5三角形全等的判定.pdf
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1、1/5 课题:第 15 章全等三角形152三角形全等的判定(3)主备人:曹智审核人:时间:2011 年月日年级班姓名:学习目标:1、三角形全等的“边边边”的条件2、经历探索三角形全等条件的过程,体会利用操作、归纳获得数学结论的过程学习重点:三角形全等的条件学习难点:寻求三角形全等的条件一、学前准备1.一块三角形的玻璃损坏后,只剩下如下图所示的残片,你对图中的残片作哪些测量,就可以割取符合规格的三角形玻璃,你能否利用你的知识来加以说明?AB分析:方法 1,量出 AB边和 A,B 的度数,可以截到与原来相同的玻璃图形,方法 2,把玻璃片放在纸板上,然后用直尺画出一块完整的玻璃图形,再剪下来去玻璃店
2、配。问题:方法 1利用了什么定理?_ 方法 2利用了什么道理?_ 2.已知 ABC 2/5 DCBA/ABC求作:A1B1C1,使 A1B1=AB,B1C1=BC,C1A1=CA 作法:作线段B1C1=BC 分别以点 B1,C1为圆心,BA,CA的长为半径画弧,两弧相交于点A1.连接 A1B1,A1C1则A1B1C1就是所求作的三角形(将所求作的 A1B1C1与ABC重叠,看能否重合)全等三角形判定定理3:三边对应相等的两个三角形全等,简记为“边边边”或_ 3.用数学语言表述全等三角形判定(3)在ABC和A B C中,ABA BACBCABC 4.三角形的稳定性只要三角形的三边长度确定了,这个
3、三角形的形状和大小就完全确定,这个性质叫做三角形的 _.练一练 :1.课本第 100页练习题 1.预习疑难摘要 _ _二、探究活动(一)师生探究解决问题例 1、如图,ABC是一个钢架,AB=AC,AD是连结点 A与 BC中点 D的支架求证:ABD ACD CBACBA文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8
4、N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码
5、:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1
6、X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L
7、10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2
8、J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9
9、U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1
10、L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N13/5 例 2.已知如图,点 B.E.C.F在同一直线上,AB=DE.AC=DF.BE=CF 求证:AB DE,AC DFBFADEC(二)独立思考巩固升华1、如图,AB=AE,AC=AD,BD=CE,求证:ABC ADE。2、已知:如图,AD=BC,AC=BD.求证:OCD=ODC 三、自我测试1、已知如图所示,AB=DC.AD=BC 求证:A=C 文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8
11、ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M
12、1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文
13、档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ
14、4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B
15、10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10 HC2J6I1E9U8 ZH1L1M1T8N1文档编码:CQ4B1X9B10L10
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