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所在平台: Udemy |
课程主页: https://www.udemy.com/course/herons-formula-and-its-applications-to-quadrilaterals/
课程评论：没有评论
**课程名称：** Heron's Formula Unveiled: A Quadrilateral Perspective (海伦公式揭秘：四边形的视角) **课程概述：** 本课程深入探讨海伦公式，并将其应用拓展到四边形的面积计算。课程将从基础概念入手，逐步深入。 **主要内容包括：** * **海伦公式介绍：** 解释海伦公式是什么，以及如何推导出半周长和周长的概念。 * **四边形基础：** 定义四边形，介绍常见的四边形类型（矩形、菱形、梯形、风筝形）及其面积计算公式（平行四边形、梯形、正方形）。 * **海伦公式在四边形中的应用：** * 探讨海伦公式是否可以直接用于计算四边形面积。 * 学习如何运用海伦公式计算已知四条边长且其中一个角为90度的四边形面积。 * 学习如何运用海伦公式计算已知四条边长相等（即菱形）且对角线长度的菱形面积。 * 探讨如何将四边形分割成两个三角形，并利用海伦公式分别计算面积，最终求得四边形总面积的方法。 * 学习如何运用海伦公式计算已知平行边和非平行边边长的梯形面积。 * **实际应用：** 通过计算围栏成本的例子，将所学知识应用于实际问题，例如在已知三角形公园各边长度、大门长度及围栏单价的情况下，计算围栏的总成本。 **课程目标：** 学员将能够理解海伦公式的原理，并掌握将其应用于计算各种四边形面积的方法，同时也能将几何知识与实际应用相结合。
1. What is Heron's formula?2. What is the meaning of semi-perimeter? How it is arrived at?3. What is the meaning of perimeter? How it is calculated?4. What is the meaning of Quadrilateral? What are some common examples of quadrilaterals?5. Whether Heron's formula can be applied to find the area of Quadrilateral?6. What is meant by a rectangle?7. What is the meaning of rhombus?8. What is meant by a trapezoid?9. What is the meaning of kite?10. What are the formulas for calculating the area of parallelogram, trapezium and square?11. How to find the area of quadrilateral with the help of Heron's formula when all the four sides are given and one angle is 90^0?12. How to find the area of rhombus with the help of Heron's formula when length of all four sides is same and diagonal is given?13. If we divide the quadrilateral into two triangles and calculate the area of each triangle with the help of Heron's formula, then how the area of quadrilateral is arrived at?14. How to find the area of trapezium with the help of Heron's formula when the length of its parallel as well as non-parallel sides is known to us?15. How to calculate the cost of fencing a triangular park when the length of all its sides, the length of gate on one side and the rate of fencing is given?
