1 / 21

極座標

第十七單元. 極座標. Polar Coordinate System. To plot points in Polar Coordinates. Relation to Cartesian Coordinates. Example. Example. Find the Cartesian coordinates corresponding to ( 4 , π / 6 ) Solution:. Cardioids and Lima ç ons 蚶. Graphs of Polar Equations. The Graph of Roses.

wmueller
Download Presentation

極座標

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 第十七單元 極座標

  2. Polar Coordinate System

  3. To plot points in Polar Coordinates

  4. Relation to Cartesian Coordinates

  5. Example

  6. Example Find the Cartesian coordinates correspondingto (4 ,π/6) Solution:

  7. Cardioids and Limaçons蚶 Graphs of Polar Equations

  8. The Graph of Roses Polar equation of the form

  9. The Graph of Spirals • Spiral of Archimedes • Logarithmic Spiral

  10. Conchoid de Nicomedes

  11. Conchoid de Nicomedes (graph)

  12. Area of a Sector

  13. Calculus in Polar Coordinates

  14. Area in Polar Coordinates

  15. Example • Find the area of the region inside the limaçon

  16. Solution

  17. Arc Length

  18. Arc Length(continued)

  19. Arc Length Formula

  20. Example

  21. 單元結語 • 還有很多以極座標方式表達的函數在此無法一一列舉，同學可參考本校數學網站 http://www.chit.edu.tw/mathmet 再進入函數圖形。以極座標方式有時比直角座標表示方便簡捷很多。

More Related