题目内容

(本题满分15分)

已知圆A:与x轴负半轴交于B点,过B的弦BE与y轴正半轴交于D点,且2BD=DE,曲线C是以A,B为焦点且过D点的椭圆.

(1)求椭圆的方程;

(2)点P在椭圆C上运动,点Q在圆A上运动,求PQ+PD的最大值.

 

 

【答案】

 

解:(1)    ………………  4分

椭圆方程为              ………………  7分

(2) ………………10分

=2  ………………14分

所以P在DB延长线与椭圆交点处,Q在PA延长线与圆的交点处,得到最大值为.  15分

 

【解析】略

 

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