第十讲 圆锥曲线(二)双曲线.doc

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1、第十讲圆锥曲线二（双曲线）一【考点提示】（一）定义：1.第一定义：__________________________________________________________________________________________________2.第二定义：__________________________________________________________________________________________________（二）方程：标准方程：______________________________________________

2、____________________________________________________（三）性质：1.范围：________________________________________________2.离心率：__________________________________________________________________________________________________3.准线：_________________________________________________4.焦半径：__________________

3、________________________________________________________________________________5.通径：_________________________________________________6.焦准距：_______________________________________________7.切线方程：________________________________________________8.弦长公式：____________________________________________

4、____9.特殊三角形：______________________________________________________________________________________________________________________________________________（四）点与双曲线的位置关系：__________________________________________________________________________________________________（五）焦点三角形：1.顶角：_____________

5、____________________________________2.焦点三角形面积：_________________________________________（五）共轭双曲线：___________________________________________________________________________________________________________________________________________________（六）等轴双曲线__________________________________________

6、_________________________________________________________________________________________________________（七）双曲线的渐近线1.双曲线渐近线的求法_________________________________________________2.共渐近线双曲线设法_________________________________________________3.渐近线与离心率的关系______________________________________________

7、___（八）常见做法和结论：1.双曲线焦点位置不确定，如何设方程：_________________________________________________2.与共焦点的双曲线：_________________________________________________3.双曲线的切线问题以及直线与双曲线只有一个交点的判断？________________________________________________________________________