多边形构造 Compass 4

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2018-04-09 19:53

所属专题 Quadrilateral Constructions

①本范例演示了利用 Compass 4 进行多边形构造的过程；②涉及的核心数学概念包括线性函数、割线、分形几何、条形图、梯形等；③作图要点提炼自 GeoGebra 命令：Sort, Element, If, diagBisect, diagCongruent, diagPerpendicular, opp1Parallel, opp2Parallel, diagBisectOnce, isQuad, lengthA, lengthB, lengthC, parallelogram, rectangle, rhombus, square, trapezoid, triSides, TriSidesSort, sideA, sideB, sideC, isoTrapezoid, kite, quadText, isTriangle, triAcute, triEquilateral, triIsosceles, triObtuse, triRight, triScalene, triSideText, triAngleText, triText, polyText；④适合高中阶段学生学习和理解多边形构造方法及几何性质。

GeoGebra 命令及参数

Sort(triSides) → TriSidesSort
Element(TriSidesSort, 1) → sideA
Element(TriSidesSort, 2) → sideB
Element(TriSidesSort, 3) → sideC
If(square, "Square", isoTrapezoid, "Isosceles Trapezoid", trapezoid, "Trapezoid", isQuad, "Quadrilateral", " ", rectangle, "Rectangle", rhombus, "Rhombus", parallelogram, "Parallelogram", kite, "Kite") → quadText
If(triEquilateral, "Equilateral", triIsosceles, "Isosceles", triScalene, "Scalene", " ") → triSideText
If(triRight, "Right", triAcute, "Acute", triObtuse, "Obtuse", " ") → triAngleText
If(isQuad, quadText, isTriangle, triText, "") → polyText