问题
选择题
已知点O为△ABC的外心,且|
|
答案
因为点O为△ABC的外心,且|
|=4,|AC
|=2,AB
∴
•AO
=(BC
+AP
)•PO
=BC
•AP
+BC
•PO BC
=
•AP
=BC
(1 2
+AB
)(BC
-AC
) AB
=
(|1 2
|2-|AC
|2)AB
=
(16-4)1 2
=6.
故选D.
已知点O为△ABC的外心,且|
|
因为点O为△ABC的外心,且|
|=4,|AC
|=2,AB
∴
•AO
=(BC
+AP
)•PO
=BC
•AP
+BC
•PO BC
=
•AP
=BC
(1 2
+AB
)(BC
-AC
) AB
=
(|1 2
|2-|AC
|2)AB
=
(16-4)1 2
=6.
故选D.