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Kite Geometry Model

Kite Geometry Model
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2018-06-03 01:04
PolygonCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric construction of a kite and its related properties. It involves core mathematical concepts such as polygons, vectors, solid geometry, and coordinate geometry. Construction highlights include using commands like Segment, Sequence, and Point to create the kite's sides, vertices, and key auxiliary points. Suitable for high school and above students to learn and understand the properties and construction methods of complex geometric figures.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Sequence((i / n * A) + ((n - i) / n * B), i, 0, n) → L_{1}
  3. Segment(C, D) → g
  4. Sequence((i / n * C) + ((n - i) / n * D), i, 0, n) → L_{2}
  5. Segment(E, F) → h
  6. Segment(G, H) → i
  7. Sequence((i / n * E) + ((n - i) / n * F), i, 0, n) → L_{3}
  8. Sequence((i / n * H) + ((n - i) / n * G), i, 0, n) → L_{4}
  9. Sequence(Segment[Element[L_{1}, i], Element[L_{2}, i]], i, 1, n + 1) → R_{1}
  10. Sequence(Segment[Element[L_{3}, i], Element[L_{4}, i]], i, 1, n + 1) → R_{2}
  11. Point(xAxis) → I
  12. Segment(I, J) → j
  13. Segment(K, L) → k
  14. Sequence((i / n * I) + ((n - i) / n * J), i, 0, n) → L_{5}
  15. Sequence((i / n * K) + ((n - i) / n * L), i, 0, n) → L_{6}
  16. Sequence(Segment[Element[L_{6}, i], Element[L_{5}, i]], i, 1, n + 1) → R_{3}
  17. Segment(M, N) → l
  18. Segment(O, P) → p
  19. Sequence((i / n * M) + ((n - i) / n * N), i, 0, n) → L_{7}
  20. Sequence((i / n * O) + ((n - i) / n * P), i, 0, n) → L_{8}
  21. Sequence(Segment[Element[L_{7}, i], Element[L_{8}, i]], i, 1, n + 1) → R_{4}