略证:∠G=∠AEM=∠BAD=∠CAD=∠CFG,
∴CF=CG.
易知EB=CG(△EBM≌△GCM,ASA),
AE=AF,
∴AB+AC=BE-AE+CF+AF=BE+CF=2CF,
∴BE=CF=(AB+AC)/2.