第二十四單元 柱面與球面座標.

Presentation on theme: "第二十四單元 柱面與球面座標."— Presentation transcript:

1 第二十四單元 柱面與球面座標

2 Cylindrical Coordinate

3 Geometrical Interpretation

4 Converting from Cylindrical to Cartesian Coordinates

5 Example

6 Example

7 Plot 3D Cone

8 Cylindrical Surfaces Cylindrical coordinates are convenient for representing cylindrical surface and surfaces of revolution for which the z-axis is the axis of symmetry.

9 Cylindrical Surfaces Rectangular Cylindrical Equation

10 Cone Equation Cylindrical Rectangular

11 Paraboloid Rectangular Cylindrical Equation

12 Hyperboloid Equation Cylindrical Rectangular

13 Spherical Coordinate

14 Spherical Coordinate

15 Example

16 Example

17 Example(continued)

18 Sphere Equation Cylindrical Rectangular

19 Cone Equation Cylindrical Rectangular

20 Vertical plane Equation Cylindrical Rectangular

21 Example

22 Solution:

23 Solution

24 單元結語 就猶如平面中直角座標的函數，有時將座標系統改為極座標系時，會有意想不到的方便與簡單，一樣的，空間座標系我們也會想試一試其他座標系的表示法。 柱面座標系適合使用於與 z 軸對稱的函數圖形。 球面座標系適合使用於對稱原點的函數圖形。