0; ∞)

D) (-1; ∞)

5 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 5

B) 1

C) 12

D) 7

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 6

C) 9

D) 7

7 / 40

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

A) 1

B) 2

C) 3

D) 4

8 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √2/8

C) √3/8

D) 1/8

9 / 40

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

A) 4800

B) 600

C) 3600

D) 5050

10 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 2

B) 1

C) 5

D) 4

11 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 30

C) 24

D) 32

12 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 10

C) 11

D) 12

13 / 40

√3

A) 3/2

B) 7/3

C) 21/10

D) 5/5

14 / 40

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

A) 6

B) 8

C) 7

D) 5

15 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,(04)

C) 0,04

D) 0,0(2)

16 / 40

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

A) 10

B) 11

C) 7

D) 5

17 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 3√2

C) 2√2

D) 2√3

18 / 40

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

A) -π/4+πk, k∈Z

B) π/4+πk, k∈Z

C) 0

D) Ø

19 / 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) 6

D) 3 yoki –8

20 / 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) 14

C) 35

D) 23

21 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 4

C) 2

D) 1

22 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 5

C) 11

D) 6

23 / 40

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

A) 2√3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 4 √3tg50° tg70°

24 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 30°

D) 20°

25 / 40

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

A) 5

B) -2

C) 8

D) 3

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) 6√7

B) 8

C) 10

D) 4√7

27 / 40

bo‘lsa,

A) 3/2

B) 2/3

C) 1

D) 2

28 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

29 / 40

Hisoblang:

A) sin10°

B) cos50°

C) 1

D) cos10°

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) 12

D) 10

31 / 40

Hisoblang:

A) 0

B) -√3/2

C) -1/2

D) 1/32

32 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

33 / 40

Hisoblang:

A) 19/20

B) 20/21

C) 10/11

D) 9/10

34 / 40

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

A) 42

B) 44

C) 43

D) 45

35 / 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) AB = BC

C) BC > AD

D) BD = BC

36 / 40

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

A) 32

B) 64

C) 16(π-2)

D) 8(π+2)

37 / 40

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

A) 20

B) 8

C) 15

D) 10

38 / 40

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

A) 3

B) 1

C) 4

D) 2

39 / 40

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

A) 12

B) 14

C) 13

D) 15

40 / 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) 3

B) 4

C) 2

D) 1

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