实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题,
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实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题,实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道
实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题,
实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少
这是道奥赛题,
实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题,
把x=y+根号2代入得
2y^2 + 2根号2y + 2根号2*z^2 + 1 = 0
2[y+(根号2)/2]^2 + 2根号2*Z^2 = 0
∴y+(根号2)/2=0
2根号2*z^2=0
∴y=-(根号2)/2
z=0
x=(根号2)/2
∴x+y+z=0
实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题,
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