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原点通过直线方程的解释

原点通过直线方程的解释
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2019-02-19 07:42
函数三角函数解析几何
这个范例演示了通过原点的直线方程。核心数学概念包括直线方程和斜率。通过使用GeoGebra命令如Intersect、Point、Rotate等，可以构造出不同斜率的直线。适合初中及以上学生学习直线方程和斜率的概念。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Point(yAxis) → C
  6. Line(C, xAxis) → f
  7. Circle(C, a) → c
  8. Intersect(c, f) → D, E
  9. OrthogonalLine(E, f) → g
  10. Point(yAxis) → F
  11. Line(F, f) → h
  12. Intersect(g, h) → G
  13. Polygon(C, F, G, E) → q1, c_1, f_1, g_1, e
  14. Line(A, B') → i
  15. OrthogonalLine(A, i) → j
  16. Circle(A, 0.8) → d
  17. Intersect(d, j, 2) → H
  18. Line(H, i) → k
  19. Circle(H, 0.4) → p
  20. Intersect(p, j, 2) → I
  21. Line(I, k) → l
  22. Circle(I, 0.4) → q
  23. Intersect(q, j, 2) → J
  24. Line(J, l) → m
  25. Circle(H, (b * a)) → r
  26. Intersect(r, k, 2) → K
  27. OrthogonalLine(K, k) → n
  28. Intersect(l, n) → L
  29. Polygon(H, K, L, I) → q2, h_1, k_1, l_1, i_1
  30. Intersect(g, n) → M
  31. Line(A, M) → s
  32. Circle(J, a) → t
  33. Intersect(t, m, 2) → N
  34. Circle(N, a) → d_1
  35. Intersect(d_1, m, 2) → O
  36. Circle(O, a) → e_1
  37. Intersect(e_1, m, 2) → P
  38. Circle(P, a) → p_1
  39. Intersect(p_1, m, 2) → Q
  40. Circle(Q, a) → q_1
  41. Intersect(q_1, m, 2) → R
  42. Circle(R, a) → r_1
  43. Intersect(r_1, m, 2) → S
  44. Circle(S, a) → s_1
  45. Intersect(s_1, m, 2) → T
  46. Circle(T, a) → t_1
  47. Intersect(t_1, m, 2) → U
  48. Circle(U, a) → c_2
  49. Intersect(c_2, m, 2) → V
  50. Circle(V, a) → d_2
  51. Intersect(d_2, m, 2) → W
  52. Intersect(m, n) → Z
  53. Ray(J, Q) → j_1