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正方锥表面积与体积计算

正方锥表面积与体积计算
几何画板及绘图内容加载中，请稍等……
2016-04-25 12:55
立体几何微积分极限几何作图
①本范例演示正方锥的表面积与体积计算方法；②涉及核心数学概念包括几何作图、多边形面积、立体体积、极限等；③作图要点：使用Segment, OrthogonalLine, Line, Point, Intersect, Polygon, Pyramid, Net, Distance, Textfield等命令构建正方锥模型并计算表面积与体积；④适合高中立体几何教学及数学建模入门学习。

GeoGebra 命令及参数

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. Line(B, b) → c
  4. Point(b) → C
  5. OrthogonalLine(C, b) → d
  6. Intersect(c, d) → D
  7. Polygon(B, D, C, A) → poly1, b_1, d_1, c_1, a_1
  8. Pyramid(poly1, h) → e, E, face1, face2, face3, face4, edge1, edge2, edge3, edge4
  9. Net(e, Net) → g, F, faceFGJ, faceGHK, faceHIL, faceFIM, edgeFG, edgeGH, edgeHI, edgeFI, edgeFJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeFM, H, I, J, K, L, M, faceFGHI
  10. Distance(A, B) → distanceAB
  11. Distance(B, D) → distanceBD
  12. Textfield() → InputBox1
  13. Textfield() → InputBox2