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1 . 求下列各曲线的标准方程.
(1)长轴长为
,离心率为
,焦点在
轴上的椭圆;
(2)已知双曲线的渐近线方程为
,焦距为
,求双曲线的标准方程.
(1)长轴长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e61680ffc6f940bd5b8afda3ae9c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0e7bfbd56fe73dfe04c04da749d942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知双曲线的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f36c4384380195b3d1393fbd39844e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
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2018-01-20更新
|
1098次组卷
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3卷引用:湖北省武汉市蔡甸区汉阳一中、江夏一中2017-2018学年高二上学期12月联考数学(理)试题
解题方法
2 . 已知双曲线
,若双曲线的渐近线过点
,且双曲线过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9087a172288f3e733a894e76ec160b.png)
(1) 求双曲线
的方程;
(2)若双曲线
的左、右顶点分别为
,点P在C上且直线
的斜率的取值范围是
,求直线
斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950e6108856cfb8d45b1a1e6aa6900e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9087a172288f3e733a894e76ec160b.png)
(1) 求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800c5e266b4ad8462a46970f0a232d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207d4e2770e2e09f2a72ce526cc2816a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46b053f98b1d05a2043e94eeaefea87.png)
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