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恒成立问题是高中数学中的重要知识点,分布在函数、数列等考点中。在高考的选择、填空和解答题中经常出现,尤其是在压轴题中屡见不鲜,带有很强的综合性,而用导数来研究恒成立问题几乎是高考命题的常见模式。下面从近几年全国各地的高考题和模拟题中试举几例来分析一下恒成立问题解决的一般规律。通常来说,恒成立问题的解决有如下两种方法:一是分离变量,将参数分离出来后,考查另一边函数的单
Constant problem is the establishment of high school mathematics in the important knowledge points, distributed in the function, series and other test centers. In the choice of college entrance examination, fill in the blanks and answer questions often appear, especially in the finale of the common, with a very strong synthesis, and the use of derivatives to study the establishment of a constant problem is almost a common model college entrance examination proposition. Here are several examples of college entrance examination questions and simulation questions from around the country in recent years to analyze the general law of constant problem-solving. In general, the solution to the problem of constant establishment has the following two methods: First, the separation of variables, the parameters separated, the test of the other side of the function of a single