Question

如图,AD∥BC,DC⊥AD,AE平分∠BAD,且点E是CD的中点,EF⊥AB于点F.BC和AB之间有何关系?

Answer 1

∵AD∥BC,DC⊥AD∴∠D=∠C=90°∵AE平分∠BAD,即∠DAE=∠FAEEF⊥AB,那么∠AFE=∠D=90°AE=AE∴△AED≌△AEF(AAS)∴AD=AF,DE=EF∵E是CD中点,那么DE=CE=EF,连接BE∵∠C=∠BFE=90°CE=EF,BE=BE∴RT△BEF≌RT△BCE(HL)∴...