在列代数方程或微分方程求解物理题时,常常可以得到一些不合题意的解(例如某些负解),我们往往依靠经验或凭借感觉认为其不合理而将其舍去,而没有去考虑其可能的含义。然而,在原题的背景上,分析和考查这些不合题意的解的可能的意义,不仅可使我们对原题合理的解有更恰如其份的认识,且可使我们从中获得关于数学方法的本性的初步认识,从而减少使用数学时的盲目性。以下是一些实例,有些很 When solving algebraic equations or differential equations to solve physical problems, you can often get some unresolved solutions (such as some negative solutions), we often rely on experience or rely on feeling that it is not reasonable and put it down without considering Its possible meaning. However, on the background of the original question, analyzing and examining the possible meanings of these non-problematic solutions not only allows us to have a more proper understanding of the reasonable solution of the original problem, but also allows us to obtain mathematical methods from it. The initial understanding of nature, thereby reducing the blindness when using mathematics. Here are some examples, some are very