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1、名师整理精华知识点第四章图形的初步认识4.1 生活中的立体图形1.延伸就得到一条射线射线：线段向一方无限短线段：两点之间线段最线直线：两点确定一条直平面图形面：面动成体线：线动成面点：点动成线立方体的展开图球体棱锥圆锥锥体圆柱棱柱柱体立体图形基本几何图形2.立体图形的面是平的面，像这样的立体图形，又称为多面体。欧拉公式：顶点+面数-棱数=2（V+F-E）4.2 画立体图形三视图：从正面、上面、侧面（左面或右面）三个不同的方向看一个物体，然后描绘所看到的图即视图这样就把一个物体转化为平面图形。从正面看到的图形称为正视图从上面看到的图形称为俯视图从侧面看到的图形称为侧视图4.3 立体图形的表面展开
2、图多面体是由平面图形围成的立体图形，设想沿着多面体的一些棱将他剪开，可以把多面体的表面展开成一个平面图形。圆柱的侧面展开-长方形圆锥的侧面展开-扇形4.4 平面图形在多边形中，三角形是最基本的图形。每一个多边形都可以分割成N-2 个三角形（N是多边形的边数）名师整理精华知识点4.5 最基本的图形-点和线一 1 过两点有且只有一条直线2 两点之间线段最短3.把线段向一方无限延伸所形成的图形叫做射线4.把线段向两方无限延伸所形成的图形叫做直线5.把一条线段分成两条相等线段的点，叫做这条线段的中点。4.6 角1.角是由两条有公共端点的射线组成的图形。角平分线：从一个角顶点引出的一条射线，把这个角分成
3、两个相等的角，这条射线叫做这个角的平分线2 定义：角也可以看成是由一条射线绕着它的端点旋转而成的图形。射线的端点叫做角的顶点。起始位置的射线叫做角的始边，终止位置的射线叫做角的终边。一周角=二平角=四直角一周角=360一平角=180 1=601=603 同角或等角的补角相等4 同角或等角的余角相等5 定理 三角形两边的和大于第三边6 推论 三角形两边的差小于第三边7 三角形内角和定理三角形三个内角的和等于1808 推论 1 直角三角形的两个锐角互余9 推论 2 三角形的一个外角等于和它不相邻的两个内角的和10 推论 3 三角形的一个外角大于任何一个和它不相邻的内角11.角的大小比较：度量法和
4、叠合法二两直线相交所成的四个角中，有一条公共边，它们的另一边互为反向延长线，具有这种关系的两个角，互为邻补角1.两直线相交所成的四个角中，有一个公共顶点，并且一个角的两边分别是另一个角两边的反向延长线，具有这种关系的两个角，互为对顶角 对顶角的性质：对顶角相等文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档
5、编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9
6、N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K1
7、0P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN
8、1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q
9、7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW
10、9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5
11、S1B7文档编码:CW9N1D6K10P5 HN1L2H4Q7T8 ZW9L10Z5S1B7名师整理精华知识点4.7 相交线1.两直线相交所成的四个角中，如果有一个角是直角，那么就称这两条直线相互垂直.它们的交点叫做垂足垂线的性质：过一点有且只有一条直线与已知直线垂直.连接直线外一点与直线上各点的所在线段中，垂线段最短.2.直线外一点到这条直线的垂线段的长度，叫做_点到直线的距离线段 AB叫做点 A到直线 BC的垂线段它的 长度 就是点 A到直线 BC的距离3.两条直线被第三条直线所截，构成八个角，在那些没有公共顶点的角中，如果两个角分别在两条直线的同一方，并且都在第三条直线的同侧，具有这种关
12、系的一对角叫做同位角；如果两个角都在两直线之间，并且分别在第三条直线的两侧，具有这种关系的一对角叫做内错角；如果两个角都在两直线之间，但它们在第三条直线的同一旁，具有这种关系的一对角叫做_同旁内角4.8 平行线1.在同一平面内，不相交的两条直线互相平行.同一平面内的两条直线的位置关系只有相交与平行两种.2.平行公理：经过直线外一点，有且只有一条直线与这条直线平行推论：如果两条直线都与第三条直线平行，那么这两直线互相平行平行线的 判定：两条直线被第三条直线所截，如果同位角相等，那么这两条直线平行.简单说成：同位角相等两直线平行；两条直线被第三条直线所截，如果内错角相等，那么这两条直线平行.简单说
13、成：内错角相等两直线平行；两条直线被第三条直线所截，如果同旁内角互补，那么这两条直线平行.简单说成：同旁内文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文
14、档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5
15、X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X
16、10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E
17、1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1
18、O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O
19、2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1名师整理精华知识点角互补两直线平行.3.在同一平面内，如果两条直线都垂直于同一条直线，那么这两条直线_平行.4.平行线的性质：两条平行直线被第三条直线所截，同
20、位角相等.简单说成：两直线平行同位角相等.两条平行直线被第三条直线所截，内错角相等.简单说成：两直线平行.内错角相等两条平行直线被第三条直线所截，同旁内角互补.简单说成：两直线平行.同旁内角互补5.判断一件事情的语句，叫做命题.命题由题设和结论两部分组成.题设是已知事项，结论是由已知事项推出的事项命题常可以写成“如果那么”的形式，这时“如果”后接的部分是题设，“那么”后接的部分是结论.如果题设成立，那么结论一定成立.像这样的命题叫做真命题如果题设成立时，不能保证结论一定成立，像这样的命题叫做假命题.定理都是真命题.6.把一个图形整体沿某一方向移动，会得到一个新图形，图形的这种移动，叫做平移变换
21、，简称平移.图形平移的方向不一定是水平的.平移的性质：把一个图形整体平移得到的新图形与原图形的形状与大小完全相同.新图形中的每一点，都是由原图形中的某一点移动后得到的，这两个点是对应点.连接各组对应点的线段平行且相等文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X1
22、0 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1
23、文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O
24、5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2
25、X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8
26、E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V
27、1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1名师整理精华知识点熟悉以下各题：如图，,8,6,
28、10,BCAC CBcm ACcm ABcm那么点 A 到BC 的距离是 _13.6cm，点 B 到 AC 的距离是8cm，点 A、B 两点的距离是 10cm，点 C 到 AB 的距离是4.8cm.设a、b、c 为平面上三条不同直线，a)若/,/ab bc，则 a与 c 的位置关系是_平行；b)若,ab bc，则 a 与 c 的位置关系是平行；c)若/ab，bc，则 a 与 c 的位置关系是_垂直 如图，已知AB、CD、EF 相交于点O，ABCD，OG 平分 AOE，FOD 28，求COE、AOE、AOG 的度数如图，AOC与BOC是邻补角，OD、OE 分别是AOC与BOCOD 与 OE 的位
29、置关系，并说明理由ODOE如图，AB DE，试问 B、E、BCE 有什么关系解：B E BCE 过点 C 作 CFAB，则B_1_（两直线平行，内错角相等又 ABDE，ABCF，DECF（平行于同一直线的两条直线平行）E 2（两直线平行，内错角相等）B E 1 2 即 B E BCE如图，已知1 2求证：ab直线/ab，求证：12 1 2，又 2 3（对顶角相等），1 3ab（同位角相等两直文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P
30、4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X
31、7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:C
32、M1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT
33、5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF
34、3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码
35、:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3
36、HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1名师整理精华知识点线平行）ab 1 3(两直线平行，同位角相等)又 2 3（对顶角相等）1 2.阅读理解并在括号内填注理由：如图，已知ABCD，1 2，试说明EPFQ证明：ABCD，MEB MFD（两直线平行，同位角相等）又 1 2，MEB 1 MFD 2，MEPMFQEPFQ（同位角相等两直线平行）已知 DBFG EC，A 是 FG 上一点，ABD60，ACE36，AP 平分 BAC，求：BAC 的大小；PAG 的大小.,ADBC FEBC90EFBADB/EFA
37、D23/,31DGBA12.如图，已知ABC，ADBC于 D，E为AB上一点，EFBC于 F，/DGBA交 CA 于 G.求证12.,ADBC FEBC90EFBADB/EFAD23/,31DGBA12.已知：如图1=2，C=D，问 A 与 F 相等吗？试说明理由AF.1DGF（对顶角相等）又1 2 DGF 2 DBEC（同位角相等，两直线平行）DBAC（两直线平行，同位角相等）又CDDBADDFAC（内错角相等，两直线平行）AF(两直线平行,文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7
38、Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM
39、1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5
40、P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3
41、X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:
42、CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 H
43、T5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 Z
44、F3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1名师整理精华知识点第五章相交线与平行线1.两直线相交所成的四个角中，有一条公共边，它们的另一边互为反向延长线，具有这种关系的两个角，互为_.2.两直线相交所成的四个角中，有一个公共顶点，并且一个角的两边分别是另一个角两边的反向延长线，具有这种关系的两个角，互为_.对顶角的性质：_ _.3.两直线相交所成的四个角中，如果有一个角是直角，那么就称这两条直线相互_.垂线的性质：过一点 _一条直线与已知直线垂直.连接直线
45、外一点与直线上各点的所在线段中，_.4.直线外一点到这条直线的垂线段的长度，叫做_.5.两条直线被第三条直线所截，构成八个角，在那些没有公共顶点的角中，如果两个角分别在两条直线的同一方，并且都在第三条直线的同侧，具有这种关系的一对角叫做_；如果两个角都在两直线之间，并且分别在第三条直线的两侧，具有这种关系的一对角叫做_；如果两个角都在两直线之间，但它们在第三条直线的同一旁，具有这种关系的一对角叫做_.6.在同一平面内，不相交的两条直线互相_.同一平面内的两条直线的位置关系只有 _与_两种.7.平行公理：经过直线外一点，有且只有一条直线与这条直线_.推论：如果两条直线都与第三条直线平行，那么_.
46、8.平行线的判定：两条直线被第三条直线所截，如果同位角相等，那么这两条直线平行.简单说成：_.两条直线被第三条直线所截，如果内错角相等，那么这两条直线平行.简单说成：_.两条直线被第三条直线所截，如果同旁内角互补，那么这两条直线平行.简单说成：_.9.在同一平面内，如果两条直线都垂直于同一条直线，那么这两条直线_.10.平行线的性质：两条平行直线被第三条直线所截，同位角相等.简单说成：文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3
47、O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3
48、M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L
49、1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4
50、H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7Z3M8E1文档编码:CM1L1V1O5X3 HT5P4H3O2X10 ZF3X7