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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

tengsizlikni yeching.

A) x∈(-∞;5)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-3;1)

D) x∈(-5;1)

2 / 40

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

A) 3

B) 4

C) 2

D) 1

3 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 50

B) 44

C) 46

D) 40

4 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 16

B) √6+√14

C) 18

D) 2√14+√6

5 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 20 km

B) 200 km

C) 0,2km

D) 2 km

6 / 40

Quyidakilardan qaysi biri juft:

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

A) 2

B) 1

C) 4

D) 3

7 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 4

C) 5

D) 2

8 / 40

Yig‘indini toping.

A) 1/4

B) 1/6

C) 1/9

D) 1/12

9 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 1

C) 2

D) 4

10 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy o‘suvchi

B) dastlab kamayadi, keyin o‘sadi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy kamayuvchi

11 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 24

C) 30

D) 32

12 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,(04)

C) 0,0(4)

D) 0,0(2)

13 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 8

B) 6√7

C) 4√7

D) 10

14 / 40

Hisoblang:

A) 1/32

B) -1/2

C) -√3/2

D) 0

15 / 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) 96

C) 100

D) 105

16 / 40

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

A) 6

B) 8

C) 5

D) 7

17 / 40

Hisoblang:

A) 10/11

B) 9/10

C) 19/20

D) 20/21

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 2

C) 3

D) 1

19 / 40

Hisoblang:

A) sin10°

B) cos10°

C) 1

D) cos50°

20 / 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) -4

B) -6

C) 5

D) -3

21 / 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) 3 yoki –8

C) 6

D) 5 yoki –15

22 / 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) AB = BC

C) DC < AD

D) BC > AD

23 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

24 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

25 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 10

D) 12

26 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 11

D) 121

27 / 40

bo‘lsa,

A) 3/2

B) 1

C) 2/3

D) 2

28 / 40

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

A) 42

B) 45

C) 43

D) 44

29 / 40

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

A) 48

B) 64

C) 42

D) 32

30 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 10

D) 12

31 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 3

D) 2

32 / 40

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

A) 13

B) 12

C) 14

D) 15

33 / 40

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

A) 10

B) 15

C) 20

D) 8

34 / 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) 10

D) 12

35 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 20°

D) 50°

36 / 40

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

A) -2

B) 8

C) 3

D) 5

37 / 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) bd/c

C) cd/b

D) bc/d

38 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 6

C) 5

D) 4

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) 4√3

B) 4√2

C) 6

D) 3√2

40 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) 5

D) -6

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