题目内容
已知
=(1-t, 1-t,t),
=(2,t,t) ,t∈R,则|
-
|的最小值是______.
| a |
| b |
| a |
| b |
∵
=(1-t, 1-t,t),
=(2,t,t) ,t∈R,
∴
-
=(-1-t,1-2t,0)
∴|
-
|=
=
=
≥
.
故答案为:
.
| a |
| b |
∴
| a |
| b |
∴|
| a |
| b |
| (-1-t)2+(1-2t)2 |
=
| 5t2-2t+2 |
=
5(t-
|
≥
3
| ||
| 5 |
故答案为:
3
| ||
| 5 |
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