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在教学实际中对于一般情况而言,特殊情况往往比较熟悉且易于认识,因而常把特殊化作为实现化归的途径之一.然而,由于特殊情况往往涉及过多无关宏旨的枝节,从而掩盖了问题的关键,而一般情况则能避免在枝节问题上纠缠,更能明确地表达问题的本质特性.同时,由于限制条件减少,涉及范围增大,更容易引起联想,发现各种条件与结论之间的内在联系而使问题往往易于解决.因此,对很多数学问题,我们可以通过构造一般原型并对其进行分析,然后途经特殊化而获得给定问题的解决,这是数学中常用的方法.
In the teaching practice, special cases are often familiar and easy to understand for the general case, and thus specialization is often used as one of the ways to achieve naturalization.However, because special circumstances often involve too much irrelevant macro issues, thus covering up the problem , While the general case can avoid the entanglement on the branch issue and express the essential characteristics of the problem more clearly.At the same time, as the restriction conditions are reduced, the scope of the issue is more likely to cause the association and the various conditions and conclusions are found Therefore, for many mathematical problems, we can construct a general prototype and analyze it, and then through specialization to solve the given problem, which is commonly used in mathematics.