∵AB/AD=BC/DE=AE/AC
∴△ABC∽△ADE
∴∠BAC=∠DAE
即∠BAD+∠DAC=∠DAC+∠EAC
∴∠BAD=∠EAC
2、
∵△ABC∽△ADE
∴∠ADE=∠ABC
∵∠ADE=∠BAD+∠ABE
∠ABC=∠ABE+∠CBE
∴∠BAE=∠CBE=∠EAC
∵AB/AD=BC/DE=AE/AC
∴△ABC∽△ADE
∴∠BAC=∠DAE
即∠BAD+∠DAC=∠DAC+∠EAC
∴∠BAD=∠EAC
2、
∵△ABC∽△ADE
∴∠ADE=∠ABC
∵∠ADE=∠BAD+∠ABE
∠ABC=∠ABE+∠CBE
∴∠BAE=∠CBE=∠EAC