问题
选择题
在△OAB中,已知OA=4,OB=2,M为AB中点,则
|
答案
由向量加法的平行四边形法则可得,
=OM
(1 2
+OA
)OB
由向量的减法法则可得,
=AB
-OB OA
∴
•OM
=AB
(1 2
+OA
)•(OB
-OA
)OB
=
(1 2
2-OA
2)OB
=
(16-4)=61 2
故选C
在△OAB中,已知OA=4,OB=2,M为AB中点,则
|
由向量加法的平行四边形法则可得,
=OM
(1 2
+OA
)OB
由向量的减法法则可得,
=AB
-OB OA
∴
•OM
=AB
(1 2
+OA
)•(OB
-OA
)OB
=
(1 2
2-OA
2)OB
=
(16-4)=61 2
故选C