问题
选择题
若等边△ABC的边长为2
|
答案
∵
=CM 1 3
+CB 1 3 CA
∴
=MA
-CA
=CM
-(CA 1 3
+CB 1 3
)=CA 2 3
- CA 1 3 CB
=MB
-CB
=CM
-(CB 1 3
+CB 1 3
) =CA 2 3
-CB 1 3 CA
∴
•MA
=(MB 2 3
-CA 1 3
) • (CB 2 3
- CB 1 3
)=CA 5 9
•CA
-CB
|2 9
|2 -CA
|2 9
|2=CB
×|5 9
| ×|CA
| ×cos60°-CB
(22 9
)2-3
(22 9
)23
=
×25 9
×23
×3
-1 2
×12-2 9
×12=2 9
-30 9
=-248 9
故选A