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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) a>c>b

B) c>a>b

C) b>a>c

D) a>b>c

2 / 40

ni hisoblang.

A) (e+1)/2

B) e-1

C) e+1

D) (e-1)/2

3 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) √2

C) 2

D) 1

4 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4,5

B) 4

C) 3

D) 7,5

5 / 40

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

A) 16

B) 10

C) 64/5

D) 48/5

6 / 40

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

A) 2

B) 4

C) 1

D) 3

7 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) √3R(2-√3)

B) 1,5R

C) R(√3-√2)

D) 3R

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) √6

B) √5

C) 2,5

D) 2,4

9 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 48

B) 64

C) 16

D) 32

10 / 40

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

A) -√17

B) -4

C) 4

D) √17

11 / 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) 5 yoki –15

C) 4 yoki –12

D) 3 yoki –8

12 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 3√2

D) 2√2

13 / 40

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

A) 8

B) 6

C) 7

D) 5

14 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 5

D) 6

15 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

16 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 1

D) 4

17 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) berilganlar yetarli emas

C) 22

D) 11

18 / 40

sonlarini taqqolsang.

A) a

B) c

C) b

D) c

19 / 40

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

A) 8

B) 3

C) 5

D) -2

20 / 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) 96

C) 100

D) 105

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) 42

C) 32

D) 48

22 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

23 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 10

C) 9

D) 12

24 / 40

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

A) 8(π+2)

B) 64

C) 16(π-2)

D) 32

25 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,(04)

D) 0,04

26 / 40

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

A) 15

B) 8

C) 10

D) 20

27 / 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) 35

C) 23

D) 24

28 / 40

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

A) 0

B) -π/4+πk, k∈Z

C) π/4+πk, k∈Z

D) Ø

29 / 40

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

A) 44

B) 45

C) 43

D) 42

30 / 40

Tenglamani yeching:

A) 5

B) -6

C) -6; 5

D) 6; -5

31 / 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

32 / 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

33 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.