∵漏漏AH⊥BC,DF⊥BC∴AH∥DF,∵BD平段困分∠ABC,∠BAC=90°=∠DFB=∠AHB∴AD=DF(角握搜念平分线上的点到这个角两边的距离相等)∴∠ADB=BEH(直角三角形两锐角互余)∵∠BEH=∠AHD∴∠ADB=∠ADB∴AD=AE=DF∵AH∥DF∴四边形AEFD是平行四边形∵AD=DF∴平行四边形AEFD是菱形