∵AD/AB=AE/AC=1/3,∴DE∥BC.∵CE/CA=CF/CB=2/3,∴EF∥AB.∴四边形DEFB是平行四边形,∴DE=BF.∵DE∥BC,∴△ADE∽△ABC,∴S△ADE/S△ABC=(AD/AB)²,∴S△ADE=1/9.∵DE∥BC,∴△ADO∽△ABF,∴DO/BF=AD/AB=1/3,∴DO/DE=1/3,∵△ADO与△ADE的高相等,∴S△ADO/S△ADE=DO/DE,∴S△ADO=1/27.