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圆锥侧面展开图 by Ooi Soo Huat

圆锥侧面展开图 by Ooi Soo Huat
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2017-12-22 22:00
圆立体几何几何作图
所属专题 Mathematics Form 2
①本范例演示圆锥的侧面展开图（扇形）的形成与计算；②涉及核心数学概念包括圆、立体几何、几何作图、旋转与展开；③构造中运用了If、Point、Line、Distance、Circle、Radius、Intersect、Center、Vector、Translate、Rotate、Arc、Surface、Segment等GeoGebra命令与对象；④适合高中立体几何教学与几何作图练习，帮助理解圆锥与扇形的关系。

GeoGebra 命令及参数

  1. If(o_1 ≤ 0.75, (4 / 3 * o_1^(2)), (-4 * (o_1 - 1)^(2)) + 0.9999) → ba
  2. Point(xAxis) → M_3
  3. Line(M_3, zAxis) → k_1
  4. Point(k_1) → F_1
  5. Line(M_3, xAxis) → l_1
  6. Point(l_1) → D_1
  7. Distance(F_1, D_1) → Sisi
  8. Circle(k_1, D_1) → k
  9. Radius(k) → Rb
  10. Intersect(l_1, k, 1) → I_1
  11. Center(k) → Ct
  12. Vector(Ct, Ct1) → u
  13. Vector(Ct4, Ct2) → v
  14. Translate(Ct4, Vector[(b * v)]) → L_1
  15. Distance(Mc, L_1) → Rc
  16. Line(I_1, yAxis) → e
  17. Line(K_1, k_1) → g_1
  18. Rotate(g_1, (((-b) * 180))°, e) → m_1
  19. Rotate(Rotate[(x(L_1), y(D_1), 0), Sudut2°, g_1], ((-((b * 180))))°, e) → O_3
  20. Rotate(O_3, Sudut1°, m_1) → G_1
  21. Rotate(Mc, ((-((b * 180))))°, e) → I_4
  22. Circle(I_4, O_3, m_1) → q_1
  23. Arc(q_1, O_3, G_1) → r_1
  24. Rotate(Rotate[CurveCartesian[t, y(L_1), ((z(K_1) - z(L_1)) / (x(K_1) - x(L_1)) * (t - x(L_1))) + z(L_1), t, x(K_1), x(L_1)], Sudut2°, g_1], ((-((b * 180))))°, e) → Ga2
  25. Surface(Ga2, Sudut1°, m_1) → MukaKon
  26. Rotate(K_1, (-(((b * 180))°)), e) → Md
  27. Segment(Md, G_1) → l
  28. Segment(Md, O_3) → p
  29. Circle(k_1, D_1) → DCircle
  30. SelectedIndex(Bahasa) → nn