解答:
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/b7003af33a87e9503e3a96e213385343fbf2b40a?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
解:因为AB=AC,AF⊥BC,所以F为BC的中点,BF=FC,又因为BD=EC,所以有BE=DC,DF=FE,
因为AB=AC,AF⊥BC,AF=AF,根据HL,可得△ABF≌△AFC;
AF=AF,DF=EF,AF⊥DE,根据HL,可得△ADF≌△AEF,AD=AE;
AD=AE,BD=EC,AB=AC,根据SSS可得△ABD≌△ACE;
AF=AF,DF=EF,AF⊥BC,根据HL可得△ADF≌△AEF;
AB=AC,AD=AE,BE=CD,根据SSS可得△ABE≌△ACD;所以有4对全等三角形.
故选D.