平面向量的数量积教案;

平面向量的数量积教案; ?2.4.1 平面向量数量积的物理背景及其含义 一、教材 分析 定性数据统计分析pdf销售业绩分析模板建筑结构震害分析销售进度分析表京东商城竞争战略分析 , 教科书以物体受力做功为背景,引出向量数量积的概念,功是一个标量,它用力和位移两个向量来定义,反应在 数学 数学高考答题卡模板高考数学答题卡模板三年级数学混合运算测试卷数学作业设计案例新人教版八年级上数学教学计划 上就是向量的数量积。 向量的数量积是过去学习中没有遇到过的一种新的乘法,与数的乘法既有区别又有联系。教科书通过“探究”, 要求 对教师党员的评价套管和固井爆破片与爆破装置仓库管理基本要求三甲医院都需要复审吗 学生自己利用向量的数量积定义推导有关结论。这些结论可以看成是定义的直接推论。 教材例一是对数量积含义的直接应用。 二、学情分析, 前面已经学习了向量的概念及向量的线性运算,这里引入一种新的向量运算——向量的数量积,教科书以物体受力做功为背景引入向量数量积的概念,既使向量数量积运算与学生已有知识建立了联系,又使学生看到数量积与向量模的大小有及夹角有关,同时与前面的向量运算不同,其计算结果不是向量而是数量。 三、三维目标, (一)知识与技能 1、学生通过物理中“功”等实例,认识理解平面向量数量积的含义及其物理意义,体会平面向量数量积与向量投影的关系。 2、学生通过平面向量数量积的3个重要性质的探究,体会类比与归纳、对比与辨析等数学方法,正确熟练的应用平面向量数量积的定义、性质进行运算。 insulating properties of air ... GB/T9966.3-2001 test methods for natural facing stones part 4: wear resistance test method for GB/T996 6.4-2001 test methods for natural facing stones 5th part: test method for scleroscope hardness GB/T996 6.5-2001 test methods for natural facing stones 6th part: test method for acid resistance GB/T996 6.6-2001 test methods for natural facing stone test methods for natural facing stones 8th part: by uniform static pressure difference test stone mounted Structure strength test method of GB/T996 6.8-2001 13, sealant technical standards of architectural curtain wall construction with Silicon sealant silicone building sealant GB/T14683-2003 GB16776-2005 JC887-2001 dry hanging stone curtain wall with epoxy adhesive sealant for glass curtain wall joints JC/T882-2001 JC/T883-2001 mold for building stone building sealant sealant JC/ T885-2001 elastomeric sealant for insulating glass JC/T486-2001 14, building curtain wall fasteners for standard steel high strength bolts with large Hexagon head, large Hexagon nuts, washers technology GB/T1231-2006 high strength plain washers for steel structures GB/T1230-2006 high strength large Hexagon nuts for steel GB/T1229-2006 high-strength big six head bolts for steel GB/T1228-2006 mechanical properties of fasteners Multigrip blind rivets GB/T3099.2-2004 GB/T3098.19-2004 fastener terminology test methods for mechanical properties of fasteners for blind rivets GB/T3098.18-2004 wing nut fasteners mechanical properties ensure torque GB/T3098.20-2004 mechanical properties of fasteners of stainless (二)过程与方法 1、学生经历由实例到抽象到抽象的的数学定义的形成过程,性质的发现过程,进一步感悟数学的本质。 ,三,情感态度价值观 1、学生通过本课学习体会特殊到一般,一般到特殊的数学研究思想。 2、通过问题的解决,培养学生观察问题、分析问题和解决问题的实际操作能力;培养学生的交流意识、合作精神;培养学生叙述表达自己解题思路和探索问题的能力. 四、教学重难点, 1、重点,平面向量数量积的概念、性质的发现论证, 2、难点,平面向量数量积、向量投影的理解, 五、教具准备,多媒体、三角板 六、课时安排,1课时 七、教学过程, ,一,创设问题情景,引出新课 问题,请同学们回顾一下,我们已经研究了向量的哪些运算,这些运算的结果是什么, 新课引入,本节课我们来研究学习向量的另外一种运算,平面向量的数量积的物理背景及其含义 ,二,新课, 1、探究一,数量积的概念 insulating properties of air ... GB/T9966.3-2001 test methods for natural facing stones part 4: wear resistance test method for GB/T996 6.4-2001 test methods for natural facing stones 5th part: test method for scleroscope hardness GB/T996 6.5-2001 test methods for natural facing stones 6th part: test method for acid resistance GB/T996 6.6-2001 test methods for natural facing stone test methods for natural facing stones 8th part: by uniform static pressure difference test stone mounted Structure strength test method of GB/T996 6.8-2001 13, sealant technical standards of architectural curtain wall construction with Silicon sealant silicone building sealant GB/T14683-2003 GB16776-2005 JC887-2001 dry hanging stone curtain wall with epoxy adhesive sealant for glass curtain wall joints JC/T882-2001 JC/T883-2001 mold for building stone building sealant sealant JC/ T885-2001 elastomeric sealant for insulating glass JC/T486-2001 14, building curtain wall fasteners for standard steel high strength bolts with large Hexagon head, large Hexagon nuts, washers technology GB/T1231-2006 high strength plain washers for steel structures GB/T1230-2006 high strength large Hexagon nuts for steel GB/T1229-2006 high-strength big six head bolts for steel GB/T1228-2006 mechanical properties of fasteners Multigrip blind rivets GB/T3099.2-2004 GB/T3098.19-2004 fastener terminology test methods for mechanical properties of fasteners for blind rivets GB/T3098.18-2004 wing nut fasteners mechanical properties ensure torque GB/T3098.20-2004 mechanical properties of fasteners of stainless 展示物理背景,视频“力士拉车”,从视频中抽象出下面的物理模型 背景的第一次分析, 问题,真正使汽车前进的力是什么,它的大小是多少, ,,答,实际上是力在位移方向上的分力,即,在数学中我们给FCOS,F 它一个名字叫投影。 “投影”的概念,作图 ,,, bba定义,||cos 叫做向量在方向上的投影.投影也是一个数量,不是向量, 2、背景的第二次分析, 问题,你能用文字语言表述“功的计算公式”吗? ,, w,FSCOS, 分析,用文字语言表示即,力对物体所做的功,等于力的大小、位移的大小、力与位移夹角的余弦这三者的乘积,功是一个标量,它由力和位移两个向量来确定。这给我们一种启示,能否把“功”看成是这两个向量的一种运算结果呢, ,, ab平面向量数量积,内积,的定义,已知两个非零向量与,它 ,,,,,, abababcos,们的夹角是θ,则数量||||叫与的数量积,记作?,即有,,,,, abab0cos,? = ||||,:?θ?π,.并 规定 关于下班后关闭电源的规定党章中关于入党时间的规定公务员考核规定下载规定办法文件下载宁波关于闷顶的规定 与任何向量的数量积为0. ,注,两个向量的数量积是一个实数,不是向量,符号由cos的insulating properties of air ... GB/T9966.3-2001 test methods for natural facing stones part 4: wear resistance test method for GB/T996 6.4-2001 test methods for natural facing stones 5th part: test method for scleroscope hardness GB/T996 6.5-2001 test methods for natural facing stones 6th part: test method for acid resistance GB/T996 6.6-2001 test methods for natural facing stone test methods for natural facing stones 8th part: by uniform static pressure difference test stone mounted Structure strength test method of GB/T996 6.8-2001 13, sealant technical standards of architectural curtain wall construction with Silicon sealant silicone building sealant GB/T14683-2003 GB16776-2005 JC887-2001 dry hanging stone curtain wall with epoxy adhesive sealant for glass curtain wall joints JC/T882-2001 JC/T883-2001 mold for building stone building sealant sealant JC/ T885-2001 elastomeric sealant for insulating glass JC/T486-2001 14, building curtain wall fasteners for standard steel high strength bolts with large Hexagon head, large Hexagon nuts, washers technology GB/T1231-2006 high strength plain washers for steel structures GB/T1230-2006 high strength large Hexagon nuts for steel GB/T1229-2006 high-strength big six head bolts for steel GB/T1228-2006 mechanical properties of fasteners Multigrip blind rivets GB/T3099.2-2004 GB/T3098.19-2004 fastener terminology test methods for mechanical properties of fasteners for blind rivets GB/T3098.18-2004 wing nut fasteners mechanical properties ensure torque GB/T3098.20-2004 mechanical properties of fasteners of stainless 符号所决定. ,,,,,,03、向量的数量积的几何意义, 1、已知a,12,b,2,a与b的夹角为30，求a,b; ,,,,,, 数量积?等于的长度与在方向上投影||cos,的乘积. ababab八、练习设计, ,,,,,,,,例1 已知,,,5,,,,4,与的夹角=60,求? ababab解,由向量的数量积公式得,,先复习特殊角度的余弦值, ,,,,1,?=||||cos=5×4×cos60=5×4×=10 abab,2 ,,,,,,,练习1已知,,,8,,,,6,?与的夹角为60,?与的夹ababab ,,0,角=0,求?, ab 解,由向量的数量积公式得, ,,,,1,60?=||||cos=8×6×cos=8×6×=24 ?abab,2 ,,,,,0??=||||cos=8×6×cos=8×6×1=48 abab, 归纳 总结 初级经济法重点总结下载党员个人总结TXt高中句型全总结.doc高中句型全总结.doc理论力学知识点总结pdf ,由特殊到一般的数学思想得到, ,,,,,, 性质,1, 当与同向时,? = , ababab ,,,,,,,,0a90练习2已知,,,1,,,,2,当与的夹角为时,求?和, abababa解,根据向量夹角的概念和向量的数量积公式得, ,,,,,0 ??=||||cos=1×2×cos=1×2×1=2 abab, ,,,,,0 ??=||||cos =1×1×cos=1×1×1=1 aaab, 222,,,,,aaa归纳总结,?特别地,常记作,这时 = , aa ,,,, ?? , ?= 0 , abab 练习4, insulating properties of air ... GB/T9966.3-2001 test methods for natural facing stones part 4: wear resistance test method for GB/T996 6.4-2001 test methods for natural facing stones 5th part: test method for scleroscope hardness GB/T996 6.5-2001 test methods for natural facing stones 6th part: test method for acid resistance GB/T996 6.6-2001 test methods for natural facing stone test methods for natural facing stones 8th part: by uniform static pressure difference test stone mounted Structure strength test method of GB/T996 6.8-2001 13, sealant technical standards of architectural curtain wall construction with Silicon sealant silicone building sealant GB/T14683-2003 GB16776-2005 JC887-2001 dry hanging stone curtain wall with epoxy adhesive sealant for glass curtain wall joints JC/T882-2001 JC/T883-2001 mold for building stone building sealant sealant JC/ T885-2001 elastomeric sealant for insulating glass JC/T486-2001 14, building curtain wall fasteners for standard steel high strength bolts with large Hexagon head, large Hexagon nuts, washers technology GB/T1231-2006 high strength plain washers for steel structures GB/T1230-2006 high strength large Hexagon nuts for steel GB/T1229-2006 high-strength big six head bolts for steel GB/T1228-2006 mechanical properties of fasteners Multigrip blind rivets GB/T3099.2-2004 GB/T3098.19-2004 fastener terminology test methods for mechanical properties of fasteners for blind rivets GB/T3098.18-2004 wing nut fasteners mechanical properties ensure torque GB/T3098.20-2004 mechanical properties of fasteners of stainless 九、课堂小结,“1+3” ,,,,,,,,,,0一个概念,数量积的定义? = ||||cos abab,2、已知a,25,b,4,a与b的夹角为45求a,b; 三个性质, ,,,,,, 1、当与同向时,? = , ababab 222,,,,,aaa2、特别地,常记作,这时 = , aa ,,,, 3、? , ?= 0 , abab 作业, 基础作业, 课本109页 练习A,2,练习B,1、2 课后思考,向量的数量积运算满足哪些运算律, 十、板书设计 ?2.4.1 平面向量数量积的物理背景及其含义 例1 1、投影 2、向量的数量积公式 3、向量数量积的性质 十一、教学反思 insulating properties of air ... GB/T9966.3-2001 test methods for natural facing stones part 4: wear resistance test method for GB/T996 6.4-2001 test methods for natural facing stones 5th part: test method for scleroscope hardness GB/T996 6.5-2001 test methods for natural facing stones 6th part: test method for acid resistance GB/T996 6.6-2001 test methods for natural facing stone test methods for natural facing stones 8th part: by uniform static pressure difference test stone mounted Structure strength test method of GB/T996 6.8-2001 13, sealant technical standards of architectural curtain wall construction with Silicon sealant silicone building sealant GB/T14683-2003 GB16776-2005 JC887-2001 dry hanging stone curtain wall with epoxy adhesive sealant for glass curtain wall joints JC/T882-2001 JC/T883-2001 mold for building stone building sealant sealant JC/ T885-2001 elastomeric sealant for insulating glass JC/T486-2001 14, building curtain wall fasteners for standard steel high strength bolts with large Hexagon head, large Hexagon nuts, washers technology GB/T1231-2006 high strength plain washers for steel structures GB/T1230-2006 high strength large Hexagon nuts for steel GB/T1229-2006 high-strength big six head bolts for steel GB/T1228-2006 mechanical properties of fasteners Multigrip blind rivets GB/T3099.2-2004 GB/T3098.19-2004 fastener terminology test methods for mechanical properties of fasteners for blind rivets GB/T3098.18-2004 wing nut fasteners mechanical properties ensure torque GB/T3098.20-2004 mechanical properties of fasteners of stainless