数学与应用数学-构造法在中学数学解题中的应用论文VIP专享VIP免费

构 造 法 在 中 学 数 学 解 题 中 的 应 用摘 要 本文研究了构造法在中学数学解题中的应用, 并且为学生学习构造法提供建议. 在中学的学习过程中, 由于数学题目逐渐趋于复杂化, 学生们在使用传统方法时, 解题的难度变得越来越大,甚至无法得到答案. 在解决很多中学数学问题时, 经常会遇到使用传统方法无从下手的问题, 这时采取构造性思想方法从新的方向出发, 改变想法构造新的数学模型就可以迅速地揭开问题的谜底. 可以见得, 若是学生们能够熟练的使用该种方法, 可以使自己在解题的过程中事半功倍. 可是理想和现实还是天差地别的. 现实中, 学生们无法熟练的掌握构造方法, 找不到合适的构造对象, 没有足够的意识到构造法在中高考试题中的重要性. 所以针对这种情形, 本文分别从构造函数､ 构造方程､ 构造数列､ 构造几何图形( 重点是数形结合) ､ 构造对偶式几个方面, 论述了构造法在中学数学解题中的应用.关 键 词 构造法 解题 中学第 I 页The application of construction method in solving math problems in middle schoolAbstract This thesis researches the application of construction method in figuring out problems in middle school. It still gives advice for students to study construction methods. Throughout the middle school semester .As the mathematical problem became more and more difficult .The students can't get an answer when students use traditional methods. At this time, the structural thinking method is adopted to start from a new direction, change the idea and construct a new mathematical model, which can quickly uncover the mystery. It often happens that you can't get the answer by the method you learned in the book. At this time, the problem can be solved quickly by constructing a new mathematical object from a new Angle by using constructive thinking method. It can be seen that if students can expertly use this way. Can make oneself in the process that solves a problem twice the result with half the effort. But there...