可证△ADM≌△DBC
∠MAC=∠ACB AM=BC
再证△AEN≌△CBE
∠NAB=∠ABC,AN=BC
∠BAC+∠ABC+∠ACB =180°
∠BAC+∠NAB+∠MAC =180°
M、N、A再一条直线
MN=AM+AN=2BC