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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

Agar ni hisoblang.

A) Cheksiz

B) 8

C) 0

D) 9

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

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

A) 2

B) 1

C) 0

D) 3

4 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 5,75

C) 9,25

D) 13

5 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 98

C) 99

D) 101

6 / 40

Soddalashtiring.

A) (a-1)/(1-b)

B) (a+1)/(-a-3)

C) (b+2)/(1-b)

D) (a-1)/(a-3)

7 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) [-3;2]

C) (-∞;3]∪[2;∞)

D) (-∞;0)∪(0;∞)

8 / 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) 25

B) 40

C) 20

D) 35

9 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 142°

B) 138°

C) 132°

D) 135°

10 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 9√5

B) 8√3

C) 6√5

D) 12√3

11 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,04

D) 0,0(4)

12 / 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) 1

B) 3

C) 2

D) 4

13 / 40

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

A) 1

B) cd/b

C) bc/d

D) bd/c

14 / 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

15 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 11

D) 121

16 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 14

D) 20

17 / 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) 96

B) 100

C) 105

D) 25

18 / 40

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

A) 32

B) 8(π+2)

C) 16(π-2)

D) 64

19 / 40

bo‘lsa,

A) 2

B) 3/2

C) 1

D) 2/3

20 / 40

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

A) 12

B) 13

C) 14

D) 15

21 / 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) 42

D) 48

22 / 40

√3

A) 3/2

B) 7/3

C) 21/10

D) 5/5

23 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

24 / 40

Hisoblang:

A) cos10°

B) 1

C) cos50°

D) sin10°

25 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 1

D) 4

26 / 40

sonlarini taqqolsang.

A) c

B) b

C) a

D) c

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) 5

D) -4

28 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 4

D) 1

29 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) -6

D) 5

30 / 40

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

A) 1

B) 4

C) 3

D) 2

31 / 40

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

A) 8

B) 6

C) 7

D) 5

32 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 28

D) 32

33 / 40

Hisoblang:

A) 1/32

B) -1/2

C) 0

D) -√3/2

34 / 40

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

A) 2√3tg50° tg70°

B) √3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3ctg40° tg70°

35 / 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) 8

D) 6√7

36 / 40

Hisoblang:

A) 9/10

B) 20/21

C) 10/11

D) 19/20

37 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 112

C) 110

D) 115

38 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 3√2

D) 4√3

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) BD = BC

B) DC < AD

C) BC > AD

D) AB = BC

40 / 40

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