纸团射击高度分析

纸团射击高度分析
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2014-11-04 01:05
该范例展示了三位学生用橡皮筋投掷纸团,瞄准教室前方的垃圾桶时的高度变化。通过解析几何和参数方程,分析纸团的抛物线轨迹。使用了if语句、多边形、表格文本等GeoGebra命令,适合高中数学教学。

GeoGebra 命令及参数

  1. If(gHt1 ≟ 0, 1, gHt1) → ga1
  2. If(fa ≟ 0, 1, fa) → fa1
  3. If(ConT ≟ 0, 1, ConT) → MaskTerm1
  4. Polygon((Edge, y(Corner[1])), Corner[2], Corner[3], (Edge, y(Corner[4]))) → Mask, a, b, c, d
  5. TableText({{x, gVertx - 3, gVertx - 1, gVertx, gVertx + 1}, {"y", gHt3, gHt2, gHt1, gHt2}}, "c|_") → MelissaTable
  6. Max({Vay, ConHt, gHt1}) → VHigh
  7. Min({Vay, ConHt, gHt1}) → VLow
  8. If(Vay > Max[gHt1, ConHt], Max[gHt1, ConHt], If[Vay < Min[gHt1, ConHt], Min[gHt1, ConHt], Vay]) → VMid
  9. If(Vay > gHt1, If[Vay > ConHt, 1, 3], If[gHt1 > ConHt, 2, 3]) → NameChoice