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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

Agar ning qiymatini toping.

A) 3

B) 23/75

C) 23/25

D) 75/23

2 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) -452/18

B) 3/18

C) 1/2

D) 5/3

3 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 26

B) 32

C) 48

D) 27

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) 6

B) 2

C) 0

D) 4

5 / 40

Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 12

B) 10

C) 11

D) 13

6 / 40

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

A) 20 km

B) 2 km

C) 200 km

D) 0,2km

7 / 40

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

A) 5050

B) 4800

C) 3600

D) 600

8 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 1

C) 2

D) 4

9 / 40

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

A) 4

B) 5

C) 2

D) 1

10 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 9√5

C) 12√3

D) 8√3

11 / 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) 6

B) 4√2

C) 4√3

D) 3√2

12 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 116

D) 110

13 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) 0

D) π/4+πk, k∈Z

14 / 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) 2√3tg50° tg70°

D) 4 √3tg50° tg70°

15 / 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) 8

B) 12

C) 10

D) 6

16 / 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) 1

C) 3

D) 4

17 / 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) 3 yoki –8

C) 5 yoki –15

D) 4 yoki –12

18 / 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) -3

C) -4

D) -6

19 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,04

D) 0,0(4)

20 / 40

Hisoblang:

A) 0

B) -1/2

C) 1/32

D) -√3/2

21 / 40

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

A) 6

B) 7

C) 8

D) 5

22 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 2

C) 4

D) 3

23 / 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) 10

C) 6√7

D) 4√7

24 / 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) bc/d

C) cd/b

D) 1

25 / 40

Hisoblang:

A) 20/21

B) 9/10

C) 19/20

D) 10/11

26 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 24

C) 30

D) 28

27 / 40

sonlarini taqqolsang.

A) c

B) c

C) b

D) a

28 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 20°

C) 50°

D) 30°

29 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) 5

D) -6; 5

30 / 40

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

A) 8

B) 3

C) 5

D) -2

31 / 40

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

A) 1

B) 4

C) 2

D) 3

32 / 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) 42

C) 64

D) 32

33 / 40

√3

A) 7/3

B) 5/5

C) 3/2

D) 21/10

34 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 4√3

D) 3√2

35 / 40

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

A) 20

B) 15

C) 10

D) 8

36 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 121

C) 22

D) berilganlar yetarli emas

37 / 40

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

A) 64

B) 32

C) 8(π+2)

D) 16(π-2)

38 / 40

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

A) 44

B) 45

C) 42

D) 43

39 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 12

C) 11

D) 9

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) 100

B) 105

C) 25

D) 96