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1、考点十五:四边形聚焦考点温习理解一、四边形的内角和定理及外角和定理四边形的内角和定理:四边形的内角和等于360。四边形的外角和定理:四边形的外角和等于360。推论:多边形的内角和定理:n 边形的内角和等于?)2(n180;多边形的外角和定理:任意多边形的外角和等于360。二、平行四边形 1、平行四边形的概念两组对边分别平行的四边形叫做平行四边形。2、平行四边形的性质(1)平行四边形的邻角互补,对角相等。(2)平行四边形的对边平行且相等。推论:夹在两条平行线间的平行线段相等。(3)平行四边形的对角线互相平分。(4)若一直线过平行四边形两对角线的交点,则这条直线被一组对边截下的线段以对角线的交点为
2、中点,并且这两条直线二等分此平行四边形的面积。3、平行四边形的判定(1)定义:两组对边分别平行的四边形是平行四边形(2)定理 1:两组对角分别相等的四边形是平行四边形(3)定理 2:两组对边分别相等的四边形是平行四边形(4)定理 3:对角线互相平分的四边形是平行四边形(5)定理 4:一组对边平行且相等的四边形是平行四边形三、矩形 1、矩形的概念有一个角是直角的平行四边形叫做矩形。2、矩形的性质(1)具有平行四边形的一切性质(2)矩形的四个角都是直角(3)矩形的对角线相等(4)矩形是轴对称图形3、矩形的判定(1)定义:有一个角是直角的平行四边形是矩形(2)定理 1:有三个角是直角的四边形是矩形(
3、3)定理 2:对角线相等的平行四边形是矩形四、菱形 1、菱形的概念有一组邻边相等的平行四边形叫做菱形2、菱形的性质(1)具有平行四边形的一切性质(2)菱形的四条边相等(3)菱形的对角线互相垂直,并且每一条对角线平分一组对角(4)菱形是轴对称图形3、菱形的判定(1)定义:有一组邻边相等的平行四边形是菱形(2)定理 1:四边都相等的四边形是菱形(3)定理 2:对角线互相垂直的平行四边形是菱形4、菱形的面积S菱形=底边长高=两条对角线乘积的一半五、正方形 1、正方形的概念有一组邻边相等并且有一个角是直角的平行四边形叫做正方形。2、正方形的性质(1)具有平行四边形、矩形、菱形的一切性质(2)正方形的四
4、个角都是直角,四条边都相等(3)正方形的两条对角线相等,并且互相垂直平分,每一条对角线平分一组对角(4)正方形是轴对称图形,有 4 条对称轴文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10
5、M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L
6、7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8
7、M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L
8、10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T
9、8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3
10、X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2(5)正方形的一条对角线把正方形分成两个全等的等腰直角三角形,两条对角线把正方形分成四个全等的小等腰直角三角形(6)正方形的
11、一条对角线上的一点到另一条对角线的两端点的距离相等。六、梯形 1、梯形的相关概念一组对边平行而另一组对边不平行的四边形叫做梯形。2、等腰梯形的性质(1)等腰梯形的两腰相等,两底平行。(3)等腰梯形的对角线相等。(4)等腰梯形是轴对称图形,它只有一条对称轴,即两底的垂直平分线。3、等腰梯形的判定(1)定义:两腰相等的梯形是等腰梯形(2)定理:在同一底上的两个角相等的梯形是等腰梯形(3)对角线相等的梯形是等腰梯形。4、梯形中位线定理梯形中位线平行于两底,并且等于两底和的一半。名师点睛典例分类考点典例一、四边形的内角和及外角和【例 1】(2015 眉山)一个多边形的外角和是内角和的52,这个多边形的
12、边数为()A5 B 6 C7 D8【答案】C【解析】试题分析:设多边形边数为n,则52(n2)?180=360,解得:n=7,则这个多边形的边数是7,故选 C考点:多边形内角与外角【点睛】本题考查了多边形的内角和公式与外角和定理,熟记公式与定理是解题的关键【举一反三】1.(2015 广元)一个多边形的内角和是外角和的2 倍这个多边形的边数为()文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码
13、:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7
14、HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4
15、ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档
16、编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F
17、7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H
18、4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2
19、文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2A5 B 6 C7 D8【答案】B 考点:多边形内角与外角2.(2015 遂宁)一个n边形的内角和为1080,则n=【答案】8【解析】试题分析:(n2)?180=1080,解得n=8故答案为:8考点:多边形内角与外角考点典例二、平行四边形的性质与判定【例 2】(2014 辽宁省本溪市)如图,在?ABCD 中,AB=4,BC=6,B=30,则此平行四边形的面积是()A 6 B 12 C 18 D 24【答案】B.【点睛】本题考查了平行四边形的性质以及平行四边形的面积公式的运用和30 度角的直角三角形的性质:在直角三
20、角形中,30角所对的直角边等于斜边的一半文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G
21、4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:C
22、W3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB
23、4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB
24、4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码
25、:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7
26、HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2【举一反三】1.(2015辽宁营口)ABCD 中,对角线 AC与 BD交于点 O,DAC=42 o,CBD=23 o,则 COD 是().A61o B63o C65o D67o【答案】C.【解析】试题分析:AD BC,BCA
27、=DAC=42,根据三角形的外角等于和它不相邻的内角和,COD=BCO+CBO=42 23=65,故选C.考点:1.平行四边形的性质;2.三角形外角性质.2.如图,YABCD 的对角线AC与 BD相交于点O,AB AC.若 AB=4,AC=6,则 BD的长是()(A)8 (B)9 (C)10 (D)11 【答案】C 考点典例三、矩形的性质与判定【例 3】(2015湖南益阳)如图,在矩形ABCD 中,对角线AC、BD交于点 O,以下说法错误的是()文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G
28、4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:C
29、W3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB
30、4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB
31、4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码
32、:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7
33、HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4
34、ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2A.ABC=90 B.AC=BD C.OA=OB D.OA=AD【答案】D【解析】试题分析:四边形ABCD 是矩形,ABC=BCD=CDA=BAD=90,AC=BD,OA=AC,OB=BD,OA=OB,A、B、C正确,D错误考点:矩形的性质【点睛】本题考查了矩形的性质;熟练掌握矩形的性质是解决问题的关键.矩形的性质:四个角都是直角,对角线互相平分且相等;由矩形的性质容易得出结论.【举一反三】1.(2015山东泰
35、安,第23 题)(3 分)如图,在矩形ABCD中,M、N分别是边AD、BC的中点,E、F分别是线段BM、CM的中点若AB=8,AD=12,则四边形ENFM的周长为【答案】20考点:1三角形中位线定理;2勾股定理;3矩形的性质2.(2015.宁夏,第 13 题,3 分)如图,在矩形ABCD中,AB=3,BC=5,在CD上任取一点E,连接BE,将BCE沿BE折叠,使点E恰好落在AD边上的点F处,则CE的长为文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F
36、7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H
37、4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2
38、文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D
39、4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M
40、9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7
41、T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M
42、2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2【答案】35.考点:矩形的性质;折叠的性质;勾股定理.考点典例四、菱形的性质与判定【例 4】(2015 南充)如图,菱形ABCD的周长为8cm,高AE长为3cm,则对角线AC长和BD长之比为()A1:2 B 1:3 C1:2 D1:3【答案】D【解析】试题分析:如图,设AC,BD相较于点O,菱形ABCD的周长为8cm,AB=BC=2cm,高AE长为3cm,BE=22ABAE=1(cm),CE=BE=1cm,AC=AB=2cm,OA=1cm,ACBD,OB
43、=22ABOA=3(cm),BD=2OB=2 3cm,AC:BD=1:3故选 D文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4
44、F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9
45、H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T
46、2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2
47、D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10
48、M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L
49、7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2文档编码:CW3X8M2D4F7 HB4B3L10M9H4 ZB4G4T8L7T2考点:菱形的性质【点睛】本题主要考查了根据菱形的性质;勾股定理.【举一反三】1(2015 辽宁葫芦岛)(3 分)如图,在菱形ABCD中,AB=10,AC=12,则它的面积是【答案】96
50、考点:菱形的性质2.(2015辽宁丹东)在菱形ABCD 中,对角线AC,BD的长分别是6 和 8,则菱形的周长是 .【答案】20.【解析】试题分析:因为菱形的对角线垂直平分,对角线AC,BD的长分别是6 和 8,所以一半长是3 和 4,所以菱形的边长是5,所以周长是54=20.考点:菱形的性质.考点典例五、正方形的性质与判定【例 5】如图,ABCD是正方形场地,点E 在 DC的延长线上,AE与 BC相交于点F有甲、乙、丙三名同学同时从点A 出发,甲沿着ABFC 的路径行走至C,乙沿着AFE CD 的路径行走至D,丙沿着AFCD的路径行走至D若三名同学行走的速度都相同,则他们到达各自的目的地的先