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Matematika attestatsiya №5

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Yanvar 24, 2022

40 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*cos5x

B) -16cos3x*sin5x

C) 16cos3x*cos5x

D) 16sin3x*sin5x

2 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 7

B) 6

C) 5

D) 0

3 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 12

B) 35

C) 11

D) 4

4 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 7

B) 9

C) 1

D) 3

5 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 1/3

C) 1/4

D) 4

6 / 40

tenglamani yeching.

A) log(5/3)2

B) log(3/5)2

C) 5

D) 3

7 / 40

Hisoblang?

A) 0,5

B) 2

C) 4

D) 0,25

8 / 40

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

A) 130°

B) 100°

C) 110°

D) 120°

9 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 2

B) 1

C) 4

D) 3

10 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) (4-m)/4

C) (m+4)/4

D) 2/m

11 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 14°

B) 17°

C) 7°

D) 24°

12 / 40

ni hisoblang.

A) 0

B) 2

C) 1

D) 3

13 / 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) 4 yoki –12

C) 6

D) 5 yoki –15

14 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 24

D) 28

15 / 40

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

A) 2√3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

16 / 40

sonlarini taqqolsang.

A) a

B) c

C) c

D) b

17 / 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) 4√7

D) 10

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

19 / 40

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

A) 8(π+2)

B) 64

C) 32

D) 16(π-2)

20 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 4

C) 3

D) 2

21 / 40

√3

A) 21/10

B) 5/5

C) 3/2

D) 7/3

22 / 40

bo‘lsa,

A) 1

B) 3/2

C) 2

D) 2/3

23 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 50°

D) 20°

24 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 116

D) 112

25 / 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) 6

B) 4√3

C) 4√2

D) 3√2

26 / 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

27 / 40

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

A) 5

B) 10

C) 7

D) 11

28 / 40

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

A) 44

B) 45

C) 43

D) 42

29 / 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) 25

B) 100

C) 96

D) 105

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) 12

B) 6

C) 10

D) 8

31 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 9/10

D) 20/21

32 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

33 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 6

C) 5

D) 11

34 / 40

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

A) 1

B) 4

C) 3

D) 2

35 / 40

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

A) Ø

B) -π/4+πk, k∈Z

C) π/4+πk, k∈Z

D) 0

36 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

37 / 40

Hisoblang:

A) 1

B) cos10°

C) sin10°

D) cos50°

38 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

39 / 40

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

A) 6

B) 8

C) 5

D) 7

40 / 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) BC > AD

C) DC < AD

D) AB = BC