搜搜做题作业网图形几何证明
来源：学生作业帮 编辑：搜搜做题作业网作业帮 分类：综合作业 时间：2024/04/29 08:19:46
图形几何证明
(i) AE/EB=DA/DB；AF/FC=DA/DC；DB=DC
=> AE/EB=AF/FC
(ii) AE/EB=AF/FC => (EB+AE)/AE=(FC+AF)/AF
=>AB/AE=AC/AF => AE/AF=AB/AC=>△AEF∽△ABC
=>∠AEF=∠ABC => EF//BC
=> AE/EB=AF/FC
(ii) AE/EB=AF/FC => (EB+AE)/AE=(FC+AF)/AF
=>AB/AE=AC/AF => AE/AF=AB/AC=>△AEF∽△ABC
=>∠AEF=∠ABC => EF//BC