参数方程极坐标!!!求大神!!! 如何把直线的参数方程化为极坐标方程
\u53c2\u6570\u65b9\u7a0b\u600e\u4e48\u5316\u4e3a\u6781\u5750\u6807\u65b9\u7a0bx=4cosa\uff0cy=4+4sina
x=4cosa\uff0cy-4=4sina
\u5e73\u65b9\u76f8\u52a0\u5f97
x^2+(y-4)^2=16
x^2+y^2-8y=0
p^2-8Psin\u03b8=0
p=8sin\u03b8
\u53c2\u6570\u65b9\u7a0b\u8ddf\u6781\u5750\u6807\u65b9\u7a0b\u4e0d\u662f\u4e00\u6837\u7684\uff0c\u4e0d\u8981\u4ee5\u4e3a\u03c1\u8ddf\u03b8\u662f\u901a\u7528\u7684\uff0c\u5148\u8981\u628a\u53c2\u6570\u65b9\u7a0b\u5316\u4e3a\u666e\u901a\u65b9\u7a0b\uff0c\u518d\u628a\u666e\u901a\u65b9\u7a0b\u5316\u4e3a\u6781\u5750\u6807\u65b9\u7a0b \u52a9\u4eba\u4e3a\u4e50\u671b\u91c7\u7eb3
将直线的参数方程变成普通方程得直线斜率=√3/2/(1/2)=√3
∴直线L:y=√3x+1
√3x-y+1=0
将圆的极坐标变成直角坐标系方程
x²+y²=8
圆心到直线L距离
=|0-0+1|/2
=1/2
(2)
P在直线上
且P(0,1)是直线的定点
∴将x=1/2t,y=1+√3/2t代入
x²+y²=8得
t²+2√3t-14=0
P（0，1）与A，B的距离之积
=|t1|*|t2|
=|t1t2|
=|-14|
=14
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