2.2.2 双曲线的简单几何性质(1)
基础练
一、单选题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c95e0a80f48f75b0bff3dab49d00e.png)
A.1 | B.2 | C.4 | D.8 |
【知识点】 求双曲线的实轴、虚轴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/250c8584ca99fc1ac122f271987d410a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
A.4 | B.![]() | C.![]() | D.2 |
【知识点】 求双曲线的实轴、虚轴 由双曲线的离心率求参数的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
A.2 | B.![]() | C.3 | D.![]() |
【知识点】 等轴双曲线 求双曲线的离心率或离心率的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34ce8dbe8dcf093d079a963176fc8f7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
【知识点】 已知方程求双曲线的渐近线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965017ac28701e1bc9afe7668c751950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca2415dee662897b676734cfc768d66.png)
A.![]() | B.![]() | C.![]() | D.![]() |
二、填空题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f1bd3fc737788a0a42bfa4095e8457.png)
【知识点】 求点到直线的距离 求双曲线的顶点坐标 已知方程求双曲线的渐近线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49989cdbeca151ff28971ad107998f5b.png)
【知识点】 求双曲线的离心率或离心率的取值范围
三、解答题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5139f2409c898d00940e019e5954982b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cc7bb2216359e989b859ab9f02c5c3.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)