2.2.2 双曲线的简单几何性质(2)
基础练
一、单选题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0e32a4c8c7ad41590a7288e8057ac1.png)
A.4 | B.![]() | C.8 | D.![]() |
【知识点】 求双曲线的焦距
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
A.![]() | B.3 | C.4 | D.2 |
【知识点】 求点到直线的距离 求双曲线的焦点坐标 已知方程求双曲线的渐近线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd7510e17e59d3401a2ce244cc151d5.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/7c5dcd508629095d063e9aa13c65e946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.2 | C.![]() | D.4 |
【知识点】 求双曲线的实轴、虚轴 根据离心率求双曲线的标准方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc3fa9956e631dfd884583c844320e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.2 | D.![]() |
二、填空题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a973773a0215953ee003b1f2659a20d5.png)
【知识点】 求双曲线的实轴、虚轴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fd2d54fe9e90077e7d27edc009edce.png)
【知识点】 根据双曲线方程求a、b、c 已知方程求双曲线的渐近线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf01e1ddba92c5918e2123b2b32aa39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767bb7ef159dde98fdcaccf0d818cdfe.png)
![](https://img.xkw.com/dksih/QBM/2016/10/31/1573102650408960/1573102656667648/STEM/79cb7933-909c-4449-86db-8fd4523f3883.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaca9b2e0629d4c2d16ceddf59de060e.png)
(1)写出双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c61622eb7fa6fabe6bd361bd5aa6107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b490e09248ea3242ec67afae8d00c18.png)