垂直双曲线 by hgraber26 (2)

垂直双曲线 by hgraber26 (2)
几何画板及绘图内容加载中,请稍等……
2018-02-24 01:45
这个范例演示了垂直双曲线的几何构造。它涉及双曲线这一核心数学概念。通过使用GeoGebra命令如Focus、Point、Segment等,可以构造双曲线的焦点、顶点和渐近线。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Focus(c_2) → F_2, F_1
  2. Point(c_2) → M_1
  3. Segment(F_1, M_1) → d_1
  4. Segment(F_2, M_1) → d_2
  5. Point(c_2) → M_2
  6. Segment(F_2, M_2) → d_4
  7. Segment(M_2, F_1) → d_3
  8. Asymptote(c_2) → i, j
  9. Intersect(j, i) → F
  10. Center(Hyperbola[F_2, F_1, b]) → Center
  11. Vertex(Hyperbola[F_2, F_1, a]) → V_2, V_1, ,
  12. OrthogonalLine(B, xAxis) → e
  13. OrthogonalLine(A, xAxis) → f
  14. Line(V_1, xAxis) → g
  15. Line(V_2, xAxis) → l
  16. Intersect(e, g) → C
  17. Intersect(f, g) → D
  18. Intersect(f, l) → E
  19. Intersect(e, l) → G
  20. Polygon(C, D, E, G) → poly1, c_1, d_6, e_1, g_1
  21. Segment(Center, V_1) → a_1
  22. Segment(V_1, C) → b_1
  23. Circle(Center, F_1) → p
  24. Point(p) → H
  25. Segment(Center, H) → m
  26. Intersect(c_1, b_1) → I
  27. Intersect(g_1, c_1) → J
  28. Segment(Center, J) → c
  29. Segment(Center, H) → n