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以导数为工具讨论函数的单调性、求函数的极值和最值、恒成立问题的解决、存在性问题的探究、不等式的证明等成为高考试题的重点和热点.在解决这些问题时,常常需要用到一些常用的结论,如:e~x>x,e~x≥x+1,x-1≥lnx等,利用这些结论可以对导数问题进行转化、分类,对函数值进行定量分析,从而突破难点,找到最佳的解题路径.这里对e~x≥x+1(当且仅当
Using the derivative as a tool to discuss the monotonicity of function, find the extremum and the most value of the function, the solution of constant established problems, the exploration of existential problems, the proof of inequality and so on become the focus and hot point of the entrance examination questions.In solving these problems, Some commonly used conclusions need to be used, such as: e ~ x> x, e ~ x≥x + 1, x-1≥lnx, etc. These conclusions can be used to transform and classify the derivative problem, So as to break through the difficulties and find the best solution path, where e ~ x≥x + 1 (if and only if