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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 2

B) 4

C) 3

D) 1

2 / 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) 2

B) 4

C) 3

D) 1

3 / 40

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

A) x=-a

B) y=1-a

C) y=-a

D) x=a

4 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 3

B) 1

C) 4

D) 2

5 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUB

C) 1-EKUB 2-EKUK 3-EKUK

D) 1-EKUB 2-EKUB 3-EKUK

6 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 3

B) 4

C) 1

D) 2

7 / 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) 80

B) 120

C) 90

D) 100

8 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √5

B) √6

C) 2,4

D) 2,5

9 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 142°

C) 132°

D) 135°

10 / 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) 20

B) 25

C) 35

D) 40

11 / 40

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

A) 7

B) 11

C) 5

D) 10

12 / 40

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

A) 10

B) 8

C) 20

D) 15

13 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 110

D) 116

14 / 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) 42

C) 32

D) 48

15 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,04

C) 0,0(4)

D) 0,(04)

16 / 40

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

A) 15

B) 13

C) 12

D) 14

17 / 40

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

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) √3tg50° tg70°

D) 2√3tg50° tg70°

18 / 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) 8

C) 6

D) 12

19 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 4√3

D) 3√2

20 / 40

√3

A) 5/5

B) 21/10

C) 3/2

D) 7/3

21 / 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) 25

B) 105

C) 100

D) 96

22 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 3

D) 2

23 / 40

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

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

24 / 40

bo‘lsa,

A) 2

B) 3/2

C) 2/3

D) 1

25 / 40

Hisoblang:

A) 19/20

B) 9/10

C) 10/11

D) 20/21

26 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 4

C) 11

D) 6

27 / 40

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

A) 44

B) 45

C) 43

D) 42

28 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

29 / 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) 4 yoki –12

D) 5 yoki –15

30 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 22

C) berilganlar yetarli emas

D) 11

31 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 4

C) 3

D) 1

32 / 40

Hisoblang:

A) 1/32

B) -1/2

C) 0

D) -√3/2

33 / 40

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

A) 3

B) 8

C) -2

D) 5

34 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

35 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

36 / 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) 4

C) 2

D) 3

37 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 12

C) 20

D) 14

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) -6

B) 5

C) -4

D) -3

39 / 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) 10

C) 6√7

D) 8

40 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 5

D) 6; -5

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