《向量数量积的坐标运算和度量公式》教学设计 教学设计

《向量数量积的坐标运算和度量 公式 小学单位换算公式大全免费下载公式下载行测公式大全下载excel公式下载逻辑回归公式下载 》教学设计 教学设计 《向量数量积的坐标运算和度量公式》教学设计 1、知识与技能 掌握平面向量数量积的坐标 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示和运算，度量公式的推导应用 (1)根据向量的坐标计算它们的数量积，由数量积的坐标形式求两个向量的夹角( 教 (2)运用向量垂直的坐标表示的充要条件解决有关问 题 快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题 ，特别是运用坐标法证明两个向量垂直( 学目 (3)掌握平面内两点间的距离公式 2、过程与方法 通过平面向量数量积的数与形两种表示的相互转化，使学生进一步体会数形结合思想，增强用两种标 方法——向量法与坐标法处理向量问题的意识( 3、情感、态度、价通过本节内容的启发探研式学习，培养学生的动手能力和探索精神( 值观 1、 向量数量积的坐标运算和度量公式 教 2、 向量垂直的坐标表示的充要条件( 学重 点 平面向量数量积的两种形式的内在联系及灵活运用坐标运算与度量公式解决有关问题。 教 学难 点 adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by 设置情境，启发引导学生由旧知推新知，自主探索研究,使数学的学习成为再创造的过程，使学生树立学习数学的信心。 教 学方 法 教 设计教学内容 师生互动 学环意图 节 提问1:如何用向量的长度、夹角反由学生口答，教师板书向量数量积的定义及向量的运算律公式 为数 映数量积,又如何用数量积、长度来反映量积的坐 夹角,向量的运算律有哪些, 标运算及 度量公式学生板书，教师分析，引导学生复习前课重点……两个向量的数量积的运 练习 飞向蓝天的恐龙练习非连续性文本练习把字句和被字句的转换练习呼风唤雨的世纪练习呼风唤雨的世纪课后练习 2:已知|a|=1，|b|=，(1)的推导证算性质 复明打好理若a?b，求a?b;(2)若a、b的夹角为 论基础 ,,?，求|a+b|;(3)若a,b与a垂直，习提求a与b的夹角. 问 练习3:设i，j为正交单位向量，则 ?i?i=_______ ? j?j=________ adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by ? i?j=________ 向量的坐标表示，为我们解决向量的 学生独立进行每个公式的证明，教师个别指导 在充加、减、数乘向量带来了极大的方便，那分复习的么向量的坐标表示，对数量积的表达方式基础上， 会带来哪些变化呢, 培养学生 用旧知解 问题1 决新问题 引的能力， a=(x, y)，b=(x, y) ，如果已知1122独立思考入新 怎样用a 、b 的坐标表示a?b 呢, 探索的意 识 课 222 推广1:设a=(x, y)，则|a|=x+y 及 教师小结: 或(长度公式) 公式 (1)两个向量的数量积等于它们对应坐标的乘积的和即推导 推广2:设A(x, y) 、B(x, y)，1122 则(距离公 (2) 向量的长度、距离和夹角公式 式) adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by 推广3: cos, = ()(夹 角公式) 问题2 内积为何值时说明两个向量教师小结:向量垂直的充要条件 是垂直的, 设，，则 a?bxx+yy=0 1212 例1 设a = (3, ,1)，b = (1, ,2)，求a,b，|a|，|b|，教师演示第一问，强调先写公式，后计算，学生完成全题。 巩固 和 向量数量 积的坐标应 运算和度 量公式的用举 基本应用 例2 已知A(1, 2)，B(2, 3)，C(,2, 5)， 例 (1)教师引导，师生共同完成。 运用 向量垂直 求证:?ABC是直角三角形 的坐标表 adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by 示的充要 条件解决 (2)教师提问:该题还有其他证明方法吗, 问题;培 养学生灵 活运用所 (提示可计算 、 、 ，然后用勾股定理验证) 学公式解 决问题的 能力 例3 已知A(1，2)，B(3，4)，C(5，0)，教师引导，师生共同完成。 应用 求?BAC的值。 夹角的坐 标公式， 揭示向量 与三角的 联系,训 练学生的 运算能力 例4 已知a=(4,2) ，求与a 垂直的单位向量 教师讲解，学生归纳方法 A 1(1)，(2) 学生独立完成，教师指导 巩固练习课新知 堂练 习 1、向量垂直的坐标表示的充要条件，及向量的长师生共同完成 使学度、距离和夹角公式 归生养成归 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 的 adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by (1)用坐标表示的数量积公式，常习惯，主纳小用来计算两向量的夹角. 动独立思 考问题的结 (2)两向量垂直时，在表达方式上能力 有一定技巧，如 与 总是垂直的。 2、平面向量数量积的两种形式的内 在联系及有关知识的灵活运用。 1(3)(4),2,3 练习A学生独立完成 巩固布新知 练习B 1 置作 业 教教材、教参、多媒体、尺规 学资源 建议 adership: Luo Mingjun, rectification time: before September 25th, insist for a long time) 1, 2, to further improve research, solve thoroughly, not solid, the effect is not obvious. The major issues and enterprises it is a matter of security bureau year development, the vital interests of the problem, determine the research topic, by members of the Party led research. Basic research to see the truth, to the truth, do not say hello, not pre arranged. After the investigation to submit the research report. 3, insist on grassroots party members take the lead in implementing the line. <. In the construction of work style building long-term mechanism views > and < on the depth of the grassroots, the people, promoting harmony activities notice >, more mines and enterprises, solve the masses of grassroots leaders, mine is not enough. 4, contact a crowd. Combined with the "grassroots cadres contact farmers" activities and each cadres to contact a people, by