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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 1

B) 2

C) 4

D) 3

2 / 40

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

A) 4

B) 11

C) 12

D) 35

3 / 40

Hisoblang:

A) 7

B) 27

C) 4

D) 9

4 / 40

tenglamani yeching.

A) log(5/3)2

B) log(3/5)2

C) 5

D) 3

5 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUK 3-EKUK

B) 1-EKUB 2-EKUK 3-EKUB

C) 1-EKUB 2-EKUB 3-EKUK

D) 1-EKUB 2-EKUB 3-EKUB

6 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 1

B) 2

C) 4

D) 3

7 / 40

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

A) 0,288

B) 0,144

C) 0,216

D) 0,432

8 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 25

B) 30

C) 10

D) 0

9 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 40

B) 35

C) 25

D) 20

10 / 40

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

A) 9

B) 1

C) 0

D) 5

11 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

12 / 40

√3

A) 21/10

B) 5/5

C) 7/3

D) 3/2

13 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) 121

D) berilganlar yetarli emas

14 / 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) AB = BC

D) BC > AD

15 / 40

Hisoblang:

A) -√3/2

B) 0

C) 1/32

D) -1/2

16 / 40

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

A) 5

B) 7

C) 11

D) 10

17 / 40

Hisoblang:

A) sin10°

B) 1

C) cos50°

D) cos10°

18 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 11

D) 4

19 / 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) 6

B) 8

C) 12

D) 10

20 / 40

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

A) 8(π+2)

B) 32

C) 64

D) 16(π-2)

21 / 40

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

A) 42

B) 43

C) 44

D) 45

22 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 10

D) 11

23 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

24 / 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) 105

B) 100

C) 25

D) 96

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) 3√2

B) 4√3

C) 4√2

D) 6

26 / 40

Tenglamani yeching:

A) 5

B) 6; -5

C) -6; 5

D) -6

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) -3

B) -6

C) -4

D) 5

28 / 40

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

A) 20

B) 10

C) 8

D) 15

29 / 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) 1

D) 2

30 / 40

sonlarini taqqolsang.

A) a

B) c

C) b

D) c

31 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

32 / 40

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

A) 5

B) 8

C) 6

D) 7

33 / 40

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

A) 12

B) 13

C) 15

D) 14

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 3

D) 4

35 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 40°

D) 50°

36 / 40

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

A) 5

B) 8

C) 3

D) -2

37 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 10

D) 12

38 / 40

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

A) 4 √3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

39 / 40

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

A) 35

B) 14

C) 23

D) 24

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) 4 yoki –12

B) 5 yoki –15

C) 6

D) 3 yoki –8

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