已知椭圆
上一点
,点
是椭圆
上异于点
的两个不同的点,直线
与
的斜率均存在,分别记为
,若
,则直线
过定点__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3cfb07fcf2c1bf055d517631d80b7c.png)
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2024高三·全国·专题练习 查看更多[1]
(已下线)专题03 圆锥曲线中的定点定值问题(两大题型)
更新时间:2024-05-22 23:45:13
|
【知识点】 椭圆中的直线过定点问题
相似题推荐
【推荐1】设椭圆
的上顶点为
,过
任作两条互相垂直的直线分别交椭圆
于
,
两点,则直线
过定点______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d0d75f5a2c5c8383c860fbf915fb11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
【推荐2】若过椭圆
右焦点
作两条斜率不为
且互相垂直的直线分别交椭圆于
和
,线段
的中点为
,线段
的中点为
,则直线
过
轴上一定点___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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