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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 8

B) 24

C) 32

D) 16

2 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 16

B) 25

C) 9

D) 4

3 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 24

B) 21

C) 28

D) 32

4 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.

A) 4

B) 2

C) 0

D) 6

5 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √2

B) 2

C) 1

D) √3

6 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 3

B) 4

C) 2

D) 1

7 / 40

x ni toping ?

A) 5

B) 4

C) 3

D) 6

8 / 40

Soddalashtiring.

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

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

C) (a-1)/(1-b)

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

9 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) )a,b,d

B) a,b

C) b

D) b,d

10 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √3/8

C) 1/8

D) √2/8

11 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+4)/4

C) (m+1)/2

D) (4-m)/4

12 / 40

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

A) 30

B) 25

C) 10

D) 0

13 / 40

sonlarini taqqolsang.

A) c

B) c

C) a

D) b

14 / 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

15 / 40

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

A) 10

B) 8

C) 15

D) 20

16 / 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) 105

C) 96

D) 25

17 / 40

bo‘lsa,

A) 2

B) 3/2

C) 2/3

D) 1

18 / 40

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

A) 8

B) -2

C) 3

D) 5

19 / 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) 5

B) -6

C) -4

D) -3

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 1

C) 3

D) 4

22 / 40

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

A) 43

B) 42

C) 44

D) 45

23 / 40

Hisoblang:

A) 1/32

B) 0

C) -1/2

D) -√3/2

24 / 40

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

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

25 / 40

Hisoblang:

A) sin10°

B) 1

C) cos50°

D) cos10°

26 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 28

D) 24

27 / 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

28 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 20°

C) 50°

D) 40°

29 / 40

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

A) 5

B) 7

C) 11

D) 10

30 / 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) 14

C) 35

D) 24

31 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 9/10

D) 19/20

32 / 40

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

A) 6√7

B) 8

C) 4√7

D) 10

33 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√3

C) 3√2

D) 2√2

34 / 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) 32

C) 64

D) 42

35 / 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) BC > AD

D) BD = BC

36 / 40

Ifodaning qiymatini toping.