数轴上的点 by Walch Education

数轴上的点 by Walch Education
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2015-11-09 23:59
本示例展示了如何在数轴上绘制一组数。核心数学概念包括数轴、实数集和点的位置。使用了Point、Segment、Sort、Sequence等GeoGebra命令。适合初中及以上学生学习实数集的概念。

GeoGebra 命令及参数

  1. Point(xAxis) → B
  2. Point(xAxis) → C
  3. Segment(B, C) → a
  4. Segment((0, 0), (0, 1)) → i
  5. LaTeX("\text{Plot the set of numbers on the same number line.}") → Quest1
  6. LaTeX("\text{Identify the least and greatest number in the set of numbers.}") → Pg1A
  7. LaTeX("\text{Use the results to determine the scale.}") → Pg1E
  8. Sort(list3) → Asort
  9. Element(Asort, 1) → sort1
  10. Element(Asort, 5) → sort2
  11. LaTeX((((((((((("\text{ \textcolor{#000099}{\left\{" * P1) * ",") * P2) * ",") * P3) * ",-") * CM) * ",") * P5) * "\right\}}")) → Question1B
  12. LaTeX("\text{line that are less than the least number and greater than the}") → Pg2G
  13. LaTeX("\text{greatest number.For this number line,include tick marks from}") → Pg2H
  14. Sequence(Segment[A + (i, 0), A + (i, 0.5)], i, -3, 7) → list1
  15. Sequence(Segment[A + (i, 0), A + (i, (-0.5))], i, -3, 7) → list2
  16. LaTeX("\text{\textcolor{#000099}{–3} to \textcolor{#000099}{7}.Including these values,there are \textcolor{#000099}{11} integers between}") → Pg2I
  17. LaTeX("\text{\textcolor{#000099}{–3} and \textcolor{#000099}{7}.Place \textcolor{#000099}{11} tick marks on the number line and label from}") → Pg2J
  18. LaTeX("\text{\textcolor{#000099}{–3} to \textcolor{#000099}{7},with enough space in between to allow for marking the “half”}") → Pg2K
  19. LaTeX("\text{and “quarter” values in the set.Note that,in this case,labeling the tick}") → Pg2L
  20. LaTeX("\text{marks in increments of \textcolor{#000099}{0.5} or \textcolor{#000099}{0.25} instead of \textcolor{#000099}{1} would make the number}") → Pg2M
  21. LaTeX("\text{line harder to read.}") → Pg2N
  22. LaTeX("\text{Plot each point.}") → Pg3A
  23. LaTeX("\text{Place a point at the location of each number.}") → Pg3B
  24. LaTeX((((((((((("\text{The values given are \textcolor{#000099}{" * P1) * ",") * P2) * ",") * P3) * ",-") * CM) * "\;and\;") * P5) * "}.}")) → Pg3C
  25. LaTeX((((("\text{Plot the points at the whole-number values \textcolor{#000099}{" * P1) * "} and \textcolor{#000099}{") * P5) * "}.The three}")) → Pg3D
  26. LaTeX("\text{remaining values are either decimals or fractions,so use estimation}") → Pg3E
  27. LaTeX("\text{to plot them between the tick marks on the number line.Estimate}") → Pg3F
  28. LaTeX((((((((((("\text{halfway between\textcolor{#000099}{" * CP2) * "} and\textcolor{#000099}{") * FP2) * "} for \textcolor{#000099}{") * P2) * "},halfway between \textcolor{#000099}{") * FP3) * "} and \textcolor{#000099}{") * CP3) * "}}")) → Pg3G
  29. If(P4 ≟ 2, LaTeX[(((((((((("\text{ \textcolor{#000099}{\left\{" * P1) * ",") * P2) * ",") * P3) * ",-") * 2) * ",") * P5) * "\right\}}")], LaTeX[(((((((((("\text{ \textcolor{#000099}{\left\{" * P1) * ",") * P2) * ",") * P3) * ",-") * CM) * ",") * P5) * "\right\}}")]) → IF1
  30. If(P4 ≠ 2, LaTeX[(((("\text{(Recall that\textcolor{#000099}{-" * CM) * "} is equal to \textcolor{#000099}{–") * P4) * "}.)}")]) → Pg3I
  31. If(P4 ≠ 2, LaTeX[(((("\text{Plot the points at the whole-number values \textcolor{#000099}{" * P1) * "} and \textcolor{#000099}{") * P5) * "}.The three}")], LaTeX[(((("\text{Plot the points at the whole-number values \textcolor{#000099}{" * P1) * "},\textcolor{#000099}{") * P5) * "} and\textcolor{#000099}{-2}.The two}")]) → Ifpg3D
  32. If(P4 ≟ 1.25, LaTeX[(((((((("\text{for \textcolor{#000099}{" * P3) * "},and one-fourth of the way between \textcolor{#000099}{–") * FP4) * "} and \textcolor{#000099}{–") * CP4) * "} for\textcolor{#000099}{- ") * CM) * "}.}")]) → Pg3HIf
  33. If(P4 ≟ 1.5, LaTeX[(((((((("\text{for \textcolor{#000099}{" * P3) * "},and half of the way between \textcolor{#000099}{–") * FP4) * "} and \textcolor{#000099}{–") * CP4) * "} for\textcolor{#000099}{- ") * CM) * "}.}")]) → Pg3H1f2
  34. If(P4 ≟ 1.75, LaTeX[(((((((("\text{for \textcolor{#000099}{" * P3) * "},and three-fourth of the way between \textcolor{#000099}{–") * FP4) * "} and \textcolor{#000099}{–") * CP4) * "} for\textcolor{#000099}{- ") * CM) * "}.}")]) → Pg3Hif3
  35. If(P4 ≟ 2, LaTeX[(("\text{for \textcolor{#000099}{" * P3) * "}.}")]) → Pg3HIf4
  36. If(P4 ≟ 2.25, LaTeX[(((((((("\text{for \textcolor{#000099}{" * P3) * "},and one-fourth of the way between \textcolor{#000099}{–") * CP4) * "} and \textcolor{#000099}{–") * FP4) * "} for\textcolor{#000099}{- ") * CM) * "}.}")]) → Pg3Hif5
  37. If(P4 ≟ 2.5, LaTeX[(((((((("\text{for \textcolor{#000099}{" * P3) * "},and half of the way between \textcolor{#000099}{–") * CP4) * "} and \textcolor{#000099}{–") * FP4) * "} for\textcolor{#000099}{- ") * CM) * "}.}")]) → Pg3Hif6
  38. LaTeX("\text{\mathbf{Domain} the set of all input values (\textcolor{#000099}{x}-values) that satisfy the given function}") → WTk1
  39. LaTeX("\text{without restriction.}") → WTK2
  40. If(P4 ≟ 2 ∧ (P2 ≟ (-2.5) ∨ P2 ≟ (-3.5)), LaTeX[(((("\text{The least number is\textcolor{#000099}{" * sort1) * "} and the greatest number is \textcolor{#000099}{") * sort2) * "}.Therefore,}")], LaTeX[(((("\text{The least number is\textcolor{#000099}{" * sort1) * "} and the greatest number is \textcolor{#000099}{") * sort2) * "}.Therefore,}")]) → Pg1B
  41. If(P4 ≟ 2 ∧ (P2 ≟ (-2.5) ∨ P2 ≟ (-3.5)), LaTeX[(((("\text{The data ranges from\textcolor{#000099}{" * sort1) * "} to \textcolor{#000099}{") * sort2) * "}.Include numbers on the number}")], LaTeX[(((("\text{The data ranges from\textcolor{#000099}{" * sort1) * "} to \textcolor{#000099}{") * sort2) * "}.Include numbers on the number}")]) → Pg2F
  42. If(P4 ≟ 2 ∧ (P2 ≟ (-2.5) ∨ P2 ≟ (-3.5)), LaTeX[(((("\text{the number line must include numbers ranging from\textcolor{#000099}{" * sort1) * "} to \textcolor{#000099}{") * sort2) * "}.}")], LaTeX[(((("\text{the number line must include numbers ranging from\textcolor{#000099}{" * sort1) * "} to \textcolor{#000099}{") * sort2) * "}.}")]) → Pg1C
  43. If(P4 ≟ 2, LaTeX[(((((((((("\text{The values given are \textcolor{#000099}{" * P1) * ",") * P2) * ",") * P3) * ",-") * 2) * "},and \textcolor{#000099}{") * P5) * "}.}")], LaTeX[(((((((((("\text{The values given are \textcolor{#000099}{" * P1) * ",") * P2) * ",") * P3) * ",-") * CM) * "},and \textcolor{#000099}{") * P5) * "}.}")]) → IfPg3c