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1本专题综述导数与数列、不等式的综合问题是各省市高考数学命题的热点和难点,这类题涉及的知识点多,具有很强的综合性和灵活性,在高考题中以压轴题或把关题的形式出现。现对该专题做下列解读。(1)重点:会用导数解决不等式的证明,求解参数字母的取值范围,运用转化与划归、分类讨论、函数与方程、换元法、构造法、数学归纳法和放缩法等数学思想与方法,解决与数列、不等式有关的综合性问题。(2)难点:运用导数知识证明不等式时构造适当的函数;在导数解决不等式问题的基础上解决与数列
1 Summary of the topic Derivatives and numbers, the inequality of the comprehensive problem is the province and city college entrance examination mathematical hot and difficult points, such questions involve more knowledge, with a strong comprehensive and flexible, in the college entrance examination questions to the finale or The form of the question appears. The following is the interpretation of the topic. (1) Emphasis: Solving the inequality proof by derivative and solving the range of parameter letters, we use the methods of transformation and classification, classification discussion, function and equation, substitution method, construction method, mathematical induction and deflation Ideas and methods to solve the comprehensive problems related to series and inequality. (2) Difficulties: the use of derivative knowledge to prove inequalities to construct the appropriate function; solve the inequality in the derivative to solve the problem based on the sequence