已知椭圆
,一组平行直线的斜率为
,经计算当这些平行线与椭圆相交时,被椭圆截得的线段的中点在定直线l上,则直线l的方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
更新时间:2021-10-06 13:05:23
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【推荐1】如图,A、B为椭圆
的两个顶点,过椭圆的右焦点F作
轴的垂线与其交于点C,若AB∥OC(O为坐标原点),则直线AB的斜率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d891034f9d4ee622e083d44989b7fdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/76d66016-ce9e-4013-b4f3-6fe1440f4945.png?resizew=183)
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【推荐2】已知过点
的直线与椭圆
相交于不同的两点A和B,在线段AB上存在点Q,满足
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8115c09f801cf0bb02293baef7bf137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69daca955a565fa537347dd0d93783f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2137220c76070a62e7f548bccf80086f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a84af713ec9898211637cfa1b0ef3b2.png)
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【推荐1】已知椭圆
:
的上顶点为B,右焦点为F,直线
与椭圆
交于
两点,若椭圆
的右焦点
恰好为
的垂心,则直线
的方程为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80af97f1dc2fa60681380ef6faefab0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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【推荐2】已知椭圆
的上下顶点分别为
,过点
的直线交椭圆于
两点,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adc55c4f160ab990f7afdbb82981d27.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f772c3845894acb33c695f4e235fbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631e87de1f9e8cb00ee39a11b100d584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adc55c4f160ab990f7afdbb82981d27.png)
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