2011·山西晋中·一模
1 . 如图,已知坐标平面内,M、N是x轴上关于原点O对称的两点,P是上半平面内一点,△PMN的面积为
点
坐标为
,
(
为常数),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70ab68baa410038ce0aefa6c23abc6f.png)
![](https://img.xkw.com/dksih/QBM/2011/5/19/1570210531041280/1570210536407040/STEM/645c60cd-3e79-415f-84e7-1fe03988f2d8.png?resizew=179)
(1)求以M、N为焦点且过点P的椭圆方程;
(2)过点
的直线l交椭圆于C、D两点,交直线
于点E,点B、E分
的比分别为
、
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09619c291b05a71d8e7465f73920faf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0cd09f6da00c8e8422f954a8c02a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7777a053967e507183de00be07e7d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70ab68baa410038ce0aefa6c23abc6f.png)
![](https://img.xkw.com/dksih/QBM/2011/5/19/1570210531041280/1570210536407040/STEM/645c60cd-3e79-415f-84e7-1fe03988f2d8.png?resizew=179)
(1)求以M、N为焦点且过点P的椭圆方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e30645f36e8628b9e25d53598d5174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ed9c2e9fabbfc63733bae8fa079d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32705e629d8b9187b53efeee6605af15.png)
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