四年级数学题鸡兔同笼 小学四年级数学的鸡兔同笼应用题怎么作

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就拿孙子算经题目吧:有若干只鸡和兔同在一个笼子里,从上面数,有35个头;从下面数,有94只脚。问笼中各有几只鸡和兔
解答:
兔:94÷2-35 =12
鸡:35-12=23
求采纳哦!

鸡有两只脚,兔有四肢脚,因此可设鸡为x,兔为y;鸡跟兔共x+y只(题中已给),鸡脚跟兔脚共x+2y只(题中已给);两个未知数,两个方程式可解出。



用假设法:
假设全部是鸡,那么一共有脚:30×2=60只
比实际有的脚的数量少了:84-60=24只
这是因为把兔当成鸡,每只少算了:4-2=2只脚
所以,有兔:24÷2=12只
有鸡:30-12=18只

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