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乘除以10的幂的倍数

乘除以10的幂的倍数
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2023-06-09 22:41
本范例演示如何乘除以10的幂的倍数。通过寻找结果中零的数量规律，可以快速找到乘积或商。涉及的核心数学概念是识别和利用10的幂（带或不带指数）的模式来乘除整数和小数。作图要点包括使用Shuffle、Element、Reverse、If、UnicodeToText、Sequence、Take、Textfield、Polygon、Corner、expandSegment、onboardingTextOffset等GeoGebra命令和对象。适合4-5年级学生，用于练习和掌握乘除10的幂的技巧。

GeoGebra 命令及参数

  1. Shuffle(Sequence[100, 400, 10]) → allBases, {290, 240, 370, 400, 230, 340, 120, 150, 350, 390, 200, 190, 260, 140, 320, 330, 100, 170, 180, 160, 360, 270, 280, 310, 110, 130, 250, 300, 380, 220, 210}
  2. Element(allBases, Mod[countQuestion, Length[allBases]] + 1) → base
  3. Shuffle(Sequence[2, 5, 1]) → allN, {5, 2, 3, 4}
  4. Element(allN, Mod[countQuestion, Length[allN]] + 1) → numN
  5. Shuffle(KeepIf[x ≤ numN, {2, 3, 4, 5}]) → allD, {2, 4, 3, 5}
  6. Element(allD, Mod[countQuestion, Length[allD]] + 1) → numD
  7. Shuffle({1, 2}) → allCases, {2, 1}
  8. Element(allCases, Mod[countQuestion, Length[allCases]] + 1) → caseNum
  9. Reverse(TextToUnicode[("" * secondNum2)]) → secondNum2RU
  10. Reverse(RemoveUndefined[Flatten[Sequence[{secondNum2RU(k), secondNum2RU(k + 1), secondNum2RU(k + 2), 44}, k, 1, Length[secondNum2RU], 3]]]) → secondNum2C
  11. If(secondNum2C(1) ≟ 44, Take[secondNum2C, 2], secondNum2C) → secondNum2OK
  12. UnicodeToText(secondNum2OK) → textSecondNum2
  13. Reverse(TextToUnicode[("" * secondNum1)]) → secondNum1RU
  14. Reverse(RemoveUndefined[Flatten[Sequence[{secondNum1RU(k), secondNum1RU(k + 1), secondNum1RU(k + 2), 44}, k, 1, Length[secondNum1RU], 3]]]) → secondNum1C
  15. If(secondNum1C(1) ≟ 44, Take[secondNum1C, 2], secondNum1C) → secondNum1OK
  16. UnicodeToText(secondNum1OK) → textSecondNum1
  17. Sequence(Random[0, 99] / 100, A, 1, 200) → allRandomSeeds, {0.21, 0.43, 0.13, 0.69, 0.53, 0.48, 0.58, 0.75, 0.79, 0.29, 0.93, 0.83, 0.81, 0.52, 0.6, 0.17, 0.91, 0.55, 0.8, 0.2, 0.47, 0.28, 0.1, 0.53, 0.53, 0.53, 0.3, 0.7, 0.55, 0.58, 0.55, 0.2, 0.3, 0.61, 0.51, 0.62, 0.29, 0.52, 0.21, 0.01, 0.9, 0.14, 0.52, 0.6, 0.28, 0.27, 0.98, 0.49, 0.81, 0.18, 0.18, 0.67, 0.57, 0.25, 0.84, 0.79, 0.39, 0.04, 0.76, 0.74, 0.91, 0.95, 0.19, 0.69, 0.81, 0.54, 0.82, 0.32, 0.78, 0.31, 0.39, 0.45, 0.28, 0.3, 0.06, 0.76, 0.13, 0.14, 0.32, 0.4, 0.73, 0.61, 0.68, 0.37, 0.81, 0.22, 0.96, 0.5, 0.22, 0.23, 0.99, 0.79, 0.13, 0.17, 0.81, 0.91, 0.57, 0.36, 0.42, 0.95, 0.82, 0.04, 0.13, 0.39, 0.65, 0.86, 0.98, 0.83, 0.18, 0.81, 0.59, 0.66, 0.53, 0.96, 0.29, 0.27, 0.86, 0.16, 0.33, 0.92, 0.92, 0.56, 0.25, 0.8, 0.86, 0.81, 0.46, 0.46, 0.3, 0.17, 0.89, 0.08, 0.9, 0.08, 0.47, 0.62, 0.35, 0.97, 0.8, 0.63, 0.24, 0.51, 0.88, 0.43, 0.36, 0.35, 0.41, 0.39, 0.54, 0.63, 0.53, 0.74, 0.39, 0.53, 0.77, 0.09, 0.02, 0.66, 0.06, 0.89, 0.24, 0.39, 0.2, 0.06, 0.69, 0.7, 0.77, 0.71, 0.83, 0.18, 0.33, 0.3, 0.66, 0.36, 0.85, 0.5, 0.02, 0.38, 0.8, 0.35, 0.62, 0.62, 0.06, 0.16, 0.02, 0.24, 0.84, 0.94, 0.64, 0.97, 0.61, 0.41, 0.43, 0.04, 0.81, 0.53, 0.32, 0.79, 0.11, 0.07}
  18. Take(allRandomSeeds, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
  19. Textfield(input1) → InputBox1
  20. Textfield(input2) → InputBox2
  21. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
  22. Corner(5) → layoutAppSize
  23. expandSegment(PMoveA, PMoveB, (pulsing * 7), Corner[1], Corner[3], Corner[5]) → pulsingObject
  24. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  25. Reverse(TextToUnicode[("" * input1)]) → input1RU
  26. Reverse(RemoveUndefined[Flatten[Sequence[{input1RU(k), input1RU(k + 1), input1RU(k + 2), 44}, k, 1, Length[input1RU], 3]]]) → input1UC
  27. If(input1UC(1) ≟ 44, Take[input1UC, 2], input1UC) → input1OK
  28. UnicodeToText(input1OK) → textInput
  29. Reverse(TextToUnicode[("" * firstNum1)]) → firstNum1RU
  30. Reverse(RemoveUndefined[Flatten[Sequence[{firstNum1RU(k), firstNum1RU(k + 1), firstNum1RU(k + 2), 44}, k, 1, Length[firstNum1RU], 3]]]) → firstNum1C
  31. If(firstNum1C(1) ≟ 44, Take[firstNum1C, 2], firstNum1C) → firstNum1OK
  32. UnicodeToText(firstNum1OK) → textFirstNum1
  33. Reverse(TextToUnicode[("" * ans1)]) → ans1RU
  34. Reverse(RemoveUndefined[Flatten[Sequence[{ans1RU(k), ans1RU(k + 1), ans1RU(k + 2), 44}, k, 1, Length[ans1RU], 3]]]) → ans1C
  35. If(ans1C(1) ≟ 44, Take[ans1C, 2], ans1C) → ans1OK
  36. Reverse(TextToUnicode[("" * ans2)]) → ans2RU
  37. Reverse(RemoveUndefined[Flatten[Sequence[{ans2RU(k), ans2RU(k + 1), ans2RU(k + 2), 44}, k, 1, Length[ans2RU], 3]]]) → ans2C
  38. If(ans2C(1) ≟ 44, Take[ans2C, 2], ans2C) → ans2OK
  39. UnicodeToText(ans1OK) → textAns1
  40. UnicodeToText(ans2OK) → textAns2
  41. Reverse(RemoveUndefined[Flatten[Sequence[{firstNum1RU(k), firstNum1RU(k + 1), firstNum1RU(k + 2), 44}, k, 1, Length[firstNum1RU], 3]]]) → test

AI 绘图提示语参考

请绘制一个交互式乘除法练习界面。界面包含两个输入框，用于输入数字；一个边框框住输入区域；一个脉冲动画在边框内缓慢移动；一个引导文本提示用户操作；以及一些数字和答案显示区域。图形应清晰展示输入、计算和结果反馈的流程，适合学生练习与理解乘除法与10的幂的倍数模式。
以上提示语为根据原始绘图命令整理而来，仅供参考。