若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?
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若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道
若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?
若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?
若X/Y+Z=Y/Z+X=Z/X+Y=K,求K的值.请问这道题怎么写?
令x=ky+kz
y=kz+kx
z=kx+ky
相加
(x+y+z)=2k(x+y+z)
(x+y+z)(2k-1)=0
若x+y+z=0
则y+z=-x
k=x/(-x)=-1
若2k-1=0
k=1/2
所以k=-1或1/2
1/K + 1 = (X+Y+Z)/X = (X+Y+Z)/Y =(X+Y+Z)/Z
1/(1/K + 1) = X/(X+Y+Z) = Y/(X+Y+Z) = Z/(X+Y+Z)
∵ X/(X+Y+Z) + Y/(X+Y+Z) + Z/(X+Y+Z) = 1
∴ 3/(1/K + 1) = 1 , K = 1/2
(x+y-z)(x-y+z)=
x+z/y=x+y/z=y+z/x=k
x+y/z=y+z/x=z+x/y=k怎么做
X+Y+Z=?
x/y=(x+z)/(y+z)y/z=(x+y)/(x+z)
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