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某些数学问题的解法,常常有赖于设计一个合适而又恰贴的辅助问题,辅助问题就好似一条“船”、一座“桥”,当有些问题看来不可解时,可通过设计一个辅助问题,常能把陷入困境中的思维由“此岸”载到“彼岸”,顺利解题。本文初探辅助问题的构思与设计途径。
The solution to certain mathematical problems often depends on the design of a suitable and appropriate auxiliary problem. The auxiliary problem is like a “boat” or a “bridge”. When some problems seem irresolvable, they can design a supplementary problem. Can often put troubled thinking from “this shore” to “the other shore” and solve the problem smoothly. This article explores the concept of auxiliary problems and their design approaches.