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極座標 第十七單元 Polar Coordinate System To plot points in Polar Coordinates.

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Presentation on theme: "極座標 第十七單元 Polar Coordinate System To plot points in Polar Coordinates."— Presentation transcript:

1

2 極座標 第十七單元

3 Polar Coordinate System

4 To plot points in Polar Coordinates

5 Relation to Cartesian Coordinates

6 Example

7 Find the Cartesian coordinates corresponding to ( 4, π/6 ) Solution:

8 Graphs of Polar Equations Cardioids and Limaçons 蚶

9 The Graph of Roses Polar equation of the form

10 The Graph of Spirals Spiral of Archimedes Logarithmic Spiral

11 Conchoid de Nicomedes

12 Conchoid de Nicomedes (graph)

13 Area of a Sector

14 Calculus in Polar Coordinates

15 Area in Polar Coordinates

16 Example Find the area of the region inside the limaçon

17 Solution

18 Arc Length

19 Arc Length(continued)

20 Arc Length Formula

21 Example

22 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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