已知圆C经过原点O和点
,圆心在直线
上,则圆心C到弦AO的距离为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ef7355f64b22c72372c1c1baf3a035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f129d441ab39d195cb2580c46065d0fb.png)
更新时间:2020-03-13 10:19:44
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【知识点】 圆的弦长与中点弦
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解题方法
【推荐1】瑞士著名数学家莱昂哈德·欧拉于1765年在他的著作《三角形的几何学》中首次提出定理:三角形的重心、垂心和外心三点共线.后人把这条直线称为三角形的“欧拉线”.已知等腰
的三个顶点是
,
,
,且其“欧拉线”与圆
:
相交于点
,
两点,则
的“欧拉线”方程为_________ ,弦长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c1546b11d74c783683886a760065ad.png)
_________ .
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【推荐2】已知直线l的参数方程为
(t为参数,
为倾斜角),以坐标原点O为极点,x轴的非负半轴为极轴建立极坐标系,曲线C的极坐标方程为
,则直线l被曲线C截得的弦长的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e180e518509657017c6f1a0fd7fe3e98.png)
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