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在初中阶段,有许多的代数题,学生总是拘泥于代数求法,结果导致不是很繁杂,就是被认为超出其范围而不能求解。其实,代数与几何是有着密切联系的。在代数中若能充分联想题设与结论中的“几何背景”恰当构造图形,实施命题变更,不但能够激发学生的学习兴趣,而且往往探索出新思路,找到解题的关键,优化解题方法。它不仅对于沟通代数、三角与几何内在联系具有指导意义,而且更重要的是对于开阔学生的思路,发展学生的创造性思维,提高学生的思维品质有着重要的作用。因此本文从以下五个方面阐述数形结合的问题。
In the junior high school stage, there are many algebraic questions. Students are always constrained by the algebraic method. As a result, they are not complicated, they are considered beyond their scope and can not be solved. In fact, algebra and geometry are closely linked. In the algebra, if we can make the propositional changes and the “geometric background” properly construct the graphics and make the change of the proposition not only stimulate the students’ interest in learning, but also explore new ideas, find the key to solve the problem and optimize the solution Problem method. It is not only instructive for the communicative algebra, trigonometry and geometric intrinsics, but more importantly, it plays an important role in broadening students ’thinking, developing students’ creative thinking and improving their thinking quality. Therefore, this article elaborates on the combination of number and shape from the following five aspects.