MathPlotAI Logo MathPlotAI

Graph of Angle in Coordinate System

Graph of Angle in Coordinate System
Loading the math board and drawing, please wait…
2023-12-20 17:33
AngleCoordinate GeometryGeometric Construction
In collections Wiederholung Winkel: Bezeichnung, Arten, Messen & Zeichnen
This example demonstrates graphing angles in a coordinate system. It involves core mathematical concepts like angles, correlation, and real numbers. Construction highlights include commands/objects such as Sequence, Shuffle, Polygon, Point, Textfield, Line, Intersect, Segment, Vector, SpeechBubbleRight, PolyLine, If, Text, Midpoint, Angle, Circle, Defined from GeoGebra. Suitable for high school students learning coordinate geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Sequence(QE4 + (Vector[QE4, QE3] / 8 * i), i, 1, 7) → GrenzPunkteOben
  2. Sequence(QE1 + (Vector[QE1, QE4] / 8 * i), i, 1, 7) → GrenzPunkteLinks
  3. Sequence(QE2 + (Vector[QE1, QE4] / 8 * i), i, 1, 7) → GrenzPunkteRechts
  4. Sequence(Segment[GrenzPunkteRechts(i), GrenzPunkteLinks(i)], i, 1, 9) → GitterHorizontal
  5. Sequence(QE1 + (Vector[QE1, QE2] / 8 * i), i, 1, 7) → GrenzPunkteUnten
  6. Sequence(Segment[GrenzPunkteOben(i), GrenzPunkteUnten(i)], i, 1, 9) → GitterVertikal
  7. Sequence(Sequence[Intersect[GitterHorizontal(i), GitterVertikal(j)], i, 1, 7], j, 1, 7) → PunkteMengeCoord
  8. Shuffle(Sequence[1, 7]) → HelperX, {6, 3, 2, 1, 4, 5, 7}
  9. Shuffle(Sequence[1, 7]) → HelperY, {4, 2, 3, 1, 6, 7, 5}
  10. Polygon(QE1, QE2, QE3, QE4) → coordsystem, qe1, qe2, qe3, qe4
  11. Sequence(Sequence[(i, k), i, 0, 14], k, 0, 9) → PunkteFeldCoord
  12. Point(PunkteFeldCoord) → InputPunktA
  13. Textfield(input1) → InputBox1
  14. Textfield(input2) → InputBox2
  15. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  16. Line(Ursprung, HelpP1) → f
  17. Line(Ursprung, HelpP2) → g
  18. Intersect(g, QuadratKanten(2)) → EndXPos
  19. Intersect(g, QuadratKanten(4)) → EndXNeg
  20. Intersect(f, QuadratKanten(1)) → EndYNeg
  21. Intersect(f, QuadratKanten(3)) → EndYPos
  22. Segment(EndYPos, EndYNeg) → yAchsel
  23. Segment(EndXPos, EndXNeg) → xAchsel
  24. Sequence(EndXNeg + (Vector[EndXNeg, EndXPos] * i / 8), i, 1, 8) → AchsenpunkteX
  25. Sequence(EndYNeg + (Vector[EndYNeg, EndYPos] * i / 8), i, 1, 8) → AchsenpunkteY
  26. Sequence(Distance[AchsenpunkteX(i), Ursprung], i, 1, 8) → BeschriftungXAchse
  27. Sequence(Distance[AchsenpunkteY(i), Ursprung], i, 1, 8) → BeschriftungYAchse
  28. Vector(Ursprung, InputPunktA) → OrangeCoords
  29. Segment(NeoA, NeoB) → neoa
  30. Segment(NeoB, NeoC) → neob
  31. Segment(NeoC, NeoD) → neoc
  32. Segment(NeoD, NeoA) → neod
  33. SpeechBubbleRight(A, 4, 3) → Vieleck1
  34. PolyLine({QE1, QE2, QE3}) → EckeRU
  35. PolyLine({QE1, QE4, QE3}) → EckeLO
  36. If(gesucht ≟ 1, NeoA, gesucht ≟ 2, NeoB, gesucht ≟ 3, NeoC, gesucht ≟ 4, NeoD) → SolPunkt
  37. Intersect(Segment[NeoA, NeoC], Segment[NeoB, NeoD]) → MittelpunktTrapez
  38. Text(Text4, BeschPosA, false, true, 0, 0) → Text8
  39. Text(Text5, BeschPosB, false, true, 0, 0) → Text9
  40. Text(Text6, BeschPosC, false, true, 0, 0) → Text10
  41. Text(Text7, BeschPosD, false, true, 0, 0) → Text11
  42. Midpoint(NeoD, NeoC) → B
  43. Midpoint(NeoA, NeoB) → C
  44. Text(Text12, B, false, true, 0, 0) → HintParallel1
  45. Text(Text13, C, false, true, 0, 0) → HintParallel2
  46. SpeechBubbleRight(K, 8, 3) → Vieleck3
  47. SpeechBubbleRight(N, 8, 2) → Vieleck4
  48. Angle(NeoC, NeoB, NeoA) → α
  49. Point(PunkteFeldCoord) → InputPunktB
  50. Point(PunkteFeldCoord) → InputPunktC
  51. Circle(InputPunktA, 0.25) → VCA
  52. Circle(InputPunktB, 0.25) → VCB
  53. Circle(InputPunktC, 0.25) → VCC
  54. SpeechBubbleRight(O, 10, 1) → Vieleck2
  55. Angle(NeoA, NeoB, NeoC) → β
  56. Defined(input1) → fixed
  57. Segment(V, W) → h
  58. Segment(Z, W) → i
  59. Angle(Z, W, V) → γ
  60. Text(Feedback, B_1, false, true, 0, 0) → Text22
  61. Text(input1) → Text23

AI Drawing Prompt Reference

Draw a graph containing a coordinate system, lines, angles, and polygons, as follows: There is a rectangle in the coordinate system, with its four corners labeled as A, B, C, and D. AB and CD are parallel, and AD and BC are parallel. Draw lines AB, BC, CD, and DA, labeled as f, g, h, and i. Draw angle α at point C and line segment BC. Draw polygons Vieleck1 and Vieleck3 at points A and K, respectively. Draw polygon Vieleck4 at point N. Draw lines yAchsel and xAchsel, labeled as j and k. Draw point InputPunktA in the coordinate system. Draw lines f and g from the origin. Draw lines h and i, intersecting lines f and g at points EndXPos and EndXNeg. Draw lines j and k, intersecting lines f and g at points EndYPos and EndYNeg.
The prompt above was compiled from the original drawing commands and is for reference only.