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3D Block with Two Holes - Composite Figures

3D Block with Two Holes - Composite Figures
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2020-04-09 03:45
PolygonSolid GeometryTransformationGeometric Construction
This example demonstrates a 3D block with two holes, focusing on composite figures. Key math concepts include solid geometry, volume calculation, geometric transformations, and polygon area. It uses GeoGebra commands like Textfield, Centroid, Polygon, and objects such as input boxes and sliders to dynamically visualize the figure. Suitable for high school students learning about solid geometry, composite shapes, and spatial reasoning.

GeoGebra Commands & Parameters

  1. Textfield(Lx) → InputBox1
  2. Textfield(Ly) → InputBox2
  3. Textfield(Lz) → InputBox3
  4. Textfield(LxI) → InputBox4
  5. Textfield(LyI) → InputBox5
  6. Centroid(Polygon[C, D, I, J]) → M
  7. Centroid(Polygon[B, A, I, J]) → N
  8. Centroid(Polygon[G, H, K, L]) → O
  9. Centroid(Polygon[F, E, K, L]) → P
  10. Polygon({B, F_1, G_1, J}) → q1
  11. Polygon({G_1, J, I, H_1}) → q2
  12. Polygon({I, H_1, E_1, A}) → q3
  13. Polygon({E_1, A, B, F_1}) → q4
  14. Polygon({J, I, Q, R}) → q5
  15. Polygon({J, R, S, C}) → q6
  16. Polygon({S, C, D, T}) → q7
  17. Polygon({D, T, Q, I}) → q8
  18. Polygon({F, E, A_1, B_1}) → q9
  19. Polygon({F, B_1, C_1, L}) → q10
  20. Polygon({C_1, L, K, D_1}) → q11
  21. Polygon({K, D_1, A_1, E}) → q12
  22. Polygon({K, L, V, U}) → q13
  23. Polygon({L, G, W, V}) → q14
  24. Polygon({G, W, Z, H}) → q15
  25. Polygon({Z, H, K, U}) → q16
  26. Polygon({F, L, J, B}) → q17
  27. Polygon({L, J, C, G}) → q18
  28. Polygon({B, A, E, F}) → q19
  29. Polygon({C_1, B_1, F_1, G_1}) → q20
  30. Polygon({B_1, F_1, E_1, A_1}) → q21
  31. Polygon({C_1, D_1, H_1, G_1}) → q22
  32. Polygon({D_1, A_1, E_1, H_1}) → q23
  33. Polygon({S, R, V, W}) → q24
  34. Polygon({R, V, U, Q}) → q25
  35. Polygon({S, T, Z, W}) → q26
  36. Polygon({T, Z, U, Q}) → q27
  37. Polygon({A, E, K, I}) → q28
  38. Polygon({G, C, D, H}) → q29
  39. Polygon({D, H, K, I}) → q30

AI Drawing Prompt Reference

Draw a 3D block with two circular holes, demonstrating composite figures. Start by constructing the outer surface of the block, then create the inner surfaces of the two holes, ensuring accurate shape and position. Use sliders to dynamically adjust the dimensions of the block and holes, and label the centroids of key points. Finally, present the overall 3D effect of the composite geometric figure.
The prompt above was compiled from the original drawing commands and is for reference only.