一道分式计算题!x^2+y^2+z^2 ----------------- =1 且x,y,z不等于0,求证1/x +
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一道分式计算题!
x^2+y^2+z^2
----------------- =1 且x,y,z不等于0,求证1/x + 1/y +1/z=0
(x+y+z)^2
(分号不会打就凑合看看吧,还有我是初中生.)
x^2+y^2+z^2
----------------- =1 且x,y,z不等于0,求证1/x + 1/y +1/z=0
(x+y+z)^2
(分号不会打就凑合看看吧,还有我是初中生.)
(x^2+y^2+z^2)/ x+y+z)^2=1
(x^2+y^2+z^2 )/(x^2+y^2+z^2+2xy+2xz+2yz)=1
x^2+y^2+z^2=x^2+y^2+z^2+2xy+2xz+2yz
2xy+2xz+2yz=0
xy+xz+yz=0
(xy+xz+yz)/xyz=0
1/x + 1/y +1/z=0
(x^2+y^2+z^2 )/(x^2+y^2+z^2+2xy+2xz+2yz)=1
x^2+y^2+z^2=x^2+y^2+z^2+2xy+2xz+2yz
2xy+2xz+2yz=0
xy+xz+yz=0
(xy+xz+yz)/xyz=0
1/x + 1/y +1/z=0
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