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一、退一步,海阔天空在数学解题时,常会有一筹莫展的时候。此时,“以退求进”就是一种很好的数学解题策略。即运用联系转化思想,将问题按适当方向后退到能看清关系或悟出解法的地步,再通过后退后相关问题的求解推知原问题的解法。所谓“退一步海阔天空”就是这个道理,也就是将一般问题特殊化,抽象问题具体化,高维问题低维化,整体问题局部化。如,案例一:不计算,直接填出得数。
First, take a step back, the brighter future When solving problems in mathematics, often can not do anything. At this point, “to withdraw into the ” is a good strategy for solving math problems. That is, using the idea of contact transformation, the problem can be retreated to the point where it can see the relationship or find out the solution in the appropriate direction, and then deduce the solution to the original problem through the solution of the related problems after the withdrawal. The so-called “take a step back from a brighter future” is the truth, that is, the specialization of general problems, the concrete realization of abstract problems, the low-dimensional high-dimensional problems and the overall localization of problems. For example, Case 1: Do not calculate, fill in the number directly.