三角形ADE和ABC相似,设相似比AB:AD=X,S△ABC:S△ADE=X^2,S△ABC=S△ADE*X^2S四边形DBCE=S△ABC-S△ADE=S△ADE*(X^2-1)S△ADE:S四边形DBCE=1:2,1:(X^2-1) =1:2 X= √3 AD:DB=1 :(√3 -1)