高等代数解题中反证法实例研究

A Case Study of Counter-Evidence in Higher Algebra Problem Solving

在数学专业中,高等代数是其中一门非常重要的基础类课程,由于在高等代数中存在各种各样的代数问题,因此,学生解决高等代数问题时,必须掌握相应的解题方法,这样才能在高等代数的学习中取得事半功倍的效果。反证法是一种非常好的解题方法,作为一种间接证明方法,强调学生对逆向逻辑思维的应用,对于某些高等代数问题来说,如果从正面难以解决时,可以通过反证法来解决。

In the mathematics major, higher algebra is one of the most important basic courses. Because of the various algebra problems in higher algebra, students must master the corresponding problem solving method in order to get twice the result with half the effort in the study of higher algebra. The counter-evidence method is an indirect proof method and a very good solution method as well, because it emphasizes students’ application of reverse logical thinking. Some high algebra problems can be solved by the counter-evidence method, if they are difficult to solve from the front.