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计算特殊四边形的面积

计算特殊四边形的面积
几何画板及绘图内容加载中，请稍等……
2023-12-05 23:34
多边形解析几何几何作图
所属专题 Trapez - Flächeninhalt
本范例演示如何使用GeoGebra计算特殊四边形（平行四边形、梯形、菱形、正方形）的面积。通过构造摘要中的命令，如Join、Sequence、Zip等，可以清晰地展示作图要点。适合5-6年级学生进行练习。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, 15]) → randomNos
  2. Sequence(m, m, 5, 9) → listPool
  3. Sequence(RandomElement[listPool], m, 1, 110) → randomNosForA, {8, 6, 9, 9, 8, 8, 7, 7, 5, 9, 8, 9, 5, 9, 9, 6, 7, 5, 5, 5, 6, 9, 5, 9, 7, 9, 8, 8, 9, 7, 8, 6, 7, 7, 9, 8, 6, 6, 8, 5, 5, 9, 7, 9, 8, 6, 6, 6, 9, 5, 9, 5, 8, 7, 7, 9, 5, 8, 7, 6, 6, 7, 7, 8, 6, 7, 6, 7, 8, 7, 6, 6, 7, 5, 5, 9, 7, 5, 7, 9, 6, 8, 7, 8, 6, 6, 5, 9, 7, 7, 8, 5, 5, 5, 7, 8, 6, 8, 7, 6, 6, 7, 8, 6, 9, 5, 6, 6, 5, 6}
  4. Sequence(Random[4, 7], m, 1, 110) → randomNosForH, {6, 5, 7, 5, 6, 5, 4, 7, 6, 5, 5, 5, 4, 4, 7, 7, 7, 4, 7, 4, 6, 5, 7, 7, 5, 4, 7, 5, 4, 5, 7, 4, 5, 7, 6, 7, 7, 6, 7, 7, 6, 6, 5, 5, 6, 7, 7, 6, 5, 5, 6, 5, 4, 6, 6, 4, 5, 5, 6, 7, 6, 7, 5, 7, 5, 6, 6, 6, 6, 4, 5, 4, 6, 5, 4, 5, 4, 7, 4, 6, 6, 5, 4, 6, 6, 5, 7, 5, 7, 4, 5, 7, 5, 7, 7, 6, 6, 6, 5, 7, 5, 6, 4, 7, 4, 5, 7, 6, 6, 4}
  5. Sequence((Random[5, 20] * 0.1), m, 1, 110) → randomNosForAbsLinks, {1.1, 0.7000000000000001, 0.6000000000000001, 0.7000000000000001, 2, 1.2000000000000002, 1.9000000000000001, 1.5, 1.1, 0.6000000000000001, 1.7000000000000002, 1.6, 1.5, 1.7000000000000002, 1, 0.5, 0.6000000000000001, 1.9000000000000001, 0.7000000000000001, 1.8, 0.6000000000000001, 2, 1.6, 1.4000000000000001, 2, 1.5, 1.3, 0.7000000000000001, 1.3, 1.2000000000000002, 1.9000000000000001, 0.9, 1, 0.7000000000000001, 1.7000000000000002, 1.5, 1.7000000000000002, 1.6, 0.5, 1.5, 1.3, 1.3, 0.9, 1.1, 1, 1.1, 1.8, 1.4000000000000001, 1.1, 1.6, 1.5, 1.2000000000000002, 0.9, 0.5, 1.4000000000000001, 1.3, 1.1, 1.4000000000000001, 1.1, 1.1, 0.8, 0.5, 1.4000000000000001, 1.6, 1.8, 1.7000000000000002, 1.1, 1.6, 1.4000000000000001, 1.8, 0.8, 1, 0.8, 0.7000000000000001, 1.6, 1.5, 1.2000000000000002, 0.9, 1.8, 1.2000000000000002, 1.8, 1.2000000000000002, 1.3, 0.9, 1.6, 2, 1.1, 1.7000000000000002, 0.6000000000000001, 1.4000000000000001, 1.2000000000000002, 1.8, 1.2000000000000002, 2, 1.6, 0.8, 1.2000000000000002, 0.6000000000000001, 1.8, 0.5, 0.8, 1.2000000000000002, 2, 1.5, 1.9000000000000001, 0.7000000000000001, 0.7000000000000001, 0.8, 1.1, 0.5}
  6. Zip(Random[3, m - 1], m, randomNosForA) → randomNosForC
  7. Sequence(RandomElement[Sequence[0.3, 0.5, 0.01]], m, 1, 110) → randomNosForProp, {0.4200000000000001, 0.5000000000000001, 0.4300000000000001, 0.49000000000000016, 0.31, 0.5000000000000001, 0.4300000000000001, 0.4300000000000001, 0.4100000000000001, 0.49000000000000016, 0.5000000000000001, 0.35000000000000003, 0.34, 0.38000000000000006, 0.33, 0.4300000000000001, 0.4300000000000001, 0.4500000000000001, 0.35000000000000003, 0.4400000000000001, 0.32, 0.39000000000000007, 0.36000000000000004, 0.39000000000000007, 0.35000000000000003, 0.4100000000000001, 0.34, 0.4300000000000001, 0.49000000000000016, 0.4100000000000001, 0.32, 0.37000000000000005, 0.32, 0.33, 0.4200000000000001, 0.4300000000000001, 0.33, 0.34, 0.37000000000000005, 0.36000000000000004, 0.4200000000000001, 0.4400000000000001, 0.38000000000000006, 0.5000000000000001, 0.36000000000000004, 0.48000000000000015, 0.4400000000000001, 0.48000000000000015, 0.4400000000000001, 0.5000000000000001, 0.39000000000000007, 0.33, 0.37000000000000005, 0.34, 0.35000000000000003, 0.4100000000000001, 0.48000000000000015, 0.4100000000000001, 0.48000000000000015, 0.46000000000000013, 0.35000000000000003, 0.4100000000000001, 0.4500000000000001, 0.4400000000000001, 0.3, 0.5000000000000001, 0.4000000000000001, 0.37000000000000005, 0.3, 0.49000000000000016, 0.4500000000000001, 0.32, 0.35000000000000003, 0.31, 0.4000000000000001, 0.39000000000000007, 0.48000000000000015, 0.31, 0.39000000000000007, 0.32, 0.38000000000000006, 0.31, 0.31, 0.4300000000000001, 0.5000000000000001, 0.47000000000000014, 0.49000000000000016, 0.37000000000000005, 0.4300000000000001, 0.4200000000000001, 0.4400000000000001, 0.4500000000000001, 0.46000000000000013, 0.47000000000000014, 0.4400000000000001, 0.34, 0.31, 0.4300000000000001, 0.4500000000000001, 0.32, 0.33, 0.48000000000000015, 0.36000000000000004, 0.34, 0.4200000000000001, 0.49000000000000016, 0.4200000000000001, 0.31, 0.33, 0.38000000000000006}
  8. Textfield(input1) → InputBox1
  9. Textfield(input2) → InputBox2
  10. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  11. Append(true, Sequence[If[randomNosForA(i) ≟ randomNosForA(i - 1), false, true], i, 2, 100]) → stayX
  12. Append(true, Sequence[If[randomNosForC(i) ≟ randomNosForC(i - 1), false, true], i, 2, 100]) → stayY
  13. Remove(Sequence[If[stayX(i), randomNosForA(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  14. Remove(Sequence[If[stayY(i), randomNosForC(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  15. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  16. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  17. Defined(input1) → fixed
  18. NumberSeparationComma((numA * numC)) → numberSeparationZaehler
  19. Intersect(Line[D, yAxis], Line[A, B]) → S
  20. Angle(B, S, D) → α
  21. Segment(D, S) → f
  22. Segment(A, B) → streckea
  23. Segment(C, D) → streckec
  24. If((10 * numD) - floor((10 * numD)) < 0.5, (floor((10 * numD)) * 0.1), (floor((10 * numD)) * 0.1) + 0.1) → numDround
  25. If((10 * numB) - floor((10 * numB)) < 0.5, (floor((10 * numB)) * 0.1), (floor((10 * numB)) * 0.1) + 0.1) → numBround
  26. Segment(B, C) → streckeb
  27. Segment(A, D) → strecked

AI 绘图提示语参考

在坐标平面上画一个特殊四边形的基础构造图，用多边形表示其四个顶点并连接成封闭图形。先给出四个角的顺序：左上、右上、右下、左下，然后绘制对应的边，把它们连成四边形。接着从两条直线的交点作为关键点，构造该点与另一端点之间的线段；同时标出从中间顶点指向该交点所形成的夹角。最后再画与该角相关的若干边线段，保证图中能清楚看到顶点、交点、线段和角度之间的几何关系。
以上提示语为根据原始绘图命令整理而来，仅供参考。