如图,▱ABCD中,E是CD中点,AE与对角线BD交于G,AE的延长线交BC的延长线于F,则DG:BG=______,△CEF与△ABF周长比为______,△DEG与△CEF的面积比为______.
(1)∵四边形ABCD是平行四边形,∴CD∥AB,CD=AB;∴△DEG∽△BAG;∴DGBC=EGAG=DEAB=12;(2)∵CE∥AB,且CE=DE=12AB,∴△FEC∽△FAB,得C△CEFC△ABF=CEAB=12;(3)∵AD∥CF,∴∠EAD=∠F,∠EDA=∠FCE;又∵D...