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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

ni hisoblang.

A) (e+1)/2

B) e+1

C) (e-1)/2

D) e-1

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) 2

B) 1

C) 3

D) 4

3 / 40

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

A) 13sinx-sin13x + C

B) 13cosx-cos13x + C

C) 13sinx+sin13x + C

D) -13cosx- cos13 x +C

4 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 31/85

B) 11/5

C) 67/15

D) 68/15

5 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 3

C) 4

D) 2

6 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 98

C) 101

D) 100

7 / 40

Yig‘indini toping.

A) 1/12

B) 1/9

C) 1/4

D) 1/6

8 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 40

C) 52

D) 48

9 / 40

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

A) 0,144

B) 0,432

C) 0,288

D) 0,216

10 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 3

B) 2

C) 4

D) 1

11 / 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

12 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 20

C) 14

D) 12

13 / 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) 100

B) 25

C) 96

D) 105

14 / 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) 10

C) 8

D) 6

15 / 40

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

A) 13

B) 15

C) 12

D) 14

16 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 22

C) berilganlar yetarli emas

D) 121

17 / 40

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

A) 42

B) 64

C) 32

D) 48

18 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 4

C) 2

D) 1

19 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 115

D) 112

20 / 40

Hisoblang:

A) 0

B) 1/32

C) -1/2

D) -√3/2

21 / 40

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

A) 6

B) 5

C) 7

D) 8

22 / 40

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

A) 16(π-2)

B) 64

C) 8(π+2)

D) 32

23 / 40

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

A) 43

B) 42

C) 45

D) 44

24 / 40

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

A) 5

B) 11

C) 7

D) 10

25 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 11

C) 4

D) 5

26 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 24

C) 28

D) 32

27 / 40

√3

A) 21/10

B) 3/2

C) 7/3

D) 5/5

28 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

29 / 40

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

A) 23

B) 24

C) 35

D) 14

30 / 40

Tenglamani yeching:

A) 5

B) -6

C) -6; 5

D) 6; -5

31 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

32 / 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) cd/b

C) 1

D) bc/d

33 / 40

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

A) 1

B) 2

C) 4

D) 3

34 / 40

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

A) 8

B) 5

C) -2

D) 3

35 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 11

D) 10

36 / 40

bo‘lsa,

A) 2/3

B) 2

C) 3/2

D) 1

37 / 40

sonlarini taqqolsang.

A) b

B) c

C) c

D) a

38 / 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) AB = BC

B) DC < AD

C) BD = BC

D) BC > AD

39 / 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√2

C) 3√2

D) 4√3

40 / 40

Chizmadan foydalanib α ni toping.