计算器
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所属专题
Rechnen mit Potenzen
这个 GeoGebra 范例演示了一个计算器的工作原理,展示了如何使用指数和运算规则来计算数字。核心数学概念包括指数、运算规则和数字计算。作图要点包括使用 Textfield、Shuffle、If 等 GeoGebra 命令和对象。适合的学段或用途是初中数学教育,特别是 7-8 年级学生。
GeoGebra 命令及参数
Textfield(input1) → InputBox1Textfield(input2) → InputBox2Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9}) → Expo1List, {6, 7, 1, 2, 4, 3, 9, 5, 8}Shuffle({1, If[expo1 > 1, -1, 1]}) → Expo2OPList, {1, -1}If(expo2op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo1}], Shuffle[Sequence[i, i, 1, expo1 - 1]]) → Expo2ListShuffle({1, If[expo1 + (expo2op * expo2) > 1, -1, 1]}) → Expo3OPList, {1, -1}If(expo3op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo2}], Shuffle[Sequence[i, i, 1, Min[expo1 + (expo2op * expo2) - 1, 9]]]) → Expo3ListShuffle({1, If[expo1 + (expo2op * expo2) + (expo3op * expo3) > 1, -1, 1]}) → Expo4OPList, {1, -1}If(expo4op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo3}], Shuffle[Sequence[i, i, 1, Min[expo1 + (expo2op * expo2) + (expo3op * expo3) - 1, 9]]]) → Expo4ListShuffle({1, If[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) > 1, -1, 1]}) → Expo5OPList, {1, -1}If(expo5op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo4}], Shuffle[Sequence[i, i, 1, Min[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) - 1, 9]]]) → Expo5ListShuffle({1, If[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) + (expo5op * expo5) > 1, -1, 1]}) → Expo6OPList, {1, -1}If(expo6op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo5}], Shuffle[Sequence[i, i, 1, Min[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) + (expo5op * expo5) - 1, 9]]]) → Expo6ListShuffle({1, If[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) + (expo5op * expo5) + (expo6op * expo6) > 1, -1, 1]}) → Expo7OPList, {1, -1}If(expo7op ≟ 1, Shuffle[{1, 2, 3, 4, 5, 6, 7, 8, 9} \ {expo6}], Shuffle[Sequence[i, i, 1, Min[expo1 + (expo2op * expo2) + (expo3op * expo3) + (expo4op * expo4) + (expo5op * expo5) + (expo6op * expo6) - 1, 9]]]) → Expo7ListPolygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {3, 1, 10, 9, 4, 6, 1, 7, 9, 2, 0, 3, 5, 4, 0, 4, 4, 10, 10, 5, 7, 4, 8, 3, 0, 2, 4, 2, 8, 0, 5, 3, 8, 4, 10, 4, 2, 8, 5, 7, 8, 10, 7, 5, 10, 4, 0, 2, 0, 8, 7, 7, 2, 8, 5, 1, 7, 4, 8, 0, 4, 3, 2, 5, 4, 1, 6, 4, 4, 9, 4, 10, 5, 9, 2, 7, 3, 5, 3, 1, 8, 5, 3, 6, 3, 10, 8, 10, 6, 2, 2, 2, 3, 5, 3, 7, 0, 3, 10, 9}Element(randomNosForX, Mod[questionCount, 100] + 1) → numXShuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {9, 10, 4, 9, 4, 0, 4, 2, 6, 8, 7, 8, 5, 2, 2, 3, 7, 0, 3, 9, 2, 3, 9, 4, 1, 0, 2, 2, 2, 1, 1, 9, 9, 8, 6, 7, 10, 8, 4, 4, 6, 6, 5, 2, 10, 7, 8, 8, 3, 4, 1, 4, 6, 1, 1, 5, 9, 9, 10, 7, 2, 3, 5, 8, 3, 0, 7, 7, 9, 3, 6, 6, 2, 9, 3, 2, 7, 6, 1, 10, 1, 4, 3, 3, 1, 0, 7, 8, 1, 1, 2, 5, 9, 5, 4, 8, 1, 8, 0, 8}Element(randomNosForY, Mod[questionCount, 100] + 1) → numYAppend(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayXAppend(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayYRemove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeatRemove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeatElement(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeatElement(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeatDefined(input1) → fixedShuffle({"a", "b", "c", "d", "g", "h", "k", "m", "n", "r", "s", "t", "u", "v", "w", "x", "y", "z"}) → VarList, {"y", "h", "u", "g", "t", "n", "w", "c", "m", "r", "d", "b", "s", "v", "k", "a", "z", "x"}
AI 绘图提示语参考
绘制一个交互式计算器界面,包含两个输入框,用于输入数字。界面中随机生成一个数学表达式,由多个指数项组成,每个指数项包含一个底数和一个指数,指数前可能带有正负号,整体表达式的结果需大于1。表达式下方显示一个矩形区域,用于反馈答案是否正确。界面背景中散布着随机数字点,用于视觉装饰。整个图形应体现指数运算和运算规则的教学场景,适合初中生理解。
以上提示语为根据原始绘图命令整理而来,仅供参考。