已知过椭圆
:
的左焦点
且斜率为
的直线与椭圆
相交于
,
两点,若
,则椭圆
的离心率为 _____ .
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2171a7e806dc496b06bfe0a3a043e1.png)
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更新时间:2022-02-21 16:47:45
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【推荐1】已知椭圆
的半焦距为
,左焦点为
,右顶点为
,抛物线
与椭圆交于
两点,若四边形
为菱形,则椭圆的离心率是________ .
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【推荐2】已知椭圆
的右焦点为
,过坐标原点
的直线
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,
两点.在
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的离心率为__________ .
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【推荐1】已知椭圆
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,直线
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相切于第一象限的点A,与椭圆C交于
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轴正半轴交于点
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,则点A坐标为__________ ,直线
的方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219cf5ee39817cd25789e9a687212549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648a303009f944e1a9983c3f62c7b6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3a884987c9d16941be91e93cdc37de.png)
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【推荐2】在平面直角坐标系xOy中,曲线
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的极坐标方程为
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解题方法
【推荐1】已知椭圆
的右顶点为A,上顶点为B,且直线l与椭圆交于C,D两点,若直线l
直线AB,设直线AC,BD的斜率分别为
,
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
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【推荐2】椭圆
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