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Slope and Road Signs

Slope and Road Signs
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2019-02-22 07:50
VectorFunctionCoordinate GeometryGeometric ConstructionGraphing
This example visually demonstrates the relationship between slope and road signs, linking linear function graphs to real-world road标志. It covers core concepts like linear functions, slope, linear regression, and real number operations. Construction highlights GeoGebra commands such as Point, OrthogonalLine, Vector, FitPoly, Segment, Polygon, Circle, Intersect, CircleSector, CurveCartesian, Midpoint, and RotateText. Ideal for high school mathematics education, focusing on linear function applications and data analysis in practical scenarios.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. OrthogonalLine(B, xAxis) → f
  3. Point(f) → A11
  4. Vector(A2, A11) → u
  5. FitPoly(L_1, 8) → g
  6. Segment((0, 0), (100, 0)) → h
  7. Segment((100, 0), A11) → i
  8. OrthogonalLine(A, yAxis) → j
  9. Point(j) → C
  10. Polygon(A, C, 3) → poly1, k, l, m, D
  11. OrthogonalLine(C, xAxis) → n
  12. OrthogonalLine(C, l) → p
  13. OrthogonalLine(D, l) → q
  14. OrthogonalLine(D, m) → r
  15. OrthogonalLine(A, m) → s
  16. Circle(A, a) → c
  17. OrthogonalLine(A, xAxis) → t
  18. Intersect(c, t, 1) → E
  19. Intersect(c, s, 1) → F
  20. Circle(D, a) → d
  21. Intersect(d, r, 1) → G
  22. Intersect(d, q, 1) → H
  23. Circle(C, a) → e
  24. Intersect(e, p, 1) → I
  25. Intersect(e, n, 1) → J
  26. Polygon(E, J, C, A) → q1, e_1, j_1, c_1, a_1
  27. Polygon(C, I, H, D) → q2, c_2, i_1, h_1, d_1
  28. Polygon(A, D, G, F) → q3, a_2, d_2, g_1, f_1
  29. CircleSector(C, J, I) → k_1
  30. CircleSector(D, H, G) → p_1
  31. CircleSector(A, F, E) → q_1
  32. CurveCartesian(t, g(t), t, x(A1), x(A12)) → b
  33. Midpoint(A, D) → K
  34. Midpoint(D, C) → L
  35. Polygon(A, K, C) → t1, c_3, a_3, k_2
  36. Polygon(A, C, L) → t2, l_1, a_4, c_4
  37. RotateText(text3, π / 6) → text4
  38. RotateText(text3, ((-π)) / 6) → text5
  39. Midpoint(i) → M

AI Drawing Prompt Reference

Draw a graph showing the relationship between slope and road signs, including linear function graphs and real-world road signs. Start with x and y axes, then draw a line perpendicular to the x-axis and mark its intersection point. Construct slope using vectors and fit data points to create a linear function graph. Add triangular road signs, construct symbols using circles and their centers, and draw sectors. Finally, connect key points to form closed shapes and rotate text annotations for angles.
The prompt above was compiled from the original drawing commands and is for reference only.