解数学谜题

几何画板及绘图内容加载中，请稍等……

2022-01-31 16:43

所属专题 Wiederholung: Variablen, Terme und Gleichungen Gleichungen lösen mit Umkehroperationen

这个范例演示了如何通过 GeoGebra 构建和解决数学谜题。涉及的核心数学概念包括方程的建立和线性方程在实际情况中的应用。范例使用了 GeoGebra 命令如 Textfield, Shuffle, Element, Random, If, SelectedIndex, Polygon, SpeechBubbleRight 等。适合小学 5-6 年级学生使用，用于练习和巩固数学技能。

GeoGebra 命令及参数

Textfield(aInput) → InputBox1
Shuffle(Sequence[Random[1, 25], i, 1, 100]) → randomNos4, {12, 9, 11, 14, 7, 12, 1, 7, 9, 23, 3, 15, 25, 12, 24, 9, 5, 14, 11, 25, 14, 10, 25, 7, 6, 25, 12, 20, 3, 16, 25, 2, 23, 24, 12, 3, 15, 3, 14, 1, 2, 5, 12, 11, 16, 14, 2, 11, 4, 11, 1, 25, 17, 22, 1, 19, 13, 12, 24, 2, 16, 14, 9, 19, 23, 18, 8, 20, 7, 13, 10, 9, 11, 11, 20, 9, 7, 7, 7, 10, 14, 24, 13, 14, 9, 1, 20, 16, 11, 10, 19, 7, 16, 9, 10, 2, 22, 10, 9, 23}
Element(randomNos4, Mod[count, 100] + 1) → num2y
Random(2, floor(100 / num2y)) → num2a
Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNos3, {30, 69, 80, 20, 30, 1, 10, 56, 91, 17, 40, 98, 11, 64, 73, 90, 66, 83, 64, 59, 67, 53, 13, 97, 35, 3, 65, 5, 51, 54, 6, 18, 61, 68, 93, 88, 85, 25, 62, 38, 67, 38, 29, 30, 85, 50, 89, 9, 54, 18, 7, 24, 26, 66, 98, 29, 94, 97, 18, 94, 60, 11, 37, 85, 70, 7, 17, 28, 93, 79, 19, 7, 75, 51, 42, 12, 16, 72, 32, 46, 39, 66, 72, 54, 23, 57, 93, 60, 11, 81, 22, 51, 72, 95, 78, 19, 58, 86, 16, 60}
Element(randomNos3, Mod[count, 100] + 1) → numz
Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNos2, {49, 79, 59, 84, 49, 62, 18, 85, 64, 60, 36, 22, 56, 88, 86, 6, 67, 93, 93, 79, 21, 45, 7, 39, 54, 11, 87, 39, 15, 26, 67, 77, 20, 59, 54, 28, 98, 9, 24, 83, 92, 11, 19, 31, 95, 5, 7, 34, 30, 46, 3, 82, 45, 37, 87, 57, 37, 60, 94, 42, 90, 46, 64, 35, 41, 45, 65, 61, 65, 33, 38, 63, 35, 72, 64, 53, 94, 7, 99, 13, 26, 59, 95, 31, 15, 37, 2, 2, 89, 16, 78, 88, 28, 37, 67, 42, 45, 62, 15, 98}
Element(randomNos2, Mod[count, 100] + 1) → numy
If(numz > numy, numz, numy) → chosenz
If(numz > numy, numy, numz) → choseny
SelectedIndex(rechenzeichen) → selectedIndex
Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNos1, {10, 85, 95, 98, 92, 3, 54, 18, 70, 1, 76, 50, 6, 24, 22, 26, 32, 62, 58, 65, 22, 24, 93, 80, 71, 89, 1, 90, 13, 26, 65, 23, 90, 77, 62, 84, 42, 69, 99, 38, 48, 79, 39, 7, 64, 19, 46, 24, 83, 53, 27, 50, 78, 75, 34, 46, 46, 44, 83, 2, 33, 65, 47, 64, 29, 73, 81, 12, 55, 94, 32, 20, 89, 19, 4, 59, 49, 30, 80, 23, 32, 40, 6, 14, 58, 16, 22, 39, 98, 25, 19, 70, 44, 57, 99, 14, 19, 16, 5, 87}
Element(randomNos1, Mod[count, 100] + 1) → numa
SpeechBubbleRight((2.1, 4.5), 4, 1) → poly1
Polygon(PtopLeftCornerFeedback_{1}, PtopRightCornerFeedback_{1}, PbottomRightCornerFeedback_{1}, PbottomLeftCornerFeedback_{1}) → rectangleCorrect_{1}, ptopleftcornerfeedback_{1}, ptoprightcornerfeedback_{1}, pbottomrightcornerfeedback_{1}, pbottomleftcornerfeedback_{1}
Textfield(eInput) → InputBox2
Textfield(fInput) → InputBox3
Textfield(gInput) → InputBox4
If(questionShuffel ≟ 1, cor1, If[questionShuffel ≟ 2, cor2, If[questionShuffel ≟ 3, cor3, If[questionShuffel ≟ 4, cor4, If[questionShuffel ≟ 5, cor5, If[questionShuffel ≟ 6, cor6, If[questionShuffel ≟ 7, cor7, cor8]]]]]]) → gleichung

AI 绘图提示语参考

在画布中构造一个“数字谜题”风格的几何场景：先生成一组随机整数作为谜题数字来源，并从其中逐步挑选出用于比较与配对的数值，形成两个候选数字以及最终用于显示的选择结果。随后用四个角点围成一个矩形区域；在其上方依次叠加另一组反馈矩形（可表现为同样的四边形位置关系，用于对比正确与纠正区域）。在矩形附近添加可输入的文本框，分别用于输入方程中的变量或数字，同时在场景中放置用于标注的对话气泡样式图形以引导解题。最后在适当位置呈现一个由所选数值组合成的方程文本。

以上提示语为根据原始绘图命令整理而来，仅供参考。