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一些数学题目之间存在着本质的联系,在解题时只要将其中一个题目的解题原理、方法分析透了,其他相同类型的题目就可迎刃而解。这种异中求同的思维训练,实质上是一种培养学生运用分析、综合、抽象、概括、归纳、总结等逻辑思维来寻求事物内部规律的训练。这种训练,能提高教学效果,收到事半功倍之效。在教学中,我们可以通过把常用的解题方法适当归纳总结,达到多题一解,也可以通过变换题目中的条件达到多题一解。
Some math problems exist in the nature of the relationship between the problem-solving as long as the problem-solving principle of one of the questions, the method of analysis, and other similar types of topics can be solved. This kind of difference in thinking training is essentially a kind of train students to use the analysis, synthesis, abstraction, generalization, induction, summarize and other logical thinking to find the internal laws of things training. This kind of training can improve the teaching effect and receive more effective results. In teaching, we can summarize the commonly used problem solving methods, achieve multi-point solutions, and solve problems by changing the conditions of the questions.