区间表示法练习

区间表示法练习
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2015-11-13 23:04
这个范例演示了区间表示法的概念,涉及不等式。通过使用GeoGebra命令如Polygon、If、Segment等,用户可以练习如何表示给定的不等式区间。该范例适合高中数学教学,帮助学生理解区间表示法的实际应用。

GeoGebra 命令及参数

  1. Polygon((-10.2, -5000), (-10.2, 5000), (-500, 5000), (-500, -5000)) → LeftWhiteBlocker, a, b, c, d
  2. Polygon((10.4, -5000), (10.4, 5000), (500, 5000), (500, -5000)) → RightWhiteBlocker, e, f, g, h
  3. If(RandomLeftPoint < (-10), (-11, 0), (RandomLeftPoint, 0)) → LeftIntervalPoint
  4. If(RandomRightPoint > 10, (11, 0), (RandomRightPoint, 0)) → RightIntervalPoint
  5. Segment(LeftIntervalPoint, RightIntervalPoint) → IntervalLine
  6. If(RandomLeftPoint < (-10), 0, Random[0, 1] + (0 * j)) → LeftIntervalInclude
  7. If(RandomRightPoint > 10, 0, Random[0, 1] + (0 * j)) → RightIntervalInclude
  8. If(RightGuessValue ≟ (-11) ∨ RightGuessValue ≟ (-10), (-0.67798, -2.3692), If[(RightGuessValue ≥ 0) ∧ (RightGuessValue ≤ 9), (0.3, -2.3692), (0, -2.3692)]) → A
  9. If(LeftSymbol ≟ LeftIntervalInclude ∧ RightSymbol ≟ RightIntervalInclude ∧ (LeftGuessValue ≟ RandomLeftPoint ∨ (RandomLeftPoint < (-10)) ∧ LeftGuessValue ≟ (-11)) ∧ (RightGuessValue ≟ RandomRightPoint ∨ (RandomRightPoint > 10) ∧ RightGuessValue ≟ 11), true, false) → Correct
  10. If(Correct, "Correct!", "Incorrect") → text3
  11. Segment(CenterPoint, (11, 0)) → PositiveAxis
  12. Segment(CenterPoint, (-11, 0)) → NegativeAxis
  13. Segment((-11, 0), (-10, 1)) → TopArrowHeadLeft
  14. Segment((-11, 0), (-10, -1)) → BottomArrowHeadLeft
  15. Segment((11, 0), (10, 1)) → TopArrowHeadRight
  16. Segment((11, 0), (10, -1)) → BottomArrowHeadRight
  17. Segment((11, 0), (10, 1)) → TopArrowHeadRightRed
  18. Segment((11, 0), (10, -1)) → BottomArrowHeadRightRed
  19. Segment((-11, 0), (-10, 1)) → TopArrowHeadLeftRed
  20. Segment((-11, 0), (-10, -1)) → BottomArrowHeadLeftRed