问题
选择题
已知A,B,C三点共线,O是这条直线外一点,设
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答案
∵A、B、C三点共线,∴
=λAC
,∴CB
- OC
=λ(OA
- OB
),OC
∴
=-λ OA
+(λ+1)OB
,即 OC
=-λa
+(λ+1)b
.c
∵m
-3a
+b
=c
,0
∴
=a 3 m
-b 1 m
,c
∴
= -λ,-3 m
=λ+1,解得 m=2,1 m
故选:C.