问题
选择题
已知a=(1-t,1-t ,t), b=(2,t,t),则|b-a|的最小值是( )
A.
B.
C.
D.
答案
答案:C
分析:由 =(1-t, 1-t,t),
=(2,t,t) ,t∈R,知
-
=(-1-t,1-2t,0),所以|
-
|=
=
,由此能求出|
-
|的最小值.
解:∵=(1-t, 1-t,t),
=(2,t,t) ,t∈R,
∴-
=(-1-t,1-2t,0)
∴|-
|=
=
=
≥.
故答案为:C.