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Geometric Construction with GeoGebra

Geometric Construction with GeoGebra
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2016-05-19 04:45
CircleCoordinate GeometryGeometric Construction
This example demonstrates geometric construction using GeoGebra, specifically showing how to construct geometric shapes using commands like Segment, Circle, Point, Ray, etc. Key mathematical concepts include root, square, circle, and line segment. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(P, Q) → a
  2. Segment(P1, Q_1) → b
  3. Circle(A, Segment[P, Q]) → zCircle1
  4. Point(zCircle1) → B
  5. Ray(A, B) → h
  6. Circle(B, Segment[P1, Q_1]) → zCircle2
  7. Intersect(zCircle2, h, 1) → C
  8. LineBisector(A, C) → zPerp1
  9. Intersect(zPerp1, h) → D
  10. Circle(D, A) → zCircle3
  11. OrthogonalLine(B, h) → zPerp2
  12. Intersect(zCircle3, zPerp2, 2) → E
  13. Segment(E, B) → c
  14. Segment(A, B) → a_1
  15. Segment(B, C) → b_1

AI Drawing Prompt Reference

Draw a line segment and a parallel line segment, then draw a circle with the first segment as the diameter. The circle intersects the parallel line at a point. From this point, draw a ray. Another circle with the parallel segment as the diameter intersects the ray at another point. Connect these two points and draw a line perpendicular to the ray. This line intersects the ray at a point. Draw two circles with diameters of the first and second segments and the intersection point. The second circle intersects the perpendicular line at a point. Connect this point to the center of the second circle and the first intersection point to complete the geometric construction.
The prompt above was compiled from the original drawing commands and is for reference only.