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在近几年全国各地的高考试卷中,函数始终是考查的重点,也是热点,且大多以压轴题的形式出现.考查的重点是函数的性质以及与之相关的范围问题、最值问题、恒成立问题、不等式的证明问题和方程的解的个数问题等.在解决这些问题时,常常需要用到以下几个指数不等式:ex>x,ex≥x+1,ex>x2(x>0),ex>13x3(x>0)等,利用这些不等式可以对问题进行转化、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
In recent years, college entrance examination papers throughout the country, the function is always the focus of the test, but also hot, and most of the questions in the form of pressure axis appears.The focus of the examination is the nature of the function and the scope of the problem, the most value, constant The problem of establishing inequality, the number of solutions of inequalities, the number of solutions of equations, etc. In solving these problems, it is often necessary to use the following exponential inequalities: ex> x, ex≥x + 1, ex> x2 (x> 0 ), ex> 13x3 (x> 0), etc. These inequalities can be used to transform and classify the problems and make quantitative analysis of the function values so as to break through the difficulties and find the best solution