将图片中关于长方形、正方形、平行四边形、三角形、梯形的周长、面积,长方体、正方体的表面积、体积公式,制作成一个系统的教学视频,并举例说明---3. 周长、面积、表面积和体积.
我们学过的周长、面积、表面积和体积公式可整理如下:
**长方形 (Rectangle)**
* **Diagram:** A rectangle with length 'a' and width 'b'. A right angle is indicated.
* **Formula:** 面积 S = ab (Area S = ab)
* **Formula:** 周长 C = 2(a+b) (Perimeter C = 2(a+b))
**正方形 (Square)**
* **Diagram:** A square with side length 'a'. A right angle is indicated.
* **Formula:** 面积 S = a² (Area S = a²)
* **Formula:** 周长 C = 4a (Perimeter C = 4a)
**平行四边形 (Parallelogram)**
* **Diagram:** A parallelogram with base 'a', side 'b', and height 'h'. The height 'h' is shown as a perpendicular line from the top side to the base 'a'.
* **Formula:** 面积 S = ah (Area S = ah)
* **Formula:** 周长 C = 2(a+b) (Perimeter C = 2(a+b))
**三角形 (Triangle)**
* **Diagram:** A triangle with base 'a' and height 'h'. The height 'h' is shown as a perpendicular line from the opposite vertex to the base 'a'.
* **Formula:** 面积 S = ah/2 (Area S = ah divided by 2) - *Correction based on standard formula, handwritten text appears to be "ahah2"*
**梯形 (Trapezoid)**
* **Diagram:** A trapezoid with parallel bases 'a' (top) and 'b' (bottom), and height 'h'. The height 'h' is shown as a perpendicular line between the parallel bases.
* **Formula:** 面积 S = h(a+b)/2 (Area S = h times (a plus b) divided by 2) - *Correction based on standard formula, handwritten text appears to be "h(a+b)2"*
**长方体 (Cuboid)**
* **Diagram:** A 3D representation of a cuboid with length 'a', width 'b', and height 'h'.
* **Formula:** 体积 V = abh (Volume V = abh)
* **Formula:** 表面积 S = 2(ab+ah+bh) (Surface Area S = 2 times (ab plus ah plus bh))
**正方体 (Cube)**
* **Diagram:** A 3D representation of a cube with side length 'a'.
* **Formula:** 体积 V = a³ (Volume V = a cubed)
* **Formula:** 表面积 S = 6a² (Surface Area S = 6 times a squared) - *Correction based on standard formula, handwritten text appears to be "6a2"*
Page Number: 98