2011·甘肃·二模
解题方法
1 . 已知双曲线
的上、下顶点分别为A、B,一个焦点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925752b294d622b2386a885ff67382bc.png)
,两准线间的距离为1,
成等差数列.
(1)求双曲线的方程;
(2)设过点
作直线
交双曲线上支于
两点,如果
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29c0738fd840c1acadc91365ff366f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925752b294d622b2386a885ff67382bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8407a79a35b42bd01409c85d2ccf2bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5453b3e831fdd33c73bc506c18c5f1.png)
(1)求双曲线的方程;
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa594f5fd4aa77484bd870820bb78ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbec471ffed534e60ec40d48b9f0968.png)
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