文[1]说:“某些数学问题虽然本身不是一元二次方程的问题,但我们如果构造一个一元二次方程,然后再利用其有关性质来解,往往可以化难为易、化繁为简,收到事半功倍之效.”可惜例1选的解法设计的不好,它有更简单更自然的解法,原文中充其量展示了构造技巧而已.文[2]中例5也一样,还涉及分类讨论,甚是麻烦(另外,题目中有印刷错误,错把b+ca印成了a+ca).两文对于如何构造一元二次方程解题,对于学生理解根的判别式和根与系数的关系(韦达定理),提高解题技巧开拓思 [1] said: “Although some mathematical problems are not the problem of the quadratic equations themselves, if we construct a quadratic equation and then use the properties of the solution to solve them, we can often make it difficult and complex Jane, received a multiplier effect. ”Unfortunately, the solution selected in Example 1 design is not good, it has a simpler and more natural solution, the text at best showcasing the construction techniques only .In [2] in Example 5 is also the same Involving classification discussion, is very troublesome (in addition, the title of a printing error, the wrong b + ca printed as a + ca) .Two papers on how to construct a quadratic equation problem solving, for students to understand the root discriminant and root Relationship with Coefficients (Vedic Theorem), Improving Problem-Solving Techniques and Developing Ideas