已知函数f(x)=3sin(x/2+π/6)用五点画图法画出它在一个周期内的图象

问题描述:

已知函数f(x)=3sin(x/2+π/6)用五点画图法画出它在一个周期内的图象
1个回答 分类:数学 2014-11-23

问题解答:

我来补答
T=2π/0.5=4π
f(x)=3sin[0.5(x+π/3)]
f(x)=0,0.5(x+π/3)=0; 0.5(x+π/3)=π,0.5(x+π/3)=2π;
x=-π/3; x=5π/3; x=11π/3
f(x)=1,0.5(x+π/3)=π/2
x=2π/3;
f(x)=-1,0.5(x+π/3)=3π/2
x=8π/3
五点连接
 
 
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