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3D Reflection and Vectors

3D Reflection and Vectors
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2021-11-19 09:31
VectorSolid GeometryTransformation
This example demonstrates the reflection phenomenon in 3D space. Core math concepts include vectors, reflection, and solid geometry. Using GeoGebra commands like Mirror, Segment, and Point, it constructs 3D space vectors and reflection effects. Suitable for high school and above students to learn 3D vectors and reflection transformations.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(f) → InputBox5
  6. Textfield(g) → InputBox6
  7. Polygon(A, B, C) → t1, c_1, a_1, b_1
  8. Segment(C, B) → h
  9. Segment(B, A) → i
  10. Segment(A, C) → j
  11. Angle(C, B, A) → α
  12. Circle(D, (10 * a) + b) → e
  13. Point(e) → E
  14. Circle(E, c) → k
  15. Segment(D, E) → l
  16. If(Length[Mode[l1]] ≟ 0, "No digits repeat!", "Repeated digits exist.") → text4
  17. Mirror(E, l) → E'
  18. Mirror(D, l) → D'
  19. Mirror(E, l) → E'_{1}
  20. Mirror(D, l) → D'_{1}
  21. Circle(D, sqrt((100 * d) + (10 * f) + g)) → q
  22. Intersect(k, q, 2) → F
  23. Segment(D, F) → m
  24. Segment(F, E) → n
  25. Angle(F, E, D) → β
  26. Polygon(D, E, F) → t2, f_1, d_1, e_1

AI Drawing Prompt Reference

Draw a 3D reflection phenomenon. First, create three points A, B, and C to form a triangle. Then, draw the three sides and an angle α of the triangle. Next, draw a circle e through point D and parameters a and b. On circle e, draw point E and another circle k. Draw a circle q through point D and parameters d, f, and g, and find the intersection point F of circles k and q. Finally, draw line segments from D to F and from F to E to form a new triangle DEF.
The prompt above was compiled from the original drawing commands and is for reference only.