问题
选择题
已知△ABC中,点D在BC边上,且
|
答案
∵△ABC中,点D在BC边上,且
=2CD
∴DB
=CD 2 3
,CB
∵在△ABC中,
=CB
-AB AC
∴
=CD
(2 3
-AB
)AC
∵
=rCD
+sAB
,∴rAC
+sAB
=AC
(2 3
-AB
)AC
∴r=
,s=-2 3
,∴r+s=02 3
故选D
已知△ABC中,点D在BC边上,且
|
∵△ABC中,点D在BC边上,且
=2CD
∴DB
=CD 2 3
,CB
∵在△ABC中,
=CB
-AB AC
∴
=CD
(2 3
-AB
)AC
∵
=rCD
+sAB
,∴rAC
+sAB
=AC
(2 3
-AB
)AC
∴r=
,s=-2 3
,∴r+s=02 3
故选D