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函数是高中数学教学的主干线,同时历年高考的重要考点。纵览最近今年高考试卷中的高考数学试卷,不难发现函数的单调性是近几年高考中的热点和难点,而导数是解决函数的单调性问题的有力工具。一、导数判断函数的单调性解决此问题的依据是:设函数f(x)在某个区间(a,b)内的导数为f’(x),那么当f’(x)取不同的值时,所对应的函数的单调性也不相同。(1)若f’(x)>0,则函数f(x)在区间(a,b)内是递增的;
Function is the backbone of high school mathematics teaching, at the same time over the years an important test center entrance. Overview of recent college entrance examination paper entrance exam math papers, it is not difficult to find the monotonic function is the college entrance examination in recent years, hot and difficult, and the derivative is to solve the monotonic function of a powerful tool. First, the derivative of the monotonicity of the function to determine the solution to this problem is based on the assumption that the function f (x) in a certain interval (a, b) of the derivative of f ’(x), then f’ (x) Value, the corresponding function monotonicity is not the same. (1) If f ’(x)> 0, the function f (x) is incremented within the interval (a, b)