圆面积与周长计算活动

圆面积与周长计算活动
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2011-12-05 00:12
①本范例演示如何通过 GeoGebra 创建分层活动,用于计算圆的面积与周长;②涉及的核心数学概念包括圆的面积公式、周长公式、几何作图等;③构造要点提炼自命令摘要,使用了 Circle(圆)、Intersect(交点)、Random(随机)、If(条件)、Segment(线段)等 GeoGebra 命令与对象;④适合初中及以上数学教学,用于几何计算与作图技能训练。

GeoGebra 命令及参数

  1. Circle(D, E) → e
  2. Intersect(xAxis, yAxis) → Centre
  3. Circle(Centre, A) → d
  4. Random(1, 10) → rad1
  5. Circle(Centre, rad1) → c
  6. If(c ≟ e, 10, 0) → checklv2
  7. If(c ≟ d, 10, 0) → checklv1
  8. Random(1, 2) → decision
  9. Segment(C, B) → a
  10. Random(1, 2) → decision2
  11. If(decision2 ≟ 1, "Draw a circle with area of " + area1 + "π", "Draw a circle with circumference = " + circumf1 + "π") → text2
  12. If(LevelCurrent ≟ 1, checklv1, checklv2) → check1
  13. Segment(Centre, A) → b
  14. If(check1 ≟ 10, "Yes! Well Done. Click for next question.", "Bad Luck. Click to start again.") → text3
  15. If(LevelCount ≟ 5, "Well done, you've reached the next level.", "You need " + LevelRemain + " questions in a row to level up.") → text4
  16. Segment(E, F) → f