体积单位换算练习 by FLINK-Team (2)
几何画板及绘图内容加载中,请稍等……
①本范例演示了不同体积单位(立方米、立方分米、立方厘米、立方毫米)之间的换算关系;②涉及的核心数学概念为体积单位换算和十进制倍数关系;③作图要点:使用了Random, If, Point, IndexOf, Sequence, Text, Polygon, TableText等GeoGebra命令和对象来创建交互式问题和答案展示;④适合小学5-6年级学生,用于学习和练习体积单位的换算。
GeoGebra 命令及参数
Random(1, Length[units]) → unitIndIf(questionCount ≟ 1, 5000, If[1 < questionCount ≤ 5, (RandomElement[1…10] * RandomElement[{100, 1000}]), If[questionCount > 5 ∧ unitInd ≟ 1, round(RandomUniform[0, 10], 2), questionCount > 5 ∧ unitInd ≟ 2, round(RandomUniform[0, 10], 1), questionCount > 5 ∧ unitInd ≟ 3, round(RandomUniform[10, 100], 2), questionCount > 5 ∧ unitInd ≟ 4, round(RandomUniform[100, 10000], 1)]]) → valPoint(listAnkerPunkte) → NIndexOf(N, listAnkerPunkte) → indexCurrentPosPoint(allowedPos) → ASequence(Semicircle[l1(i), l1(i + 1)], i, 1, Length[l1] - 1) → l2Sequence(Text[(("$\textsf{" * If[i ≟ 1, 1000, 10]) * "}$"), Midpoint[l1(i), l1(i + 1)] + (0, dy), true, true, 0], i, 1, Length[l1] - 1) → l3Sequence(Midpoint[l1(i), l1(i + 1)] - (0, 0.4), i, 1, Length[l1] - 1) → MsSequence(CircleArc[Ms(i), l1(i + 1), l1(i)], i, 1, Length[Ms]) → l4Text(ReplaceAll[(("\textsf{" * NumberSeparationComma[valNew]) * "}"), ".", ","], A + (0.44, 0.36), true, true, 0) → text4Polygon(B, C, 4) → Vieleck1, f, g, h, i, D, EPolygon(F, G, 4) → Vieleck2, j, k, l, m, H, IPolygon(E, I, H, D) → v1, e, i_1, h_1, dPolygon(C, G, H, D) → v2, c, g_1, h_2, d_1Polygon(B, C, G, F) → v3, b_1, c_1, g_2, f_1Polygon(B, F, I, E) → v4, b_2, f_2, i_2, e_1If(unitInd ≟ 1, round(RandomUniform[0, 10], 2), unitInd ≟ 2, round(RandomUniform[0, 10], 1), unitInd ≟ 3, round(RandomUniform[10, 100], 2), unitInd ≟ 4, round(RandomUniform[100, 10000], 1)) → wertTableText({"\vphantom{\frac{1}{2}}m^3", "dm^3", "cm^3", "mm^3"}, {"\vphantom{\large{\frac{1}{2}}}\hspace{6cm}", "\hspace{6cm}", "\hspace{6cm}", "\hspace{6cm}"}, "c_|h") → text1Sequence(((i * 1), 0), i, 0.73, 9, 0.73) → l5Sequence(If[Mod[i, 3] ≠ 0, Segment[Element[l5, i], Element[l5, i] + (0, 0.2)]], i, 1, 11) → linesText(text5, (4.4 - (x(Corner[text5, 2]) - x(Corner[text5, 1])) / 2, -0.4), true, true) → text6
AI 绘图提示语参考
在平面上画一个截面由两组相同形状构成的体积单位换算练习图。先放置一个底部四边形区域并与之相邻,再在同一位置再画第二个四边形区域,使两组在侧边形成对应关系。用多边形表示这两个“层”,并把它们的连接边组合成一个立体感的示意体。随后在图中任意位置添加一段表格式文字:第一列给出 m^3、dm^3、cm^3、mm^3 四个单位标题,第二列留出空白以填数。最后在体图右侧放置一个数值文本,用于显示换算结果。
以上提示语为根据原始绘图命令整理而来,仅供参考。