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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

bo‘lsa, ning qiymatini toping.

A) 0,7

B) 2

C) 0,5

D) 1

2 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 4

B) 2

C) 3

D) 5

3 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 32

B) 26

C) 48

D) 27

4 / 40

Hisoblang:

A) 27

B) 4

C) 9

D) 7

5 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 3

B) 1

C) 4

D) 2

6 / 40

Soddalashtiring:

A) 1

B) Aniqlab bo`lmaydi

C) 2

D) 3

7 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 5050

B) 3600

C) 600

D) 4800

8 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 4

B) 1

C) 3

D) 2

9 / 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) 2,5

D) 2,4

10 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab kamayadi, keyin o‘sadi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy o‘suvchi

11 / 40

√3

A) 3/2

B) 7/3

C) 21/10

D) 5/5

12 / 40

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

A) 12

B) 15

C) 14

D) 13

13 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 11

C) 5

D) 4

14 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 3

D) 1

15 / 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) 3 yoki –8

D) 5 yoki –15

16 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

17 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 50°

C) 30°

D) 40°

18 / 40

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

A) 32

B) 8(π+2)

C) 64

D) 16(π-2)

19 / 40

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

A) 4

B) 3

C) 1

D) 2

20 / 40

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

A) 35

B) 23

C) 14

D) 24

21 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 19/20

D) 9/10

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

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 9

D) 10

24 / 40

Hisoblang:

A) 0

B) -1/2

C) 1/32

D) -√3/2

25 / 40

bo‘lsa,

A) 1

B) 2

C) 3/2

D) 2/3

26 / 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) AB = BC

B) BC > AD

C) BD = BC

D) DC < AD

27 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 1

D) 4

28 / 40

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

A) 42

B) 45

C) 44

D) 43

29 / 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√2

B) 6

C) 3√2

D) 4√3

30 / 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) -3

B) -6

C) 5

D) -4

31 / 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

32 / 40

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

A) 8

B) 20

C) 15

D) 10

33 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

34 / 40

Hisoblang:

A) 1

B) cos10°

C) sin10°

D) cos50°

35 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 12

C) 14

D) 10

36 / 40

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

A) 7

B) 5

C) 8

D) 6

37 / 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

38 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 48

B) 42

C) 64

D) 32

39 / 40

Kvadratlarning yuzlari yig‘indisini toping.