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Rotation Construction Example

Rotation Construction Example
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2017-12-29 00:19
AngleTransformationGeometric Construction
This example demonstrates the geometric construction process using rotation transformations. It involves core mathematical concepts such as rotation, geometric mean, angles, linear functions, logarithms, and derivatives. The construction utilizes GeoGebra commands like Segment, Rotate, and Angle, with objects including points A, B, f, C, α, and others. It is suitable for high school and above students to understand the application of rotation in geometric problems and calculations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Rotate(A, α, C) → target1
  3. Rotate(B, α, C) → target2
  4. Segment(target1, target2) → target3
  5. Segment(D, E) → g
  6. Rotate(E, α, D) → E'
  7. Angle(E, D, E') → β
  8. Segment(D, E') → h

AI Drawing Prompt Reference

Draw a geometric rotation construction example featuring a line segment and two points. Rotate the line segment around one point to get two new points, then connect these points to form a new line segment. Next, rotate another point around the same center to get a new point, measure the angle formed by these two points and the center, and connect them. The final image should illustrate the relationship between rotation, angles, and line segments, suitable for understanding the application of rotation in geometric problems.
The prompt above was compiled from the original drawing commands and is for reference only.