X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 07:25:29
X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少

X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少
X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少

X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少
利用
a/b=c/d=e/f=(a+c+e)/(b+d+f)=(a+c)/(b+d)
X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z
(X+y+z)/(2x+2y+2z-1+1)=X+Y+Z
(x+y+z)/[2(x+y+z)]=x+y+z
x+y+z=1/2

X/Y+Z=Y/X+Z+1=Z/X+Y-1
=X+Y+Z/Y+Z+X+Z+X+Y

X+Y+Z/Y+Z+X+Z+X+Y=x+y+z时
1.X+Y+Z=0
2.Y+Z+X+Z+X+Y为1
x+y+z=1/2

设x/y+z=y/x+z+1=z/x+y-1=K则X=KY+KZ Y=KX+K+K Z=KX+KY-K令3个式子相加 X+Y+Z=2K(X+Y+Z)所以2K=1 K=1/2即x/y+z=y/x+z+1=z/x+y-1=1/2