|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/3d-shapes-unveiled-sphere-hemisphere-cone-cuboid-cube/
课程评论：没有评论
**课程名称：** 3D Shapes Unveiled: Sphere, Hemisphere, Cone, Cuboid, & Cube **课程概述：** 本课程深入探索了三种基础的三维几何形状：球体、半球体、圆锥体、立方体和长方体。 * **球体与半球体：** 课程将定义球体和半球体，区分它们之间的区别，并探讨它们的表面和实际应用。学生将学习计算球体和半球体的表面积和体积的公式，并了解当球体半径变化时，其表面积的变化规律。 * **圆锥体：** 课程将解释圆锥体的含义，教授如何利用高度、半径和斜高计算其表面积。学生将理解圆锥体高度、半径和斜高之间的关系，并学习如何应用这些知识计算制作帐篷所需的帆布成本或圆锥体曲面粉刷成本。此外，课程还将区分直圆锥和斜圆锥，并详细说明直圆锥的高度和斜高。 * **立方体与长方体：** 课程将定义立方体及其特性，教授计算立方体表面积和体积的公式，并探讨其与长方体的区别。学生将了解长方体的含义，并学会计算其体积、总表面积和侧面积，以及房间四面墙壁的面积。课程还将介绍如何计算长方体的对角线长度。 **学习目标：** 通过本课程的学习，学生将能够： * 理解球体、半球体、圆锥体、立方体和长方体的基本概念和性质。 * 掌握计算这些三维形状表面积和体积的公式。 * 能够解决与这些形状相关的实际应用问题，例如计算材料成本或房间面积。 * 区分不同形状之间的差异。 * 通过实际案例理解数学概念。
1. What is meant by Sphere?2. What is the difference between Sphere and Hemisphere?3. How many faces does a sphere and hemisphere have?4. What are the examples of spheres in the real world?5. What is the formula for calculating the surface area of sphere?6. If the radius of a sphere is doubled, what will happen to its surface area?7. How can we calculate the volume of a sphere?8. What is meant by Hemisphere?9. What are the examples of Hemispheres in the real world?10. What is the formula for calculating the curved surface area and total surface area of a hemisphere?11. What formula is used to determine the volume of a 12. Hemisphere and how is it related to the volume of sphere?13. What is the meaning of a Cone?14. How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?15. What is the relationship between height, radius and16. Slant height of a cone?17. How to calculate the cost of the canvas required to make the tent?18. How to calculate the cost of white-washing the curved surface of a cone?19. What is the difference between Right Circular cone and Oblique cone. 20. What is meant by height and slant height of a right circular cone. 21. What is the formula to calculate the slant height of a right circular cone, and22. The students will understand with the help of examples as to how they can calculate the volume of a cone.23. What is the meaning of a cube?24. What are the various properties of a cube?25. What is the formula to calculate the total surface area and curved surface area of a cube?26. How a cube is different from a cuboid?27. What are the real world examples of cubes?28. How to calculate the volume of a cube?29. What a cuboid is.30. How to calculate the volume, total surface area, and lateral surface area of a cuboid.31. How to calculate the area of four walls of a room. 32. How to calculate the length of diagonal of a cuboid.
