1问题的提出今年笔者有幸参加中考阅卷.在阅卷过程中,笔者时而为学生的创新证法拍案叫绝;时而为学生犯下的种种错误扼腕叹息.感慨之余,有反思,有展望,欲将胸中垒块倾注于笔底,以期得到同仁的共鸣.题目:(2011年·徐州)如图1,在四边形ABCD中,AB=CD,BF=DEE,AE⊥BD,CF⊥BD,垂足分别为E、F.(1)求证:ΔABE≌ΔCDF;(2)若AC与BD交于点O.求证:AO=CO. 1 The proposal of the problem This year, the author has the honor to participate in the examination. During the marking process, the author sometimes screams for the student’s innovation certificate; sometimes he misunderstood all the mistakes made by the student. He is full of emotion, reflection, outlook and desire. The middle chest block is dumped at the bottom of the pen to gain sympathy from colleagues. Title: (Xuzhou, 2011) Figure 1. In quadrilateral ABCD, AB=CD, BF=DEE, AE, BD, CF, BD, foot pedal, respectively Confirmation for E, F. (1): ΔABE≌ΔCDF; (2) If AC and BD meet at point O. Proof: AO=CO.