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这道题虽然要用到好几个知识点,转好几个弯,但正如老师所说,这是一道“简单”的练习题。

只是计算量不小,同时涉及的知识点也很多,若是不在纸上演算一番,就算是如他这样的学霸也没有把握。

更何况,大学生都是在考前几个小时战斗力才最强,这个时候,大多数是什么都不会的……

之前学霸觉得难,也是因为没有动手的缘故,拖了这么长时间,他在草稿纸上尝试了几次之后,就轻易的解了出来。

看着黑板上那三个可怜虫,尤其是那个装模作样翻书的家伙,这位学霸心中生出了无限的优越感,这种众人皆醉我独醒的感觉,别提多爽了!

看了看手腕上的电子表:“嗯,还有六分钟下课,这道题我做过一遍,一分钟就足以搞定,还是等最后三分钟再上去吧,boss,不都是最后才上场的么!”

学霸心中傲娇的想着,同时注意着几位竞争对手,另外几位学霸的动静,一旦发现什么风吹草动,他一定要第一时间站起来,冲上黑板。

这个逼,是他的,谁都别想抢着装!

与此同时,宁飞已经快速的翻看了今天老师讲的大半内容了。

其实他心态之所以这么好,主要也是因为他明白自己一个多月没有听讲了,做不出来是正常的,所以他反而不着急,耐着性子一页一页的翻着书。

当然,他也是有重点的寻找跟解题有关的线索,不然若是每个公式定理都是认真推一遍,再给他两个小时也看不完今天老师讲的内容。

很快,宁飞的目光就停留在了书中的一个很醒目的公式上:

朗格朗日中值定理:

如果函数f(x)满足:

(1)在闭区间[a,b]上连续;

(2)在开区间(a,b)内可导;

那么在开区间(a,b)内至少有一点使等式成立!

“哈哈,这不正是我需要的东西吗!”宁飞大笑一声,就看着黑板上老师的板书,一步一步的将题目条件带入等式中。

得到,arcsinb–arcsin0=根号下1-ξ2分之1乘以(b-0)!

将等式化简,得到一个ξ与b的等式,然后一个换元法,再用洛必达法则,就能求出极限了。

当然,因为涉及到反三角函数,计算过程相当复杂,并且换元计算很容易出错,但这都难不倒数学功底不错的宁飞,有了解题思路的他,一路下笔如飞。

当宁飞开始在黑板上解题时,全班所有的目光都望了过去,整个教室,只剩下粉笔在黑板上写画时笃笃笃的声音。

那位学霸看了看表,还有四分钟下课,然而,宁飞已经在写了,在宁飞写出第一个等式时,他就知道,大势已去!

他是学霸,智商很高,但他也不是没情商,这个时候肯定是不能上去的了。

这一刻,无尽的悔恨涌上心头,刚才他若是早一点上去,还有宁飞什么事?

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