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11.2 圆

11.2 圆. 例 1 （ 1 ）求与直线 y=x 相切，圆心在直线 y=3x 上且被 y 轴截得的弦长为 的圆的方程。. （ 2 ）求与 x 轴相较于 A （ 1,0 ）和 B （ 5,0 ）两点且半径为 的圆的标准方程。. 例 2 ：设 O 是原点，直线 x+2y-3=0 与圆 交于 P 、 Q 两点 . （ 1 ）若线段 PQ 的长度为 ，求实数 m 的值； （ 2 ）若 PO ⊥ OQ ，求该圆的面积.

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11.2 圆

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  1. 11.2 圆

  2. 例1（1）求与直线y=x相切，圆心在直线y=3x上且被y轴截得的弦长为 的圆的方程。 （2）求与x轴相较于A（1,0）和B（5,0）两点且半径为 的圆的标准方程。

  3. 例2：设O是原点，直线x+2y-3=0与圆 交于P、Q两点. （1）若线段PQ的长度为 ，求实数m的值； （2）若PO⊥OQ，求该圆的面积.

  4. 例3 已知直线l： ，圆C： ，试问m为何值时①直线l与圆C相切； ②直线l与圆C相交； ③直线l与圆C相离。

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