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Zukei Level 3 几何构造

Zukei Level 3 几何构造
几何画板及绘图内容加载中，请稍等……
2016-12-31 22:52
多边形解析几何最值优化几何作图
所属专题 Zukei Game
①本范例演示多边形的几何构造与性质分析；②涉及核心数学概念包括代数、分布、积分、同余、线性规划、几何图形分类（如平行四边形、梯形、菱形、矩形、正方形）；③构造过程中运用了Sort, Element, If, Polygon, Length, Intersect, Point, Segment等GeoGebra命令与对象，如判断四边形类型isQuad、对角线构造与性质等；④适合高中及以上数学学习者，用于理解几何作图与优化问题。

GeoGebra 命令及参数

  1. Sort(triSides) → TriSidesSort
  2. Element(TriSidesSort, 1) → sideA
  3. Element(TriSidesSort, 2) → sideB
  4. Element(TriSidesSort, 3) → sideC
  5. Element(answerList, numQuestion) → question
  6. If(square, "Square", isoTrapezoid, "Isosceles Trapezoid", trapezoid, "Trapezoid", isQuad, "Quadrilateral", " ", rectangle, "Rectangle", rhombus, "Rhombus", parallelogram, "Parallelogram", kite, "Kite") → quadText
  7. Polygon(A, F, F_6, A_6) → poly1, f, g, h, i
  8. Length(list6) → a
  9. If(triRight, "Right", triAcute, "Acute", triObtuse, "Obtuse", " ") → triAngleText
  10. If(triEquilateral, "Equilateral", triIsosceles, "Isosceles", triScalene, "Scalene", " ") → triSideText
  11. If(isQuad, quadText, isTriangle, triText, "blank") → polyText
  12. If(correct, correctText, wrongText) → textCheck
  13. Intersect(h, i) → G
  14. Intersect(g, h) → H
  15. Polygon(G, H, I, J) → poly2, g_1, h_1, i_1, j
  16. Point(j) → K
  17. Point(h_1) → L
  18. Segment(K, L) → l
  19. If(triIsosceles ∨ triEquilateral ∨ isoTrapezoid, "an", "a") → anText2
  20. If(question ≟ "Isosceles Right Triangle" ∨ question ≟ "Isosceles Triangle", "an", "a") → anText1
  21. If(triIsosceles, "Isosceles", "") → triIsoscelesText
  22. If(triRight ∧ triIsosceles, "Isosceles Right Triangle", triRight, "Right Triangle", triIsosceles, "Isosceles Triangle", triText) → triRightText
  23. If(isQuad, quadText, isTriangle, triRightText, "blank") → polyTextAlt