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P4 Perimeter and Median Line

P4 Perimeter and Median Line
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2018-12-02 23:18
PolygonVectorCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the geometric relationship and calculation methods of polygon perimeter and median lines. It involves core concepts like perimeter calculation, median line properties, vector operations, linear programming and optimization, 2D vectors, and exponential functions. Construction highlights include commands like Segment, Sequence, Polygon, and objects VPoly1 series with color coding. Suitable for high school mathematics teaching and geometric construction practice, ideal for understanding the interaction between spatial vectors and function graphs.

GeoGebra Commands & Parameters

  1. Segment(Blue01a, Blue01b) → Blue01
  2. Segment(Blue02a, Blue02b) → Blue02
  3. Segment(Blue03a, Blue03b) → Blue03
  4. Segment(Blue04a, Blue04b) → Blue04
  5. Segment(Red01a, Red01b) → Red01
  6. Segment(Red02a, Red02b) → Red02
  7. Segment(Red03a, Red03b) → Red03
  8. Segment(Red04a, Red04b) → Red04
  9. Segment(Blue05a, Blue05b) → Blue05
  10. Segment(Red05a, Red05b) → Red05
  11. Segment(Blue06a, Blue06b) → Blue06
  12. Segment(Red06a, Red06b) → Red06
  13. Sequence(Sequence[(s, t), s, 0, 25], t, -5, 13) → ListDots
  14. Segment(Blue07a, Blue07b) → Blue07
  15. Segment(Blue08a, Blue08b) → Blue08
  16. Segment(Blue09a, Blue09b) → Blue09
  17. Segment(Blue10a, Blue10b) → Blue10
  18. Segment(Blue11a, Blue11b) → Blue11
  19. Segment(Blue12a, Blue12b) → Blue12
  20. Segment(Red07a, Red07b) → Red07
  21. Segment(Red08a, Red08b) → Red08
  22. Segment(Red09a, Red09b) → Red09
  23. Segment(Red10a, Red10b) → Red10
  24. Segment(Red11a, Red11b) → Red11
  25. Segment(Red12a, Red12b) → Red12
  26. Segment(Green01a, Green01b) → Green01
  27. Segment(Green02a, Green02b) → Green02
  28. Segment(Green03a, Green03b) → Green03
  29. Segment(Green04a, Green04b) → Green04
  30. Segment(Green05a, Green05b) → Green05
  31. Segment(Green06a, Green06b) → Green06
  32. Segment(Green07a, Green07b) → Green07
  33. Segment(Green08a, Green08b) → Green08
  34. Segment(Green09a, Green09b) → Green09
  35. Segment(Green10a, Green10b) → Green10
  36. Segment(Green11a, Green11b) → Green11
  37. Segment(Green12a, Green12b) → Green12
  38. Segment(Green13a, Green13b) → Green13
  39. Segment(Green14a, Green14b) → Green14
  40. Polygon(VPoly1Fa, VPoly1Fb, VPoly1Fc, VPoly1Fd, VPoly1Fe, VPoly1Ff) → Poly1F, vpoly1fa, vpoly1fb, vpoly1fc, vpoly1fd, vpoly1fe, vpoly1ff
  41. Polygon(VPoly2Fa, VPoly2Fb, VPoly2Fc, VPoly2Fd, VPoly2Fe) → Poly2F, vpoly2fa, vpoly2fb, vpoly2fc, vpoly2fd, vpoly2fe
  42. Polygon(VPoly1Ma, VPoly1Mb, VPoly1Mc, VPoly1Md, VPoly1Me, VPoly1Mf) → Poly1M, SPoly1Ma, SPoly1Mb, SPoly1Mc, SPoly1Md, SPoly1Me, SPoly1Mf
  43. Polygon(VPoly2Ma, VPoly2Mb, VPoly2Mc, VPoly2Md, VPoly2Me) → Poly2M, SPoly2Ma, SPoly2Mb, SPoly2Mc, SPoly2Md, SPoly2Me