在直角坐标系xOy中,圆C的参数方程     为参数).以O为极点,x轴

在直角坐标系xOy中,圆C的参数方程

    为参数).以O为极点,x轴的非负半轴为极轴建立极坐标系.

   (Ⅰ)求圆C的极坐标方程;

   (Ⅱ)直线的极坐标方程是,射线与圆C的交点为O,P,与直

线的交点为Q,求线段PQ的长.

答案

 (Ⅱ)为点的极坐标,则有 , 解得.  

为点的极坐标,则有  解得

由于,所以,所以线段的长为2.          (10)

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