棱锥的展开图 by cemccourseware

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Sequence(Rotate[(0, Apothem + SlantHeight), (i * α), A], i, 0, n) → NetEndPoints
3. Sequence(Vector[Rotate[A + (0, 1, 0), (i * α), A] - A], i, 0, n - 1) → ApothemVectors
4. Sequence((Element[ApothemVectors, i] * (Apothem + (SlantHeight * cos((k * θ))))) + (((0, 0, 1) * SlantHeight) * sin((k * θ))), i, 1, n) → apexSegments
5. Sequence(Rotate[(0, radiusBase), (i * α) - α / 2, A], i, 0, n) → baseEndPoints
6. Sequence(Polygon[Element[apexSegments, i], Element[baseEndPoints, i], Element[baseEndPoints, i + 1]], i, 1, n) → pyramidSegments
7. Sequence(Polygon[Element[NetEndPoints, i], Element[baseEndPoints, i], Element[baseEndPoints, i + 1]], i, 1, n) → netSegments
8. Segment((0, 0), (0, Apothem)) → apothemLineNet
9. Segment((0, 0, 0), (0, 0, Height)) → HeightLine3D
10. LaTeX("\text{\textbf{Question: }How do the number of sides in the base of a regular right pyramid, the\\height of the pyramid, and the apothem of the base relate to the net of the pyramid?}") → MainInstruc
11. LaTeX("\text{\textbf{Instructions: }Move the sliders to change the number of sides in the base, the apothem,\\and the height. Move the Open-Closed slider to open and close the pyramid.}") → SpecInstruc
12. Vector((15, 5), (1, Apothem / 2)) → apothemArrowNet
13. LaTeX("Apothem") → apothemArrowLabelNet
14. Vector((11, 4), (1, Apothem / 2)) → apothemArrow3D
15. LaTeX("Apothem") → apothemArrowLabel3D
16. LaTeX("Height") → heightArrowLabel3D
17. Vector((6, 4, 10), (0.5, 0, Height)) → heightArrow3D