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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

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

A) 7

B) 27

C) 6

D) 9

2 / 40

bo‘lsa, ning qiymatini toping.

A) 2

B) 0,7

C) 0,5

D) 1

3 / 40

Hisoblang:

A) 9

B) 27

C) 4

D) 7

4 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) x=a

B) x=-a

C) y=1-a

D) y=-a

5 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 5

B) 12

C) 1

D) 7

6 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 4

B) 1

C) 3

D) 2

7 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 48/65

B) 56/65

C) 40/63

D) 36/65

8 / 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) 7°

B) 17°

C) 14°

D) 24°

9 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 28

C) 40

D) 48

10 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 1

C) 2

D) 3

11 / 40

Hisoblang:

A) 0

B) -√3/2

C) 1/32

D) -1/2

12 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 35

C) 23

D) 14

13 / 40

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

A) 15

B) 8

C) 20

D) 10

14 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 112

C) 115

D) 110

15 / 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√2

C) 4√3

D) 6

16 / 40

Tenglamani yeching:

A) -6

B) 5

C) 6; -5

D) -6; 5

17 / 40

sonlarini taqqolsang.

A) c

B) b

C) c

D) a

18 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

19 / 40

√3

A) 7/3

B) 5/5

C) 21/10

D) 3/2

20 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 22

C) 121

D) berilganlar yetarli emas

21 / 40

Hisoblang:

A) 1

B) cos10°

C) cos50°

D) sin10°

22 / 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) 5 yoki –15

C) 6

D) 3 yoki –8

23 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,04

D) 0,0(4)

24 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 9

C) 10

D) 12

25 / 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°

26 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 24

C) 28

D) 32

27 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 20°

D) 40°

28 / 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) 10

B) 6

C) 8

D) 12

29 / 40

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

A) 42

B) 45

C) 43

D) 44

30 / 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) 2

B) 3

C) 4

D) 1

31 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 1

D) 4

32 / 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) 96

B) 100

C) 105

D) 25

33 / 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) -3

D) -6

34 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 5

D) 6

35 / 40

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

A) 16(π-2)

B) 32

C) 8(π+2)

D) 64

36 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 3

D) 1

37 / 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) BD = BC

D) AB = BC

38 / 40

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

A) 4√7

B) 6√7

C) 10

D) 8

39 / 40

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