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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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Matematika fanidan attestatsiya savollari №5

1 / 40

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 2

B) 2,5

C) 3

D) 4

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 2

B) 3

C) 4

D) 1

3 / 40

Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 18

B) 16

C) 20

D) aniqlab bo‘lmaydi

4 / 40

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

A) √3

B) 2

C) 1

D) √2

5 / 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) 44

B) 50

C) 46

D) 40

6 / 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) 13

D) 9,25

7 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 4

B) 3

C) 6

D) 5

8 / 40

Soddalshtiring.

A) 6

B) 1

C) -1

D) 2

9 / 40

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

A) 200 km

B) 0,2km

C) 20 km

D) 2 km

10 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 4

C) 1

D) 2

11 / 40

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

A) 132°

B) 135°

C) 142°

D) 138°

12 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 4800

B) 3600

C) 5050

D) 600

13 / 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) 6

C) 5 yoki –15

D) 3 yoki –8

14 / 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

15 / 40

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

A) 11

B) 10

C) 5

D) 7

16 / 40

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

A) 3

B) -2

C) 5

D) 8

17 / 40

Hisoblang:

A) -1/2

B) 0

C) 1/32

D) -√3/2

18 / 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) 42

C) 48

D) 32

19 / 40

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

A) 8(π+2)

B) 64

C) 32

D) 16(π-2)

20 / 40

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

A) 3

B) 4

C) 2

D) 1

21 / 40

Hisoblang:

A) 1

B) sin10°

C) cos50°

D) cos10°

22 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 30

C) 28

D) 24

23 / 40

Hisoblang:

A) 9/10

B) 10/11

C) 20/21

D) 19/20

24 / 40

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

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3ctg40° tg70°

25 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) berilganlar yetarli emas

C) 11

D) 22

26 / 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) BC > AD

C) AB = BC

D) BD = BC

27 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 12

D) 10

28 / 40

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

A) 20

B) 10

C) 15

D) 8

29 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 30°

C) 40°

D) 20°

30 / 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

31 / 40

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

A) 43

B) 42

C) 45

D) 44

32 / 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) 10

C) 12

D) 8

33 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,04

C) 0,(04)

D) 0,0(2)

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 1

D) 4

35 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 115

C) 112

D) 110

36 / 40

√3

A) 21/10

B) 5/5

C) 7/3

D) 3/2

37 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

38 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 20

D) 12

39 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) -π/4+πk, k∈Z

B) Ø

C) π/4+πk, k∈Z

D) 0

40 / 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) 105

B) 100

C) 96

D) 25