已知
,
两点在对称轴为坐标轴的椭圆上,则椭圆的标准方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dab74e16403e8131f9f5b2a74f3a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a2e745750f1ba338622a776fa4d7ff.png)
2023·上海静安·二模 查看更多[4]
更新时间:2023-04-13 12:48:42
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【知识点】 根据椭圆过的点求标准方程
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【推荐1】设椭圆
的左顶点
,过点
的直线
与
相交于另一个点
,与
轴相交于点
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c108bdce2623f4197f902307b2e35358.png)
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【推荐2】已知点
在椭圆
上,若
,
分别为椭圆的左、右焦点,O为坐标原点且
,则椭圆C的离心率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e947a50d41e9b434cf1db319657821b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb70bc27f84c4e00917c36baddfa91cf.png)
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