《2022年平行四边形证明练习题 .pdf》由会员分享，可在线阅读，更多相关《2022年平行四边形证明练习题 .pdf（16页珍藏版）》请在taowenge.com淘文阁网|工程机械CAD图纸|机械工程制图|CAD装配图下载|SolidWorks_CaTia_CAD_UG_PROE_设计图分享下载上搜索。
1、平行四边形证明练习题一解答题1如图所示，已知在平行四边形ABCD 中，BE=DF 求证：DAE=BCF2在?ABCD 中，E，F 分别是 BC、AD 上的点，且BE=DF 求证：AE=CF 3如图，四边形ABCD 是平行四边形，E、F 分别是 BCAD 上的点，1=2 求证：ABE CDF4如图，已知：平行四边形ABCD 中，E 是 CD 边的中点，连接BE 并延长与AD 的延长线相交于F 点求证：BC=DF 5如图，在?ABCD 中，AC 交 BD 于点 O，点 E、点 F 分别是 OA、OC 的中点，请判断线段BE、DF 的关系，并证明你的结论6已知：如图，?ABCD 中，E、F 是对角线
2、AC 上的点，且AE=CF 求证：ABE CDF7如图，已知在?ABCD 中，过 AC 中点的直线交CD，AB 于点 E，F求证：DE=BF 8如图，在等腰梯形ABCD 中，AD BC，AB=CD=AE 四边形AECD 是平行四边形吗？为什么？9如图，E、F 是平行四边形ABCD 的对角线AC 上的两点，AE=CF 求证：DE=BF 10如图，四边形ABCD 中，AD=BC，AEBD，CFBD，垂足为 E、F，AE=CF，求证：四边形ABCD 是平行四边形11如图，在ABC 中，AD 是中线，点 E 是 AD 的中点，过 A 点作 BC 的平行线交CE 的延长线于点F，连接 BF求证：四边形A
3、FBD 是平行四边形12如图，在等腰梯形ABCD 中，AD BC，AB=DC，DEAB，AD+DC=BC 求证：（1）DE=DC；（2）DEC 是等边三角形13已知：如图，E、F 是平行四边形ABCD 的对角线AC 上的两点，AE=CF 求证：（1）ADF CBE；文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编
4、码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R
5、8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6
6、 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文
7、档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H1
8、0R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8
9、Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A
10、3（2）连接 DE、BF，试判断四边形DEBF 的形状，并说明理由14如图，平行四边形ABCD 中，点 E、F、G、H 分别在 AB、BC、CD、AD 边上且 AE=CG，AH=CF 求证：四边形EFGH 是平行四边形15如图，在平行四边形ABCD 中，E、F 是对角线AC 上的点，且AE=CF（1）猜想探究：BE 与 DF 之间的关系：_（2）请证明你的猜想16如图，E、F 是平行四边形ABCD 对角线 AC 上的两点，且BEDF求证：1=217如图，已知E，F 分别是?ABCD 的边 AB，CD 的中点求证：ED=BF 18如图，BD 是?ABCD 的对角线，ABD 的平分线 BE 交 A
11、D 于点 E，CDB 的平分线 DF 交 BC 于点 F求证：四边形 DEBF 为平行四边形19如图，在?ABCD 中，对角线AC 与 BD 交于点 O，已知点 E、F 分别为 AO、OC 的中点，证明：四边形BFDE是平行四边形文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5
12、B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D
13、6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:C
14、X4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 H
15、N5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV
16、6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码
17、:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A320如图所示，A，E，F，C 在一
18、条直线上，AE=CF，过 E，F 分别作 DEAC，BFAC，若 AB=CD，可以得到BD 平分 EF，为什么？说明理由21如图，ABC 的中线 BD、CE 交于点 O，F、G 分别是 OB、OC 的中点求证：EF=DG 且 EFDG22已知如图所示，?ABCD 的对角线AC、BD 交于 O，GH 过点 O，分别交 AD、BC 于 G、H，E、F 在 AC 上且AE=CF，求证：四边形EHFG 是平行四边形文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H
19、10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K
20、8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1
21、A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D
22、8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L
23、8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4
24、H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F
25、6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3平行四边形证明练习题参考答案与试题解析一解答题（共22 小题）1如图所示，已知在平行四边形ABCD 中，BE=DF 求证：DAE=BCF考点：平行四边形的性质；平行线的性质；全等三角形的判定与性质分析：根据平行四边形性质求出AD BC，且 AD=BC，推出 ADE=CBF，求出 DE=BF，证 ADE CBF，推出 DAE=BCF 即可解答：证明：四边形ABCD 为平行四边形，AD BC，且 AD=BC，ADE=CBF 又 BE=DF，BF=DE，在
26、 ADE 和 CBF 中，ADE CBF，DAE=BCF点评：本题考查了平行四边形性质，平行线性质，全等三角形的性质和判定的应用，关键是求出证出ADE 和 CBF 全等的三个条件，主要考查学生的推理能力2在?ABCD 中，E，F 分别是 BC、AD 上的点，且BE=DF 求证：AE=CF 考点：平行四边形的性质；全等三角形的判定与性质分析：根据平行四边形的性质得出AB=CD，B=D，根据 SAS 证出 ABE CDF 即可推出答案解答：证明：四边形ABCD 是平行四边形，AB=CD，B=D，BE=DF，ABE CDF，AE=CF 点评：本题主要考查对平行四边形的性质，全等三角形的性质和判定等知
27、识点的理解和掌握，能根据性质证出 ABE CDF 是证此题的关键3如图，四边形ABCD 是平行四边形，E、F 分别是 BCAD 上的点，1=2 文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7
28、L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H
29、4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4
30、F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5
31、B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D
32、6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:C
33、X4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3求证：ABE CDF考点：平行四边形的性质；全等三角形的判定分析：利用平行四边形的性质和题目提供的相等的角可以为证明三角
34、形全等提供足够的条件解答：证明：四边形ABCD 是平行四边形，B=D，AB=CD，在：ABE 与CDF 中，ABE CDF（ASA）点评：本题考查了平行四边形的性质及全等三角形的判定，根据平行四边形找到证明全等三角形足够的条件是解决本题的关键4如图，已知：平行四边形ABCD 中，E 是 CD 边的中点，连接BE 并延长与AD 的延长线相交于F 点求证：BC=DF 考点：平行四边形的性质；全等三角形的判定与性质分析：由四边形ABCD 是平行四边形，可得AD BC，根据平行线的性质即可求得EBC=F，C=EDF，又由 E 是 CD 边的中点，根据AAS 即可求得 EBC EFD，则问题得证解答：证
35、明：四边形ABCD 是平行四边形，AD BC，EBC=F，C=EDF，又 EC=ED，EBC EFD（AAS），BC=DF 点评：此题考查了平行四边形的性质以及全等三角形的判定与性质此题难度不大，解题的关键是要注意数形结合思想的应用5（2013?莒南县二模）如图，在?ABCD 中，AC 交 BD 于点 O，点 E、点 F 分别是 OA、OC 的中点，请判断线段BE、DF 的关系，并证明你的结论考点：平行四边形的性质；全等三角形的判定与性质文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H
36、1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6
37、D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7
38、L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H
39、4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4
40、F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5
41、B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D
42、6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3分析：根据平行四边形的性质对角线互相平分得出OA=OC，OB=OD，利用中点的意义得出OE=OF，从而利用平行四边形的判定定理“对角线互相平分的四边形是平行四边形”判定 BFDE 是平行四边形，从而得出 BE=DF，BEDF解答：解：由题意得：BE=DF，BEDF理由如下：连接 DE、BF ABCD 是平行四边形，OA=OC，OB=OD，E，F 分别是 OA，OC 的中点，OE=OF，BFDE 是平行四边形，BE=DF
43、，BEDF点评：本题考查了平行四边形的基本性质和判定定理的运用性质：平行四边形两组对边分别平行；平行四边形的两组对边分别相等；平行四边形的两组对角分别相等；平行四边形的对角线互相平分判定：两组对边分别平行的四边形是平行四边形；两组对边分别相等的四边形是平行四边形；两组对角分别相等的四边形是平行四边形；对角线互相平分的四边形是平行四边形；一组对边平行且相等的四边形是平行四边形6已知：如图，?ABCD 中，E、F 是对角线AC 上的点，且AE=CF 求证：ABE CDF考点：平行四边形的性质；平行线的性质；全等三角形的判定分析：根据平行四边形的性质得出ABDC，AB=CD，根据平行线的性质推出BA
44、C=DCF，根据 SAS 证出即可解答：证明：四边形ABCD 是平行四边形，ABDC，AB=CD，BAC=DCF，AE=CF，ABE CDF 点评：本题主要考查对平行四边形的性质，全等三角形的判定，平行线的性质等知识点的理解和掌握，能推出证 ABE CDF 的三个条件是解此题的关键7如图，已知在?ABCD 中，过 AC 中点的直线交CD，AB 于点 E，F求证：DE=BF 考点：平行四边形的性质；平行线的性质；全等三角形的判定与性质文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3
45、文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H
46、10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K
47、8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1
48、A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D
49、8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L
50、8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4H1A3文档编码:CX4F6D8H10R8 HN5B7L8K8Z6 ZV6D6H4