(1) 若n=1,则AP:PE= 3:5 ,FP:DP= 1:2
(2)延长DF,CB交于点G
易证△ADF∽△BGF
∵AF:FB=1:2
∴AD:GB=1:2
易证△ADP∽△EGP
设EC=x ,则BE=2x ,AD=BC=3x ,GB=6x ,GE=8x
∴AD:GB=AP:PE=3:8
(3) 当n= 1/2时,AE⊥BF.
(1) 若n=1,则AP:PE= 3:5 ,FP:DP= 1:2
(2)延长DF,CB交于点G
易证△ADF∽△BGF
∵AF:FB=1:2
∴AD:GB=1:2
易证△ADP∽△EGP
设EC=x ,则BE=2x ,AD=BC=3x ,GB=6x ,GE=8x
∴AD:GB=AP:PE=3:8
(3) 当n= 1/2时,AE⊥BF.