解析几何中的参数范围问题是一类综合性强、变量多、涉及面广的题目,因而也是解析几何中的一个难点问题.在直线与双曲线的位置关系中,根据直线与双曲线的位置关系,求直线或曲线方程的参数问题是高考的重点与热点,求解此类问题,通常是转化为函数或方程问题,再采用判别式法、重要不等式或函数的单调性等方法求参数的取值范围.下面举例对此类问题作一探讨. It is also a difficult problem in analytic geometry that the problem of analytic geometry parameter range is a kind of comprehensive, variable and involving a wide range of topics.In the relationship between the straight line and the hyperbola, according to the position of the line and hyperbola Relationship, seeking straight line or curve equation parameters of the college entrance examination is the focus and hot spots, to solve such problems, usually converted to a function or equation problems, and then using the discriminant method, important inequality or monotonicity function to get the parameters Value range. Here’s an example of such issues for a discussion.