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数学是一门使人精密的学科,数学的思维也是很严密的,但是在数学的思维过程中往往由于经验,以前的知识,思维定势等,会影响到问题的解决,这就需要转换思维方式,打破经验和定势,给我们一个全新的角度去探索真正的解题路径。下面举例说明解题中数学思维转换的几种方法。 一、寻根逐源 在解决数学问题时,由于思维的过程中某些环节出现遗漏或者考虑不周致使问题不能很好解决,这就需要对问题的症结所在寻根逐源,找出病因之所在,转换思维达到纠正错误的目的。
Mathematics is a sophisticated subject, and its mathematical thinking is very tight. However, in the process of mathematical thinking, it often affects the solution of problems because of experience, previous knowledge and thinking. Therefore, it is necessary to change the thinking Ways to break the experience and set a new perspective to explore the path to solve the problem. The following examples illustrate several ways to solve the mathematical thinking transformation. First, root-seeking In solving mathematical problems, due to some aspects of thinking in the process of omission or lack of consideration that the problem can not be solved, which requires the crux of the root causes of the problem, find out where the cause, Change thinking to achieve the purpose of correcting mistakes.