23-24高二上·全国·课前预习
1 . 判断正误,正确的写正确,错误的写错误.
(1)已知点
,
,动点
满足
,则点
的轨迹是椭圆.( )
(2)已知点
,
,动点
满足
,则点
的轨迹是椭圆.( )
(3)已知点
,
,动点
满足
,则点
的轨迹是椭圆.( )
(4)椭圆的两种标准形式中,虽然焦点位置不同,但都满足
.( )
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ff823d603dfb795f6761214afe6d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fb45e6beb1186ffb39d8607b1b381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d150085c3a9a06515395cb4b15e5b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ebe4bb19f4cb9e6809f6a6621d73d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(4)椭圆的两种标准形式中,虽然焦点位置不同,但都满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671241e869118e81afc8cc427d24fe22.png)
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