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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
數學:如何判斷該參數式為下半圓
Nov 14th 2014, 07:15

請回想一下當初在圓心為原點的單位圓上
點坐標為(cosθ, sinθ)

如果把單位圓的半徑從1改成R
則點坐標變成(Rcosθ, Rsinθ)

如果再把這個圓的圓心從原點換成(X,Y)
則點坐標變成(X+Rcosθ, Y+Rsinθ)

以上都可以畫圖做很直觀的比對

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圓C:(X+3)^2 +(Y-2)^2 =5
其半徑為√5,圓心為(-3,2)
所以圓C上的點的坐標都是(-3+√5cosθ, 2+√5sinθ)

當π<= θ <=2π時
(-3+√5cosθ, 2+√5sinθ)表示下半圓上的點

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