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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

ni hisoblang.

A) (e-1)/2

B) (e+1)/2

C) e+1

D) e-1

2 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,5

B) 0,32

C) 0,8

D) 0,16

3 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 16

B) √6+√14

C) 18

D) 2√14+√6

4 / 40

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

A) 126

B) 96

C) 114

D) 108

5 / 40

Hisoblang:

A) 3

B) 4

C) 1

D) 2

6 / 40

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

A) 3

B) 2

C) 4

D) 1

7 / 40

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

A) 1

B) 4

C) 5

D) 2

8 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 40

B) 20

C) 35

D) 25

9 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 9

C) 1

D) 5

10 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/3

B) 1/2

C) 8/15

D) 5/6

11 / 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) 6

C) 10

D) 8

12 / 40

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

A) 7

B) 5

C) 11

D) 10

13 / 40

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

A) -2

B) 5

C) 8

D) 3

14 / 40

Hisoblang:

A) 9/10

B) 20/21

C) 10/11

D) 19/20

15 / 40

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

A) 44

B) 43

C) 45

D) 42

16 / 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) 1

C) bc/d

D) cd/b

17 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(4)

C) 0,(04)

D) 0,0(2)

18 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

19 / 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) 8

C) 10

D) 6√7

20 / 40

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

A) 8(π+2)

B) 64

C) 16(π-2)

D) 32

21 / 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) 32

C) 48

D) 42

22 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) -6

D) 6; -5

23 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

24 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 20

C) 14

D) 12

25 / 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) -3

B) -4

C) -6

D) 5

26 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 12

B) 15

C) 14

D) 13

27 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 6

C) 5

D) 11

28 / 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

29 / 40

sonlarini taqqolsang.

A) c

B) c

C) b

D) a

30 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

31 / 40

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

A) 15

B) 20

C) 8

D) 10

32 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 4

C) 2

D) 3

33 / 40

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

A) 5

B) 8

C) 7

D) 6

34 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 4

D) 2

35 / 40

Hisoblang:

A) sin10°

B) cos10°

C) 1

D) cos50°

36 / 40

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

A) Ø

B) 0

C) π/4+πk, k∈Z

D) -π/4+πk, k∈Z

37 / 40

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

A) 3

B) 4

C) 2

D) 1

38 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 2√3

D) 4√3

39 / 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) 96

C) 105

D) 25

40 / 40

Chizmadan foydalanib α ni toping.