Cube and Vector Problem Demonstration

Cube and Vector Problem Demonstration
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2020-02-15 02:18
This example demonstrates the geometric construction of a cube in three-dimensional space and the application of vectors. It involves core mathematical concepts such as 3D vectors, cube geometry, inequality representation, and analytical geometry methods. The construction highlights the use of basic geometric elements like points, segments, midpoints, and intersections via GeoGebra commands. Suitable for high school and above students for visualizing and deepening understanding of solid geometry and vector knowledge.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. Point(zAxis) → C
  4. Intersect(yAxis, zAxis) → O
  5. Segment(C, D) → f
  6. Segment(D, E) → g
  7. Segment(C, O) → h
  8. Segment(O, B) → i
  9. Segment(B, G) → j
  10. Segment(A, O) → l
  11. Segment(A, D) → m
  12. Segment(G, E) → n
  13. Segment(A, F) → k
  14. Segment(F, B) → p
  15. Segment(E, F) → q
  16. Segment(C, G) → r
  17. Segment(D, B) → t
  18. Segment(E, A) → a
  19. Midpoint(A, E) → J
  20. Segment(K, J) → b
  21. Segment(O, F) → s