积极 AI Logo 积极 AI

正确分数的多种模型

正确分数的多种模型
几何画板及绘图内容加载中，请稍等……
2020-04-23 18:34
函数数列几何作图
这个范例展示了正确分数的不同表示方法。它涉及分数、图示、线性模型等核心数学概念。通过使用GeoGebra命令如Segment、Point、Circle、Polygon等，可以动态地展示分数的几何意义。适合初中及以上学生学习分数的多种表示方法。

GeoGebra 命令及参数

  1. Segment(K_2, K_2 + (1 - num / denom, 0)) → linearModel1SegShift
  2. Point(linearModel1SegShift) → LinearModel1PtL
  3. Circle(R_1, T_1) → Circle_{model}
  4. Point(Circle[R_1, 0.105]) → C_2
  5. Polygon(LinearModel1PtL + (0, -0.03), LinearModel1PtL + (num / denom, -0.03), LinearModel1PtL + (num / denom, 0.03), LinearModel1PtL + (0, 0.03)) → int1, a, b, c, e
  6. Vector(NL_c, NL_l) → u
  7. Vector(NL_c, NL_r) → v
  8. Vector(FP_t, FP) → w
  9. Segment((1, 0.13), (1, 0.17)) → i_2
  10. Segment((0, 0.13), (0, 0.17)) → j_2
  11. Segment(R_1, C_2) → m_2
  12. Rotate(C_2, angle, R_1) → D_2
  13. CircleSector(R_1, C_2, D_2) → r_3
  14. Segment(R_1, D_2) → l_2
  15. Rotate(C_2, (360 / denom)°, R_1) → B_2
  16. Sequence(Segment[Rotate[C_2, ((360 * i / denom))°, R_1], R_1], i, 0, denom) → Angle_{divseq}
  17. Segment(K_2, L_2) → a_2
  18. Vector((0, 0.25), (0.1, 0.25)) → image_{vector}
  19. Sequence(Translate[pic1, Vector[(i * image_{vector})]], i, 0, denom - 1) → Set_{opencat}
  20. Sequence(Translate[pic2, Vector[(i * image_{vector})]], i, 0, num - 1) → Set_{closedcat}
  21. Sequence(Translate[pic3, Vector[(i * image_{vector})]], i, 0, denom - 1) → Set_{openstar}
  22. Sequence(Translate[pic4, Vector[(i * image_{vector})]], i, 0, num - 1) → Set_{closedstar}
  23. Polygon(R_8, F_2, G_2, E_2) → rect_{red}, r_8, f_4, g_4, e_4
  24. Segment(R_8, I_2) → b_2
  25. Segment(E_2, H_2) → n_2
  26. Segment(E_2, M_2) → a_3
  27. Segment(J_2, R_8) → b_3
  28. Polygon((0.045, 0.588), (0.045 + num / ((3 * denom)), 0.588), (0.045 + num / ((3 * denom)), 0.385), (0.045, 0.385)) → areaModel3polyFill, j, k, l, m
  29. Polygon((-0.4493678126189438, 0.486), (-0.0923678126189438, 0.486), (-0.0923678126189438, 0.656), (-0.4493678126189438, 0.656)) → fracBackground, d, f, g, h
  30. Segment(LinearModel1PtL + (0, 0.005), LinearModel1PtR + (0, 0.005)) → linearModel1Line
  31. Sequence(Segment[(i, 0.13), (i, 0.17)], i, 0, 1, 1 / intervalHashMarks) → numLineHashMarks
  32. Sequence(Segment[(i, 0), (i, 0.05)], i, 0, 1, 1 / intervalHashMarks) → linearHashMarks
  33. Sequence(Circle[(0.05 + i, 0.3), 0.045], i, 0, (denom - 1) / 10, 0.1) → setCircleOpen
  34. Sequence(Circle[(0.05 + i, 0.3), 0.04], i, 0, (num - 1) / 10, 0.1) → setCircleShading
  35. Sequence(Segment[(0.045 + i / 11, 0.388), (0.045 + i / 11, 0.588)], i, 0, denom) → Area_{rectdiv}
  36. Sequence(Segment[(0.044 + i / ((3 * denom)), 0.387), (0.044 + i / ((3 * denom)), 0.588)], i, 0, denom) → Area_{rect2}
  37. FractionText(1 / intervalHashMarks) → intervalValue