您的位置: 首页  >  作业答案  >  其他  >  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+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

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+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

分类: 作业答案 • 2022-09-26 18:55:24
问题描述：

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.

答

错.

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