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1、特殊的平行四边形基础知识回放考点 1 特殊的平行四边形的性质与判定1矩形的定义、性质与判定（1）矩形的定义有一个角是直角的平行四边形是矩形。（2）矩形的性质矩形的对角线_；矩形的四个角都是_角。矩形具有_的一切性质。矩形是轴对称图形，对称轴有_条，矩形也是中心对称图形，对称中心为 _的交点。矩形被对角线分成了_个等腰三角形。（3）矩形的判定有一个是直角的平行四边形是矩形；有三个角是_ _的四边形是矩形；对角线 _的平行四边形是矩形。温馨提示：矩形的对角线是矩形比较常用的性质，当对角线的夹角中，有一个角为60度时，则构成一个等边三角形；在判定矩形时，要注意利用定义或对角线来判定时，必须先证明此四
2、边形为平行四边形，然后再请一个角为直角或对角线相等。很多同学容易忽视这个问题。2菱形的定义、性质与判定（1）菱形的定义有一组邻边相等的平行四边形是菱形。（2）菱形的性质菱形的 _都相等；菱形的对角线互相_，并且每一条对角线_11 _一组对角；菱形也具有平行四边形的一切性质。菱形即是轴对称图形也是中心对称图形，对称轴有 _12 _条。（3）菱形的面积菱形的面积=底高，菱形的面积=21ab，其中 a，b 分别为菱形两条对角线的长。菱形被对角线分成了4 个全等的直角三角形。（4）菱形的判定：_13 _都相等的四边形是菱形；对角线_14 _的平行四边形是菱形；有一组邻边相等的平行四边形是菱形。温馨提示
3、：在利用菱形的判定时，也要注意所要证明的四边形是不是平行四边形，而你用的判定定理需不需要证明它是平行四边形，有对角线时，通常考虑利用对角线互相垂直的平行四边形是菱形来证明，否则一般不利用此定理。3正方形的性质及判定方法（1）正方形的性质：正方形的四个角都是_15 _，四条边都_16_；正方形的两条对角线_17 _，并且互相垂直平分，每条对角线平分一组对角；正方形即是轴对称图形也是中心对称图形。正方形具有平行四边形、矩形、菱形的一切性质。（2）正方形的判定方法：有一组邻边相等的_18 _是正方形；对角线互相 _19 _的矩形是正方形；有一个角是直角的菱形是正方形；对角线_20 _的菱形是正方形。
4、温馨提示：无论是正方形的性质还是正方形的判定，它的中心思想就是正方形即是矩形，又是菱形，如果都从这个出发，则一切的性质与判定就都有了。但要注意在利用对角线判定正方形时，“平分”这个前提，因为只有对角线平分了，此四边形才是平行四边形了，然后再证明是矩形又是菱形。考点 2 梯形的概念及判定方法1梯形的定义：一组对边平行而另一组对边不平行的四边形叫做梯形。（1）等腰梯形：两腰相等的梯形叫做等腰梯形；（2）直角梯形：一腰垂直于底的梯形叫做直角梯形。在初中阶段重点研究等腰梯形。2等腰梯形的性质与判定性质：（1）等腰梯形中，同一底上的两个角相等；（2）等腰梯形的对角线相等；判定：（1）同一底上的两个角相等
5、的梯形是等腰梯形；（2）对角线相等的梯形是等腰梯形；（3）有两个腰相等的梯形是等腰梯形。3梯形中常用的辅助线：文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:
6、CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P
7、9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:
8、CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P
9、9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:
10、CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P
11、9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1梯形的辅助线分割后的图形图形示意1.平移一腰将梯形分割成一个平行四边形和一个三角形2.平移两腰将梯形分割成两个平行四边形和一个三角形3.平移对角线将梯形分割成一个平行四边形和一个三角形4.作双高将梯形分割成一个矩形形和一个三角形5.延长两腰将梯形分割
12、成两个三角形6.连接一顶点和一腰中点将梯形分割成一个三角形温馨提示：在涉及梯形的题目中，通常要添加辅助线，把梯形问题转化为三角形或平行四边形题，然后再利用这两种图形的性质解题，所以掌握常用的辅助线对解决梯形问题，至关重要，所以平时同学们要注意搜集或留意辅助线的作法，使它们变成自己的东西。中考热点难点突破例 1：如图，菱形ABCD中，B60，AB2，E、F 分别是 BC、CD的中点，连接AE、EF、AF，则 AEF的周长为（）A32 B33 C34 D3 分析：正确的作出辅助线是解决本题的关键，而辅助线的添加，主要是由菱形的性质：边相等，以及特殊角的度数所引发，想构成等例 1 题图文档编码:CW
13、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
14、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
15、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
16、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
17、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
18、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
19、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1边三角形的思路而作。这也是与我们平时的积累分不开的。解：本题考查了菱形的有关性质、勾股定理、等腰三角形、等边三角形以及三角形全等等知识，题目不是很难，但综合性较强.连接 AC.因为四边形ABCD是菱形，所以AB=BC.又因为 B 60，所以 ABC是等边三角形.因为 E是 BC的中点,所以 AE BC.同理，AFCD.易证得 ABE ADE，所以AE=AF.因为AB CD
20、，B 60，所以 C=120.又因为CE=CF，所以 CEF=30，所以 AEF=60，所以 AEF是等边三角形.由勾股定理得AE=3，所以 AEF的周长为33.故应选 B.例 2：如图，把矩形ABCD沿EF对折后使两部分重合，若150，则AEF=（）A110 B115 C120 D 130分析：本题以折叠问题为背景，主要考查了平角（或互余）、矩形以及平行线的性质。很多同学会把此图形分开来看，而不是当做一个整体，如会想到EFB，而不会想到与EFB重合的角与1 所构成的角。解：根据折叠特征，易知BFE=（180 1）2=65，由矩形性质知AD/BC，再由平行线的性质，可得AEF=180 65=1
21、15。所以选择B.中考效能测试一、选择题（每题3 分，共 30 分）1(09 年河北)如图，在菱形ABCD 中，AB=5，BCD=120，则对角线AC 等于（）A20 B15 C 10 D 5 2（09 年广西南宁）如图，将一个长为10cm，宽为 8cm 的矩形纸片对折两次后，沿所得矩形两邻边中点的连线（虚线）剪下，再打开，得到的菱形的面积为（）A210cmB220cmC240cmD280cmB A C D 第 1 题图A B C D 第 2 题图例 2 题图文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7
22、 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1
23、T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7
24、 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1
25、T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7
26、 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1
27、T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7
28、 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A13（09 年宁波市）如图，菱形ABCD 中，对角线AC、BD 相交于点O，M、N 分别是边AB、AD 的中点，连接OM、ON、MN，则下列叙述正确的是（）A AOM 和 AON 都是等边三角形B四边形 MBON 和四边形MODN 都是菱形C四边形AMON 与四边形ABCD 是位似图形D四边形MBCO 和四边形NDCO 都是等腰梯形4.（09 年杭州市）如图，在菱形ABCD 中，A=110，E，F 分别是边AB 和 BC 的中点，EP CD 于点 P，则 FPC=（）A35B45C50D555
29、.将矩形纸片ABCD按如图所示的方式折叠，得到菱形AECF 若AB 3，则BC的长为()A 1 B2 C2 D3第 5 题图6（09 年凉山州）如图，将矩形ABCD沿对角线BD折叠，使C落在C处，BC交AD于E，则下列结论不一定成立的是（）AADBCBEBDEDBCABECBDDsinAEABEED7如图，正方形ABCD 的边长为8，M在 DC上，且 DM=2，N是 AC上一动点，则DN+MN 的最小值为（）A8 B82 C217 D10 C D CA B E 第 6 题图A D E P C B F 第 4 题图D B C A N M O 第 3 题图A B C D F E O A B C D
30、 文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR
31、2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A
32、1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR
33、2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A
34、1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR
35、2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A
36、1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A18已知等腰梯形ABCD 的中位线EF的长为 6，腰 AB的长为 5，则等腰梯形的周长为（?）A11 B16 C17 D22 9如图，ABCD 的周长是28，ABC 的周长是22，则 AC 的长为()A6 B12 C 4 D8 10（09 年孝感）如图，正方形ABCD 内有两条相交线段MN、EF，M、N、E、F 分别在边 AB、CD、AD、BC 上小明认为：
37、若MN=EF，则 MNEF；小亮认为:若 MNEF，则 MN=EF你认为A仅小明对B仅小亮对C两人都对D两人都不对二、填空题（每小题3 分，共 30 分）11（09 年甘肃庆阳）如图，菱形ABCD 的边长为10cm，DEAB，3sin5A，则这个菱形的面积=cm212(09 年南充)如图，等腰梯形ABCD 中，ADBC，6047BADBC，则梯形 ABCD 的周长是.13（09 白银市）如图，四边形ABCD 是平行四边形，使它为矩形的条件可以是14（09 年济宁市）在等腰梯形ABCD 中，ADBC,AD3cm,AB4cm,B60,则下底 BC 的长为cm.15（09 江西）如图，一活动菱形衣架
38、中，菱形的边长均为16cm，若墙上钉子间的距离16cmABBC，则1度第 10 题图D C A B 第 12 题图第 8 题图OADCB第 13 题图第 9 题图第 7 题图第 11 题文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
39、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
40、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
41、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
42、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW
43、1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q
44、7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A116.（09 年天津市）我们把依次连接任意一个四边形各边中点所得的四边形叫做中点四边形 若一个四边形ABCD的中点四边形是一个矩形，则四边形ABCD可以是17.(09年上海市
45、)在四边形ABCD中，对角线AC与BD互相平分，交点为O在不添加任何辅助线的前提下，要使四边形ABCD成为矩形，还需添加一个条件，这个条件可以是18（09 年杭州市）如果用4 个相同的长为3 宽为 1 的长方形，拼成一个大的长方形，那么这个大的长方形的周长可以是_19（09 年山东青岛市）如图边长为1的两个正方形互相重合，按住其中一个不动，将另一个绕顶点A 顺时针旋转45，则这两个正方形重叠部分的面积是20(09年陕西省)如图，在梯形 ABCD 中，DCAB，DA CB，若 AB10，DC4，tanA2，则这个梯形的面积是_三、解答题（共60 分）21(本题6 分)（09 肇庆）如图，ABCD
46、 是菱形，对角线AC 与 BD 相交于O，306ACDBD，（1）求证：ABD 是正三角形；（2）求 AC 的长（结果可保留根号）1 第 15 题图A B C A D C B CDB第 19 题图E 第 21 题图第 20 题图O D C B A 文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5
47、 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3
48、J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5
49、 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3
50、J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5 HR2Y6Z9P9Q7 ZX1M3H3J5A1文档编码:CW1T4Y4M1D5