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在证明某些代数问题时,若能将题中隐含的量与量之间的关系与某些几何图形的性质结合起来进行综合分析,通过数的运算去寻找图形之间的联系,灵活妙用题中所给的已知条件去构造图形,将问题化为“看得见、摸得着”的图形,从而使问题变得直观明了,浅显易懂,不但可以使复杂问题简单化,而且有利于拓宽解题思路,方法新颖别致.这种解决问题的思想即为“数形结合”思想.请看下面的例子.
In the proof of some algebra problems, if the problem can be implied by the amount of the relationship between the amount of certain geometric properties and the combination of a comprehensive analysis, through the number of operations to find the link between the graphics, Given the known conditions given in the construction of graphics, the problem into “visible, touching ” graphics, so that the problem becomes intuitive, easy to understand, not only can simplify complex issues, But also conducive to broaden the problem-solving ideas, new and unique methods.This idea is to solve the problem of “number-shape combination ” See the following example.