已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值
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已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值已知x-y=6,y-z=5,求x^2+y^2+z^2
已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值
已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值
已知x-y=6,y-z=5,求x^2+y^2+z^2-xy-yz-zx的值
由一直可以得到x-z=11
x^2+y^2+z^2-xy-yz-zx
=1/2{(x^2+y^2-2xy)+(x^2+z^2-2xz)+(y^2+z^2-2yz)}
=1/2[(x-y)^2+(x-z)^2+(y-z)^2]
带入x-y=6.y-z=5,x-z=11得到
原式=1/2(36+121+25)=91
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