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从近年各地高考试题来看,涉及函数零点的问题主要有以下题型:1.确定零点所在区间问题;2.确定零点个数问题;3.已知零点存在情况,求参数取值问题.下面以高考试题为例说明函数零点问题的常用解决思路与方法.一、直接求解方程,确定函数零点如果方程f(x)=0能够求解,则直接解方程就可以求出函数的零点.这种方法一般适用于比较简单的函数零点问题.例1(2013年湖南高考)设函数f(x)=ax+bx-cx,其中
From all over the college entrance examination examination questions in recent years, the problems involved in the zero point of the function are mainly the following types: 1 to determine the zero interval where the problem; 2 to determine the zero number problem; 3 known zero exists, seeking the value of the parameter. Take the entrance examination questions as an example to explain the commonly used method and method of solving the zero problem of the function.First, directly solve the equation to determine the zero point of the function If the equation f (x) = 0 can be solved, then the equation can be directly solved for the zero point. The method is generally applicable to the simple function zero point problem.Example 1 (2013 Hunan Entrance Examination) set function f (x) = ax + bx-cx, where