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已知y+z分之x=z+x分之y=x+y分之z(x+y+z≠0)求x-y+z分之x+2y+z的值
人气:105 ℃ 时间:2020-05-27 21:38:29
解答
设:X/(Y+Z)=Y/(Z+X)=Z/(X+Y)=KK*(Y+Z)=XK*(Z+X)=YK*(X+Y)=ZK*(Y+Z+Z+X+X+Y)=X+Y+Z2K*(X+Y+Z)=X+Y+Z(x+y+z≠0),K=1/2,K*(Z+X)=Y,X+Z=2Yx-y+z=2Y-Y=Yx+2y+z=2Y+2Y=4Yx-y+z分之x+2y+z=4Y/Y=4
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