2022年平行四边形的判定3 .pdf

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1、学习好资料欢迎下载平行四边形的判定一、学习目标1在探索平行四边形的判别条件中，理解并掌握用边、对角线来判定平行四边形的方法2会综合运用平行四边形的判定方法和性质来解决问题3培养用类比、逆向联想及运动的思维方法来研究问题二、重点、难点1、重点：平行四边形的判定方法及应用2、难点：平行四边形的判定定理与性质定理的灵活应用三、导学过程：阅读教材 P8687,完成下列问题（一）课前预习活动 1：知识准备1.平行四边形的概念：2.平行四边形的性质：边：角：线：形：3.思考：对边相等或对角相等或对角线互相平分的四边形是不是平行四边形呢？活动 2：探究如图，将两长两短的四根细木条用小钉绞合在一起，做成一个四

2、边形，使等长的木条成为对边，转到这个四边形，使它形状改变，在图形变化过程中，它一直是一个平行四边形吗？如图，将两根细木条AC、BD的中的重叠，用小钉绞合在一起，用橡皮筋连BCADOBCAD学习好资料欢迎下载接木条的顶点，做成一个四边形ABCD，转到两根木条，四边形ABCD 一直是一个平行四边形吗？从探究中得到：平行四边形判定方法1：（）平行四边形判定方法2：（）判定 1：已知：AB=CD,AD=BC 求证：四边形 ABCD 是平行四边形（提示：利用三角形的全等，根据平行四边形的定义证明）证明：判定 2：已知：OA=OC,OB=求证：四边形 ABCD 是平行四边形证明：判定 3：两组对角分别相等

3、的四边形是平行四边形已知：A=,B=BCADOBCADBCAD文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y

4、4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M1

5、0T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1

6、B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O

7、9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5

8、M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:C

9、X1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7学习好资料欢迎下载求证：四边形 ABCD 是平行四边形证明：概括：判定 1 表达式判定 2 表达式 判定 3 表达式（二）课堂活动活动 3：预习反馈活动 4：例习题分析例 1 已知：如图ABCD 的对角

10、线 AC、BD交于点 O，E、F是 AC上的两点，并且 AE=CF 求证：四边形 BFDE 是平行四边形分析：欲证四边形BFDE 是平行四边形可以根据判定方法2 来证明证明：*变式 1：若 E、F 移至 OA、OC的延长线上，且 AE=CF，结论有改变吗？为什么？文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码

11、:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1

12、HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 Z

13、A9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档

14、编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z

15、1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9

16、 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7

17、学习好资料欢迎下载AEDBFC*变式 2：如图,ABCD 的对角线 AC、BD交于点 O，且 E、F、G、H分别是 AO,BO,CO,DO 的中点，求证：四边形 EFGH 是平行四边形2、如图，,ABDCEF ADBC DECF，图中有哪些互相平行的线段？（三）课后巩固1、下 列 条件 中能 判 断 四边 形是平 行四 边 形 的是（）（A）对角线互相垂直（B）对角线相等（C）对角线互相垂直且相等（D）对角线互相平分2、如图，在四边形ABCD 中，AC、BD相交于点O，HFGEODACBOABCDFE文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:C

18、X1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP

19、7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9

20、S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码

21、:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1

22、HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 Z

23、A9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档

24、编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7学习好资料欢迎下载（1）若 AD=8cm，AB=4cm，那么当BC=_cm，CD=_cm时，四边形ABCD 为平行四边形；（2）若 AC=10cm，BD=8cm，那么当AO=_cm，DO=_cm时，四边形ABCD 为平行四边形3、已知：如图，ABBA，BCCB，CAAC 求证：(1)ABC B，CAB A，BCAC；(2)ABC的顶点分别是 BCA各边的中

25、点4、小明用手中六个全等的正三角形做拼图游戏时，拼成一个六边形你能在图中找出所有的平行四边形吗？并说说你的理由5、如图，已知在ABCD中，AE、CF 分别是DAB、BCD的角平分线，试说明四边形 AFCE 是平行四边形CAFDBE文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O

26、9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5

27、M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:C

28、X1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP

29、7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9

30、S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7文档编码:CX1B6Q8B9Z1 HP7O9Y4Y5L9 ZA9S5M10T3H7