矩形面积计算演示

几何画板及绘图内容加载中，请稍等……

2018-12-12 04:16

几何作图

①本范例演示了如何通过动态图形计算矩形的面积；②涉及核心数学概念包括面积、矩形、平面几何、除法、反射、正方形和特殊点；③构造要点使用了Point（点）、Join（连接）、LaTeX（公式）、Polygon（多边形）、Sequence（序列）、TableText（表格文本）、Segment（线段）等GeoGebra命令和对象；④适合初中及以上学生学习和理解几何图形面积计算方法。

GeoGebra 命令及参数

Point(Segment[(2, 0), (13, 0)]) → S
Join({Sequence["white", i, 1, width - 1], {"#fff59d"}, Sequence["white", i, width + 1, Max[13, width + 1]]}) → RowColours
LaTeX("\text{\textbf{Instructions: }Move the slider to change the width of the rectangle.}") → SpecInstruc
Polygon(D, A, B, C) → q1, d, a, b, c
Sequence(Sequence[(((("\cellcolor{" * Element[RowColours, j]) * "}{") * Element[tblVals, i, j]) * "}"), i, 1, 3], j, 1, maxWidth) → ListData
Join({ListHeader, ListData}) → FullList
TableText(FullList, "|111_111111111111l") → displayTbl
Segment(A + (-2, 0), B + (2, 0)) → base
LaTeX((((((((((("\text{Width = }" * width) * "\\") * "\text{Length = }") * length) * "\\") * "\text{Sum of 3 sides = }") * sum3Sides) * "\\") * "\text{Area = }") * fixedArea)) → DisplayOutput
LaTeX("\text{\textbf{Question: }The rectangle pictured below has a fixed area. Consider the length, the \\area, and sum of the \(3\) side lengths of the rectangle, excluding the bottom side. \\How do changes in the width of the rectangle affect these values? What are \\the dimensions of the rectangle when the sum of the \(3\) side lengths is a minimum?}") → MainInstruc
LaTeX(((MainInstruc * "\\") * SpecInstruc)) → CompleteInstruc
Segment((2, 0), (13, 0)) → mySlider