函数是高中数学的重要内容,它不但是高考重点考察的热点之一,而且它的思想方法贯串于高中数学的始终.函数的单调性又是函数的一条非常重要的性质,它的应用十分广泛.在解题的过程中,若能深入地挖掘潜在条件,恰当地构造出相应的单调函数,巧妙地运用该性质,将会起到画龙点睛的作用,常常会收到出奇不意的效果,达到快速简捷求解的目的.下面举例说明函数的单调性在解题中的应用,目的在于使同学们对函数的单 Function is an important part of high school mathematics, which is not only one of the hot spots in the key examinations of the college entrance examination, but also its thinking method runs through mathematics in high school all the time. The monotonicity of a function is also a very important function of a function and is widely used In the course of problem solving, if we dig out the potential conditions in depth and properly construct the corresponding monotone functions, clever use of this property will play a finishing touch, and often will receive surprising effects to achieve rapid The purpose of simple solution. The following example illustrates the monotonicity of the function in the problem-solving application, the purpose is to make students a single function