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2022年平行四边形及特殊平行四边形含答案 .pdf

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1、平行四边形、菱形、矩形、正方形测试题一、选择题(每题 3 分，共 30 分)。1平行四边形ABCD中，A=50，则 D=（）A.40 B.50 C.130 D.不能确定2下列条件中，能判定四边形是平行四边形的是（）A.一组对边相等 B.对角线互相平分C.一组对角相等 D.对角线互相垂直3在平行四边形ABCD中，EF过对角线的交点O，若 AB=4，BC=7，OE=3，则四边形EFCD周长是（）A14 B.11 C.10 D.17 4菱形具有的性质而矩形不一定有的是()A 对角相等且互补B 对角线互相平分C 一组对边平行另一组相等D 对角线互相垂直5已知菱形的周长为40cm，两条对角线的长度比为3

2、：4，那么两条对角线的长分别为（）A6cm，8cm B.3cm，4cm C.12cm，16cm D.24cm，32cm 6 如图在矩形ABCD中，对角线AC、BD 相交于点 O，则以下说法错误的是()AAB=21AD BAC=BD C90CDABCDABCDABDAO=OC=BO=OD 7如图 5 连结正方形各边上的中点，得到的新四边形是 ()A矩形 B.正方形 C.菱形 D.平行四边形8.一矩形两对角线之间的夹角有一个是600,且这角所对的边长5cm,则对角线长为()A.5 cm B.10cm C.52cm D.无法确定9.当矩形的对角线互相垂直时,矩形变成()A.菱形 B.等腰梯形 C.正

3、方形 D.无法确定.10.如图所示，在ABCD 中，E、F 分别AB、CD 的中点，连结DE、EF、BF，则图中平行四边形共有（）A2 个B4 个C6 个D8 个二、填空题（每题3 分，共 24 分）11ABCD中,AB：BC=1：2，周长为 24cm,则 AB=_cm,AD=_cm.12已知：四边形ABCD 中，AB CD，要使四边形ABCD 为平行四边形，需要增加_，（只需填一个你认为正确的条件即可）你判断的理由是：_。13一个矩形的对角线长10cm，一边长6cm，则其周长是，面积是。14已知菱形的两条对角线的长分别是6cm和 8cm,则其周长为 ,面积为 .15正方形的对角线是2，那么边

4、长为_，周长为 _，面积为 _。16用两个全等的三角形，能拼成一个平行四边形，这样的平行四边形的周长取值最多有_个。17如图，宽为50cm 的矩形图案由10 个全等的小长方形拼成，其中一个小长方形的面积为_。图 5FABDCE18如图，矩形ABCD中，AB3，BC4，P 是边 AD 上的动点，PE AC 于点E，PF BD 于点 F，则 PE PF的值为：_。三、解答题（共46 分）19如图 9 平行四边形ABCD中，BE AC于 E，DFAC 于 F，求证：BE=DF(提示：可以用AAS定理证明：CFD AED)(6分)20 如图 8：某菱形的对角线长分别是6cm，8cm，求菱形周长和面积。

5、（6 分）22（8 分）已知四边形ABCD，仅从下列条件中任取两个加以组合，能否得到四边形ABCD是平行四边形的结论？试一试，并说明理由（至少写3 组）。AB=CD ABCD BCAD BC=AD A=C B=D 23小红的房门做好了,现要检测这房门是否成矩形,你有什么办法帮他吗?说说看.(6 分)ABCDFE12图9文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7

6、L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7

7、文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7

8、L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7

9、文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7

10、L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7

11、文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7A G E B C F D 提高训练1如

12、图，四边形ABCD是菱形，点G 是 BC延长线上一点，连接AG，分别交BD、CD于点 E、F，连接 CE（1）求证：DAE DCE；（2）当 AE2EF时，判断FG与 EF有何等量关系？并证明你的结论？2如图，在ABC中，D是 BC边的中点，E、F分别在 AD及其延长线上，CE BF，连接 BE、CF (1)求证：BDF CDE；(2)若 AB=AC，求证：四边形BFCE是菱形3(10 分)如图，在ABCD中，E、F 分别是边 AB、CD的中点，AGBD 交 CB的延长线于点G(1)求证：ADE CBF；(2)若四边形BEDF是菱形，则四边形AGBD是什么特殊四边形？请说明你的理由4已知：如图

13、14，E是正方形ABCD的对角线BD 上一点，EF BC,EG CD，垂足分别是F、G。求证：AE FG.ADC BEGF图 14 文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1

14、I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4

15、J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1

16、I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4

17、J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1

18、I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4

19、J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F75.如图 11，四边形 ABCD中，点 M，N 分别在 AB，BC上，将BMN 沿 MN 翻折，得 FMN，若MFAD，FNDC，则B=6.如图，矩形ABCD 中，AB=1，E、F 分别为 AD、CD的中点，沿BE将 ABE折叠

20、，若点 A 恰好落在 BF上，则 AD=.7.如图，矩形ABCD 中，AB=3，BC=4，点 E 是 BC 边上一点，连接AE，把 B 沿 AE 折叠，使点B 落在点 B处当 CEB为直角三角形时，BE 的长为8.探究：如图，在四边形 ABCD中，BAD=BCD=90，AB=AD,AECD于点 E若 AE=10,求四边形 ABCD的面积.应用：如图，在四边形ABCD中，ABC+ADC=180，AB=AD,AEBC于点 E.若 AE=19，BC=10,CD=6,则四边形 ABCD的面积为.9.如图，在矩形ABCD中，E、F 分别是 AB、CD上的点，AE=CF，连接 EF、BF，EF 与对角线

21、AC 交于点 O，且 BE=BF，BEF=2BAC。（1）求证：OE=OF（2）若 BC=23，求 AB的长。10.在 RtABC中，C=90，以 AC为一边向外作等边三角形ACD，点 E为 AB的中点，连结DE.（1）证明 DE CB；（2）探索 AC与 AB满足怎样的数量关系时，四边形DCBE 是平行四边形.文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A

22、2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编

23、码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A

24、2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编

25、码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A

26、2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编

27、码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F711.如图 1 所示，将一个边长为2 的正方形

28、ABCD和一个长为2、宽为 1 的长方形CEFD拼在一起，构成一个大的长方形ABEF 现将小长方形CEFD绕点 C顺时针旋转至CE FD，旋转角为a（1）当点 D恰好落在EF 边上时，求旋转角a的值；（2）如图 2，G 为 BC 中点，且0 a90，求证：GD=ED；（3）小长方形CEFD 绕点 C 顺时针旋转一周的过程中，DCD 与CBD 能否全等？若能，直接写出旋转角 a 的值；若不能说明理由12.如图 1，ABC 是等腰直角三角形，四边形ADEF是正方形，D、F 分别在AB、AC 边上，此时BD=CF，BD CF成立（1）当正方形ADEF绕点 A逆时针旋转（0 90）时，如图2，BD=C

29、F成立吗？若成立，请证明；若不成立，请说明理由（2）当正方形ADEF 绕点 A 逆时针旋转 45时，如图3，延长 BD交 CF于点 G 求证：BD CF；(3)在(2)小题的条件下,AC与 BG的交点为 M，当 AB=4，AD=时，求线段CM的长13.如图，在边长为2 的正方形ABCD中，P 为 AB 的中点，Q 为边 CD上一动点，设DQt（0t2），线段 PQ 的垂直平分线分别交边AD、BC于点 M、N，过 Q 作 QEAB于点 E，过 M 作 MFBC于点 F（1）当 t 1 时，求证：PEQ NFM；QPNMFEDCBA（第 9 题）文档编码:CY1X3B8F4J4 HQ7L8A2F8

30、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

31、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

32、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

33、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

34、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

35、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

36、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

37、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

38、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

39、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

40、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:C

41、Y1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8

42、P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7答案(1)证明：四边形 ABCD 是矩形 AB CD OAE=OCF,OEA=OFC AE=CF AEO CFO(ASA)OE=OF(2)解：连接 BO OE=OF,BE=

43、BF,OB EF,且EBO=FBO BOF=90 四边形 ABCD 是矩形，BCF=90 又 BEF=2 BAC,BEF=BAC+EOABAC=EOA,AE=OE AE=CF,OE=OF OF=CFBF=BF BOF BCF(HL)OBF=CBF CBF=FBO=OBE ABC=90 OBE=30 BEO=60 BAC=30 tan BAC=BC:ABtan30=23:ABAB=6探究：过点 A 作 AFCB,交 CB的延长线于点F.AECD，BCD 90，四边形AFCE为矩形.FAE 90.FAB BAE 90.EADBAE 90，FAB EAD.ABAD，FAED 90，AFBAED.AF

44、AE.四边形 AFCE为正方形.ABCDS四边形AFCES正方形2AE 210 100.解：当 CEB为直角三角形时，有两种情况：当点 B落在矩形内部时，如答图1 所示连结AC，在 RtABC 中，AB=3，BC=4，AC=5，B 沿 AE 折叠，使点B 落在点 B处，AB E=B=90，当CEB 为直角三角形时，只能得到EB C=90，点 A、B、C 共线，即 B 沿 AE 折叠，使点B 落在对角线AC 上的点 B处，如图，EB=EB，AB=AB=3，CB=53=2，设 BE=x，则 EB=x，CE=4 x，在 RtCEB中，EB2+CB2=CE2，x2+22=（4x）2，解得 x=，BE=

45、；当点 B落在 AD 边上时，如答图2 所示此时ABEB 为正方形，BE=AB=3 综上所述，BE 的长为或 3故答案为：或 3解：（1）证明：连结CE.点 E 为 RtACB的斜边 AB 的中点，CE=12AB=AE.ACD是等边三角形，AD=CD.在ADE与 CDE中，AD=CD,DE=DE,AE=CE,ADE CDE.ADE=CDE=30.DCB=150，EDC+DCB=180.DE CB.(2)DCB=150,若四边形 DCBE 是平行四边形，则DC BE,DCB+B=180.B=30.（1）解：长方形CEFD 绕点 C 顺时针旋转至CEF D，CD=CD=2，在 RtCED中，CD=

46、2，CE=1，CD E=30，CDEF，=30；（2）证明：G 为 BC 中点，CG=1，CG=CE，长方形CEFD 绕点 C 顺时针旋转至CEF D，D CE=DCE=90 ，CE=CE=CG，GCD=DCE=90+，在 GCD 和DCE中文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ

47、7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F

48、7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ

49、7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F

50、7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ7L8A2F8P4 ZQ9M1I4Y5F7文档编码:CY1X3B8F4J4 HQ

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