高中数学坐标系与参数方程问题探究

发布时间：2018-01-04 19:02

本文关键词：高中数学坐标系与参数方程问题探究　出处：《西北大学》2016年硕士论文　论文类型：学位论文

【摘要】：高中数学中的坐标系与参数方程问题作为一个专题,是选修内容之一,是建立在必修内容解析几何、三角函数、平面向量的基础上进行学习.每年的高考题中都会出现不同类型的题目,是相对容易的得分点,应该熟练掌握此专题.本文对近六年的高考题统计分类,进行分析解答,得到了相应的解题方法和教学建议.首先,统计2010至2015年高考题中坐标系与参数方程的所有题型和考点,总结其分布情况；然后,利用数形结合、类比、化归等思想方法对高考题中同一类型典型的题目进行分析解答,总结出解题思路与解题方法；最后,通过分析总结对教学提出建议,在教学过程中通过对教学内容顺序及课时的调整,合理安排教学；从生活实际出发,调动学生学习兴趣;改善传统讲授的教学方法,以学生自主探究为主,利用数学软件丰富教学手段使教学内容更加直观；注重数学方法在教学中的渗透,从特殊到一般掌握知识内容.并依此设计教学方案,使教师的教学重点突出,学生的学习目标明确.本文从总结解题方法到设计教学案例,旨在为学生解题和教师教学提供一定的参考,开阔教师与学生的视野,为高中数学教学尽自己的一份绵薄之力.
[Abstract]:The coordinate system and the parameter equation problem in mathematics as a subject, is one of the elective content, is to establish a trigonometric function in the required content of analytic geometry, based on the study of plane vector. Different types of questions are the annual college entrance examination, is relatively easy to score points, should have a good grasp of the the college entrance examination subject. The statistical classification of nearly six years, analyzed the answers obtained problem-solving methods and some teaching suggestions. First of all, all the questions and test statistics of college entrance examination in 2015 2010 to coordinate system and the parameter equation, the distribution of the total nodes; then, using the combination of number and shape, analogy, transformation the thought method to answer the same type of typical problems in the college entrance examination question, summarizes the ideas and methods of solving problems; finally, through analyzing and summarizing some suggestions for teaching, in the teaching process through the teaching content Order and time adjustment, reasonable arrangement of teaching; from the reality of life, to arouse the students' interest in learning; improve the teaching method of traditional teaching, to the students, using mathematical software to enrich the teaching methods to make the teaching content more intuitive; focus on mathematical methods in teaching penetration of science, from special to general knowledge and content. According to the design scheme of teaching, so that teachers focus on students, learning objectives are clear. Summarizing the problem solving method to design the teaching case, in order to provide some reference for students and teachers, teachers and students to broaden horizons, to contribute himself to the high school mathematics teaching.

【学位授予单位】：西北大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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