证明:∵ Rt△ABC中,∠A=90°,∠ABC=2∠C∴ ∠ABC = 60°,∠C = 30°又 BD是∠ABC的平分线∴ ∠DBC=∠ABD=∠ABC/2=30°∴∠C=∠DBC=30°∴BD=DC∵ Rt△ABC中,∠A=90°,∠ABD=30°∴AD=BD/2(Rt△中,30°角所对边长度...