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Unit Circle and Multi-Shape Interaction Demo

Unit Circle and Multi-Shape Interaction Demo
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2018-11-25 12:15
CircleVectorTrigonometryCoordinate Geometry
This example demonstrates the construction and relationships of geometric shapes like the unit circle, surfaces, line segments, histograms, and rectangles interactively. It involves core math concepts including vectors, sequences, parametric equations, coordinate geometry, and trigonometry. The construction uses GeoGebra commands/objects such as Point, Textfield, Vector, Sequence, Zip, and elements like h, b, R, m_*. Suitable for high school students and teachers for visualizing geometry, function graphs, and solid geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_x
  2. Textfield(m) → inputBox1
  3. Textfield(s) → inputBoxf
  4. Point(i) → K
  5. Vector(K, s_{inv}D) → w
  6. Vector(s_{inv}D, m_{invSinvD}) → z
  7. Vector(m_{invSinvD}, q_{inv+}) → d
  8. Vector(m_{invSinvD}, q_{inv-}) → f
  9. Vector(q_{inv+}, I) → h_1
  10. Vector(q_{inv-}, J) → j
  11. Textfield(h) → inputBox2
  12. Textfield(b) → inputBox3
  13. Textfield(m_*) → inputBox4
  14. Textfield(m) → inputBox5
  15. Textfield(s) → inputBox6
  16. Point(i) → T_1
  17. Vector(T_1, S_*) → w_1
  18. Vector(S_*, T_*) → u_2
  19. Vector(T_*, R_1) → v_2
  20. Vector(T_*, R_2) → w_2
  21. Vector(R_1, R_#) → a_2
  22. Vector(R_2, R_*) → b_2
  23. Sequence(h - num, h + num) → N
  24. Zip(Vector[(0, i), (2, R(i))], i, N) → QuadRvlist
  25. Zip(Vector[(2, R(i)), (4, q(R(i)))], i, N) → Quadqvlist
  26. Zip(Vector[(4, q(R(i))), (6, m(q(R(i))))], i, N) → Quadmvlist
  27. Zip(Vector[(6, m(q(R(i)))), (8, s(m(q(R(i)))))], i, N) → Quadgvlist