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高维中的中垂球

高维中的中垂球
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2017-09-19 17:53
解析几何立体几何几何作图
该范例演示了高维空间中的中垂球。涉及的核心数学概念包括高维空间中的几何构造和中垂球的性质。通过使用GeoGebra命令如Sphere、Intersect、Circle等，可以构造出高维空间中的中垂球。适合高中及以上学生或数学爱好者学习和探索高维空间中的几何构造。

GeoGebra 命令及参数

  1. SurdText(sqrt(A2) - 1) → B2
  2. SurdText(sqrt(A3) - 1) → B3
  3. SurdText(sqrt(A4) - 1) → B4
  4. SurdText(sqrt(A5) - 1) → B5
  5. SurdText(sqrt(A6) - 1) → B6
  6. SurdText(sqrt(A7) - 1) → B7
  7. SurdText(sqrt(A8) - 1) → B8
  8. SurdText(sqrt(A9) - 1) → B9
  9. SurdText(sqrt(A10) - 1) → B10
  10. SurdText(sqrt(A11) - 1) → B11
  11. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}, {A9, B9}, {A10, B10}, {A11, B11}}, "|_") → Text1
  12. Intersect(xAxis, yAxis) → A
  13. Circle(A, sqrt(2) - 1) → c
  14. Polygon((-2, -2), (2, -2), 4) → QU
  15. Point(yAxis) → B
  16. Point(MP) → C
  17. Polygon(C, B, A) → d1, a, c_1, b
  18. Sphere((0, 0, 0), sqrt(3) - 1) → d
  19. Sphere((-1, -1, -1), 1) → KG_1
  20. Sphere((1, -1, -1), 1) → KG_2
  21. Sphere((1, 1, -1), 1) → KG_3
  22. Sphere((-1, 1, -1), 1) → KG_4
  23. Sphere((-1, -1, 1), 1) → KG_5
  24. Sphere((1, -1, 1), 1) → KG_6
  25. Sphere((1, 1, 1), 1) → KG_7
  26. Sphere((-1, 1, 1), 1) → KG_8
  27. Segment(C, A) → f
  28. Point(PM) → E
  29. Segment(A, E) → g
  30. Segment(E, D) → h
  31. Segment(E, F) → i
  32. Segment(D, F) → j
  33. Cube((-2, -2, -2), (2, -2, -2), (2, 2, -2)) → k, G, Fläche5, FlächeHIJK, Kante2, Kante1, Kante4, Kante6, Kante3, KanteGK, KanteHK, KanteHI, H, Kante5, KanteIJ, Kante7, KanteJK, I, J, K, Fläche1, Fläche3, Fläche2, Fläche4