《中学生数学》2016年12期刊载了《一道考试题的多种解法》一文,作者对第(2)问介绍了九年级学生的两种解法.然而此题毕竟是八年级的期末考试题,在此对第(2)问介绍几个八年级同学可做的解法.题已知四边形ABCD是正方形,E是AB边上一点,连接DE,过点D作DF⊥DE交BC的延长线于点F,连接EF.(1)如图1,求证:DE=DF; “Secondary School Mathematics” 2016 the 12th issue of “a variety of solutions to test questions,” a text, the author of the (2) asked to introduce two solutions of ninth graders, but this question is, after all, the eighth grade final exam, Here is the (2) asked to introduce several eighth grade students can do the problem. Known quadrilateral ABCD is a square, E is a point AB edge, the connection DE, D for D Point F, connect EF. (1) As shown in Figure 1, verify: DE = DF;