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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 4

B) 1

C) 2

D) 3

2 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 35

C) 12

D) 11

3 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 1

C) 2

D) 3

4 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 13

B) 9,25

C) 5,75

D) 6

5 / 40

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

A) y=1-a

B) x=-a

C) y=-a

D) x=a

6 / 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) 18

B) 16

C) √6+√14

D) 2√14+√6

7 / 40

Soddalashtiring:

A) 1

B) 2

C) Aniqlab bo`lmaydi

D) 3

8 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 48/5

B) 10

C) 16

D) 64/5

9 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 120°

B) 130°

C) 100°

D) 110°

10 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 100

B) 120

C) 90

D) 80

11 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 9

B) 8

C) 10

D) 6

12 / 40

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

A) 5

B) 2

C) 4

D) 1

13 / 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) 48

C) 42

D) 64

14 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 3

D) 2

15 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 40°

C) 50°

D) 20°

16 / 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) 4 yoki –12

C) 5 yoki –15

D) 3 yoki –8

17 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 1

D) 4

19 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

20 / 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) 4√7

D) 6√7

21 / 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) 8

D) 10

22 / 40

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

A) bc/d

B) cd/b

C) bd/c

D) 1

23 / 40

Hisoblang:

A) cos50°

B) sin10°

C) 1

D) cos10°

24 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,04

D) 0,0(4)

25 / 40

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

A) 8

B) 5

C) 7

D) 6

26 / 40

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

A) 32

B) 64

C) 8(π+2)

D) 16(π-2)

27 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 28

C) 24

D) 32

28 / 40

√3

A) 21/10

B) 7/3

C) 3/2

D) 5/5

29 / 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

30 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 12

C) 20

D) 14

31 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) -6

D) 5

32 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 110

C) 112

D) 116

33 / 40

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

A) 14

B) 24

C) 23

D) 35

34 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

35 / 40

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

A) 1

B) 4

C) 2

D) 3

36 / 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) AB = BC

C) BC > AD

D) BD = BC

37 / 40

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

A) 14

B) 12

C) 13

D) 15

38 / 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) 25

D) 105

39 / 40

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