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圆柱的展开图 by Ooi Soo Huat

圆柱的展开图 by Ooi Soo Huat
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2017-12-22 21:59
圆立体几何几何作图
所属专题 Mathematics Form 2
这个范例展示了圆柱的展开图，涉及圆柱的几何构造。通过使用GeoGebra命令，如`If`、`Point`、`Line`、`Circle`等，可以直观地理解圆柱的侧面展开过程。适合初中及以上学生学习立体几何。

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(yAxis) → L_3
  3. Line(L_3, zAxis) → j_1
  4. Line(L_3, xAxis) → i_1
  5. Point(i_1) → J
  6. Circle(j_1, J) → BottomCircle
  7. Center(BottomCircle) → C_1
  8. Intersect(yAxis, Circle[Pb, Ra, zAxis], 2) → Ps
  9. Rotate(Pb, ((-((180 * (1 - b)))))°, Ps) → Pr1
  10. Cylinder(BottomCircle, 6) → g, h, i
  11. PointIn(h) → E_1
  12. Rotate(Pb, ((180 * (1 - b)))°, Ps) → Pr2
  13. Angle(Pr2, Ps, Pb, zAxis) → α
  14. Line(Ps, (x(Ps), y(Ps), z(E_1))) → j
  15. Tangent(Pb, BottomCircle) → f_1, f_2
  16. Rotate(CurveCartesian[x(Ph1), y(Ph1), (z(Ph1) * t), t, 0, 1], ((b * 90))°, f_1) → Ga1
  17. Rotate(j, ((b * 90))°, f_1) → j'
  18. Rotate(Pr1, ((b * 90))°, f_1) → Pr1'
  19. Rotate(Pr2, ((b * 90))°, f_1) → Pr2'
  20. Rotate(Ph1, ((b * 90))°, f_1) → Ph1'
  21. Rotate(Ph2, ((b * 90))°, f_1) → Ph2'
  22. Rotate(Ps, ((b * 90))°, f_1) → Ps'
  23. CircleArc(Ps', Pr1', Pr2', j') → q
  24. Vector(Pr2, Ph2) → w
  25. Rotate(Translate[Ps, w], ((b * 90))°, f_1) → Psh'
  26. CircleArc(Psh', Ph1', Ph2', j') → r
  27. Segment(Ph2', Pr2') → s
  28. Segment(Ph1', Pr1') → t
  29. Translate(BottomCircle, w) → TopCircle
  30. Rotate(Translate[Pb, w], ((b * 90))°, f_1) → Pb'
  31. Line(Pb', f_1) → h_1
  32. Rotate(Rotate[TopCircle, ((b * 90))°, f_1], ((b * 90))°, h_1) → TopCircle'
  33. Circle(j_1, J) → DCircleS
  34. Surface(Ga1, (2 * α), j') → MukaSilinder
  35. SelectedIndex(Bahasa) → nn