3.1.2 椭圆的简单几何性质(2)
重点练
一、单选题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7a55f5bf051cfdfba52c4b18c0c12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 根据离心率求椭圆的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6adab224b9e3552b032249e6149671.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 椭圆定义及辨析 求椭圆的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229383d85f94e0e9de799c166b5520e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a8b76e36783a69d14ec54af82c7df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d72bbe8e3153ec9b618f1c14c5cec6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/3529c79ae29048b50f7a76f64ce4792f.png)
A.越扁 | B.越接近于圆 | C.先接近于圆后越扁 | D.先越扁后接近于圆 |
二、填空题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392d61933568d27a27568c6298365bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163fe0bf4cf830b042150daa99f34f3a.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc2518c64be54c16908f868034d8fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/921d3ac6-3730-4826-b9c0-f339af451a52.png?resizew=162)
【知识点】 求椭圆的焦点、焦距
三、解答题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40a0b3348d0db2346c45270dc174301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
(1)求椭圆C的焦点坐标和离心率;
(2)设直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e35701dd16dbf6ec916064880b8b52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(3)求通过M点且被这点平分的弦所在的直线方程.