$解：??(1)△CDE∽△FAE??$
$∵四邊形??ABCD??是平行四邊形$
$∴??DC//AB??$
$∴??∠D=∠EAF，????∠DCE=∠AFE??$
$∴??△CDE∽△FAE??$
$??(2)??∵點??E??是??AD??的中點$
$∴??DE=AE??$
$∵??△CDE∽△FAE??$
$∴??\frac {CD}{DE}=\frac {FA}{AE}??$
$∴??CD=AF??$
$∵四邊形??ABCD??是平行四邊形$
$∴??CD=AB??$
$∴??FB=FA+AB=2CD??$
$∵??BC=2CD??$
$∴??FB=BC??$
$∴??∠F=∠BCF??$
