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对于数学问题,有些是我们熟悉的,能直接用常规的方法解决,而有些问题则是“新面孔”,这时要求我们注意问题的形式、结构、特点、对问题进行分析,判断,在对概念,定理,公式的正确理解的基础上,对问题进行适当的转换,可以是代数与几何之间的转换,也可能是对研究对象的转换,或是对常量与变量的不同理解,通过转换可以加强对各知识的联系,拓宽我们的解题思路,提高我们的思维能力。
Some of the mathematical problems are familiar to us and can be directly solved by conventional methods. Some of the problems are “new faces.” At this time, we are required to pay attention to the form, structure, and characteristics of the problem, analyze and judge the problems, Based on the correct understanding of the concept, the theorem and the formula, the proper conversion of the problem can be the conversion between algebra and geometry, it may be the conversion of the research object or the different understanding of the constant and the variable, We can strengthen the linkages of knowledge, broaden our thinking of solving problems and improve our thinking ability.