数与形在中学数学解题中的运用
Symbolic-graphic combination is a basic method in Mathematics. It mainly produces in Mathematics. Symbolic-graphic combination is conducive to the students to learn the knowledge and memory, can cultivate students' mathematical intuitive thinking ability, is conducive to the cultivation of students' pergent thinking ability, beneficial to the training of students' creative thinking ability. Symbolic-graphic combination is a common method in solving mathematical problems, number shape union thinking can make some abstract mathematics problems intuitive, vivid, can change the abstract thinking is the thinking in images helps to grasp the essence of mathematical problems, can help students to learn the knowledge and memory. This article from to the number of solutions and help to form the two aspects were analyzed using algebraic method, the area method solve geometry, using graphics to solve function problems, using graphics to solve equations and inequalities and structural geometry to solve the algebraic problem, from the about number shape combined with the application in the middle school mathematics for solving mathematical problems bring convenience, to develop students' creative thinking, promote the learning of mathematics knowledge. Meanwhile, after understanding the advantage of symbolic-graphic combination to solve mathematical problem, analyzing the attention of the application of this method, also the limitations of the method of number shape combination. As a teacher, we should give full play to the advantages of the combination of number and shape, at the same time, pay attention to the cultivation of students' thinking, and make it have greater progress.
毕业论文关键词：数学方法； 数形结合思想； 中学数学教学； 数学解题；
Keyword: Mathematical method；symbolic-graphic combination； Middle school mathematics teaching；mathematics problem solving
目录
一、数形结合的起源及发展史 1
二、数形结合在中学数学教学中的地位 1
三、数形结合思想在中学数学教学中的研究意义 2
四、数形结合方法在中学数学问题解决中的应用 4
4.1 以数解形 4
4.1.1利用函数解决几何的问题 4
4.1.2 利用面积法解决几何问题 5
4.2 以形助数 5
4.2.1 利用几何图形解决函数问题 5
4.2.2 利用图形解决方程和不等式问题 8
4.2.3 利用几何图形解决代数问题 8
4.2.4 利用数形结合求方程中未知常数的取值范围 9
五、在数形结合思想方法的教学过程中要注意的几个问题 10
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