平行四边形性质互动练习：识别与验证关键特征

GeoGebra 命令及参数

1. CountIf(m ≟ true, m, {chosena2, chosenb2, chosenc2, chosend2}) → numChosen2
2. CountIf(m ≟ true, m, {chosenalpha2, chosenbeta2, chosengamma2, chosendelta2}) → numChosen6
3. Point(Circle[A, (5 * scale)]) → B
4. Rotate(B + ((4 * scale) * UnitVector[Vector[B, A]]), 240°, B) → C
5. KeepIf(Distance[A, P] ≥ rad1 ∧ Distance[B, P] ≥ rad1 ∧ Distance[C, P] ≥ rad1 ∧ Distance[D, P] ≥ rad1, P, Flatten[Sequence[Sequence[F + ((m * 0.3) * (1, 0)) + ((j * 0.3) * (0, 1)), m, 0, 35], j, 0, 14]]) → listPoints
6. Point(Join[{listPoints, {A, B, C, D}}]) → BS
7. Point(Join[{listPoints, {A, B, C, D}}]) → CS
8. Point(Join[{listPoints, {A, B, C, D}}]) → DS
9. Point(Join[{listPoints, {A, B, C, D}}]) → AS
10. Element({correct1, correct2, correct34, correct5, correct6, correct78, correct9, correct10, correct11}, exnum) → correct
11. CountIf(m ≟ true, m, {chosenA2, chosenB2, chosenC2, chosenD2}) → numChosen9
12. CountIf(m ≟ true, m, {chosenA, chosenB, chosenC, chosenD}) → numChosen8
13. CountIf(m ≟ true, m, {chosena, chosenb, chosenc, chosend}) → numChosen1
14. CountIf(m ≟ true, m, {chosenalpha, chosenbeta, chosengamma, chosendelta}) → numChosen5
15. Length(KeepIf[P ∈ {A, B, C, D}, P, {AS, BS, CS, DS}]) → pointsInABCD
16. Textfield(input3) → Eingabefeld3
17. Textfield(input4) → Eingabefeld4
18. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
19. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {2, 10, 5, 6, 10, 7, 5, 9, 3, 2, 4, 8, 0, 1, 0, 4, 1, 10, 7, 5, 9, 2, 3, 9, 2, 8, 8, 6, 5, 3, 10, 4, 5, 2, 6, 8, 9, 9, 4, 5, 5, 8, 4, 4, 0, 1, 2, 1, 3, 6, 9, 1, 3, 8, 7, 9, 1, 8, 4, 3, 8, 2, 6, 7, 7, 4, 1, 8, 6, 6, 4, 9, 7, 2, 2, 6, 10, 4, 8, 2, 2, 5, 3, 10, 2, 6, 4, 0, 1, 10, 7, 2, 2, 7, 2, 1, 0, 4, 0, 2}
20. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
21. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 0, 4, 8, 6, 9, 4, 4, 9, 5, 3, 5, 3, 6, 7, 8, 7, 1, 1, 2, 10, 2, 9, 7, 2, 7, 7, 6, 2, 3, 6, 9, 9, 9, 5, 9, 2, 8, 6, 2, 7, 6, 5, 0, 3, 5, 8, 6, 6, 5, 7, 7, 4, 9, 2, 1, 4, 10, 9, 0, 3, 1, 1, 5, 2, 9, 7, 4, 0, 2, 6, 6, 2, 3, 1, 3, 2, 2, 5, 1, 9, 3, 5, 4, 10, 6, 2, 2, 6, 1, 8, 4, 7, 4, 7, 10, 6, 5, 7}
22. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
23. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
24. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
25. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
26. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
27. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
28. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
29. If(exnum ≟ 3, (correct3 ∨ correct4) ∧ (¬correct34), If[exnum ≟ 6, (correct7 ∨ correct8) ∧ (¬correct78), If[exnum ≟ 7, (correct9a ∨ correct9b ∨ correct9c ∨ correct9d) ∧ (¬correct9), false]]) → correctpartially
30. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]) → listExNums
31. Polygon(A, B, C, D) → v1, a, b, c, d
32. Element({1, 1, 3, 1, 2, 3, 3, 1, 2}, exnum) → versuche
33. SpeechBubbleRight(E, 6.75, 1.13) → Vieleck1
34. Angle(v1) → α, β, γ, δ
35. Textfield(input7) → Eingabefeld7
36. Textfield(input8) → Eingabefeld8
37. Element(Join[{listPoints, {A, B, C, D}}], g) → G
38. Segment(A, C) → f
39. Segment(B, D) → h
40. Point(Line[Mathspooky, xAxis]) → N
41. SpeechBubbleRight(K, 4.4, 1) → Vieleck2
42. SpeechBubbleRight(E + (0, 0.4), 6.75, 1.13 - 0.4) → Vieleck3
43. Point(Line[L0, yAxis]) → L1
44. Point(Line[L0, yAxis]) → L2
45. Point(Line[L0, yAxis]) → L3
46. Point(Line[L0, yAxis]) → L4
47. Point(Line[L0, yAxis]) → L5
48. Point(Line[L0, yAxis]) → L6
49. Point(Line[L0, yAxis]) → L7
50. Point(Line[L0, yAxis]) → L8
51. Point(Line[L0, yAxis]) → L9
52. Element({L1, L2, L3, L4, L5, L6, L7, L8, L9}, exnum) → L