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一般说来,函数极值点是函数单调性的分界点,利用它与端点值比较可求函数的最大值、最小值,但是我们在解一些高考题及模拟题中发现,若它的作用仅限于此的话,解题会陷入僵局.其实,极值点的化简作用还没有充分挖掘出来,即极值点不仅是单调性的分界点还是导函数的零点,利用这一等式关系可以降次、化简、证明不等式等,下面采撷几例高考题及模拟题阐述之.
In general, the extreme point of the function is the function of the monotonicity of the cut-off point, the use of its endpoint value can be obtained by comparing the maximum and minimum values, but we solve some college entrance examination questions and simulation questions found that if its role only In this case, the problem will be deadlocked.In fact, the simplification of the extreme point has not been fully tapped, that is, the extremum point is not only the monotonous demarcation point or the derivative of the zero point, the use of this equation can be reduced Times, simplifying, proving inequality, etc., the following pick several college entrance examination questions and simulation questions elaborated.