问题 选择题
在四面体O-ABC中,
OA
=a,
OB
=b,
OC
=c,D为BC的中点,E为AD的中点,则
OE
可表示为(用a,b、c表示).                                  (  )
A.
1
2
a+
1
4
b+
1
4
c
B.
1
2
a+
1
3
b-
1
2
c
C.
1
3
a+
1
4
b+
1
4
c
D.
1
3
a-
1
4
b+
1
4
c
答案

OE
=
OA
+
1
2
AD
=
OA
+
1
2
×
1
2
AB
+
AC

=

OA
+
1
4
×(
OB
-
OA
+
OC
-
OA
PD
.
CD
+
BC
.
AD
+
CA
.
BD

=

1
2
OA
+
1
4
OB
+
1
4
OC
=
1
2
a+
1
4
b+
1
4
c.

故选A.

单项选择题
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