在rt三角形abc中,角c等于90度,角abc的平分线交ac于点d,o是ab上一点,圆o过b,d两点,分别交ab,bc于点e,f,

∵∠ABC的平分线交AC于点D,∴∠ABD = ∠DBC;∵圆O过B,D两点,∴OB,OD 为半径,设OB = OD = x∵OB = OD,∠ODB = ∠OBD = ∠ABD = ∠DBC∴OD // BC,三角形ACB 相似于三角形ADO∴OD/BC = AO/AB,OD = x,BC = 3,AB = 5,AO =...