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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

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) a>b>c

C) a>c>b

D) c>a>b

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) 4

B) 3

C) 1

D) 2

3 / 40

Aniq integralni hisoblang:

A) 2

B) 0

C) 3

D) 0,5

4 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 6

B) 35/6

C) 25/3

D) 8

5 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) 0

B) -3

C) -1

D) -2

6 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 40°

B) 30°

C) 10°

D) 20°

7 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) -√17

B) -4

C) √17

D) 4

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) 2,4

B) 2,5

C) √6

D) √5

9 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 1

B) 3

C) 4

D) 2

10 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+4)/4

B) (4-m)/4

C) 2/m

D) (m+1)/2

11 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 2

C) 1

D) 3

12 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 5 yoki –15

B) 4 yoki –12

C) 6

D) 3 yoki –8

13 / 40

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

A) π/4+πk, k∈Z

B) -π/4+πk, k∈Z

C) 0

D) Ø

14 / 40

Hisoblang:

A) 9/10

B) 19/20

C) 10/11

D) 20/21

15 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

16 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,04

D) 0,0(4)

17 / 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) -6

D) -3

18 / 40

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

A) 5

B) 10

C) 7

D) 11

19 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 14

D) 12

20 / 40

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

A) 45

B) 42

C) 43

D) 44

21 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 112

D) 115

22 / 40

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

A) 64

B) 8(π+2)

C) 32

D) 16(π-2)

23 / 40

√3

A) 21/10

B) 5/5

C) 7/3

D) 3/2

24 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 4

C) 3

D) 2

25 / 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) bd/c

C) cd/b

D) 1

26 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

27 / 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) 6

C) 4√3

D) 4√2

28 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

29 / 40

sonlarini taqqolsang.

A) a

B) c

C) c

D) b

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) 4

B) 2

C) 3

D) 1

31 / 40

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

A) 6√7

B) 8

C) 4√7

D) 10

32 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) berilganlar yetarli emas

C) 121

D) 22

33 / 40

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

A) 12

B) 13

C) 15

D) 14

34 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 24

C) 30

D) 32

35 / 40

bo‘lsa,

A) 2/3

B) 3/2

C) 1

D) 2

36 / 40

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

A) 4

B) 3

C) 1

D) 2

37 / 40

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

A) 20

B) 10

C) 8

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) 100

B) 105

C) 96

D) 25

39 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 20°

D) 40°

40 / 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) 6

B) 12

C) 10

D) 8