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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

70 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

180 gramm suvga 70 gramm tuz aralashtrildi. Hosil bo‘lgan aralashmaninmg necha foizi suvdan iborat?

A) 72

B) 75

C) 78

D) 70

2 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 60

B) 58

C) 61

D) 59

3 / 40

Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 6

B) 9

C) 7

D) 27

4 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 114

C) 126

D) 108

5 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 7

C) 3

D) 1

6 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 1

B) 3

C) 4

D) 2

7 / 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) 20 km

C) 2 km

D) 0,2km

8 / 40

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

A) 11

B) 12

C) 13

D) 14

9 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 101

C) 98

D) 99

10 / 40

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

A) 5050

B) 3600

C) 4800

D) 600

11 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) x∈R

D) (-∞;0)∪(0;∞)

12 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 1

C) 2

D) 4

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 9

D) 10

14 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

15 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 4

D) 3

16 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 116

C) 112

D) 115

17 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 121

C) 11

D) berilganlar yetarli emas

18 / 40

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

A) 4 √3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

19 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 28

D) 32

20 / 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) 3√2

B) 4√3

C) 6

D) 4√2

21 / 40

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

A) 2

B) 4

C) 1

D) 3

22 / 40

Hisoblang:

A) cos10°

B) sin10°

C) 1

D) cos50°

23 / 40

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

A) 8(π+2)

B) 64

C) 32

D) 16(π-2)

24 / 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

25 / 40

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

A) 10

B) 20

C) 15

D) 8

26 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 3√2

C) 2√3

D) 2√2

27 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 6

C) 5

D) 11

28 / 40

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

A) 10

B) 6√7

C) 4√7

D) 8

29 / 40

sonlarini taqqolsang.

A) b

B) a

C) c

D) c

30 / 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) BD = BC

C) DC < AD

D) BC > AD

31 / 40

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

A) 32

B) 42

C) 64

D) 48

32 / 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) 4

D) 2

33 / 40

√3

A) 21/10

B) 7/3

C) 5/5

D) 3/2

34 / 40

bo‘lsa,

A) 1

B) 2

C) 3/2

D) 2/3

35 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 6

B) 5 yoki –15

C) 4 yoki –12

D) 3 yoki –8

36 / 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

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) 10

C) 8

D) 6

38 / 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) 5

C) -6

D) -3

39 / 40

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