Question

已知AC=BC,CE=CD,试说明∠EBA=∠DAB

Answer 1

证明：∵{AC=BC,∠C=∠C,CD=CE ∴△CAD全等于△CBE ∴EB=DA 又∵AC=BC,CE=CD ∴EA=DB ∵{EA=DB.EB=DA.AB=AC ∴△DAB全等于△EBA ∴∠EBA=∠DAB