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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 45,0608

B) 40560,8

C) 4506,08

D) 450,608

2 / 40

1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 4/3

B) 3

C) 6

D) 9

3 / 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) 2√14+√6

C) 18

D) √6+√14

4 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 2

B) 3

C) 4

D) 1

5 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 11

B) 13

C) 14

D) 12

6 / 40

x ni toping ?

A) 3

B) 5

C) 4

D) 6

7 / 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) dastlab kamayadi, keyin o‘sadi

B) dastlab o‘sadi, keyin kamayadi

C) qat’iy kamayuvchi

D) qat’iy o‘suvchi

8 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) 2/m

C) (m+1)/2

D) (m+4)/4

9 / 40

Hisoblang:

A) 0

B) 6

C) 8

D) 4

10 / 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) 17°

B) 24°

C) 7°

D) 14°

11 / 40

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

A) 13

B) 12

C) 14

D) 15

12 / 40

bo‘lsa,

A) 2/3

B) 3/2

C) 1

D) 2

13 / 40

sonlarini taqqolsang.

A) c

B) c

C) b

D) a

14 / 40

Hisoblang:

A) 20/21

B) 19/20

C) 9/10

D) 10/11

15 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 50°

C) 20°

D) 30°

16 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 22

D) 121

17 / 40

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

A) bc/d

B) cd/b

C) 1

D) bd/c

18 / 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) DC < AD

B) BD = BC

C) AB = BC

D) BC > AD

19 / 40

√3

A) 21/10

B) 5/5

C) 3/2

D) 7/3

20 / 40

Hisoblang:

A) -1/2

B) 0

C) 1/32

D) -√3/2

21 / 40

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

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

22 / 40

Hisoblang:

A) sin10°

B) 1

C) cos50°

D) cos10°

23 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√2

C) 4√3

D) 2√3

24 / 40

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

A) √3tg50° tg70°

B) √3ctg40° tg70°

C) 4 √3tg50° tg70°

D) 2√3tg50° tg70°

25 / 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

26 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

27 / 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√2

B) 6

C) 4√3

D) 3√2

28 / 40

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

A) 3

B) 4

C) 2

D) 1

29 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 4

D) 3

30 / 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) 96

C) 105

D) 25

31 / 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) 5 yoki –15

C) 4 yoki –12

D) 6

32 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

33 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 9

C) 12

D) 11

34 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 4

D) 1

35 / 40

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

A) 10

B) 5

C) 7

D) 11

36 / 40

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

A) 44

B) 43

C) 45

D) 42

37 / 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

38 / 40

Tengsizlik nechta butun juft yechimga
ega?