已知y+z?xx+y?z=z+x?yy+z?x=x+y?zz+x?y=k,求k1+k2+k3的值

已知y+z?xx+y?z=z+x?yy+z?x=x+y?zz+x?y=k,求k1+k2+k3的值.
2025-05-22 04:43:24
推荐回答(1个)
回答(1):

y+z?x
x+y?z
=
z+x?y
y+z?x
=
x+y?z
z+x?y
=k,
∴k3=
y+z?x
x+y?z
?
z+x?y
y+z?x
?
x+y?z
z+x?y
=1,
∴k=1,k2=1,
则k1+k2+k3=1+1+1=3.