问题 选择题
已知P,A,B,C是平面内四点,且
PA
+
PB
+
PC
=
AC
,那么一定有(  )
A.
PB
=2
CP
B.
CP
=2
PB
C.
AP
=2
PB
D.
PB
=2
AP
答案

PA
+
PB
+
PC
=
AC

PA
+
PB
=
AC
-
PC
=
AC
+
CP
=
AP

PB
=
AP
-
PA
=2
AP

故选D

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