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第152章 解题思路(1 / 2)

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沈星辰嘀咕了一句:“假设鸡有甲只,兔子有乙只。这个可以理解。然后呢?”

陈正凡说道:“你们一起看看纸上的内容。今有雉兔同笼,上有三十五头,下有九十四足,问雉兔各几何?也就是说,甲加上乙等于三十五。这一点能理解吗?”

沈星辰思考了一下,说道:“可以理解。”

陈正凡说道:“可以理解,咱们就继续说下去。鸡腿的数量是不是就是两倍的甲,兔腿的数量是不是就是四倍的乙。这一点能够理解吗?”

沈星辰思考了片刻,点了点头。说道:“这个可以理解。”

陈正凡说道:“既然如此,那么两倍的甲,加上四倍的乙是不是就等于九十四。这个能够理解吗?”

沈星辰还在思考之中,司马独芳已经反应过来了。

司马独芳说道:“正凡兄,两倍的甲,加上四倍的乙,就是所有腿的数量。甲加上乙,就是所有头的数量。是这个意思吗?”

陈正凡说道:“司马小姐,你很聪明!你说的很对!就是这个意思。”

司马独芳说道:“虽然我已经明白了这些,但是应该如何求出甲乙分别是多少呢?我实在是看不出来应该如何解答。”

陈正凡说道:“司马小姐,不要着急。我会一步一步地教你们如何解答的。首先,我们已经得到了两个关于甲乙的等式。第一个等式,甲加上乙等于三十五。第二个等式,两倍的甲加上四倍的乙等于九十四。到了这一步,你们应该都可以理解吧。”

沈星辰说道:“理解是理解了。但是应该如何利用这两个等式解出答案呢?这两个等式都是有两个不知道的数,总不能一个一个地试吧。那也太耗时间了!”

陈正凡笑了笑,说道:“星辰兄,你放心。我一定不会让你那么辛苦的。既然这两个等式都是有两个未知的数。那么,我们只要消掉一个未知的数就可以了。”

沈星辰说道:“消掉一个未知的数?怎么消?这真的可以做到吗?”

陈正凡说道:“当然可以做到。而且很容易就可以做到!”

司马独芳赶紧说道:“正凡兄,你快说。到底是怎么做到的。”

陈正凡说道:“其实很简单。解这种题目,思维一定要打开!第一个等式是甲加上乙等于三十五,那么甲是不是等于三十五减去乙?这一点能够理解吗?”

司马独芳思考了片刻之后,说道:“正凡兄,你的意思是说。用乙的等式去替代甲的存在吗?”

陈正凡看了看司马独芳,说道:“看来你似乎已经明白了我的意图。既然如此,你可以自己试着去解开这个题目。”

司马独芳有些纠结。说道:“我自己?万一错了怎么办?”

陈正凡说道:“不要担心。一定要勇于尝试,自己掌握的才是真正属于自己的。错了也没有关系,改了就可以啊!只有做错之后,才能理解到什么是正确。司马小姐,勇敢一点!我觉得你可以成功的!”

司马独芳一咬牙,一跺脚。说道:“好吧。要是我解错了,你可不能笑话我啊。”

陈正凡微笑着说道:“司马小姐,你放心。我相信你一定可以解开的。”

司马独芳鼓起勇气,说道:“既然甲等于三十五减去乙,那么两倍的三十五减去乙加上四倍的乙等于九十四。在这个等式之中,只有一个未知数。只要解开了这个等式,就可以知道乙的数量了。正凡兄,是这样吗?”

陈正凡用赞赏的目光看着眼前的司马独芳,说道:“司马小姐,你说的很正确。你继续说下去,解出乙的数量。”

司马独芳得到了陈正凡的肯定,让司马独芳的心中也有了很大的底气。

司马独芳继续说道:“也就是说七十加上两倍的乙等于九十四。也就是说两倍的乙等于二十四。最后解得乙的数量为十二。正凡兄,是这样吗?”

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