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各种管道的构造

各种管道的构造
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2016-12-31 01:43
向量函数立体几何微积分
这个范例展示了不同类型的管道构造。它涉及函数、导数和连续性等核心数学概念。通过使用GeoGebra命令如CurveCartesian、Surface、Vector等，可以构造出各种管道的形状。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Textfield(f_1) → CampEntradaSortida1
  2. Textfield(f_2) → CampEntradaSortida2
  3. Textfield(f_3) → CampEntradaSortida3
  4. Derivative(f_1) → g_1
  5. Derivative(f_2) → g_2
  6. Derivative(f_3) → g_3
  7. CurveCartesian(f_1(ss) - (c1(ss) * e_1(t)) - (c5(ss) * e_2(t)), f_2(ss) + (c2(ss) * e_1(t)) - (c4(ss) * e_2(t)), f_3(ss) + (c3(ss) * e_2(t)), t, 0, (2 * π)) → j
  8. Surface(f_1(s) - (c1(s) * e_1(t)) - (c5(s) * e_2(t)), f_2(s) + (c2(s) * e_1(t)) - (c4(s) * e_2(t)), f_3(s) + (c3(s) * e_2(t)), t, 0, (2 * π), s, 0, (2 * π)) → o
  9. Surface(f_1(s) - (c1(s) * e_1(t)) - (c5(s) * e_2(t)), f_2(s) + (c2(s) * e_1(t)) - (c4(s) * e_2(t)), f_3(s) + (c3(s) * e_2(t)), t, 0, (2 * π), s, 0, ss) → q
  10. CurveCartesian(f_1(0) - (c1(0) * e_1(t)) - (c5(0) * e_2(t)), f_2(0) + (c2(0) * e_1(t)) - (c4(0) * e_2(t)), f_3(0) + (c3(0) * e_2(t)), t, 0, (2 * π)) → s
  11. CurveCartesian((aa * cos(t)), (bb * sin(t)), 0, t, 0, (2 * π)) → e_0
  12. CurveCartesian(f_1(t), f_2(t), f_3(t), t, 0, (2 * π)) → ac
  13. Derivative(ac) → ac'
  14. Derivative(ac') → ac''
  15. Vector((0, 0, 0), A) → w
  16. Vector(P, P + UnitVector[w]) → t
  17. CurvatureVector(P, ac) → n
  18. OrthogonalPlane(P, t) → a