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Circle Geometry

Circle Geometry
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2016-11-05 14:26
CircleCoordinate GeometryTransformationGeometric Construction
This example demonstrates basic properties of circles, including tangents, semicircles, angles, and segments. It uses GeoGebra commands such as Slope, Point, Semicircle, Intersect, etc., to dynamically explore circle properties. Suitable for middle school and above students to learn about circle geometry.

GeoGebra Commands & Parameters

  1. Slope(f) → m
  2. Point(g) → B
  3. Semicircle(A, B) → c
  4. Semicircle(B, A) → d
  5. Intersect(m, f, 1) → C
  6. Point(f) → D
  7. Point(f) → E
  8. Segment(E, D) → h
  9. Point(g) → F
  10. Intersect(f, g, 1) → G
  11. Angle(C, G, F) → α
  12. Segment(B, A) → i
  13. Textfield(a) → InputBox1

AI Drawing Prompt Reference

Draw a circle and its two diameters AB and BA. Then, mark a point C on diameter AB and draw the tangent at C. Next, mark two points D and E on the circle and connect DE. Draw point F on diameter BA and connect F and C. Measure the angle ∠GCF.
The prompt above was compiled from the original drawing commands and is for reference only.