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Zukei Level 4 几何作图

Zukei Level 4 几何作图
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2016-12-31 22:53
多边形概率统计复数几何作图
所属专题 Zukei Game
①本范例演示了多种四边形（如平行四边形、矩形、正方形等）的几何性质与作图方法；②涉及核心数学概念包括概率统计、多边形、幂函数、复数、矩形等；③作图要点运用了Sort, Element, If, Polygon, Length, Intersect, Point, Segment等GeoGebra命令与对象；④适合高中阶段学生及数学爱好者用于学习和探索几何构造。

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