第21章 导数不会?那就先学会微积分

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    旁边的沐云汐很吃惊,美眸怔怔地盯着上台的少年。
    季星宇翻页看了看题目,这是一道模拟题。
    己知函数f(X)=(X-a)lnX-Xlna+b己知f(X)有两个零点X1,X2(X1<X2)。
    (i)证明:b<alna;
    (i)证明:X1+X2+X1X2^1/2>4a
    这道题昨天他昨天做了一晚上,花了3个小时,写了四五张草稿纸都没解出来。
    这道题考的是多极值点动态偏移,函数存在多个极值点,参数变化导致极值点问距非线性变化。
    听到他要做这道题,班里数学顶尖的几人都看向他。
    他们几个人算是这个班目前数学成绩最好的,而他要做的这道题,他们知道的好像只有沐云汐一个人做了出来。
    听到顾烬真的要做这道题,台下的陆鸣心里一阵好笑。
    后面的答案都是略,他倒要看看他拿什么写出来。
    顾烬拿起粉笔,写了一句由题意可知。
    低头看了一眼题,然后点了三个点。
    严谨!
    3分钟后。
    黑板上依旧是那四个字加上那三个点。
    毕竟他也不像别人那样,提前做过一遍,现在算是现看现做。
    台下的人看他半天就写了四个字加三个点,开始忍不住小声说起来,“就这?不会卡壳了吧?”
    “哈哈………”
    “噗,我还以为多厉害呢……”
    “果然刚才是蒙的吧?”
    低声的议论和嗤笑声隐约传来。
    季星宇倒是松了一口气,看他刚刚那么自信,还真以为能写出来,他摇了摇头,接着低下头,继续研究他从图书馆借来的书。
    温书亦转头看一眼身后的沐云汐,发现她还是保持高冷,一脸淡定。
    心里冷哼,装什么!
    张相兵倒是坐在顾烬的位置上,饶有兴致地翻着他那本画了“胡子肖像”的崭新课本,并没有开口催促。
    嗒嗒嗒......
    就在班上大部分同学低下头准备做自己的事情时,顾烬动了。
    粉笔落在黑板上的声音,行云流水。
    从落笔之后就再没停顿!
    台下原本在研究题的季星宇抬起头,想看看顾烬能写出个什么东西。
    半分钟后,先前的嬉笑声沉寂了,台上的顾烬板书完一张黑板,开始写第二张。
    写得比他们台下看得还快!
    一分钟后,季星宇脸上的笑容已经凝固,甚至有些看不懂。
    2分钟后,季星宇的脸上已经没有了笑容,转而替代的,只有一脸茫然,顾烬这个解法总给他一种似曾相识的感觉,但就是看不懂啊。
    沐云汐也是扬起小脸,皱眉,顾烬的解法刚开始她还能看懂,可是到后面就越来越看不懂了。
    整个教室只剩下讲台上顾烬粉笔落在黑板上的清脆声音......
    随着顾烬最后几笔落下,将整个问题圆满回答完毕!
    他转过身,一个高抛将粉笔投进粉笔盒里。
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