由∠A=∠DBC和∠B=∠C得△ABC∽△BDC则BC/ AB= DC /BD
同理得△ABC∽△BCD∽△DCE∽△DEF则ef/de=de/dc=cd/bc=bc/ab,
de/dc=cd/bc=bc/ab
cd/bc=bc/ab
ef=de*bc/ab=dc*(bc/ab)^2=(bc^2/ab)*(bc/ab)^2=b^4/a^3
由∠A=∠DBC和∠B=∠C得△ABC∽△BDC则BC/ AB= DC /BD
同理得△ABC∽△BCD∽△DCE∽△DEF则ef/de=de/dc=cd/bc=bc/ab,
de/dc=cd/bc=bc/ab
cd/bc=bc/ab
ef=de*bc/ab=dc*(bc/ab)^2=(bc^2/ab)*(bc/ab)^2=b^4/a^3