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变换和构造是解数学题时常用的重要技巧,在进行变换和构造时如果不注意研究等价性,则极可能造成失错.因此,我们不光要学习掌握各种重要的变换技巧和构造方法,还应着力研究变换中可能出现的种种不等价的现象.本文谨就此问题探讨几例如下.
Transformation and construction are important techniques commonly used in solving mathematics problems. If you do not pay attention to the study of equivalence in transformation and construction, you are likely to cause mistakes. Therefore, we must not only learn and master various important transformation techniques and construction methods. It is also necessary to focus on the various unequal phenomena that may occur in the transformation. This article discusses several examples of this issue.