Графики гармонических колебаний

1.

Покажите как проходит график
функции у = sin x
Y
X
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

2.

Как изменится этот график при построении
функции Y=sin(x-∏/6)
Y
П
6
Y(x)=sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/
X

3.

Y=sin(x-∏/6)
Y
X
Y(x)=sin(x)
Y(x)=sin(x-pi/ 6)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

4.

Покажите как проходит график
функции у = cos x
Y
X
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

5.

Как изменится этот график при построении
функции Y=cosx+2
Y
X
Y(x)=cos(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

6.

Y=cosx+2
Y
X
Y(x)=cos(x)
Y(x)=cos(x)+pi/ 3
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

7.

Примеры 1. у=sin(x)
Y
X
Y(x)=sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

8.

у=sin(2x)
Y
X
Y(x)=sin(x)
Y(x)=sin(2*x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

9.

у=sin(3x)
Y
X
Y(x)=sin(x)
Y(x)=sin(3*x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

10.

у = cos(4x)
Y
X
Y(x)=cos(x)
Y(x)=cos(4*x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

11.

у=sin(x/2)
Y
X
Y(x)=sin(x)
Y(x)=sin(x/ 2)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

12.

Что происходит с
графиками?
Сделайте вывод.

13.

Примеры 2. у=sin(x)
Y
X
Y(x)=sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

14.

у=2sin(x)
Y
X
Y(x)=sin(x)
Y(x)=2*sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

15.

у=4sin(x)
Y
X
Y(x)=sin(x)
Y(x)=2*sin(x)
Y(x)=4*sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

16.

у=0,5sin(x)
Y
X
Y(x)=sin(x)
Y(x)=0.5*sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

17.

у = 3cos(x)
Y
X
Y(x)=3*cos(x)
Y(x)=cos(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

18.

у = -3cos(x)
Y
X
Y(x)=cos(x)
Y(x)=-3cos(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

19.

Что происходит с
графиками?
Сделайте вывод.

20.

Примеры 3. у=3sin(2x)
Y
X
Y(x)=3*sin(2*x)
Y(x)=sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

21.

у=3sin(0,5x+∏/6)-1
объясните, какие преобразования
произошли
Y
X
Y(x)=3*sin(0.5*x+pi/ 6)-1
Y(x)=sin(x)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/

22.

Правило1. Как построить график функции
y= тf(x) если известен график функции y= f(x).

23.

Правило2. Как построить график
функции y= f(kx) если известен график
функции y= f(x).

24.

Уравнение гармонических колебаний s=Asin(wt+a)

25.

у=3sin(2x+∏/3)
Y
X
Y(x)=cos(x)
Y(x)=3*sin(2*x+pi/ 3)
Created with a trial version of Advanced Grapher - http:/ / www.alentum.com/ agrapher/