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已知x/2=y/3=z/4,求x^2+2y^2+3z^2/xy+yz-zx的值初三试题
题目详情
已知x/2=y/3=z/4,求x^2+2y^2+3z^2/xy+yz-zx的值初三试题
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答案和解析
设x/2=y/3=z/4=m m≠0
那么x=2m
y=3m
z=4m
代入x^2+2y^2+3z^2/xy+yz-zx 得
(2m^2+6m^2+12m^2)/(2m*3m+3m*4m-4m*2m)
=18.4
那么x=2m
y=3m
z=4m
代入x^2+2y^2+3z^2/xy+yz-zx 得
(2m^2+6m^2+12m^2)/(2m*3m+3m*4m-4m*2m)
=18.4
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