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解方程：火星之旅

解方程：火星之旅
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2022-01-13 15:09
几何作图
所属专题 Wiederholung: Variablen, Terme und Gleichungen
本范例演示如何通过 GeoGebra 解线性方程，并引导学生逐步解决。核心数学概念涉及线性方程的解法，通过逆向运算求解。作图要点包括使用 Shuffle, Append, Remove, Element, Textfield, Polygon 等命令，以及对象 questionCount, randomNosFora, staya, randomNosForawithoutRepeat, numawithoutRepeat, aInput, correct2, stayy, RandomNosFory, RandomNosForywithoutRepeat, numywithoutRepeat, F9, F8, F7, F6, F5, F4, F3, F2, l1, l1zufi, stayzufi, l1zufiwithoutRepeat, numzufi, E2, E9, E8, E7, E6, E5, E4, E3, Blue, Green, Orange, Red, Purple, Gray, GrayDark, validate。适合小学5-6年级学生，用于数学练习和概念理解。

GeoGebra 命令及参数

  1. Shuffle(Sequence[Random[41, 90], i, 1, 100]) → randomNosFora, {90, 72, 63, 72, 81, 57, 90, 58, 75, 65, 75, 75, 64, 55, 66, 54, 43, 63, 57, 71, 48, 72, 78, 81, 59, 78, 48, 48, 76, 88, 58, 44, 87, 85, 42, 75, 65, 83, 81, 82, 58, 44, 50, 51, 41, 51, 65, 88, 45, 85, 75, 82, 42, 89, 56, 41, 49, 63, 44, 84, 66, 54, 86, 84, 48, 85, 65, 71, 55, 86, 68, 66, 56, 48, 75, 57, 54, 63, 89, 46, 65, 79, 72, 90, 66, 58, 84, 44, 67, 69, 41, 68, 55, 45, 82, 68, 56, 66, 59, 66}
  2. Append(true, Sequence[If[randomNosFora(i) ≟ randomNosFora(i - 1), false, true], i, 2, 100]) → staya
  3. Remove(Sequence[If[staya(i), randomNosFora(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForawithoutRepeat
  4. Element(randomNosForawithoutRepeat, Mod[questionCount, Length[randomNosForawithoutRepeat]] + 1) → numawithoutRepeat
  5. Append(true, Sequence[If[randomNosFora(i) ≟ randomNosFora(i - 1), false, true], i, 2, 100]) → stayy
  6. Shuffle(Sequence[Random[1, 40], i, 1, 100]) → RandomNosFory, {31, 9, 37, 40, 26, 20, 30, 9, 21, 9, 32, 30, 1, 22, 27, 4, 13, 17, 8, 9, 10, 9, 37, 13, 24, 30, 19, 27, 18, 19, 37, 1, 35, 10, 10, 16, 11, 30, 19, 31, 28, 2, 3, 34, 35, 7, 35, 16, 32, 11, 31, 31, 34, 16, 39, 33, 10, 4, 34, 5, 33, 31, 16, 31, 18, 29, 10, 24, 37, 21, 32, 1, 30, 15, 23, 33, 7, 36, 6, 21, 37, 28, 25, 19, 29, 22, 8, 8, 25, 14, 10, 22, 16, 10, 6, 26, 18, 16, 1, 16}
  7. Remove(Sequence[If[stayy(i), RandomNosFory(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → RandomNosForywithoutRepeat
  8. Element(RandomNosForywithoutRepeat, Mod[questionCount, Length[RandomNosForywithoutRepeat]] + 1) → numywithoutRepeat
  9. Shuffle(Sequence[RandomElement[l1], i, 1, 100]) → l1zufi, {"a \cdot 31", "a - 31", "a \cdot 31", "31 + a", "a \cdot 31", "a - 31", "a - 31", "31 \cdot a", "a + 31", "31 \cdot a", "a \cdot 31", "a \cdot 31", "a + 31", "31 \cdot a", "a \cdot 31", "a - 31", "a + 31", "a - 31", "a + 31", "a - 31", "a + 31", "a - 31", "a + 31", "a \cdot 31", "a + 31", "a + 31", "a + 31", "a - 31", "a \cdot 31", "31 \cdot a", "a \cdot 31", "a + 31", "31 + a", "31 + a", "a + 31", "31 + a", "31 + a", "31 + a", "a + 31", "31 + a", "a \cdot 31", "a - 31", "31 + a", "a + 31", "a - 31", "31 + a", "a \cdot 31", "a - 31", "a \cdot 31", "a \cdot 31", "a \cdot 31", "a - 31", "a + 31", "a + 31", "31 + a", "a \cdot 31", "a \cdot 31", "a \cdot 31", "a + 31", "a + 31", "a - 31", "a \cdot 31", "31 \cdot a", "a \cdot 31", "a + 31", "a \cdot 31", "31 + a", "31 + a", "a \cdot 31", "a - 31", "31 \cdot a", "a + 31", "a - 31", "a - 31", "a + 31", "a \cdot 31", "a - 31", "a + 31", "a + 31", "a \cdot 31", "31 \cdot a", "a + 31", "a - 31", "a - 31", "31 \cdot a", "a + 31", "31 + a", "31 \cdot a", "a \cdot 31", "a - 31", "31 \cdot a", "a - 31", "31 \cdot a", "a + 31", "a + 31", "31 \cdot a", "a - 31", "a - 31", "a - 31", "a \cdot 31"}
  10. Append(true, Sequence[If[l1zufi(i) ≟ l1zufi(i - 1), false, true], i, 2, 100]) → stayzufi
  11. Remove(Sequence[If[stayzufi(i), l1zufi(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → l1zufiwithoutRepeat
  12. Element(l1zufiwithoutRepeat, Mod[questionCount, 100] + 1) → numzufi
  13. Textfield(aInput) → InputBox1
  14. Textfield(bInput) → InputBox2
  15. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  16. Element(randomNosFora, Mod[questionCount, 100] + 1) → numa
  17. Element(RandomNosFory, Mod[questionCount, 100] + 1) → numy
  18. Shuffle(Sequence[RandomElement[{6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66}], i, 1, 100]) → randomNosForaDivision, {18, 54, 54, 60, 30, 48, 48, 12, 30, 42, 42, 12, 24, 42, 12, 18, 48, 48, 42, 30, 30, 18, 60, 60, 18, 54, 60, 6, 6, 48, 30, 42, 30, 42, 24, 12, 12, 60, 36, 18, 54, 42, 24, 66, 66, 12, 42, 48, 30, 66, 12, 24, 30, 42, 24, 12, 24, 12, 48, 60, 30, 30, 12, 42, 6, 48, 18, 24, 42, 6, 66, 36, 42, 12, 6, 60, 30, 66, 54, 30, 24, 36, 54, 24, 42, 36, 54, 12, 30, 24, 48, 30, 42, 30, 66, 48, 12, 42, 48, 36}

AI 绘图提示语参考

画一个包含方形和多个圆的图形，方形的四个角分别有不同的颜色，圆的颜色和大小根据随机数生成。图形中有两个文本输入框，用于输入两个数字。图形的中心有一个方形，四个角分别有一个圆，圆的颜色和大小根据随机数生成。图形的四个角分别有一个方形，四个角分别有一个圆，圆的颜色和大小根据随机数生成。图形的中心有一个方形，四个角分别有一个圆，圆的颜色和大小根据随机数生成。
以上提示语为根据原始绘图命令整理而来，仅供参考。