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所在平台: Udemy |
课程主页: https://www.udemy.com/course/pre-calculus-trigonometry-meet-the-unit-circle/
课程评论：没有评论
《高中预科与三角学：认识单位圆》课程旨在帮助您掌握单位圆这一高中数学和三角学中的核心工具。本课程无需任何先验知识，也无需教材。 **课程内容涵盖：** * **单位圆的结构与组成：** 详细介绍单位圆的四个象限、整体结构以及圆上点的描述。 * **基本概念解释：** 深入浅出地讲解半径、角度单位（度与弧度）、角度符号“theta”的含义。 * **三角函数值：** 学习理解单位圆上角度对应的有理数和无理数值（包括正负值）。 * **直角三角形与单位圆的联系：** 探索单位圆中隐藏的三个特殊直角三角形，理解它们的方位，以及如何将它们的边长与单位圆上的x、y坐标点对应起来。 * **勾股定理的应用：** 学习勾股定理如何在单位圆中应用，以及如何找到数值配对。 **通过本课程，您将能够：** * 熟悉单位圆的形状和四个象限。 * 理解并识别单位圆中的角度，无论是度数还是弧度。 * 认识并读出单位圆上的主要x值和y值。 * 识别单位圆中的三个独特直角三角形。 * 将这些直角三角形与其相应的x值和y值进行匹配。 * 掌握单位圆上独特的x值和y值配对关系。 掌握单位圆是您在预科数学和三角学课程中取得成功的关键。本课程将帮助您牢固掌握这一重要的数学概念。
Topics include the unit circle's four quadrants, the structure of the unit circle along with a description of its points, an explanation of its radius, degrees, radians, explanation of theta, the rational and non-rational values (both positive and negative), right triangles, orientation of right triangles, relating x-values and y-coordinate points to their specific right triangles, Pythagorean Theorem and value pairings.No previous knowledge of the above topics is required.No textbook requiredLessons ordered as follows1. Meet Your Tutor!2. Unit Circle: Structure3. Unit Circle: Angles4. Unit Circle: Values5. Unit Circle: Right Triangles6. Unit Circle: Right Triangles And Their Values7. Conclusion: Thank You!Learning ObjectivesAfter completing The Unit Circle, you willunderstand and be familiar with the shape and four quadrants of the unit circleunderstand, recognize and be able to read the angles of the unit circle in both degrees and radianswill know and recognize the main x-values and y-values of the unit circlebe able to recognize the three unique right triangles within the unit circlebe able to match the unique right triangles with their corresponding x-values and y-valuesbe able to recognize the unique x-values and y-value pairings of the unit circleThe Unit Circle will become your greatest tool in being able to succeed in your Pre-Calculus and Trigonometry course so do your due diligence to try and retain as much information related to it as possible.
