如果AB=AC,则|AB-AC|=|EB-EC|.题目错误.改为：AB>AC时,证明.证明：∵AB>AC∴在AB上截取AF=AC,连接EF∵AF=AC ∠FAE=∠CAE AE=AE∴△EAF≌△EAC∴FE=CE∵△BEF,BF>|BE-CE|BF=AB-AF=AB-AC∴AB-AC>|EB-EC|...