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棱柱与棱锥的体积 by tmoorehead

棱柱与棱锥的体积 by tmoorehead
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2016-02-12 01:18
立体几何几何作图
本范例演示棱柱与棱锥的体积计算。涉及的核心数学概念包括棱柱、棱锥的体积公式。通过使用GeoGebra命令如Intersect、Point、Segment等，可以构造棱柱与棱锥的几何模型。适合初中及高中学生学习立体几何。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → Z
  2. Point(Circle[Z, a]) → Y
  3. Segment(Z, Y) → b
  4. Mirror(Y, Z) → B'
  5. OrthogonalLine(B', b) → c
  6. OrthogonalLine(Y, b) → d
  7. Rotate(Y, 90°, Z) → B'_1
  8. Mirror(B'_1, Z) → X
  9. Line(B'_1, b) → e
  10. Line(X, b) → f
  11. Intersect(c, e) → D
  12. Intersect(d, e) → A
  13. Intersect(d, f) → B
  14. Intersect(c, f) → C
  15. Polygon(D, A, B, C) → poly1, d_1, e_1, f_1, g
  16. Prism(A, B, C, D, F) → j, G, edgeAB_1, edgeBC, edgeCD, edgeAD_1, edgeAF, edgeBG, edgeCH, edgeDI, edgeFG, edgeGH, H, edgeHI, edgeFI, I, faceABCD, faceABGF, faceBCHG, faceCDIH, faceADIF, faceFGHI
  17. Point(g) → J
  18. PointIn(faceFGHI) → E
  19. Pyramid(A, B, J, D, E) → i, faceABJD, edgeAE, edgeBE, edgeEJ, edgeDE, faceABE, faceBEJ, faceDEJ, faceADE, edgeAB, edgeBJ, edgeDJ, edgeAD