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所在平台: Udemy |
课程主页: https://www.udemy.com/course/circle-geometry-for-the-beginner-and-advance-level/
课程评论：没有评论
**课程名称：** 初级与高级圆几何 **课程概述：** 本课程是一门全面的圆几何学习。课程将从圆的定义、构成要素以及相关定理的讲解开始。您将学习到圆的半径、直径、周长、弧长（优弧和劣弧）、弦、扇形面积、弓形（优弓形和劣弓形）以及圆心等概念。 课程中涵盖的圆定理包括：同弧（或同弦）所对圆周角相等、半圆上的圆周角为直角、从圆心到弦的垂线、圆内接四边形、圆心角与圆周角的关系、圆的切线、弦切角定理、圆外一点到圆的切线等。每项定理都配有示例，以帮助学生理解其应用。 后续课程将重点介绍圆几何在平面图形（如正方形、长方形、三角形、立方体、长方体、其他多边形、圆柱体、棱锥体、球体等）中的应用。课程内容不仅限于平面图形的内接或外切圆，还将涉及图形与圆的相切关系或图形到圆的距离等情况。 课程的主要关注点包括： * 解决几何问题，涉及角度、长度、面积和体积的测量。 * 平面图形的内接圆和外切圆，常用于求解半径、圆的面积。 * 计算圆或半圆的弧长、扇形面积。 * 平面图形的内接圆或半圆，以及求解平面图形、圆或半圆的长度、面积或部分面积。 * 解决与圆、半圆和多边形相关的应用题。 * 使用阿波罗尼斯定理和笛卡尔定理来解决圆几何应用中的一些问题。 * 正方形、三角形和长方形的内接和外切圆，这些在平面图形与圆几何的应用中经常出现。 这是一门非常有趣且能达到100%学习效果的课程，是所有希望在圆几何领域取得优异成绩的学生必学的课程。
This is a comprehensive course in circle geometry. The introductory lecture begins with extensivdefinition of circle,its constitutents and explanation of theorems associated with circle geometry. You will learn about radius and diameter of a circle,circumference of a circle,length of arc (minor and major arc)of a circle, a chord,area of a sector ,segment (minor and major segment) of a circle and center of a circle. The circle theorems covered in the lectures include angles in the same segment, angle in a semi-circle,perpendicular line drawn from the center to a chord, cylic quadraliteral,angle at center vs angle at the circumference, tangent to a circle,angles in alternate segment and tangent from an external point. Examples are given for each theorem to help the student learn where the theorem is use.Subsequent lectures generally include the application of circle geometry with plane shapes (square,rectangle,triangle,cube,cuboid,other polygons,cylinder, pyramid,sphere and so on). It is not limited to inscribing or circumscribing plane shape in a circle but situations like tangent to or distance of the plane shape from a circle are covered in the course. The main areas of interest include geometric problems leading to angle, length, area and volume measuration, circumscribing plane shapes in a circle and semi-circle commonly use to find the radius,area of a circle, finding the length of an arc of a circle or semi-circle ,area of sector,inscribing a plane shapes in a circle or semi-circle,finding the length,area or portion of area of the plane shape, circle or semi-circle. Solving problems relating to circle or semi-circle and polygons. Appollinu's and Descarte's theorem are use to solve some questions in application of circle geometry. Inscribing or circumscribing square,triangle and rectangle are frequently used in the application of circle geometry in relation to plane shapes. It is an interesting course that every student that wants to excel in circle geometry must study with 100% delivery.
