问题
选择题
若|x+y+1|与(x-y-2)2互为相反数,则(3x-y)3的值为( )
A.1
B.9
C.-9
D.27
答案
∵|x+y+1|与(x-y-2)2互为相反数,
∴|x+y+1|+(x-y-2)2=0,
∴
,x+y+1=0 x-y-2=0
解得,
,x= 1 2 y=- 3 2
∴(3x-y)3=(3×
+1 2
)3=27.3 2
故选D.
若|x+y+1|与(x-y-2)2互为相反数,则(3x-y)3的值为( )
A.1
B.9
C.-9
D.27
∵|x+y+1|与(x-y-2)2互为相反数,
∴|x+y+1|+(x-y-2)2=0,
∴
,x+y+1=0 x-y-2=0
解得,
,x= 1 2 y=- 3 2
∴(3x-y)3=(3×
+1 2
)3=27.3 2
故选D.