解题方法
1 . 已知
是椭圆
上一点.
(1)求
的离心率;
(2)过点
作两条互相垂直且斜率均存在的直线
与
交于
两点,
与
交于
两点,
分别为弦
和
的中点,直线
与
轴交于点
,试判断
是否为定值.若是,求出该定值;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f651031c6025b6f33498e9698576db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817e9ed9062ace5344891c1cde6e1c03.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e646897fd3cd0581d197306d43cb1601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f752c13a92273c899ba39bfb5665ed00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa69fd8445d01c98634c2e885b47d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f44755c5fee4b90266eac73ad47a128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80cb9f37d7a4f30c37dc24baf89c93bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
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