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小数加法示例：展示12.6单位 + 0.1单位

小数加法示例：展示12.6单位 + 0.1单位
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2019-01-23 11:06
解析几何几何作图函数图像
①本范例演示了如何使用GeoGebra展示两个小数单位（12.6和0.1）的加法运算结果；②涉及的核心数学概念包括小数加法、单位测量和数值计算；③作图要点——从下方『构造摘要』提炼用到了Point（点）、Segment（线段）、OrthogonalLine（垂线）、Circle（圆）、Intersect（交点）、Line（直线）、Polygon（多边形）、Sequence（序列）等GeoGebra命令/对象；④适合小学及以上年级学生学习小数运算和几何直观。

GeoGebra 命令及参数

  1. Point(Circle[B, blocks]) → C
  2. Segment(B, C) → f
  3. OrthogonalLine(B, f) → g
  4. OrthogonalLine(C, f) → h
  5. Circle(B, Rows) → c
  6. Intersect(c, g, 2) → A
  7. Line(A, g) → i
  8. Line(A, f) → j
  9. Intersect(h, j) → D
  10. Polygon(B, C, D, A) → q1, b, c_1, d, a
  11. Sequence(Segment[B + (i * (1, 0)), A + (i * (1, 0))], i, 1, Columns) → L_1
  12. Sequence(Segment[B + (i * (0, 1)), C + (i * (0, 1))], i, 1, Rows) → L_2
  13. Point(Circle[B_2, blocks]) → C_2
  14. Segment(B_2, C_2) → f_2
  15. OrthogonalLine(B_2, f_2) → g_2
  16. OrthogonalLine(C_2, f_2) → h_2
  17. Circle(B_2, Rows) → c_5
  18. Intersect(c_5, g_2, 2) → A_2
  19. Line(A_2, g_2) → i_2
  20. Line(A_2, f_2) → j_2
  21. Intersect(h_2, j_2) → D_2
  22. Polygon(B_2, C_2, D_2, A_2) → q1_2, b_2, c_4, d_2, a_2
  23. Point(Circle[B_3, blocks]) → C_3
  24. Segment(B_3, C_3) → f_3
  25. OrthogonalLine(B_3, f_3) → g_3
  26. OrthogonalLine(C_3, f_3) → h_3
  27. Circle(B_3, Rows) → c_7
  28. Intersect(c_7, g_3, 2) → A_3
  29. Line(A_3, g_3) → i_3
  30. Line(A_3, f_3) → j_3
  31. Intersect(h_3, j_3) → D_3
  32. Polygon(B_3, C_3, D_3, A_3) → q1_3, b_3, c_6, d_3, a_3
  33. Point(Circle[B_4, blocks]) → C_4
  34. Segment(B_4, C_4) → f_4
  35. OrthogonalLine(B_4, f_4) → g_4
  36. OrthogonalLine(C_4, f_4) → h_4
  37. Circle(B_4, Rows) → c_9
  38. Intersect(c_9, g_4, 2) → A_4
  39. Line(A_4, g_4) → i_4
  40. Line(A_4, f_4) → j_4
  41. Intersect(h_4, j_4) → D_4
  42. Polygon(B_4, C_4, D_4, A_4) → q1_4, b_4, c_8, d_4, a_4
  43. Point(Circle[B_5, blocks]) → C_5
  44. Segment(B_5, C_5) → f_5
  45. OrthogonalLine(B_5, f_5) → g_5
  46. OrthogonalLine(C_5, f_5) → h_5
  47. Circle(B_5, Rows) → c_{11}
  48. Intersect(c_{11}, g_5, 2) → A_5
  49. Line(A_5, g_5) → i_5
  50. Line(A_5, f_5) → j_5
  51. Intersect(h_5, j_5) → D_5
  52. Polygon(B_5, C_5, D_5, A_5) → q1_5, b_5, c_{10}, d_5, a_5
  53. Point(Circle[S, blocks]) → T
  54. Segment(S, T) → f_6
  55. OrthogonalLine(S, f_6) → g_6
  56. OrthogonalLine(T, f_6) → h_6
  57. Circle(S, Rows) → c_{16}
  58. Intersect(c_{16}, g_6, 2) → V
  59. Line(V, g_6) → i_9
  60. Line(V, f_6) → j_6
  61. Intersect(h_6, j_6) → U
  62. Polygon(S, T, U, V) → q1_6, b_9, c_{15}, d_9, a_9
  63. Point(Circle[B_8, blocks]) → C_8
  64. Segment(B_8, C_8) → f_7
  65. OrthogonalLine(B_8, f_7) → g_7
  66. OrthogonalLine(C_8, f_7) → h_7
  67. Circle(B_8, Rows) → c_{17}
  68. Intersect(c_{17}, g_7, 2) → A_8
  69. Line(A_8, g_7) → i_8
  70. Line(A_8, f_7) → j_7
  71. Intersect(h_7, j_7) → D_8
  72. Polygon(B_8, C_8, D_8, A_8) → q1_7, b_8, c_{14}, d_8, a_8
  73. Point(Circle[B_7, blocks]) → C_7
  74. Segment(B_7, C_7) → f_8
  75. OrthogonalLine(B_7, f_8) → g_8
  76. OrthogonalLine(C_7, f_8) → h_8
  77. Circle(B_7, Rows) → c_{18}
  78. Intersect(c_{18}, g_8, 2) → A_7
  79. Line(A_7, g_8) → i_7
  80. Line(A_7, f_8) → j_8
  81. Intersect(h_8, j_8) → D_7
  82. Polygon(B_7, C_7, D_7, A_7) → q1_8, b_7, c_{13}, d_7, a_7
  83. Point(Circle[B_6, blocks]) → C_6
  84. Segment(B_6, C_6) → f_9
  85. OrthogonalLine(B_6, f_9) → g_9
  86. OrthogonalLine(C_6, f_9) → h_9
  87. Circle(B_6, Rows) → c_{19}
  88. Intersect(c_{19}, g_9, 2) → A_6
  89. Line(A_6, g_9) → i_6
  90. Line(A_6, f_9) → j_9
  91. Intersect(h_9, j_9) → D_6
  92. Polygon(B_6, C_6, D_6, A_6) → q1_9, b_6, c_{12}, d_6, a_6
  93. Point(Circle[B_{13}, blocks]) → C_{13}
  94. Segment(B_{13}, C_{13}) → f_{10}
  95. OrthogonalLine(B_{13}, f_{10}) → g_{10}
  96. OrthogonalLine(C_{13}, f_{10}) → h_{10}
  97. Circle(B_{13}, Rows) → c_{24}
  98. Intersect(c_{24}, g_{10}, 2) → A_{13}
  99. Line(A_{13}, g_{10}) → i_{13}
  100. Line(A_{13}, f_{10}) → j_{10}
  101. Intersect(h_{10}, j_{10}) → D_{13}
  102. Polygon(B_{13}, C_{13}, D_{13}, A_{13}) → q1_{10}, b_{13}, c_{23}, d_{13}, a_{13}
  103. Point(Circle[B_{12}, blocks]) → C_{12}
  104. Segment(B_{12}, C_{12}) → f_{11}
  105. OrthogonalLine(B_{12}, f_{11}) → g_{11}
  106. OrthogonalLine(C_{12}, f_{11}) → h_{11}
  107. Circle(B_{12}, Rows) → c_{25}
  108. Intersect(c_{25}, g_{11}, 2) → A_{12}
  109. Line(A_{12}, g_{11}) → i_{12}
  110. Line(A_{12}, f_{11}) → j_{11}
  111. Intersect(h_{11}, j_{11}) → D_{12}
  112. Polygon(B_{12}, C_{12}, D_{12}, A_{12}) → q1_{11}, b_{12}, c_{22}, d_{12}, a_{12}
  113. Point(Circle[B_{11}, blocks]) → C_{11}
  114. Segment(B_{11}, C_{11}) → f_{12}
  115. OrthogonalLine(B_{11}, f_{12}) → g_{12}
  116. OrthogonalLine(C_{11}, f_{12}) → h_{12}
  117. Circle(B_{11}, Rows) → c_{26}
  118. Intersect(c_{26}, g_{12}, 2) → A_{11}
  119. Line(A_{11}, g_{12}) → i_{11}
  120. Line(A_{11}, f_{12}) → j_{12}
  121. Intersect(h_{12}, j_{12}) → D_{11}
  122. Polygon(B_{11}, C_{11}, D_{11}, A_{11}) → q1_{12}, b_{11}, c_{21}, d_{11}, a_{11}
  123. Point(Circle[B_{10}, blocks]) → C_{10}
  124. Segment(B_{10}, C_{10}) → f_{13}
  125. OrthogonalLine(B_{10}, f_{13}) → g_{13}
  126. OrthogonalLine(C_{10}, f_{13}) → h_{13}
  127. Circle(B_{10}, Rows) → c_{27}
  128. Intersect(c_{27}, g_{13}, 2) → A_{10}
  129. Line(A_{10}, g_{13}) → i_{10}
  130. Line(A_{10}, f_{13}) → j_{13}
  131. Intersect(h_{13}, j_{13}) → D_{10}
  132. Polygon(B_{10}, C_{10}, D_{10}, A_{10}) → q1_{13}, b_{10}, c_{20}, d_{10}, a_{10}
  133. Sequence(Segment[B + (i * (1, 0)), A + (i * (1, 0))], i, 1, Columns) → L_3
  134. Point(Circle[X, blocks]) → Y
  135. Segment(X, Y) → f_1
  136. OrthogonalLine(X, f_1) → g_1
  137. OrthogonalLine(Y, f_1) → h_1
  138. Circle(X, Rows) → c_3
  139. Intersect(c_3, g_1, 2) → W
  140. Line(W, g_1) → i_1
  141. Line(W, f_1) → j_1
  142. Intersect(h_1, j_1) → Z
  143. Sequence(Segment[X + (i * (1, 0)), W + (i * (1, 0))], i, 1, Columns2) → L_5
  144. Polygon(W, Z, Y, X) → q2, w, z_1, I, J
  145. Sequence(Segment[X + (i * (0, 1)), Y + (i * (0, 1))], i, 1, Rows2) → L_4

AI 绘图提示语参考

画一个矩形，表示12.6单位加0.1单位的过程。首先画一个圆，圆心在B点，半径为12.6单位，然后画一个垂直于BC的线段，接着画一个垂直于BC的圆，圆心在B点，半径为0.1单位，找到圆与垂直线的交点A，再画一条过A点且垂直于BC的线，最后画一条过A点且平行于BC的线，找到这两条线的交点D，用B、C、D、A这四个点画一个四边形。重复上述步骤，画出表示0.1单位的矩形，然后重复画出表示12.6单位的矩形，最后重复画出表示0.1单位的矩形。
以上提示语为根据原始绘图命令整理而来，仅供参考。