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利用导数求函数的极值、最值、证明不等式问题是高考常考题型,问题求解的前提是先判断函数的单调性,而求导后求导函数的零点又是其中关键的一步,但某些导函数的零点不易求,或在我们目前所学知识范围内无法求.这时就需要我们转换策略,将问题进行等价转化.本文就其中所涉及的转化策略,引例分析,供参考.
The use of derivatives to find the extremum, the maximum value of the function, and to prove the inequality problem is a college entrance exam question type. The premise of the problem solving is to first determine the monotonicity of the function, and the zero point of the derivative function after the derivation is a key step, but a certain The zeros of some derivative functions are not easy to find, or cannot be found within the scope of our current knowledge. At this time, we need to change our strategy and convert the problem equivalence. This paper will discuss the transformation strategies involved in it, and provide examples for reference.