(共28张PPT)
7.2.1 平行线的概念
第7章 相交线与平行线
人教版(新教材)数学七年级下册
1.理解平行线的概念；能用三角板和直尺过已知直线外一点画这条直线的平行线；掌握平行线的基本事实：过直线外一点有且只有一条直线与这条直线平行；了解平行于同一条直线的两条直线平行.
2.经历动手操作、观察、归纳平行线的概念及平行线的基本事实的过程，提高观察归纳、动手操作、空间想象及逻辑思维能力．
3.会利用所学知识进行简单的推理，感受数学语言的简洁美，并能将学到的知识应用到生活中去，提高应用意识．
核
心
素
养
目
标
目录
CONTENT
情景引入
1
合作探究
2
典例分析
3
巩固练习
4
归纳总结
5
感受中考
6
小结梳理
7
布置作业
8
复习引入
问题1 在7.1中，我们学习了一条直线与另一条直线相交，一条直线分别与两条直线相交的情形.同学们都认识了哪些角呢？
对顶角，邻补角
同位角，内错角和同旁内角
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 复习引入
问题2 如果我们把线段AB，CD，EF想象成在同一平面内向两端无限延伸的三条直线，它们可以形成几个交点呢？
交点的个数一定是3个吗？
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 合作探究
探究1 如图，将两根木条a，b分别与木条c钉在一起，并把它们想象成在同一平面内向两端无限延伸的三条直线，固定木条b和c，转动木条a，直线a从在c的左侧与直线b相交逐步变为在c的右侧与直线b相交.想象一下，在这个过程中，有没有直线a与直线b不相交的位置呢？
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 合作探究
平行线
在同一平面内，当直线a，b不相交时，我们说直线a与b互相平行，记作a∥b.
答：相交与平行.
在同一平面内，不重合的两条直线有几种位置关系？
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 合作探究
问题3 在实际生活中，平行线随处可见.你能举出一些例子吗？
合作探究
探究2 借助直尺和三角尺，你能画出直线a的平行线吗？
放
靠
推
画
b
合作探究
问题4 如图，过点B画直线a的平行线，能画出几条？过点C呢？
答：过点B画直线a的平行线，只能画出1条.
过点C画直线a的平行线，也只能画出1条.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 合作探究
答：只有一个位置使得直线a与b平行.
问题5 在图中转动木条a的过程中，有几个位置使得直线a与b平行？
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 合作探究
关于平行线的基本事实
过直线外一点有且只有一条直线与这条直线平行.
推论
如果两条直线都与第三条直线平行，那么这两条直线也互相平行.
如果b∥a，c∥a，，那么b∥c.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 典例分析
1. 如图，用直尺和三角尺画平行线：
(1)过点A画MN∥BC；
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 典例分析
1. 如图，用直尺和三角尺画平行线：
(2)过点C画CE∥DA，与AB交于点E，过点C画CF∥DB，与AB的延长线交于点F.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 典例分析
2. 观察如图所示的长方体，用符号表示下列两条棱的位置关系：
A1B1 AB，AA1 AB，A1D1 D1C1，AD BC.
∥
⊥
⊥
∥
你能在教室里找到这些位置关系的实例吗？与同学讨论一下.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 巩固练习
1. 判断下列说法是否正确.
(1)在同一平面内，不相交的两条射线是平行线.（ ）
(2)在同一平面内，不相交的两条线段是平行线.（ ）
(3)不相交的两条直线是平行线. （ ）
(4)一条直线的平行线有且只有一条. （ ）
(5)过一点有且只有一条直线与已知直线平行. （ ）
×
×
×
×
×
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 巩固练习
2. 同一平面内，不重合的两条直线的位置关系有（ ）
A．相交、垂直
B．相交、平行
C．垂直、平行
D．相交、垂直、平行
B
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 巩固练习
3. 在同一个平面内，直线a、b相交于点P，a∥c，则b与c的位置关系是（ ）
A．平行
B．相交
C．重合
D．平行或相交
B
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 巩固练习
4. 下列说法中：
①如果两条直线都与第三条直线平行，那么这两条直线也互相平行；
②直线外一点到这条直线的垂线段叫做点到直线的距离；
③过一点有且只有一条直线平行于已知直线；
④过一点有且只有一条直线垂直于已知直线.
其中正确的个数有（ ）
A．1个 B．2个 C．3个 D．4个
A
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 6.将一张长方形的硬纸片ABCD对折后打开，折痕为EF，把长方形ABEF平摊在桌面上，另一面CDFE无论怎样改变位置，总有CD∥AB存在，为什么？
巩固练习
5. 四条直线a，b，c，d互不重合，如果a∥b，b∥c，c∥d，那直线a，d的位置关系为________．
a∥d
解：因为CD∥EF，EF∥AB，
所以CD∥AB.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 巩固练习
7. 如图，在∠AOB内取一点P，过点P画PC∥OA交OB于点C，画PD∥OB交OA于点D．
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 归纳总结
两条直线平行 平行线的概念 在同一平面内，当直线a，b不相交时，我们说直线a与b互相平行，记作a∥b.
借助直尺和三角尺画平行线 1.放，2.靠，3.推，4.画.
关于平行线的基本事实 过直线外一点有且只有一条直线与这条直线平行.
推论 如果两条直线都与第三条直线平行，那么这两条直线也互相平行.如果b∥a，c∥a，，那么b∥c.
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 感受中考
1. (2024 常州) 如图，推动水桶，以点O为支点，使其向右倾斜．若在点A处分别施加推力F1、F2，则F1的力臂OA大于F2的力臂OB．这一判断过程体现的数学依据是（ ）
A．垂线段最短
B．过一点有且只有一条直线与
已知直线垂直
C．两点确定一条直线
D．过直线外一点有且只有一条
直线与已知直线平行
A
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 感受中考
2. 三条直线a、b、c，若a∥c，b∥c，则a与b的位置关系是（ ）
A．a⊥b
B．a∥b
C．a⊥b或a∥b
D．无法确定
B
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 ...
平行线的概念
关于平行线的基本事实
小结梳理
同一平面内，不重合的两条直线
平行
相交
推论
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 布置作业
必做题：习题7.2 第1题.
1
探究性作业：
在同一平面内有4条不重合的直线，它们可以把这个平面分成几部分？
（小组讨论探究，整理研究成果，选出代表课前交流．）
2
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?昆 $bN _x0002_C?槥滛糍 抴oC BBg 軘?TB~太裪 dk1 烽@9n–
蒤 _x0005_ 鴝x?f_x0003_贈還賦X櫩 砾壙_x000F_ _x0018_隲Dq籙过摽 koс龁_x0016__x0002_虳_x0012_ 攫~T } DDDDDDDD鏝 m{ S}h, X`_x0008_檲垐簚獶DDD姐剌鮖肴 ^" _x001C__x0012_Pi瀳"g 戃+z趰D_x0012_用胅x O露袷?蠪g%X r a曶 3 x>烒y攴_x0007_ _x001B_奈颻\9Z咞 ,_x0003_塼掠.磫`_x0005_鱯%刀岇艼?2_x000C_ 餑峒 _x0010_c_x0002_龚譧龥徚?眶Tn譈牉微8w_x0019_坯}3獌#蓖媹垐垐垐鑄_x0008_J0廰Y娓頩冋0垐埁+樴NDD詓| ]蚖=&Y婭uD J赁X呝lx?
_x0005_涑 谢谢观看
滱_x001A_p]o?P *阁9p*╨攁x 籙8M秣鹖 _x0013_耮,砇唋p阆y斳XAn錸G[c 齉鐻.鳄垵-X燌$鞜 H躾惑 J_x001A_?鮟?_x0017_丙躃 _x000C_肕 _x0016_|増垐垐垐 _x001D_Pれ` eA肅_x0008__x0008_ 忂&"" 鄪_x0010__x0011__x0011_Q飜d 瞽_x0011_煥檲b 焘6挜=O棔Lb伎 O?讎藄s 顛_x001A_Rwn耯6 3ⅶ圜\dⅩ櫐_x0012_ I珏 毜p_ 藙戰nX2_x001B_u_x0018_<兮 _x001A_u洚 玘k饭枍七鴔ㄩ
眔,曐洶~鵚慀 偰 ?&窏咶皚鮡旀?Ig爙 DDDDDDDD鐏 異oP鵹?=顥垐 _x0006_Lp'"" _x0001_U 牶 ?后O"妽P._x0012_ 呙儍萫2]樥 _x0003_/涛@趬巚 r藈a镯 囄樸Oe〕I 呆&裰8鮬讘?_x0005_+e{讠觿t殹嶦輻Z綇苴?c-_x0004_j
?卸麋 Jbw_x0007_婵 慀??捣 1?' 6夆
邉蛱_x0002_ ;9唸垐垐垐鐸i)齝 澛-_x000E_嶅 T邼垐 RLp'"" _x0002__x0010_ 丼_x0003_啍 G|_x0007_鰑_x0010_#9僓? 砎Ejc蛽l?
