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...
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,x^2+xy+y^2=c^2,yz+zx+xy=0.证明:(
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