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1、1 EADBCEADBCEDCBA图3图21图OHGABCDMPDECBA手拉手模型模型手拉手如图,ABC是等腰三角形、ADE是等腰三角形,AB=AC,AD=AE,BAC=DAE=。结论:BAD CAE。模型分析手拉手模型常和旋转结合,在考试中作为几何综合题目出现。模型实例例 1如图,ADC与GDB 都为等腰直角三角形,连接AG、CB,相交于点H,问:(1)AG与 CB是否相等?(2)AG与 CB之间的夹角为多少度?3在线段 AE同侧作等边 CDE(ACE120),点 P 与点 M分别是线段BE 和 AD的中点。求证:CPM 是等边三角形。名 师 归 纳 总 结|大 肚 有 容,容 学 习 困
2、 难 之 事,学 业 有 成,更 上 一 层 楼 第 1 页,共 4 页2 FECBAHDECBA热搜精练1如图,在 ABC中,AB=CB,ABC=90,F 为 AB延长线上一点,点E 在 BC上,且 AE=CF。(1)求证:BE=BF;(2)若 CAE=30,求 ACF度数。2如图,ABD与BCE都为等边三角形,连接AE与 CD,延长 AE交 CD于点 H 证明:(1)AE=DC;(2)AHD=60;(3)连接 HB,HB平分 AHC。名 师 归 纳 总 结|大 肚 有 容,容 学 习 困 难 之 事,学 业 有 成,更 上 一 层 楼 第 2 页,共 4 页文档编码:CD9S10T7F7E
3、10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9
4、T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6
5、B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9
6、W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6
7、H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码
8、:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S1
9、0T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H23 BADCPE3图BDAEC图21图PDECBA3将等腰 RtABC和等腰 RtADE按图方式放置,A=90,AD边与 AB边重合,AB=2AD=4。将 ADE绕点 A逆时针方向旋转一个角度(018
10、0),BD的延长线交 CE于 P。(1)如图,证明:BD=CE,BD CE;(2)如图,在旋转的过程中,当AD BD时,求出 CP的长。名 师 归 纳 总 结|大 肚 有 容,容 学 习 困 难 之 事,学 业 有 成,更 上 一 层 楼 第 3 页,共 4 页文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文
11、档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD
12、9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7
13、F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10
14、HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L
15、2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5
16、ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H
17、3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H24 FGHDECBA4如图,直线 AB的同一侧作 ABD和 BCE都为等边三角形,连接AE、CD,二者交点为H。求证:(1)ABE DBC;(2)AE=DC;(3)DHA=60;(4)AGB DFB;(5)EGB CFB;(6)连接 GF,GF AC;(7)连接 HB,HB平分 AHC。名 师 归 纳 总 结|大 肚 有 容,容 学 习 困 难 之 事,学 业 有 成,更 上 一 层 楼 第 4 页,共 4 页文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码
18、:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S1
19、0T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E
20、10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9
21、T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6
22、B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9
23、W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2文档编码:CD9S10T7F7E10 HG9T7L2J6B5 ZK9W2H3H6H2