数形结合在解题中的应用

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1、数形结合思想在解题中的应用摘要数形结合思想简而言之就是把数学中的“数”与数学中的“形”结合起来解决数学问题的一种数学思想.数形结合具体地说就是将抽象语言与直观图形结合起来,使抽象思维与形象思维结合起来,通过“数”与“形”之间的对应和转换来解决数学问题.数形结合思想是一种非常重要的数学解题方法,是数学学习普遍适用的方法,把知识的学习、能力的提升和智力的发展有效结合.应用“数形结合”的方法,将问题转化,不仅能简化计算过程,而且使解题的思路也变得非常明确清晰,让人一目了然.因此,将这种方法运用于中学数学的学习及教学

2、,可大大提高其效率.本文在概述数形结合思想的基础上,分析了数形结合思想在中学数学解题中的应用,主要体现在数轴问题、不等式问题、最值问题、方程根的存在性问题、求极值问题和线性规划问题等,并针对解决不同类型的题目给出详细的例题分析,然后给出了在培养学生在利用数形结合时需要注意的几个问题,最后,通过调查研究数形结合的教学现状得出结论和教学启示,以提高学生运用数形结合思想解题的能力.关键词：以形助数;以数解形;数形结合;应用daysofDrudge,illnessincreased,heChongsoonFattsa

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