数学中的某些问题,从表面上看似乎与方程无关,但如果能根据问题的特点构造出一个一元二次方程,则可运用韦达定理等知识处理原问题,有时会得到问题的简便解法。本文略举数例,供参考。 例1 若m~2=m+1,n~2=n+1,且m Some problems in mathematics seem to have nothing to do with the equation on the surface, but if one can construct a quadratic equation according to the characteristics of the problem, you can use Vedic theorem and other knowledge to deal with the original problem, and sometimes you will get a simple solution to the problem. . This article gives a few examples for reference. Example 1 If m~2=m+1, n~2=n+1, and m