如图,梯形ABCD中,AD//BC//EF,AE:EB=3:2,AD=6,BC=10,则EF= EF 两点在AB和CD上.

问题描述:

如图,梯形ABCD中,AD//BC//EF,AE:EB=3:2,AD=6,BC=10,则EF= EF 两点在AB和CD上.

EF=AD+(BC-AD)x(3/(3+2))=6+4x3/5=8.4
方法是过A点做CD的平行线,交底边BC于一点G,交EF于H,这样HF=AD,EH=BGx(3/(3+2)).