有很多种辅助线方法,按题目图2中的来做。BF'//EF ===> F'F/FC=BE/EC===> (2b+2c)/a=2/1===> b+c=a ①BG'//DG===> G'G/GC=BD/DC===> 2c/(b+a)=1/2===> b+a=4c ②①+② ===> 2b=3c ===> b:c=3:2②-① ===> 2a=5c ===> a:c=5:2因此:a:b:c=5:3:2