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应用导数求解连续函数最值问题在高考中经常出现,其方法是通过判断函数的导函数在某个区间上的正负,确定原函数在此区间上的单调性,并进而求出相应的最值。其中含有参数的最值问题是难点,在解决问题的过程中经常需要采用分类讨论方法,因此在解题过程中要明确分类原则,做到不重不漏,才能确保问题的完整解答。
Applying Derivatives to Solve the Maximum Value of Continuous Functions In the college entrance examination, the most value problem often occurs. The method determines the monotonicity of the original function in this interval by determining the positive and negative of the derivative of the function over a certain interval, and then determines the corresponding maximum value. Among them, the most value problem with parameters is a difficult point. In the process of solving problems, it is often necessary to adopt a classification method. Therefore, it is necessary to clarify the principle of classification in the process of problem solving so as to ensure that the problem is completely solved.