牛顿曾经说过:“反证法是数学家最精当的武器之一”。反证法是我们学习数学经常能够遇到的一种间接的证明方法,很多问题从正面解答很难,但若从问题的反面着手却很容易解决。现在在高中生群体中反证法的运用并不理想,原因在于反证法需要较好的逆向思维,而现在学生一般缺乏这种思维,故使得反证法运用成为数学学习中的一个难点。 Newton once said: “The law of proof is one of the most sophisticated weapons for mathematicians.” Proof-of-evidence is an indirect method of proof that we often encounter when we learn mathematics. Many of them are difficult to answer from the front, but they are easy to solve from the opposite of the problem. Nowadays, the use of counter-notarial law in high school students is not ideal. The reason is that counter-proof law needs better reverse thinking. Nowadays, students generally lack such thinking. Therefore, the use of counter-proof law has become a difficult point in mathematical study.