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把数字1-9填入以下括号内,使等式成立,()/()*()+()/()*()+()/()*()=1

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/17 00:20:24
把数字1-9填入以下括号内,使等式成立,()/()*()+()/()*()+()/()*()=1
注意:分子为(),分母为()*()
一共有48种做法:
1/(3*6)+7/(2*4)+5/(8*9)= 1
1/(3*6)+7/(4*2)+5/(8*9)= 1
1/(6*3)+7/(2*4)+5/(8*9)= 1
1/(6*3)+7/(4*2)+5/(8*9)= 1
7/(2*4)+1/(3*6)+5/(8*9)= 1
7/(4*2)+1/(3*6)+5/(8*9)= 1
7/(2*4)+1/(6*3)+5/(8*9)= 1
7/(4*2)+1/(6*3)+5/(8*9)= 1
7/(2*4)+5/(8*9)+1/(3*6)= 1
7/(4*2)+5/(8*9)+1/(3*6)= 1
7/(2*4)+5/(8*9)+1/(6*3)= 1
7/(4*2)+5/(8*9)+1/(6*3)= 1
1/(3*6)+5/(8*9)+7/(2*4)= 1
1/(3*6)+5/(8*9)+7/(4*2)= 1
1/(6*3)+5/(8*9)+7/(2*4)= 1
1/(6*3)+5/(8*9)+7/(4*2)= 1
5/(8*9)+1/(3*6)+7/(2*4)= 1
5/(8*9)+1/(3*6)+7/(4*2)= 1
5/(8*9)+1/(6*3)+7/(2*4)= 1
5/(8*9)+1/(6*3)+7/(4*2)= 1
5/(8*9)+7/(2*4)+1/(3*6)= 1
5/(8*9)+7/(4*2)+1/(3*6)= 1
5/(8*9)+7/(2*4)+1/(6*3)= 1
5/(8*9)+7/(4*2)+1/(6*3)= 1
1/(3*6)+7/(2*4)+5/(9*8)= 1
1/(3*6)+7/(4*2)+5/(9*8)= 1
1/(6*3)+7/(2*4)+5/(9*8)= 1
1/(6*3)+7/(4*2)+5/(9*8)= 1
7/(2*4)+1/(3*6)+5/(9*8)= 1
7/(4*2)+1/(3*6)+5/(9*8)= 1
7/(2*4)+1/(6*3)+5/(9*8)= 1
7/(4*2)+1/(6*3)+5/(9*8)= 1
7/(2*4)+5/(9*8)+1/(3*6)= 1
7/(4*2)+5/(9*8)+1/(3*6)= 1
7/(2*4)+5/(9*8)+1/(6*3)= 1
7/(4*2)+5/(9*8)+1/(6*3)= 1
1/(3*6)+5/(9*8)+7/(2*4)= 1
1/(3*6)+5/(9*8)+7/(4*2)= 1
1/(6*3)+5/(9*8)+7/(2*4)= 1
1/(6*3)+5/(9*8)+7/(4*2)= 1
5/(9*8)+1/(3*6)+7/(2*4)= 1
5/(9*8)+1/(3*6)+7/(4*2)= 1
5/(9*8)+1/(6*3)+7/(2*4)= 1
5/(9*8)+1/(6*3)+7/(4*2)= 1
5/(9*8)+7/(2*4)+1/(3*6)= 1
5/(9*8)+7/(4*2)+1/(3*6)= 1
5/(9*8)+7/(2*4)+1/(6*3)= 1
5/(9*8)+7/(4*2)+1/(6*3)= 1