y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+xy+y^2=c^2,xy≥0 yz+zx+xy=0,x=y=z=0 (a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+x
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![y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+xy+y^2=c^2,xy≥0 yz+zx+xy=0,x=y=z=0 (a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+x](/uploads/image/z/3913920-0-0.jpg?t=y%5E2%2Byz%2Bz%5E2%3Da%5E2%2Cz%5E2%2Bzx%2Bx%5E2%3Db%5E2%2Cyz%2Bzx%2Bxy%3D0.%E8%AF%81%E6%98%8E%3A%28a%2Bb%2Bc%29%28a%2Bb-c%29%28a-b%2Bc%29%28a-b-c%29%3D10y%5E2%2Byz%2Bz%5E2%3Da%5E2%2Cyz%E2%89%A50+z%5E2%2Bzx%2Bx%5E2%3Db%5E2%2Czx%E2%89%A50+x%5E2%2Bxy%2By%5E2%3Dc%5E2%2Cxy%E2%89%A50+yz%2Bzx%2Bxy%3D0%2Cx%EF%BC%9Dy%EF%BC%9Dz%EF%BC%9D0+%28a%2Bb%2Bc%29%28a%2Bb-c%29%28a-b%2Bc%29%28a-b-c%29%3D0+y%5E2%2Byz%2Bz%5E2%3Da%5E2%2Cyz%E2%89%A50+z%5E2%2Bzx%2Bx%5E2%3Db%5E2%2Czx%E2%89%A50+x%5E2%2Bx)
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+xy+y^2=c^2,xy≥0 yz+zx+xy=0,x=y=z=0 (a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+x
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10
y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10
这么做对吗.
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=10y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+xy+y^2=c^2,xy≥0 yz+zx+xy=0,x=y=z=0 (a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0 z^2+zx+x^2=b^2,zx≥0 x^2+x
错.