a/x*x-yz=b/y*y-zx=c/z*z-xy求证ax+by+cz=(x+y+z)*(a+b+c)
a/x*x-yz=b/y*y-zx=c/z*z-xy求证ax+by+cz=(x+y+z)*(a+b+c)
数学人气:451 ℃时间:2020-05-08 02:57:13
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x^2表示x²这样输入的时候方便点证明如下:设a/x^2-yz=b/y^2-zx=c/z^2-xy=k则a=k(x^2-yz)b=k(y^2-zx)c=k(z^2-xy)带入待证式子:k(x^2-yz)x+k(y^2-zx)y+k(z^2-xy)z=k(x^3+y^3+z^3-3xyz)右=k(x^...
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