导数在高考数学解题中的应用研究.doc

本科毕业设计(论文) 题目：导数在高考数学解题中的应用研究 院（系） 专 业 班 级 姓 名 学 号 指导老师 2013年 06月 导数在高考数学解题中的应用研究 摘 要 导数是数学中非常重要的一个概念，它对于数学学习起到了承上启下的作用，要想充分掌握导数的概念有一定的难度。随着新课程的实施，必然在高考中体现新课程理念的的要求，考查学生的数学素养和学习能力。高考考试大纲中明确提出：按照“考查基础知识的同时，注重考查能力”的原则，将知识、能力与素质的考查融为一体，全面检测考生的数学素养。而导数就是解决很多数学问题的关键工具，在历年高考中的地位也十分重要。因此研究导数在高考数学解题中的应用也变得很有意义。本文通过对近几年的高考数学试题进行了充分的分析和研究，归类总结了一些方法，期望能够在帮助高考考生有所帮助。 关键词 导数；高考数学；研究；方法 Derivative mathematics problem solving in the entrance of Applied Research Abstract Derivative of mathematics is an important concept in mathematics study,it plays an important role.To fully grasp the concept of derivative has certain of difficulty.With the new curriculurm carried out,the requirements of the new curriculum idesa will inevitably be reflected in college entrance examination to test the students’ mathematical literacy and learning skills. According to College Entrance Examination Syllabus, it is clearly stated that the principle “To examine not only the basic knowledge bu also the ability”.Thus, the conception is established that comprehensive mathematical literacy will be tested including knowledge,ability and quality.The derivative is the key to solve the problem of many mathematical tool, his position in the calendar year the university entrance exam is also important.So study the application of derivative in the college entrance examination mathematics problem-solving has become very meaningful.This article through to the college entrance examination mathematics test question in recent years, has carried on the full analysis and research, classified summarized some methods and expected to help the university entrance exam candidates. Key words:derivative;entrance mathematics;research;methods; 目录 中文摘要 I 英文摘要 II 目录 III 1 绪 论 1 1.1引言 1 1.2国内外研究情况 1 1.2.1国外研究情况 2 1.2.2国内研究情况 2 1.3课题研究的内容 3 2 导数的基础知识 5 2.1导数的相关概念 5 2.1.1导数的概念 5 2