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涉及函数单调性的问题包括:解不等式乃至解方程、求最值、比较大小等,这些都是近年高考的热点问题.那么如何求解函数的单调性,学生往往感到困难比较大.本文总结了判断函数的单调性的几种方法(变化趋势法、复合法、定义法、导数法等),有助于学生更好地解决有关函数单调性的问题.一、变化趋势法所谓增函数即函数值随着自变量的增大而增大;减函数即函数值随着自变量的增大而减小.因此,我们可以根据函数值随自变量
Problems involving the monotonicity of functions include: solving inequalities and even solving equations, finding the best value, comparing the size, etc. These are hot issues in the recent college entrance examination. So how to solve the monotony of the function, students often feel more difficult. This article summarizes the judgment Several methods of the monotony of the function (change trend method, compound method, definition method, derivative method, etc.) help students better solve the problem of monotony of the function. First, the change trend method so-called increase function that function value As the independent variable increases, the decreasing function, that is, the function value decreases with the increase of the independent variable. Therefore, we can follow the function value with the independent variable.