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Exploring Rectangle Properties by jroe

Exploring Rectangle Properties by jroe
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2012-03-01 08:12
TrigonometryCoordinate GeometryCalculusProbability & StatisticsGeometric Construction
This example demonstrates the geometric properties and statistical characteristics of rectangles. It involves core mathematical concepts such as geometric construction, angle measurement, statistical features, logical reasoning, and calculus applications. The construction highlights commands like Line, OrthogonalLine, Point, Intersect, Polygon, Angle, and Segment. Suitable for high school and above students to understand rectangle properties and related mathematical theories.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → C
  5. OrthogonalLine(C, b) → d
  6. Intersect(d, c) → D
  7. Polygon(C, A, B, D) → poly1, c_1, a_1, b_1, d_1
  8. Angle(C, D, B) → α
  9. Angle(D, B, A) → β
  10. Angle(B, A, C) → γ
  11. Angle(A, C, D) → δ
  12. Segment(A, D) → AD
  13. Segment(B, C) → BC
  14. Intersect(AD, BC) → E
  15. Segment(A, E) → g
  16. Segment(E, D) → i
  17. Segment(B, E) → j
  18. Segment(E, C) → k