几何测量与长度计算练习：使用GeoGebra进行多边形周长计算

几何画板及绘图内容加载中，请稍等……

2021-07-20 19:01

多边形几何作图

所属专题 Wiederholung: Längen- und Flächenmaße

这个范例演示了如何使用GeoGebra工具进行几何测量和长度计算。核心数学概念包括周长计算、长度测量和几何作图。作图要点包括使用Sequence、Element、Number、Midpoint等GeoGebra命令来创建多边形并计算其周长。适合小学五年级到六年级学生，用于课堂练习和数学教学。

GeoGebra 命令及参数

Sequence(Random[1, Length[units]], i, 1, 100) → randomNos1, {1, 4, 3, 5, 4, 4, 3, 1, 1, 2, 2, 4, 1, 2, 2, 1, 1, 4, 1, 4, 4, 2, 2, 5, 3, 4, 2, 5, 5, 5, 3, 2, 5, 1, 1, 3, 1, 2, 2, 3, 2, 5, 4, 5, 4, 4, 2, 2, 3, 4, 4, 3, 4, 5, 2, 3, 2, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 1, 2, 2, 2, 3, 4, 3, 4, 1, 2, 4, 5, 4, 5, 1, 3, 4, 2, 2, 2, 4, 5, 5, 2, 4, 3, 2, 1, 5, 2, 3, 4, 4}
Sequence(Random[21, 7800000], i, 1, 100) → randomNos2, {3670499, 6446012, 3247848, 7457827, 1052986, 4691109, 3007710, 675229, 7497382, 1103177, 2369770, 6503226, 1389245, 7630749, 2814478, 4322669, 2083856, 4968556, 4515383, 2406449, 2277549, 5710742, 6071218, 5070532, 309299, 2292523, 7020972, 7443963, 2353574, 7711673, 2520068, 1733574, 734274, 573248, 4738140, 2789195, 7029028, 907311, 2234894, 4397055, 1595580, 6097648, 896001, 3041588, 4963038, 2363102, 6644151, 2360739, 657456, 7440551, 2358267, 5375997, 1440321, 7410876, 2200958, 797806, 2885400, 5865773, 1127327, 6343753, 1793460, 4560477, 4143727, 7328559, 1684908, 6246467, 6654637, 3255629, 7484846, 3561537, 4904707, 6069448, 2363489, 3468058, 7429935, 4435721, 5822685, 2482455, 6034866, 2792892, 5454113, 2197435, 2964572, 7626386, 4302363, 4842035, 677333, 6266208, 1607134, 2505185, 5063914, 2194042, 724853, 4346129, 6618463, 7718446, 5485432, 1883901, 441441, 5816505}
Element(randomNos2, Mod[count, 100] + 1) → valMM
NumberSeparationComma(valMM) → valMM1
NumberSeparationComma(valCM) → valCM1
NumberSeparationComma(valDM) → valDM1
NumberSeparationComma(valM) → valM1
NumberSeparationComma(valKM) → valKM1
Sequence(RandomElement[(1…5) \ {randomNos1(i)}], i, 1, 100) → randomNos3, {3, 2, 4, 1, 5, 1, 5, 4, 3, 5, 3, 3, 4, 3, 3, 3, 2, 5, 3, 5, 3, 5, 5, 4, 4, 3, 4, 4, 2, 1, 2, 3, 1, 3, 4, 2, 4, 3, 5, 1, 1, 1, 5, 3, 3, 5, 5, 1, 1, 5, 3, 1, 3, 1, 1, 5, 5, 4, 1, 3, 1, 3, 5, 1, 3, 1, 5, 3, 3, 3, 3, 5, 5, 1, 5, 3, 5, 5, 2, 3, 4, 3, 1, 2, 1, 5, 1, 1, 4, 4, 1, 2, 1, 5, 2, 3, 1, 1, 5, 2}
Midpoint(Corner[answerCorrect, 1], Corner[answerCorrect, 3]) → M1
Shuffle(Flatten[Sequence[Sequence["\textsf{\fcolorbox{#000}{#fff}{" + (Element[vals1, Element[(1…5) \ {unitInd, Element[(1…5) \ {unitInd}, i]}, j]]) + " " + (Element[units, Element[(1…5) \ {unitInd}, i]]) + "}}", j, 1, 3], i, 1, 4]]) → l1, {"\textsf{\fcolorbox{#000}{#fff}{7 029,028 km}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 dm}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 m}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 cm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 km}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 cm}}", "\textsf{\fcolorbox{#000}{#fff}{7 029,028 dm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 m}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 m}}", "\textsf{\fcolorbox{#000}{#fff}{7 029,028 cm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 dm}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 km}}"}
Midpoint(Corner[text9, 1], Corner[text9, 3]) → M8
Midpoint(Corner[text8, 1], Corner[text8, 3]) → M7
Midpoint(Corner[text7, 1], Corner[text7, 3]) → M6
Midpoint(Corner[text6, 1], Corner[text6, 3]) → M5
Midpoint(Corner[text5, 1], Corner[text5, 3]) → M4
Midpoint(Corner[text4, 1], Corner[text4, 3]) → M3
Midpoint(Corner[text3, 1], Corner[text3, 3]) → M2
Polygon(C, D, E, F) → box, c, d, e, f
Textfield(aInput) → InputBox1
Textfield(bInput) → InputBox2
Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
Sequence(Shuffle[Flatten[Sequence[Sequence[G + ((i * dx), (j * dy)), i, 0, 1], j, 0, 3]]], k, 1, 100) → l3, {{(-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379)}, {(-4.032814719413515, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 4.266229595924379)}, {(-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379)}, {(-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379)}, {(-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 4.266229595924379)}, {(-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379)}, {(-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785)}, {(-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379)}, {(-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 4.266229595924379)}, {(-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379)}, {(-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 3.066229595924379)}, {(-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 4.266229595924379), 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4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 6.666229595924379)}}
Polygon(Corner[answerCorrect, 1], Corner[answerCorrect, 2], Corner[answerCorrect, 3], Corner[answerCorrect, 4]) → solutionBox, g, h, i, j
Zip(Z ∈ box, Z, ListM) → inBox

AI 绘图提示语参考

创建一个几何教学互动界面，包含一个四边形多边形用于演示周长计算。界面中显示多个数值标签，分别以公里、米、分米、厘米等不同单位呈现相同的测量结果，这些数值按照三位分节法格式化显示。提供一个文本输入框供学习者输入答案，下方设置一个矩形区域作为正确答案的反馈显示区域。整体布局呈现网格状排列，包含多个坐标点的分布，界面设计简洁明了，适合5-6年级学生进行长度单位换算和周长计算的课堂练习。

以上提示语为根据原始绘图命令整理而来，仅供参考。