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圆锥与立方体的交线

圆锥与立方体的交线
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2017-04-10 00:14
解析几何立体几何几何作图
所属专题 intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve intersection: surface-surface, curve-curve
这个范例展示了圆锥与立方体的交线。涉及的核心数学概念包括立体几何中的交线、距离和中点。通过使用GeoGebra命令如Circle, OrthogonalLine, Cone, Cube, Intersect等，可以直观地观察到交线的变化。适合高中几何学习者和教师使用。

GeoGebra 命令及参数

  1. Circle(A, B) → c
  2. OrthogonalLine(A, xOyPlane) → f
  3. Point(f) → D
  4. Cone(c, Distance[A, D]) → b, d, e
  5. Point(c) → F
  6. Segment(D, F) → g
  7. Distance(A, B) → j
  8. Midpoint(A, B) → E
  9. Point(Circle[G, Distance[C, G], Segment[C, G]]) → H
  10. Cube(C, G, H) → a, I, caraHIML, caraJKLM, arestaCI, arestaCG, arestaGH, arestaHI, arestaCJ, arestaIM, arestaJM, arestaJK, J, arestaGK, arestaKL, arestaHL, arestaLM, K, L, M, caraCGHI, caraCIMJ, caraCGKJ, caraGHLK
  11. Intersect(g, caraJKLM) → N
  12. Intersect(g, caraHIML) → O
  13. Intersect(g, caraGHLK) → P
  14. Intersect(g, caraCIMJ) → Q
  15. Intersect(g, caraCGKJ) → S
  16. Intersect(g, caraCGHI) → T
  17. Locus(N, F) → LlocGeomètric1
  18. Locus(O, F) → LlocGeomètric2
  19. Locus(P, F) → LlocGeomètric3
  20. Locus(Q, F) → LlocGeomètric4
  21. Locus(S, F) → LlocGeomètric5
  22. Locus(T, F) → LlocGeomètric6