平行四边形面积计算 - 初级

平行四边形面积计算 - 初级
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2024-02-06 17:40
本范例演示如何通过网格计算平行四边形的面积。核心数学概念包括平行四边形的面积公式。使用GeoGebra命令如Polygon、Segment、Intersect等进行构造。适合小学五年级至六年级学生练习和理解平行四边形面积的计算方法。

GeoGebra 命令及参数

  1. Shuffle(Sequence[Random[7, coordheight - 2], m, 1, 100]) → randomNosForX, {9, 8, 10, 10, 7, 7, 8, 9, 7, 8, 10, 8, 7, 7, 7, 10, 10, 8, 8, 10, 10, 10, 8, 9, 10, 9, 8, 9, 7, 9, 8, 10, 8, 10, 8, 8, 10, 8, 7, 10, 10, 9, 10, 10, 7, 9, 9, 7, 9, 8, 9, 8, 7, 7, 7, 7, 10, 7, 10, 10, 9, 10, 10, 10, 7, 9, 9, 10, 10, 10, 8, 9, 7, 9, 10, 8, 7, 9, 8, 10, 10, 10, 7, 10, 9, 9, 9, 7, 9, 7, 7, 7, 7, 10, 8, 8, 10, 9, 10, 10}
  2. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  3. Shuffle(Sequence[Random[4, coordwidth - 2], m, 1, 100]) → randomNosForY, {10, 6, 7, 9, 8, 10, 8, 5, 7, 9, 9, 5, 7, 5, 7, 8, 10, 10, 8, 7, 7, 4, 9, 9, 7, 4, 7, 10, 9, 6, 7, 4, 5, 5, 10, 9, 9, 7, 9, 9, 9, 6, 10, 7, 10, 8, 6, 10, 5, 8, 10, 7, 10, 10, 7, 6, 10, 6, 5, 5, 9, 8, 4, 5, 5, 8, 6, 8, 7, 10, 6, 4, 4, 6, 9, 9, 9, 5, 9, 7, 5, 7, 5, 9, 8, 8, 5, 9, 5, 4, 7, 9, 6, 9, 5, 8, 7, 6, 5, 7}
  4. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  5. Textfield(input1) → InputBox1
  6. Textfield(input2) → InputBox2
  7. Shuffle(Sequence[i, i, 6, 12] \ {axold}) → AxList, {6, 7, 12, 9, 11, 8, 10}
  8. Shuffle(Sequence[i, i, 1, 12] \ {ax - 2, ax - 1, ax, ax + 1, ax + 2}) → CxList, {12, 9, 3, 2, 10, 11, 1}
  9. Shuffle(Sequence[i, i, 2, abs(cx - ax)] \ {abs(cx - ax)}) → LaengeaList, {5, 3, 4, 2}
  10. Shuffle(Sequence[i, i, 1, 9] \ {ayold}) → AyList, {6, 5, 2, 7, 8, 3, 1, 4, 9}
  11. Shuffle(Sequence[i, i, 1, 12] \ {ay - 2, ay - 1, ay, ay + 1, ay + 2}) → CyList, {3, 2, 9, 12, 11, 10, 1}
  12. If(cx < ax, C + (size * (laengea, 0)), C - (size * (laengea, 0))) → B
  13. If(cx < ax, A - (size * (laengea, 0)), A + (size * (laengea, 0))) → D
  14. Polygon(C, B, A, D) → v2, j, k, l, m
  15. OrthogonalLine(D, l) → n
  16. Intersect(n, Line[C, B]) → E
  17. Segment(D, E) → p
  18. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  19. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  20. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  21. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  22. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  23. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  24. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  25. Defined(input3) → fixed
  26. Flatten(Sequence[Sequence[O + (m * (size, 0)) + (j * (0, size)), m, 0, coordwidth - 1], j, 0, coordheight - 1]) → listPoints
  27. Zip(Polygon[P, P + (0, size), P + (0, size) + (size, 0), P + (size, 0)], P, listPoints) → listCoords
  28. Segment(P1, P3) → es
  29. Random(2, numX - 2) → prop
  30. Segment(P4, P2) → fs
  31. Segment(G1, G2) → g
  32. Translate(Segment[(0, -0.1), (0, 0.1)], G1) → h
  33. Translate(Segment[(0, -0.1), (0, 0.1)], G2) → i
  34. Intersect(es, fs) → S
  35. Textfield(input3) → InputBox3
  36. Shuffle({1, 2}) → ModusList, {2, 1}
  37. If(y(C) < y(D), Midpoint[C, B], Midpoint[D, A]) → MittelpunktUnten
  38. If(x(A) > x(D), Midpoint[A, B], Midpoint[D, C]) → MittelpunktRechts
  39. Midpoint(D, B) → M
  40. Text(BeschTextb, F, false, true, 0, 0) → Text3
  41. Text(BeschTexta, G, false, true, 0, 0) → Text4
  42. If(x(E) > x(B) ∧ y(B) > y(A) ∨ x(B) < x(E) ∧ y(B) < y(A), Midpoint[p] - (0.2, 0), Midpoint[p] + (0.2, 0)) → H
  43. Text(BeschTexth, H, false, true, 0, 0) → Text8
  44. Segment(C, E) → hintCE
  45. Segment(B, E) → hintBE
  46. Angle(A, D, E) → α
  47. Angle(C, E, D) → β
  48. Angle(D, E, C) → γ
  49. Angle(E, D, A) → δ
  50. Distance(H, F) → diff
  51. If(x(A) < x(D), Midpoint[A, B], Midpoint[D, C]) → MittelpunktLinks
  52. Text(BeschTextb, I, false, true, 0, 0) → Text16

AI 绘图提示语参考

在坐标网格上绘制一个平行四边形,其底边水平,顶点由随机坐标确定。从底边的一个顶点向对边作垂线,标出垂足,并画出这条高。用虚线或辅助线标出底边和高的长度,在图形旁显示面积公式。网格背景清晰,每个小方格为单位长度,便于计算面积。图形包含平行四边形、垂线、垂足标记,以及用于提示的辅助线段。
以上提示语为根据原始绘图命令整理而来,仅供参考。