基础运算与括号规则:用GeoGebra演示数学计算

基础运算与括号规则:用GeoGebra演示数学计算
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2024-03-06 15:42
这个范例展示了如何使用基本运算和括号规则进行数学计算。它涉及的核心数学概念包括运算顺序、括号优先级以及如何正确应用这些规则。在作图要点中,提到了使用GeoGebra命令如If、Join、Point等来构建计算过程。适合小学五年级到六年级学生,用于练习数学运算和理解括号规则。

GeoGebra 命令及参数

  1. If(startpage, J1, J2) → J
  2. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]) → listExNums
  3. If(Defined[input4], input4 ≟ sol1 ∧ input5 ≟ sol2 ∧ input6 ≟ sol3, input5 ≟ (sol1 * sol3) + sol2 ∧ input6 ≟ sol3) → correct3
  4. Point(Line[P0, xAxis]) → P1
  5. Point(Line[P0, xAxis]) → P2
  6. Point(Line[P0, xAxis]) → P3
  7. Point(Line[P0, xAxis]) → P4
  8. Point(Line[P0, xAxis]) → P5
  9. Element({P1, P2, P3, P4, P5}, exnum) → P
  10. Textfield(input1) → InputBox1
  11. Textfield(input2) → InputBox2
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {0, 3, 10, 10, 9, 1, 9, 3, 6, 2, 1, 8, 2, 0, 7, 10, 8, 9, 0, 5, 9, 5, 0, 8, 3, 2, 0, 10, 0, 8, 9, 3, 2, 0, 7, 10, 7, 3, 1, 2, 8, 3, 9, 8, 4, 10, 4, 6, 1, 10, 9, 8, 1, 4, 8, 4, 6, 10, 3, 0, 4, 4, 10, 6, 5, 6, 7, 7, 9, 3, 6, 2, 5, 7, 1, 7, 2, 0, 5, 10, 4, 0, 2, 8, 8, 4, 8, 6, 6, 4, 10, 3, 6, 1, 10, 8, 8, 10, 8, 7}
  13. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {3, 3, 4, 3, 10, 1, 4, 8, 2, 1, 1, 4, 10, 3, 9, 6, 8, 0, 7, 2, 5, 3, 3, 8, 0, 2, 7, 7, 8, 5, 3, 9, 3, 3, 1, 0, 3, 4, 2, 5, 0, 2, 9, 1, 4, 0, 7, 6, 3, 8, 7, 3, 4, 5, 0, 6, 4, 0, 5, 2, 3, 8, 0, 2, 9, 5, 0, 6, 6, 4, 0, 8, 7, 6, 8, 4, 3, 10, 8, 8, 8, 0, 5, 3, 0, 5, 7, 8, 6, 8, 10, 0, 1, 1, 3, 10, 6, 5, 6, 5}
  15. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  16. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  17. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  18. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  19. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  20. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  21. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  22. Defined(If[showHintKurzen, (input6 * input5), (input2 * input3)]) → fixed
  23. LaTeX(exnum, true, true) → Text3
  24. Textfield(input3) → InputBox3
  25. Textfield(input5) → InputBox5
  26. Textfield(input6) → InputBox6
  27. Point(Line[P, xAxis]) → Q
  28. Textfield(input4) → InputBox4
  29. If(showHintKurzen ∧ kurzen, P + (3.5, -0.5), P + (1.5, -0.5)) → S
  30. If(sol ≥ 1, "#006758", "#ffffff") → color1
  31. If(sol ≥ 2, "#006758", "#ffffff") → color2
  32. If(sol ≥ 3, "#006758", "#ffffff") → color3
  33. If(sol ≥ 4, "#006758", "#ffffff") → color4
  34. If(sol ≥ 5, "#006758", "#ffffff") → color5
  35. Polygon(B, C, D, E) → v1, b, c, d, e
  36. Textfield(test1) → Eingabefeld1
  37. Textfield(test2) → Eingabefeld2
  38. Textfield(test3) → Eingabefeld3
  39. Textfield(test4) → Eingabefeld4
  40. Textfield(test5) → Eingabefeld5
  41. Textfield(test6) → Eingabefeld6
  42. Point(Line[H, xAxis]) → I
  43. SpeechBubbleLeft(J, 6.3, 0.75) → Vieleck1
  44. If(sol ≥ 6, "#006758", "#ffffff") → color6
  45. Sequence(K + (0, (m * abssol)), m, 1, maxsol) → listPointsSol
  46. SpeechBubbleLeft(J, 7.3, 1.7) → Vieleck2

AI 绘图提示语参考

画一个包含多个多边形的图形,包括一个六边形和一个五边形,两个多边形之间有一个直线连接。图形中有多个点和文本框,用于输入和显示信息。请根据给定的随机数生成多边形的顶点坐标,并根据用户输入的值计算和显示结果。
以上提示语为根据原始绘图命令整理而来,仅供参考。