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

视频信息