有趣的数学【07】:牢记公式,这是数学的倚天剑
《倚天屠龙记》里面有一句话:
武林至尊,宝刀屠龙,号令天下,莫敢不从,倚天不出,谁与争锋。
意思是屠龙刀是至高无上的宝贝利器,在江湖中战无不胜独领风骚,只要倚天剑不出现,就没什么对手。
在数学中,也有类似的对照。
一个人可能很聪明,对数字有天赋,任何复杂的运算都能依靠自己大脑的算力解决,堪比电脑。不过,这种天赋不加培养引导,很有可能就是野路子。
还有一种方法,就是普通人经过训练,掌握住一些公式规律,那么他解题可能也并不比天赋高的人慢。
天赋是数学世界的屠龙宝刀,而公式,堪比数学世界的倚天剑。
下面我们来看看倚天剑的厉害:
还是老规矩,先不要急着解题,分析一下题面。
如果你对数学公式都记得很牢的话,会从这道题想到,数学里有一个三项立方和公式,表达式是这样的:
而一旦想到了这个三项立方和公式,那么,面对这道题就相当于你拿到了倚天剑,什么妖魔鬼怪来了都不在话下,一剑定乾坤。
以下就是利用倚天剑的完整解题步骤,根本不用打草稿,一步步把步骤写出来,答案自己就跃然纸上了:
我又要说了,这个做题和做人是一样的,都有基本准则。
掌握了基本准则,就相当于混江湖的古惑仔拿到了倚天剑,做题就容易,做人也轻松。
数学的倚天剑,是公式;而做人的倚天剑,是真善美。
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勘误:《笑傲江湖》应为《倚天屠龙记》
对的,现在就改,多谢!
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