PR2-07-ET1: 统计与几何中的同类项
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该范例展示了如何通过统计数据和几何图形来理解同类项的概念。核心数学概念包括统计分析、几何作图和数据可视化。作图要点包括使用GeoGebra命令如Zip、LaTeX、Polygon等来创建统计表格和几何图形。适合初中或高中数学学习,用于理解数据整理和图形表示的结合。
GeoGebra 命令及参数
Zip(A ≟ Text[B], A, {textBasket3apples, textBasket3oranges, textBasket3bananas}, B, {numBasket3apples, numBasket3oranges, numBasket3bananas}) → basket3correctnessZip(A ≟ Text[B], A, {textBasket2apples, textBasket2oranges, textBasket2bananas}, B, {numBasket2apples, numBasket2oranges, numBasket2bananas}) → basket2correctnessZip(A ≟ Text[B], A, {textBasket1apples, textBasket1oranges, textBasket1bananas}, B, {numBasket1apples, numBasket1oranges, numBasket1bananas}) → basket1correctnessLaTeX(UnicodeToLetter[10003]) → cmarkLaTeX(UnicodeToLetter[10007]) → xmarkPolygon({(-8, 2), (-8, 6.5), (1.5, 6.5), (1.5, 2)}) → basket1quadPointIn(basket1quad) → basket1apple1PointIn(basket1quad) → basket1apple2PointIn(basket1quad) → basket1apple3PointIn(basket1quad) → basket1apple4PointIn(basket1quad) → basket1apple5PointIn(basket1quad) → basket1orange1PointIn(basket1quad) → basket1orange2PointIn(basket1quad) → basket1orange3PointIn(basket1quad) → basket1banana1PointIn(basket1quad) → basket1banana2PointIn(basket1quad) → basket1banana3PointIn(basket1quad) → basket1banana4Polygon({(22, 2), (22, 6.5), (31.5, 6.5), (31.5, 2)}) → basket3quadPointIn(basket3quad) → basket3apple1PointIn(basket3quad) → basket3apple2PointIn(basket3quad) → basket3apple3PointIn(basket3quad) → basket3apple4PointIn(basket3quad) → basket3banana1PointIn(basket3quad) → basket3banana2PointIn(basket3quad) → basket3banana3PointIn(basket3quad) → basket3orange1Textfield(textBasket1apples) → ansBoxBasket1applesTextfield(textBasket1oranges) → ansBoxBasket1orangesTextfield(textBasket1bananas) → ansBoxBasket1bananasTextfield(textBasket2apples) → ansBoxBasket2applesTextfield(textBasket2oranges) → ansBoxBasket2orangesTextfield(textBasket2bananas) → ansBoxBasket2bananasTextfield(textBasket3apples) → ansBoxBasket3applesTextfield(textBasket3oranges) → ansBoxBasket3orangesTextfield(textBasket3bananas) → ansBoxBasket3bananasJoin({Sequence[(("SetLayer(imgBasket1apple" * q) * ", 8)"), q, 1, numBasket1apples], Sequence[(("SetLayer(imgBasket1orange" * q) * ", 8)"), q, 1, numBasket1oranges], Sequence[(("SetLayer(imgBasket1banana" * q) * ", 8)"), q, 1, numBasket1bananas]}) → basket1LayerCommandsJoin({Sequence[(("SetLayer(imgBasket2apple" * q) * ", 8)"), q, 1, numBasket2apples], Sequence[(("SetLayer(imgBasket2orange" * q) * ", 8)"), q, 1, numBasket2oranges], Sequence[(("SetLayer(imgBasket2banana" * q) * ", 8)"), q, 1, numBasket2bananas]}) → basket2LayerCommandsJoin({Sequence[(("SetLayer(imgBasket3apple" * q) * ", 8)"), q, 1, numBasket3apples], Sequence[(("SetLayer(imgBasket3orange" * q) * ", 8)"), q, 1, numBasket3oranges], Sequence[(("SetLayer(imgBasket3banana" * q) * ", 8)"), q, 1, numBasket3bananas]}) → basket3LayerCommandsPolygon({(7, 2), (7, 6.5), (16.5, 6.5), (16.5, 2)}) → basket2quadPointIn(basket2quad) → basket2apple1PointIn(basket2quad) → basket2apple2PointIn(basket2quad) → basket2banana1PointIn(basket2quad) → basket2banana2PointIn(basket2quad) → basket2orange1PointIn(basket2quad) → basket2orange2PointIn(basket2quad) → basket2orange3PointIn(basket2quad) → basket2orange4LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXTLaTeX("\textbf{Basket 1 contains:}") → basket1HeaderLaTeX("\textbf{Basket 2 contains:}") → basket2HeaderLaTeX("\textbf{Basket 3 contains:}") → basket3HeaderTableText({numBasket1apples, numBasket1oranges, numBasket1bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket1correctness], {}], "v") → basket1TableTableText({numBasket2apples, numBasket2oranges, numBasket2bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket2correctness], {}], "v") → basket2TableTableText({numBasket3apples, numBasket3oranges, numBasket3bananas}, {"\text{\vphantom{\dfrac{1}{2}}apple(s)}", "\text{\vphantom{\dfrac{1}{2}}orange(s)}", "\text{\vphantom{\dfrac{1}{2}}banana(s)}"}, If[isChecked, Zip[If[A, (("\textcolor{#254117}{" * cmark) * "}"), (("\textcolor{#e41b17}{" * xmark) * "}")], A, basket3correctness], {}], "v") → basket3Table
AI 绘图提示语参考
绘制三个并排的矩形篮子,分别位于左侧、中间和右侧,每个篮子内随机分布若干水果点,用不同颜色或形状区分苹果、橙子和香蕉。每个篮子下方或旁边放置三个输入框,用于填写对应水果的数量。在篮子区域上方显示统计表格或文字,用对勾和叉号标记每个输入是否正确。整体布局清晰,突出数据统计与几何图形的结合。
以上提示语为根据原始绘图命令整理而来,仅供参考。