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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

118 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*cos5x

B) 16sin3x*sin5x

C) 16cos3x*cos5x

D) -16cos3x*sin5x

2 / 40

2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-x+5

B) f(x)+2x²-1

C) f(x)=x²-4

D) f(x)=x²+3x+7

3 / 40

3. Hisoblang?

A) 2

B) 0,25

C) 0,5

D) 4

4 / 40

4. Yig‘indini toping.

A) 1/4

B) 1/12

C) 1/6

D) 1/9

5 / 40

5. a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 11

C) 6

D) 5

6 / 40

6. y = x²+ 2 va y = x² + 3x parabolalar va x=1, x =2 to‘g‘ri chiziqlar bilan chegaralangan shaklni yuzini toping.

A) 5/3

B) 5/2

C) 7/2

D) 7/3

7 / 40

7. Boshlang‘ich funksiyasini toping:

A) F(x)=-4cos(x/4+5)+C

B) F(x)=5cos(x/4+5)+C

C) F(x)=(1/4)cos(x/4+5)+C

D) F(x)=4cos(x/4+5)+C

8 / 40

8. Diagonallari 6 va 8 ga teng bo‘lgan rombga ichki aylana chizilgan. Aylananing romb tomoni bilan urinish nuqtasidan katta diagonalgacha bo‘lgan masofani toping.

A) 3,2

B) 1,92

C) 2,4

D) 1,8

9 / 40

9. Agar g ( x) - uchinchi darajali keltirilgan f(x)=x³+ax²+bx+c ko‘phadning ildizlari, ko‘phad ildizlarining teskarisiga teng bo‘lsa, u holda g (1) ning qiymatini a, b, c lar
orqali ifodalang.

A) 1

B) 3

C) 4

D) 2

10 / 40

10. AB masofani toping ?

A) √27

B) √24

C) √29

D) √30

11 / 40

11. Agar A=x³+x²-2x, B=x⁴-x va C=x⁴+2x³-3x² bo'lsa, EKUB( A; B;C) ni toping.

A) x(x-1)

B) x+3

C) x

D) x-2

12 / 40

12. To'g'ri burchakli uchburchakning gipotenuzasiga o'tkazilgan bissiktriksasi uni 20 va 30 ga teng kesmalarga ajratadi. To'g'ri burchakli uchburchak yuzini toping.

A) 7500/13

B) 7551/15

C) 6700/13

D) 15

13 / 40

13. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) 2b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

14 / 40

14. ifoda x ning nechta qiymatida ma’noga ega emas?

A) 1

B) 4√2/9

C) 3

D) 2

15 / 40

15. f(x)=2·tgx funksiyaning x₀=π nuqtadagi hosilasini toping.

A) 1

B) 0

C) -2

D) 2

16 / 40

16. Agar ln(ab)=2x ba ln(a/b)=2y bo'lsa, a=?

A) IV

B) II

C) I

D) III

17 / 40

17. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?

A) 2x(b+d)+2bd

B) 2x(b+d)

C) 2x+3b+4d

D) 2bdx+2bd

18 / 40

18. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x-7)/2

C) (x+3)/2

D) (x-3)/3

19 / 40

19. Agar tg(x+y)=3 va tg(x-y)=2 bo’lsa tg2x+5 ning yarmini toping

A) -1

B) 2

C) 5

D) 1

20 / 40

20. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 6

B) 7

C) 9

D) 14

21 / 40

21. Meshdagi suv Sarvarning o'ziga 20 kunga, Behruzga esa 60 kunga yetadi. Meshdagi suv ikkalasiga necha kunga yetadi?

A) 15

B) 16

C) 12

D) 14

22 / 40

22. Teng yonli uchburchakning asosi yon tomonidan 15 ga ortiq uchburchakning asosiga tushirilgan balandligi 15 ga teng bo’lsa , uning asosini toping.

A) 36

B) 42

C) 40

D) 20

23 / 40

23. y=6x+18 to’g’ri chiziq bilan chegaralangan soha yuzini toping.

A) 27

B) 48

C) 12

D) 18

24 / 40

24. y=arcsin(-x-1) funksiyani aniqlanish sohasini toping.

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) -2≤x≤2

25 / 40

25. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 12/15

D) 11/15

26 / 40

26. f(x+10)=f(x)·f(x-10)-x f(0)=1/2 va f(10)=30 bo’lsa, f(20)=?

A) 30

B) 5

C) 6

D) 2

27 / 40

27. Agar f(x)=x³─5x²+2x+a va f "(2)=f(2) bo’lsa, a ning qiymatini toping.

A) 12

B) 5

C) 10

D) 6

28 / 40

28. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,125

D) 0,5

29 / 40

29. To’g’ri burchakli uchburchakning katetlari 5 sm va 12 sm. Uchburchakka ichki chizilgan aylananing radiusini toping.

A) 2 sm;

B) 3 sm;

C) 4 sm;

D) 2 m;

30 / 40

30. Uchburchakning b va c ga teng tomonlari orasidagi burchagi 30⁰ ga teng. Uchburchakning uchunchi tomoni 12 ga teng bo'lsa hamda uning tomonlari c² = b² + 12b + 144 shartni qanoatlantirsa, c ning qiymatini toping.

A) 12

B) 6√3

C) 24√3

D) 12√3

31 / 40

31. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) ln(lnx)+c

D) lnx+c

32 / 40

32. funksiyaga teskari funksiyani toping.

A) IV

B) II

C) III

D) I

33 / 40

33. Konus o’q kesimi yuzi 4√3 ga teng muntazam uchburchakdan iborat. Konus to’la sirtini toping?

A) 12π

B) 24π

C) 18π

D) 6π

34 / 40

34. sin (2arccos1/3) ni hisoblang.

A) 2/3

B) 2/9

C) 4√2/9

D) 4√4/9

35 / 40

35. 1,2,3,4,2,3,1,4,5,3,2,12,3,4,2,1,3,2,1,4,3,2,1,2,3,4,2,1,2,3. Chastotasi eng kata bo’lgan songa 3 ni qo’shsak achiqsa. a²= ?

A) 16

B) 49

C) 25

D) 36

36 / 40

36. x ning qanday qiymatida lg2; lg(2^x-1); lg(2^x+3) arfimetik progressiyani tashkil qiladi?

A) log₂5

B) 2

C) 3

D) log₅2

37 / 40

37. y₁ va y₂ y² + my + n = 0 tenglamaning ildizlari, y₁ va y₂ ning har birini 4 taga orttirib, ildizlari hosil bo'lgan sonlarga teng kvadrat tenglama tuzildi. Agar uning ozod hadi n -24 (n dastlabki tenglamaning ozod hadi) ga teng bo'lsa, m nechaga teng?

A) 10

B) 11

C) 9

D) 12

38 / 40

38. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²/2π

B) b²-2π

C) b²-b²/2π

D) b²+b²/2π

39 / 40

39. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.