一元一次方程的乘除解法

一元一次方程的乘除解法
几何画板及绘图内容加载中,请稍等……
2018-10-13 02:00
本范例演示如何通过乘法或除法解一元一次方程。核心数学概念包括一元一次方程的解法。使用了Random, UnicodeToLetter, If, Polygon, Join, LaTeX, Textfield等GeoGebra命令。适合初中数学教学。

GeoGebra 命令及参数

  1. Random(1, 4) → m
  2. UnicodeToLetter(10007) → xmark
  3. UnicodeToLetter(10003) → cmark
  4. If(m ≟ 1 ∨ m ≟ 2, Random[2, 4], 2) → leftOperand
  5. Polygon(A, leftScaleRegionCorner, C, D) → leftScaleRegion, a, b, c, d
  6. Polygon(I, rightScaleRegionCorner, K, L) → rightScaleRegion, i, j, k, l
  7. Join({Sequence[C + ((-1.8 * i), 0), i, 1, Min[numWeightsLeft, 4]], Sequence[C + ((-1.8 * i), 1.5), i, 1, Min[numWeightsLeft - 4, 4]]}) → leftRegionWeightCorners
  8. Join({Sequence[K + ((-1.8 * i), 0), i, 1, Min[numWeightsRight, 4]], Sequence[K + ((-1.8 * i), 1.5), i, 1, Min[numWeightsRight - 4, 4]]}) → rightRegionWeightCorners
  9. Join({Sequence[leftScaleRegionCorner + (-1.5, 0) + ((2 * i), 0), i, 0, Min[numBagsLeft, 2] - 1], Sequence[leftScaleRegionCorner + (-1.5, 0) + ((2 * i), 2.5), i, 0, Min[numBagsLeft - 2, 2] - 1]}) → leftRegionBagCorners
  10. Join({Sequence[rightScaleRegionCorner + (-1.5, 0) + ((2 * i), 0), i, 0, Min[numBagsRight, 2] - 1], Sequence[rightScaleRegionCorner + (-1.5, 0) + ((2 * i), 2.5), i, 0, Min[numBagsRight - 2, 2] - 1]}) → rightRegionBagCorners
  11. LaTeX("\text{\textbf{Instructions: }Use the buttons on either side of the scale to add and remove bags and\\weights. Start by representing the given equation. Then, try to isolate a bag on one\\side of the scale while keeping the scale balanced.}") → SpecInstruc
  12. Textfield(answerText) → answerBox
  13. LaTeX("\text{The weight of the money bag is }m=") → answerLine
  14. LaTeX("\text{\textbf{Question: }What is the weight of the money bag?}") → MainInstruc
  15. LaTeX("\text{Please enter the weight of the money bag.}") → remember

AI 绘图提示语参考

画一个天平,左右两边各有区域代表方程两边,用不同形状和数量的重物表示方程中的数值,天平中间有一个显示方程解的文本框,旁边有按钮可以增减重物,整体展示解一元一次方程的过程。
以上提示语为根据原始绘图命令整理而来,仅供参考。