2.1.2椭圆的简单几何性质(1)
基础练
一、单选题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fbdcf5ed16ea6ae22fe7446d9aab97.png)
A.(0, ±3) | B.(±3, 0) | C.(0, ±5) | D.(±4, 0) |
【知识点】 求椭圆的焦点、焦距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434249d6640b0c1a712d215cf8b83d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3544997cc034ed882c0d0a3bdbf5f957.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 求椭圆的焦点、焦距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 求椭圆的焦点、焦距 根据离心率求椭圆的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4961b1691269c21995a5d09e77dd557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb153959d3a84cc1f4846f6ffd3b015a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() |
【知识点】 求椭圆的焦点、焦距 根据离心率求椭圆的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/4d7bf30c12641b693705e4ff049fb762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 求椭圆的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b134e25315af2c44f27d3c6d346532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad05ecd38a8c74fbc3fd9fcc9b60ff1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/73ae98e4-9f34-4db8-8183-cd69e4cdb115.png?resizew=240)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 求椭圆的离心率或离心率的取值范围
二、填空题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08b633baa48216fdfca5daa589d6372.png)
【知识点】 求椭圆的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e494274748e0a3d44205fe8c7e4d0fcd.png)
【知识点】 根据离心率求椭圆的标准方程 由圆的一般方程确定圆心和半径
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d57e2f04d1e3781a7f498f26e41062.png)
【知识点】 求椭圆的离心率或离心率的取值范围
三、解答题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dace4d49fc76cbd714d3807801647e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd38f55d7cdae1de6e2a2e2c6e1e57d7.png)
(1)求椭圆的标准方程;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
【知识点】 根据离心率求椭圆的标准方程 椭圆中焦点三角形的面积问题