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1、ABCABC平面向量的加减法复习教案执教:毛移民教学目标1.掌握向量加法的三角形法则、向量加法的多边形法则、向量加法的平行四边形法则、向量减法的三角形法则；2.掌握向量的加法满足交换律与结合律；3.灵活运用向量加减法法则和运算律进行向量的运算.教学重难点灵活运用向量加减法法则和运算律进行向量的运算.教学过程一、知识点复习1.向量加法的三角形法则与多边形法则的两个要点:(1);(2).提示:当ba与是两个平行向量时，方法同上.符号语言：如图，(1)ABBC_；（2）CDBCAB_.练习：（1）思考：已知向量DEADBACB,，能直接写出DEADBACB的和向量吗？（2）填空：BCAB；BACB；
2、EDOE；EDBEAB；EFDECDBCAB.2.向量减法的三角形法则的两个要点:(1);(2).提示:当ba与是两个平行向量时，方法同上.符号语言：如图，ABAC_DCBAABDC练习：(1)如图，试用ACADAB,表示向量DCBD,.BD；DC .(2)填空：OBOA；BCAEAB；DCADAB .3.向量加法的平行四边形法则的两个要点:(1);(2).符号语言：如图，ADAB_；ADAB_练习：(1)如图，已知平行四边形ABCD，设bABaAD,，试用向量ba,表示向量BDCA,.CA_；BD_.（2）如图，梯形ABCD中，AB/DC，点E 在AB 上，CE/AD.AEECCDBE_；A
3、B BCCEAD_.4零向量：叫做零向量.记作 .练习：（1）零向量既没有大小，又没有方向，这句话对吗？.（2）填空：a+（-a）=；a+=a（3）填空：CBBC；CABCAB；BCACAB；OCACOA .A D C B DCBAEDCBA文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9
4、H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G
5、7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8
6、文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9
7、D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V
8、9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4
9、S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S85向量加法的运算律：向
10、量加法满足交换律，即：.向量加法满足结合律，即：.练习：（1）化简：CDBDACAB；（2）化简：（ADMB）（BC CM）.二、经典例题讲解1.如图，点E、F 在平行四边形ABCD 的对角线 BD 上，且 EB=DF.（1）填空：BABC=_；AFBA=_；._AFBC（2）在原图中求作：AFBC2.如图，已知向量dcba,，求作：dcba3.如图，在平面直角坐标系中，O 为上原点，点)1,1(P关于原点的对称点为R，点)2,3(Q关于 x 轴的对称点为K.1）求作向量RKOR,.2）求作：OQOP.3）求作：OKOQ.cbadx 2-2 4-4 2 4-2-4 O P Q A E C F
11、B D 文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P
12、10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z
13、5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3
14、W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM
15、7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY
16、1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2
17、X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8abcABEDC三、课堂小结四、作业布置1如图，已知向量ABa、BCb、CDc、DEd；试用a、b、c、d表示下列向量：（1）ABAC；（2）ABAE2如图，cBCbABaOA,，试用a、b、c、d表示下列向量：OCACOB和,3如图，已知向量a、b、c，
18、求作：cbaO A B C abc文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1
19、F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P
20、10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z
21、5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3
22、W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM
23、7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY
24、1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8教学反思:在向量教学中，要注重突出数学思想和方法的讲解。在向量学习中大量涉及“看图说话”，并由“看图说话”逐步上升为“读文画图”，这就体现了数形结合的学习方法。教师要有意识地加强文字语言、图形语言、符号语言的相互转化的训练，培养、
25、提高学生数形结合的能力。同时，在这一节的教学过程中多次出现类比的数学思想。如将向量的减法法则与数的减法法则类比、将向量的混合运算与数的混合运算类比等等。教师在教学时要注重类比思想的传授，一方面通过类比实现知识的迁移，另一方面通过类比提高学生主动学习的兴趣。在向量教学中，要充分利用图形、尤其是平行四边形进行学习。向量加法的交换律、向量的减法可转化为向量的加法、向量加法的平行四边形法则等内容都与平行四边形有密切关系。大量的问题，如向量的表示、向量的运算都以平行四边形为图形展开探究。而学生对平行四边形的性质和判定普遍掌握得较好，这就为教师利用平行四边形进行向量的教学提供了基础。事实也证明，借助平行四
26、边形确实能有效帮助学生的学习。向量一方面具有“代数”的特征，另一方面又具有“几何”的形态。这就为我们在日后进行的数学教学中实施几何问题算法化提供了一种重要的数学工具。所以，向量的概念及其相应的运算是每一个初中学生必备的数学基础知识之一。文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3
27、HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 Z
28、R2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编
29、码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H
30、3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7
31、 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8文档编码:CM7P10R9D9H3 HY1Z5V8V9G7 ZR2X3W1F4S8