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Matematika attestatsiya №13

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Iyul 21, 2022

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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) -16cos3x*sin5x

C) 16sin3x*sin5x

D) 16cos3x*cos5x

2 / 40

2. Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 13

B) 5,75

C) 9,25

D) 6

3 / 40

3. Quyidakilardan qaysi biri juft:

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

A) 4

B) 1

C) 3

D) 2

4 / 40

4. Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 4

C) 3

D) 2

5 / 40

5. 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) 105

B) 25

C) 96

D) 100

6 / 40

6. ning asosiy davrini toping.

A) (6π)/5

B) (4π)/5

C) (3π)/5

D) (2π)/5

7 / 40

7. 8x²+4x³-3x-7=0 tenglama ildizlari ko‘paytmasini toping.

A) -2

B) -3

C) 1,75

D) -4

8 / 40

8. Agar a,b>0 sonlari uchun f(a·b) = f(a) + f(b) tengligi, p – tub sonlari uchun esa f(p)=p tengligi
qanoatlantirilsa, u holda f(25/11) ning qiymatini toping.

A) 1

B) 21

C) -1

D) 11

9 / 40

9.
Tenglama katta ildizining kichik idiziga nisbatini toping.

A) -0,4

B) 0,4

C) -0,2

D) -2,5

10 / 40

10. Hisoblang.

A) 2

B) 0

C) 1

D) -1

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-2

C) x

D) x+3

12 / 40

12. Hisoblang

A) 36

B) 9

C) 12

D) 6

13 / 40

13. k va l ning qanday qiymatlarida y=k/x giperbola va y=kx+l to’g’ri chiziq M( -1;1) nuqtalardan o’tadi.

A) -1; 2

B) 1;0

C) -1; 0

D) -1;-2

14 / 40

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

A) b²-b²/2π

B) b²/2π

C) b²-2π

D) b²+b²/2π

15 / 40

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

A) 1

B) -1

C) 2

D) 5

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. sin (2arccos1/3) ni hisoblang.

A) 2/9

B) 4√2/9

C) 4√4/9

D) 2/3

18 / 40

18. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0

C) 0,125

D) 0,25

19 / 40

19. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

20 / 40

20. 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) 25

C) 49

D) 36

21 / 40

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

A) 2 m;

B) 4 sm;

C) 3 sm;

D) 2 sm;

22 / 40

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

A) 12

B) 27

C) 48

D) 18

23 / 40

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

A) 0

B) 1

C) 2

D) -2

24 / 40

24. funksiyaga teskari funksiyani toping.

A) III

B) I

C) IV

D) II

25 / 40

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

A) 40

B) 36

C) 42

D) 20

26 / 40

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

A) 2

B) 3

C) log₂5

D) log₅2

27 / 40

27. Quydagi to’g’ri to’rt burchak yuzasining eng kichchik qiymatini toping.

A) 1

B) 3

C) 2

D) 4

28 / 40

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

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

B) 2x(b+d)

C) 2bdx+2bd

D) 2x+3b+4d

29 / 40

29. 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

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) 24√3

B) 6√3

C) 12

D) 12√3

31 / 40

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

A) 18π

B) 6π

C) 24π

D) 12π

32 / 40

32. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) xlnx-x+c

C) ln(lnx)

D) lnx+c

33 / 40

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

A) 4√2/9

B) 3

C) 1

D) 2

34 / 40

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

A) 2π²

B) π²/4

C) 3π²/4

D) α²

35 / 40

35. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 24/25

D) 11/15

36 / 40

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

A) 14

B) 6

C) 9

D) 7

37 / 40

37. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-7)/2

D) (x-3)/3

38 / 40

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

A) 12

B) 15

C) 14

D) 16

39 / 40

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

A) 30

B) 6

C) 2

D) 5

40 / 40

40. 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) 11

B) 9

C) 12

D) 10