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复杂的参数曲线

2009-08-02 23:04:34| 分类：高等数学图形动画 | 标签： |举报 |字号大中小订阅

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利用参数方程可以表示很复杂的平面曲线，这些曲线是不可能用显函数来表示的。

例如，参数方程：

表示的就是一条复杂的曲线：

with(plots):
curve:=plot([cos(t)-cos(80*t)*sin(t),2*sin(t)-sin(80*t),t=0..2*Pi],thickness=2):
display(curve,scaling=unconstrained,tickmarks=[0,0]);

曲线的动画：

with(plots):
x:=t->cos(t)-sin(t)*cos(80*t):y:=t->2*sin(t)-sin(80*t):
K:=50:for i from 1 to K do ti:=i*2*Pi/K:
quxian[i]:=plot([x(t),y(t),t=0..ti],thickness=2) od:
quxian:=display(seq(quxian[i],i=1..K),insequence=true):
text:=textplot([0,-0.5,"net"],color=grey):
display(quxian,text,tickmarks=[3,3]);

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