高中数学_圆的极坐标方程.ppt
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1.3简单曲线的极坐标方程
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曲线的极坐标方程
一、定义:如果曲线C上的点与方程f(?,?)=0有如下关系
(1)曲线C上任一点的坐标(所有坐标中至少有一个)符合方程f(?,?)=0 ;
(2)方程f(?,?)=0的所有解为坐标的点都在曲线C上。
则曲线C的方程是f(?,?)=0 。
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探究:
如图,半径为a的圆的圆心坐标为(a,0)(a0),你能用一个等式表示圆上任意一点的极坐标(?,?)满足的条件?
x
C(a,0)
O
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极坐标方程:
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例1、已知圆O的半径为r,建立怎样的极坐标系,可以使圆的极坐标方程简单?
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Evaluation only.
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Evaluation only.
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Copyright 2004-2011 Aspose Pty Ltd.
你可以用极坐标方程直接来求吗?
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