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从近几年的全国卷高考情况来看,第21题是以函数与导数、方程与不等式等知识为载体的导数问题.这类试题,由于其试题新颖,综合性高,方法多样,技巧性强,所以难度往往很大,给不少学生造成了一定的心理压力.因此,如何突破这方面的内容便成了一个重要的研究课题.本文结合几道例题,给出破解“函数与导数”试题的七种非常规技巧,化陌生为熟悉,使这类问题的求解也具有一定的通性通法,极大降低解题难度.
In recent years, the national college entrance examination from the situation, the first 21 questions is based on the functions and derivatives, equations and inequalities and other knowledge as the carrier derivative of such questions, because of its new questions, comprehensive, diverse, skillful Therefore, how to break the content in this area has become an important research topic.This paper combined with a few examples, given the crack “function and derivative ”Seven kinds of unconventional skills questions, familiar with unfamiliar, so that the solution of such problems also has some generality, greatly reducing the difficulty of solving problems.