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Land Division

Land Division
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2017-10-09 08:26
CirclePolygonCoordinate GeometryGeometric Construction
This example demonstrates how to construct a geometric figure using basic elements like semicircles, polygons, points, and line segments to illustrate land division. The core mathematical concepts involved include the definition and relationships of circles, polygons, line segments, and points, as well as coordinate representation in analytical geometry. The construction utilizes GeoGebra commands such as Semicircle, Polygon, Point, Segment, and Line. It is suitable for high school mathematics courses, teaching geometric construction and the application of analytical geometry.

GeoGebra Commands & Parameters

  1. Semicircle(A, B) → c
  2. Polygon(B, E, F, A) → Show_1, b, e, f, a
  3. Point(b) → G
  4. Point(f) → H
  5. Segment(G, H) → g
  6. Line(I, g) → h
  7. Point(h) → J
  8. Point(b) → K
  9. Point(f) → L
  10. Segment(K, L) → i
  11. Point(b) → M
  12. Line(M, i) → j
  13. Point(j) → N
  14. Polygon(K, N, L) → t1, l, k, n