问题 填空题
(理科)已知三棱锥O-ABC中,
OA
=
a
OB
=
b
OC
=
c
,点M在OA上,且OM=2MA,N为BC中点,则
MN
=______(结果用
a
b
c
表示)
答案

由题意知

MN
=
ON
-
OM
=
1
2
OC
-
1
2
OA
+
OB

OA
=
a
OB
=
b
OC
=
c
,∴
MN
=
1
2
(
c
-
a
-
b
)

故答案为:

1
2
(
c
-
a
-
b
).

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