常见分母矩形图示
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本范例演示了通过调整数字来可视化具有共同分母的两个分数,帮助理解分数组合的概念。核心数学概念包括分数、矩形和几何作图。作图要点涉及使用GeoGebra命令如Sequence、Segment和Text来创建图形。适合初中或高中数学教学,用于直观展示分数运算。
GeoGebra 命令及参数
Sequence(Segment[(0, i), (d_2, i)], i, 1, d_1) → list2Sequence(Sequence[Polygon[(i - 1, j - 1), (i, j - 1), (i, j), (i - 1, j)], i, 1, n_2], j, 1, d_1) → list3Sequence(Segment[(i, 0), (i, d_1)], i, 1, d_2) → list1Sequence(Segment[(i, 0), (i, d_1)], i, 0, Max[d_2, n_2]) → list4Sequence(Segment[(0, i), ((-Max[d_2, n_2]), i)], i, 0, Max[d_1, n_1]) → list5Sequence(Sequence[Polygon[(1 - i, j - 1), ((-i), j - 1), ((-i), j), (1 - i, j)], j, 1, n_1], i, 1, d_2) → list6Sequence(Segment[(0, i), ((-d_2), i)], i, 1, d_1) → list7Sequence(Segment[((-i), 0), ((-i), d_1)], i, 1, d_2) → list8Sequence(Sequence[Text[(i * j), ((-i) + 0.25, j - 0.75)], i, 1, d_2], j, 1, Max[d_1, n_1]) → list9Sequence(Sequence[Text[(i * j), (j - 0.75, i - 0.75)], i, 1, d_1], j, 1, Max[d_2, n_2]) → list10Segment(((-d_2) - 0.75, 0), ((-d_2) - 0.75, d_1)) → aSegment(((-d_2) - 1.25, 0), ((-d_2) - 1.25, n_1)) → bText(n_1, ((-d_2) - 1.75, n_1 + 0.25)) → text3Text(d_1, ((-d_2) - 0.75, d_1 + 0.25)) → text4Segment((0, -0.75), (n_2, (-0.75))) → cSegment((0, -1.25), (d_2, (-1.25))) → dText(n_2, (n_2 + 0.25, (-0.75))) → text5Text(d_2, (d_2 + 0.25, (-1.5))) → text6Text((d_1 * d_2), ((-d_2) + 0.25, d_1 - 0.75)) → text8Text((n_1 * d_2), ((-d_2) + 0.25, n_1 - 0.75)) → text7Text((n_2 * d_1), (n_2 - 0.75, d_1 - 0.75)) → text9Text((d_2 * d_1), (d_2 - 0.75, d_1 - 0.75)) → text10
AI 绘图提示语参考
绘制两个分数的矩形可视化,通过滑动条调整数值,展示分数组合。使用矩形和几何构造,通过序列命令生成多个矩形段和文本标签,首先绘制水平段和垂直段构成矩形,再填充颜色表示分数部分,最后添加文本标签显示数值和计算结果,整体呈现分数的几何表示和组合过程。
以上提示语为根据原始绘图命令整理而来,仅供参考。