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Line 7.4.1

Line 7.4.1
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2019-03-01 17:05
FunctionTransformationGeometric Construction
This example illustrates the properties of lines, involving linear functions, curve sketching, similarity transformation, tangent lines, reflection, and dilation. Using GeoGebra commands such as Sequence, Union, Random, Line, etc., it dynamically demonstrates the construction of lines. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Sequence(i, i, -10, -1) → a
  2. Sequence(i, i, -5, 5) → w
  3. Sequence(i, i, -10, -1) → b
  4. Sequence(i, i, 1, 10) → c
  5. Union(b, c) → d
  6. Random(-12, 12) → e
  7. Line(A, B) → g
  8. FractionText(Slope[f]) → text1
  9. FractionText(f(0)) → text2
  10. Intersect(h, i) → C
  11. Distance(A, C) → distanceAC
  12. Distance(C, B) → distanceCB
  13. FractionText(n) → text3
  14. FractionText(n) → text6
  15. Sequence(-10, 10, 1) → list1
  16. RandomElement(list1) → ww
  17. RandomElement(list1) → vv
  18. Sequence((k * α), α, 0°, 165°, 5°) → L_1
  19. RandomElement(L_1) → a_1
  20. Line(E, Rotate[F, RandomElement[L_1], E]) → f_1
  21. Point(f_1) → G
  22. Circle(G, 3) → p
  23. Intersect(p, f_1, 1) → H
  24. Slope(f_1) → o

AI Drawing Prompt Reference

Draw a line g passing through points A and B, and display its slope and y-intercept. Construct a circle p with center at point G and radius 3, intersecting line f_1 at point H. Create a randomly rotated line f_1, intersecting line g at point C, and calculate the distances AC and CB.
The prompt above was compiled from the original drawing commands and is for reference only.