(1)∵△ABC和△ADE均是等边三角形,∴AB=AC,AD=AE,∠BAC=∠DAE=60°,∴∠BAC+∠CAD=∠DAE+∠CAD,即∠BAD=∠CAE,在△ABD和△ACE中 {AB=AC ∠BAD=∠CAE AD=AE,∴BD=CE,∴AC+CD=CE.