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Standing on a Floor

Standing on a Floor
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2017-02-22 10:26
VectorTrigonometryCoordinate Geometry
This example demonstrates a geometric figure standing on a floor. The core mathematical concepts involved are vectors and trigonometry. Using GeoGebra commands such as Vector and Midpoint, a model of a person standing on the floor can be constructed. Suitable for high school students learning coordinate geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Midpoint(A, B) → C
  3. vector_tool(D, E) → v, F
  4. vector_tool(G, H) → w, I
  5. vector_tool(J, K) → a, L
  6. vector_tool(M, N) → b, O
  7. vector_tool(P, Q) → c, R
  8. vector_tool(P, Q) → d, S
  9. vector_tool(P, Q) → e, T
  10. vector_tool(P, Q) → f, U
  11. vector_tool(V, W) → g, Z
  12. vector_tool(P_1, Q_1) → c_1, R_1
  13. vector_tool(P_1, Q_1) → d_1, S_1
  14. vector_tool(P_1, Q_1) → e_1, T_1
  15. vector_tool(P_1, Q_1) → f_1, U_1
  16. vector_tool(P_2, Q_2) → c_2, R_2
  17. vector_tool(P_2, Q_2) → d_2, S_2
  18. vector_tool(P_2, Q_2) → e_2, T_2
  19. vector_tool(P_2, Q_2) → f_2, U_2
  20. vector_tool(P_3, Q_3) → c_3, R_3
  21. vector_tool(P_3, Q_3) → d_3, S_3
  22. vector_tool(P_3, Q_3) → e_3, T_3
  23. vector_tool(P_3, Q_3) → f_3, U_3

AI Drawing Prompt Reference

Draw a geometric figure standing on a floor. Start with two base points, connect them with a vector, and mark its midpoint as the body center. From this center, extend multiple vectors in various directions to represent limbs and torso, with pairs of vectors sharing the same starting point but different endpoints. Arrange these vectors so the overall shape resembles a standing human, with the floor as a horizontal line. Emphasize the angles between vectors and the midpoint's role in the structure, ensuring a balanced and symmetric composition.
The prompt above was compiled from the original drawing commands and is for reference only.