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Published byNeal Freeman Modified over 9 years ago
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極座標 第十七單元
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Polar Coordinate System
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To plot points in Polar Coordinates
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Relation to Cartesian Coordinates
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Example
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Find the Cartesian coordinates corresponding to ( 4, π/6 ) Solution:
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Graphs of Polar Equations Cardioids and Limaçons 蚶
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The Graph of Roses Polar equation of the form
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The Graph of Spirals Spiral of Archimedes Logarithmic Spiral
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Conchoid de Nicomedes
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Conchoid de Nicomedes (graph)
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Area of a Sector
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Calculus in Polar Coordinates
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Area in Polar Coordinates
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Example Find the area of the region inside the limaçon
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Solution
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Arc Length
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Arc Length(continued)
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Arc Length Formula
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Example
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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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