1998(z-y)+1999(y-z)+2000(z-x)=0 1998²(z-y)+1999²(y-z)+2000²(z-x)=0求z-y的值1998(x-y)+1999(y-z)+2000(z-x)=0 1998²(x-y)+1999²(y-z)+2000²(z-x)=0求z-y的值
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1998(z-y)+1999(y-z)+2000(z-x)=0 1998²(z-y)+1999²(y-z)+2000²(z-x)=0求z-y的值
1998(x-y)+1999(y-z)+2000(z-x)=0 1998²(x-y)+1999²(y-z)+2000²(z-x)=0
求z-y的值
1998(x-y)+1999(y-z)+2000(z-x)=0 (1)
19982(x-y)+19992(y-z)+20002(z-x)=0 (2)
(1)展开化简后,得
1998x-1998y+1999y-1999z+2000z-2000x=0
-2x+y+z=0 (3)
(2)展开化简后,得
1998^2 x-1998^2 y+1999^2 y-1999^2 z+2000^2 z-2000^2 x=0
(1998^2-2000^2)x+(1999^2-1998^2)y+(2000^2-1999^2)z=0 利用平方差公式,得
-3998*2x+3997y+3999z=0 (4)
(3)两边乘3998-(4),消去x,得
3998y+3998z-(3997y+3999z)=0
z-y=0
c
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答案:0
1998(z-y)+1999(y-z)+2000(z-x)=0 1998²(z-y)+1999²(y-z)+2000²(z-x)=0求z-y的值1998(x-y)+1999(y-z)+2000(z-x)=0 1998²(x-y)+1999²(y-z)+2000²(z-x)=0求z-y的值
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解方程组:1998(x-y)+1999(y-z)+2000(z-x)=0 1998^2(x-y)+1999^2(y-z)+2000^2(z-x)=1999
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