题目内容
(文)已知向量
,
满足
•
=0,|
|=1,|
|=2,则|2
-
|=
.
a |
b |
a |
b |
a |
b |
a |
b |
6 |
6 |
分析:由向量
,
满足
•
=0,|
|=1,|
|=2,知|2
-
|2=4
2+
2-4
•
=4
2+
2=4+2=6,由此能求出|2
-
|.
a |
b |
a |
b |
a |
b |
a |
b |
a |
b |
a |
b |
a |
b |
a |
b |
解答:解析:∵向量
,
满足
•
=0,|
|=1,|
|=2,
∴|2
-
|2=(2
-
)2=4
2+
2-4
•
=4
2+
2=4+2=6,
故|2
-
|=
.
故答案为:
.
a |
b |
a |
b |
a |
b |
∴|2
a |
b |
a |
b |
a |
b |
a |
b |
a |
b |
故|2
a |
b |
6 |
故答案为:
6 |
点评:本题考查平面向量的性质及其运算,是基础题,解题时要认真审题,仔细解答.
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