1.设有比例式：x/(y+z)=y/(x+z)=z/(x+y),有比例性质,得x/(y+z)=y/(x+z)=z/(x+

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1.设有比例式：x/(y+z)=y/(x+z)=z/(x+y),有比例性质,得x/(y+z)=y/(x+z)=z/(x+y)=（x+y+z)/[(y+z)+(x+z)+(x+y)]=0.5
x/(y+z)=y/(x+z)=(x-y）/[（y+z）-（x+z)]=-1,由此可得0.5=-1
试分析推理产生错误的原因

此处应用的是和比定理,但该定理的使用条件是分子（或分母）相加后不能等于零,例如说2=2/1=(-2)/(-1)=(2-2)/(1-1)=0/0就显然部队了.此题中在不确定x-y是否等于0的情况下用和比定理就会造成错误.

1.设有比例式：x/(y+z)=y/(x+z)=z/(x+y),有比例性质,得x/(y+z)=y/(x+z)=z/(x+ (x+y-z)(x-y+z)= X+Y+Z=? f(x,y,z,w)=x*(x+y)*(x+y+z)*(x+y+z+w) x y z x+y--- = --- = ---- ----y+Z z+x x+y ,求 z 的值 .求 x+y---- 已知x+y-z/z=x-y+z/y=-x+y+z/x,且xyz不等于0,求分式[(x+y)(x+z)(y+z)]/xyz 若z分之x+y+z=y分之x-y+z=x分之-x+y+z,求xyz分之(x+y)(y+z)(z+x) y+z÷x=Z+X÷y=X+Y÷z,X+Y+Z不等0求X+Y-Z÷X+Y+z值 (x+y-z)/z=(y+z-x)/x=(z+x-y)/y 求(x+y)(y+z)(z+x)/xyz x分之y+z=y分之z+x=z分之x+y(x+y+z不等于0）,求x+y+z分之x+y-z 试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y) 已知：(x+y-z)/z=(x-y+z)/y+(y+z-x)/x,且xyz≠0,求代数式[(x+y)(y+z)(x+z)