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纵观近几年全国高考新课程试卷来看,利用导数的相关知识来分析和解决问题已成为高考命题的一个热点.如何将导数与其它数学知识融于一体,使知识点汇于一处,探索导数的考察要求,考察题型,求解策略等.现举例说明如下,供读者参考.一、研究曲线的切线及相关问题例1设a0,f(x)=ax2+bx
Looking at the examination papers of the new college entrance examination in recent years, using the relevant knowledge of derivatives to analyze and solve problems has become a hot topic of the college entrance examination proposition. How to integrate the derivative with other mathematics knowledge and bring the knowledge points together? Exploring the requirements of the derivative inspection, examining the type of questions, solving strategies, etc. are now illustrated as examples for the reader’s reference. I. Tangent lines of the research curve and related problems Example 1 Let a0,f(x)=ax2+bx