如图,在正方形ABCD中,点 E 、F是对角线BD上,且BE=EF=FD,联结AECE\CF

问题描述:

如图,在正方形ABCD中,点 E 、F是对角线BD上,且BE=EF=FD,联结AECE\CF

证明:(1)∵四边形ABCD是正方形,∴AD = CD,∠ADF =∠CDF.在△ADF和△CDF中,∵AD = CD,∠ADF =∠CDF,DF = DF,∴△ADF≌△CDF∴AF = CF(2)联结AC,AC与BD相较于点O.∵四边形ABCD是正方形,∴AC⊥BD,OA = OC,OB = O...