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Custom Tool: Exercise 3

Custom Tool: Exercise 3
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2016-08-07 05:10
CirclePolygonGeometric Construction
This example demonstrates how to draw an incircle and a rhombus, involving core mathematical concepts such as subtraction, linear functions, volume, and logarithms. Construction highlights include using commands and objects like Polygon, Segment, AngularBisector, Intersect, OrthogonalLine, Circle, IncenterandIncircle in GeoGebra. Suitable for high school students learning geometric constructions and function applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(A, B) → f
  3. Segment(B, C) → g
  4. Segment(C, A) → h
  5. AngularBisector(A, C, B) → i
  6. AngularBisector(B, A, C) → j
  7. Intersect(i, j) → D
  8. OrthogonalLine(D, c) → k
  9. Intersect(k, c) → E
  10. Circle(D, E) → d
  11. IncenterandIncircle(F, G, H) → e, I, poly2, l, m, n

AI Drawing Prompt Reference

Draw a triangle ABC first. Then, construct the incircle of the triangle. Connect points A, B, and C to form the triangle. Next, draw angle bisectors AD and BE, which intersect at point D. Draw a perpendicular line from D to BC, intersecting at point E. Use DE as the radius to draw the incircle of triangle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.