如图,在平面直角坐标系
中,已知椭圆
:
经过点
.设椭圆
的左顶点为
,右焦点为
,右准线与
轴交于点
,且
为线段
的中点. 椭圆
的标准方程为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/2b2fe8b5-1531-4ab2-9e78-33f46f04bcff.png?resizew=169)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de261e9b4defbc0be6440397031a87b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/2b2fe8b5-1531-4ab2-9e78-33f46f04bcff.png?resizew=169)
更新时间:2019-10-14 14:54:30
|
【知识点】 根据a、b、c求椭圆标准方程
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【推荐1】已知椭圆
的焦距为6,且短轴的一个顶点为
,则椭圆
的标准方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
【推荐2】椭圆的一个焦点到长轴两端点的距离之比为
,短轴长为8,则椭圆的标准方程为____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9c934d84feba963335cc7edf01610e.png)
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