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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) 3

B) 2

C) 1

D) 4

2 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 45,0608

C) 450,608

D) 40560,8

3 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n < 0, k = 0

B) n > 0, k = 0

C) n = 0, k < 0

D) n = 0, k > 0

4 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 3

C) 7

D) 1

5 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 4

B) 3

C) 2

D) 1

6 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 46

B) 50

C) 40

D) 44

7 / 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

8 / 40

Quyidakilardan qaysi biri juft:

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

A) 3

B) 4

C) 1

D) 2

9 / 40

Hisoblang:

A) 4

B) 3

C) 2

D) 1

10 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 48

C) 28

D) 40

11 / 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) 120

B) 100

C) 90

D) 80

12 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 4

C) 2

D) 3

13 / 40

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

A) 23

B) 14

C) 35

D) 24

14 / 40

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

A) 15

B) 12

C) 13

D) 14

15 / 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) 4√3

B) 4√2

C) 6

D) 3√2

16 / 40

√3

A) 5/5

B) 3/2

C) 7/3

D) 21/10

17 / 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) 1

D) cd/b

18 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 14

D) 12

19 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,(04)

C) 0,0(2)

D) 0,04

20 / 40

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

A) 3 yoki –8

B) 4 yoki –12

C) 5 yoki –15

D) 6

21 / 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) 42

C) 64

D) 48

22 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√2

C) 2√3

D) 3√2

23 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 11

D) 121

24 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 10

D) 12

25 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

26 / 40

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

A) 7

B) 6

C) 5

D) 8

27 / 40

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

A) 4

B) 3

C) 1

D) 2

28 / 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

29 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 2

D) 4

30 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

31 / 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) 12

D) 6

32 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

33 / 40

Hisoblang:

A) 0

B) -1/2

C) -√3/2

D) 1/32

34 / 40

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

A) 16(π-2)

B) 8(π+2)

C) 32

D) 64

35 / 40

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

A) Ø

B) π/4+πk, k∈Z

C) 0

D) -π/4+πk, k∈Z

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) 3

B) 4

C) 1

D) 2

37 / 40

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

A) 7

B) 5

C) 11

D) 10

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

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) BD = BC

C) AB = BC

D) BC > AD

40 / 40

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ega?