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^2
S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)
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^2
S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)