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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mastery-of-vectors/
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课程名称：向量基础精通 课程概述： 本课程专为学习大学数学、IGCSE/GCE A Level、IB HL数学考试的学生，以及任何对向量基础感兴趣的学习者而设计。 学习目标： 完成课程后，您将掌握以下大部分或全部向量知识： * 基本向量运算 * 比例定理和中点定理 * 标量（点）积 * 投影长度 * 向量（叉）积 * 直线方程的向量形式 * 两条直线间的锐角 * 点到直线的 the shortest distance (in Chinese, this would be "最短距离") * 平面方程（标量积、笛卡尔坐标、参数方程形式） * 点到平面的距离 * 平面与直线交点 * 点关于平面的反射点 (in Chinese, this would be "关于平面的对称点") * 平面与直线间的锐角 * 两个平面间的锐角 * 两个平面交线 * 三个平面交点 * 两个平面间的距离 课程特色： 课程中包含测验和练习题，帮助您更好地理解和掌握向量概念。此外，还有几堂奖励讲座，以进一步加深您的理解。 讲师：Ling博士 (PhD) 期待您在学习过程中有所收获！
Dear students,Welcome to this course "Master the Fundamentals of Vectors"!This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level, the IB HL Math examinations or simply anyone who is interested to learn the basics of vector.At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:basic vector operationsratio theorem and midpoint theoremscalar (dot) productlength of projectionvector (cross) productvector equation of a straight lineacute angle between two linesshortest distance from a point to a lineequations of a plane (scalar-product, Cartesian, parametric form)distance from a point to a planepoint of intersection between a plane and a line point of reflection about a plane acute angle between a plane and a line angle between two planes intersection of two planesintersection of three planesdistance between two planesAlong the way, there will be quizzes and practice questions for you to get familiarized with the concepts relating to vectors. There are also several bonus lectures which will further enhance your understanding of the topic. If you encounter any problems, please do not hesitate to contact me for more clarifications. I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!Dr Ling, PhD
