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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.

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極座標

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  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。

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