April 2014
Beginner to intermediate
830 pages
15h 21m
Chinese
Content preview from Mathematica 錦囊妙計
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7.3 3D 圓柱座標函數繪圖
|
283
使用
PlotStyle
選項可以做出令人驚豔的 3D 效果，當方位角的作圖區間大於
2Pi
時，
透明度
Opacity
的設定尤其重要，比較圖 7-4a 及 7-4b。[Page-285]
圖 7-4
Opacity
的效果
延伸資訊
訣竅 7.4 說明了
SphericalPlot3D
與
ParametricPlot3D
指令的關聯性。
7.3 3D 圓柱座標函數繪圖
問題點
你希望畫出以曲線對 z 軸旋轉所形成的曲面。
ch07.indd 283 2014/4/2 上午 11:52:29
284
|
第七章
解決方案
許多常見的曲面可經由 2D 曲線對 z 軸旋轉得到。以下舉出幾個範例。[Page-286]
將拋物線旋轉可獲得碗狀曲面。
與 z 軸平行的直線對 z 軸旋轉可得到圓柱曲面。
若函數牽涉到旋轉角度時，可得到更特殊的旋轉曲面，如下例的螺旋曲面。注意其旋轉
角度可大於（或小於）
2Pi
（旋轉一圈的角度）。
ch07.indd 284 2014/4/2 上午 11:52:30
7
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