2x-3y+z=0,3x-6z-2y=0,xyz≠0,求x²+y²+z²/2x+y²-z²
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2x-3y+z=0,3x-6z-2y=0,xyz≠0,求x²+y²+z²/2x+y²-z²
2x-3y+z=0,3x-6z-2y=0,xyz≠0,求x²+y²+z²/2x+y²-z²
2x-3y+z=0,3x-6z-2y=0,xyz≠0,求x²+y²+z²/2x+y²-z²
2x-3y+z=0,
3x-6z-2y=0
设 x=mz,y=nz
则 2m-3n=-1 (1)
3m-2n=6 (2)
(1)+(2)
m-n=1
代入(2)
m+2(m-n)=6
m=4,n=3
x平方+y平方+z平方/2x+y平方-z平方
=(16+9+1)/(8+9-1)
=26/16
证明 :x/(y+z)+y/(z+x)+z/(x+y)>=3/2其中 x,y,z>0
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X+y-z=6;x-3y+2z=0;3x+2y-z=4
x-y+z=0,2x+y-2z=6,3x-y-z=3求解,
{x+y-2z=-3 2x+6y+z=2 x+y+z=0
{x+y+z=0 4x+2y+z=3 9x+3y+z=6
{x+y+z=0 {4x+2y+z=3 {9x+2y+z=6
三元一次方程x-y+z=6 x+y-z=0 2x+3y+8z=33
1.{x:y:z=3:4:5 2x+3y-5z=-142.{x-y-z=-1 3x+5y+7z=11 4x-y+2z=-13.{x+y=1 x+z=0 2x+y+2z=44.{x-y+z=-3 2x-y-z=-2 -3x+y+z=-15.{x-y+z=-3 3x+y-4z=6 2x+y-z=36.{x-2y+5z=16 2x+y-5z=7 2x-y+z=38
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