波利亚说过 ,对于书上的定理我们不应该一开始就去记住它、运用它 ,而是要怀疑它 ,从反面去否定它 ,这样做虽常常徒劳但并非是无益的 .因为这样做的结果能使我们真正理解它 ,并由此得到许多意想不到的收获 ,远比直接运用它有益得多 .同样 ,在解题过程中一个人的思维难免出现疏 Polya said that for the theorem of the book, we should not remember it and use it from the beginning, but we must doubt it and negative it from the opposite side. This is often futile but not useless. Because of this The results can make us really understand it, and thus get many unexpected gains, it is much more beneficial than the direct use of it. Similarly, in the process of solving problems, one’s thinking is inevitable sparse