因为ABD三点共线则向量AB、DB共线AB=2e1+ke2
DB=CB-CD=e1+3e2-(2e1+e2)=-e1+2e2
所以2e1+ke2+m(-e1+2e2)=0
(2-m)e1+(k+2m)e2=0又e1e2不共线故m=2k=-4