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第二百二十六章 对,就是他!(1 / 2)

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咚咚!

程诺重重敲了敲黑板,面带微笑的望着讲台下数学系的众人,“我们继续讲。”

“若a与a-1都是单位根,设b是a的复共轭,有ab =|a|2= 1,(a-1)(b-1)=|a-1|2= 1。”

“可解得a =(1±√3i)/2,记α=(1+√3i)/2,β=(1-√3i)/2。”

“若a-1 = 0,则a = 1。”

“于是f(x)的根只能为0, 1,α,β, f(x+1)的根只能为-1, 0,α-1,β-1……”

一个个公式,被程诺写在黑板上。

唰唰唰!

一行又一行紧密相关的数学公式,对于清华数学系的学生,虽然称不上天书。但理解起来,也需要时间。

但程诺,却完全不给众人这个理解的时间。

在众人眼中,程诺就像是在脑子里将计算步骤写好一样。

没有任何的停顿,不见任何的犹豫,程诺一边在黑板上唰唰唰的写,一边嘴如连珠炮一样噼里啪啦的讲解着。

行云流水的动作,根本不像是一个大一的新生。而更像是一个沉浸教育事业多年的老教师。

很快,整个四块黑板,就被程诺写满了两块。

不过到此,题目依旧还未解完。

“设f(x)= c·x^m·(x-1)^n,有f(x2)= c·(x2)^m·(x2-1)^n = c·x^(2m)·(x-1)^n·(x+1)^n, f(x+1)= c·(x+1)^m·x^n。”

“代入等式得c·x^(2m)·(x-1)^n·(x+1)^n = c2·x^(m+n)·(x-1)^n·(x+1)^m。当c ≠ 0,等式成立当且仅当m = n, c = 1。故f(x)= x^m·(x-1)^m。”

最后,程诺在黑板上写出计算出来的结果。

“所以,满足条件的多项式只有0, 1和x^m·(x-1)^m!”

搞完,收工!

写完最后一笔,程诺自信的淡淡一笑,将只剩下粉笔头的粉笔愣在讲桌上。

全场,寂然无声!

啪啪啪~~!

站在讲台一侧的廖之行,满意而又赞赏的目光看向程诺,轻轻鼓掌。

啪啪啪~~!

班内数学系的学生见廖之行鼓掌,一齐不明觉厉的跟着鼓掌。当然,一人除外。

掌声响了很久,才渐渐停息。

“老师,这是我自己的解题步骤,不知道是否正确,还请老师指教。”程诺语气十分诚恳的开口。

廖之行笑眯眯的开口,“正确!完全正确!程诺同学,无论是你的解题步骤,还是最后的答案,都可以堪称完美!反正我是找不出任何的错误。”

“来,让我们再次为这位同学的表现鼓掌!”

老师发话,哪有不从!

于是,教室里再次响起啪啪啪的掌声。

程诺站在讲台上,一副手足无措,受宠若惊的样子,他连连摆手,“不用,不用,停。大家不用停……”

程诺正了正脸色,“我这只是解开了一道再也简单不过的题目而已,并不值得骄傲。”

“我相信,在座的同学们,一定早早的比我算出了这道题目,只是不好意思举手而已。”

程诺苦口婆心的开口,“不过,我还是希望,在座的诸位,能够表现的积极一点。不要扭扭捏捏,像个花姑娘一样。各位既然来到了清华,那就不应该怠惰!努力学习,才是正途!如果连上台讲题的勇气都没有,那我们如何成为一个对社会有用的栋梁之才?”

说完,程诺长叹一口气。

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