如图所示:BA⊥AC,DC⊥AC,AF=CE,BE=DF.求证;△ABE全等于△CDF,BE∥DF

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 23:51:38

如图所示:BA⊥AC,DC⊥AC,AF=CE,BE=DF.求证;△ABE全等于△CDF,BE∥DF
如图所示:BA⊥AC,DC⊥AC,AF=CE,BE=DF.求证;△ABE全等于△CDF,BE∥DF

如图所示:BA⊥AC,DC⊥AC,AF=CE,BE=DF.求证;△ABE全等于△CDF,BE∥DF
证明:
∵BA⊥AC,DC⊥AC
∴∠BAC=∠DCA=90
∵AF=CE,AE=AF+EF,CF=CE+EF
∴AE=CF
∵BE=DF
∴△ABE全等于△CDF
∴∠AEB=∠DFC
∴BE∥DF

证明:
∵BA⊥AC,DC⊥AC
∴∠BAC=∠DCA=90
∵AF=CE,AE=AF+EF,CF=CE+EF
∴AE=CF
∵BE=DF
∴△ABE全等于△CDF
∴∠AEB=∠DFC
∴BE∥DF 赞同0| 评论