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第十三章 证勾股喜极而厥(1 / 2)

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刘琦有意要折服黄叙,以为己所用,后者提出比试算术,正中其下怀,当下欣然接受。

比别的咱还有点虚,比算术?呵呵,刘琦努力憋住笑,从小抹着泪上的奥数班可不是白念的,占着将近两千年人类文明的便宜,这要是都赢不了,从小学到高中的数学老师非得一起穿越过来掐死自己不可。

“那就请少将军听题,”见刘琦坦然应战,黄叙不知内情,面露喜色,遂朗声念道:“今有善行者行一百步,不善行者行六十步。今不善行者先行一百步,善行者追之,问几何步及之?”

黄叙念完题后,便解下腰间筹袋递去,不料刘琦摆手相拒,以食指蘸上酒水,在桌上随便划了几行自己看不懂的符号,不过几息功夫,便已报出答案:“二百五十步后可及。”

这么快,黄叙大惊失色,不甘问道:“少将军莫非做过此题?”

“也许吧,小时候做过许多差不多类型的,”脑海里浮现出奥数班的场景,刘琦如实答道。

这本就是小学奥数经典题型,当年为了参加竞赛,练到扫一眼就能报出答案,像这样还要列式运算求证,已然是大大退步了。

“看来事有凑巧,那便请少将军再听题,”黄叙深吸了一口气,又念道:“今有人持米出三关,外关三而取一,中关五而取一,内关七而取一,余米五斗。问本持米几何?”

念完题后黄叙自信满满的看着刘琦,这道题可不像刚才那道题得数整齐易算,就算是黄叙自己来持筹握算,一次也得许久,且每一步都得极为小心,但凡筹歪计乱,排放不正,都会前功尽弃。

可眼前的场面再次大出黄叙所料,刘琦又如刚才一般蘸酒而划,不过十余息,便报出了答案:“本持米十斗九升八分之三。”

黄叙面如死灰,刘琦却还在那抱怨:“这种题设计的就是用来坑人的,谁出门带米还不带个整数嘛,弄个稀奇古怪的数折腾人,你说是不,仲业。”

“咳咳咳......咳咳咳......”一旁的文聘还没来得及答话,却听黄叙发出一阵剧烈的咳嗽后,突然两眼一翻,身子往一侧歪倒了下去。

刘琦、文聘急忙上前查看,却见黄叙脸庞涨红、呼吸急促,却不顾自身安危,挣扎着从怀中抽出一团绢巾,哆哆嗦嗦递到刘琦手中,口中断断续续谓道:“此......此乃小生拙作,还请少......少将军,多多指......指点!”

刘琦满脸疑惑的将绢巾抖开,只见上面用墨线细细勾画了一副奇异的几何图案:从正方形四角往内延伸出四条直线,直接两两相汇,将原来的正方形分割成了四个相等的直角三角形以及一个正方形。在直角三角形三条长短不等的边上,分别有小小的黑字,细看之下,标注的正是勾、股、弦。

“这是什么?”旁边的文聘探头探脑看了半天,却一头雾水、丝毫不明究竟。

而刘琦在细细看后,沉默不语半晌,这才对着黄叙拱手拜道:“述远以此图论证勾股,实乃世间前所未有之大才!”

此图便是数学史上着名的勾股圆方图,后世还曾经专门发行过纪念邮票,刘琦也是偶尔有所闻。史上对此图来源多有争论,只知乃三国时人所作,具体作者却始终无定论,却不料今日被刘琦见到了作者本人。

勾股之理虽然早便已被古人所知,但纯粹是来源于对既定数据的总结和反推,只知其然不知其所以然。

而勾股圆方图乃是中国历史第一次对勾股定理进行证明,且采取的是用几何图形来证明代数中的恒定关系,可谓开世界之先河,树立了此后千年中华一脉以形证数、形数统一、代数和几何紧密结合的独特风格,西方直到数百年后才出现了与之类似思路的解析几何。

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