数轴整数比较与排序练习

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2024-11-20 22:49

解析几何不等式函数图像

所属专题 Ordnen und Vergleichen von ganzen Zahlen

本范例是一个交互式整数比较与排序练习。学生需要在数轴上比较和排列随机生成的整数，理解正负数的大小关系。核心数学概念包括：整数的比较与排序、数轴的几何表示、整数在现实情境中的意义。构造要点：使用Sequence命令生成随机整数序列，通过Textfield和InputBox实现学生输入验证，利用If和Unique命令判断答案正确性，配合btnValidate按钮和correctCount计数器进行反馈。适用于五年级至六年级学生，可用于课堂练习或课后巩固，培养数感和逻辑推理能力。

GeoGebra 命令及参数

Join(Sequence[Shuffle[{1, 2}], k, 1, 200]) → CaseList
Join({{1, 1, 2}, Join[Sequence[Shuffle[{1, 2, 2}], k, 1, ceil(200 / 3)]]}) → AnzahlInputList
Sequence(RandomElement[{1, 2, 3, 4}], k, 1, 200) → Pos1List, {2, 4, 4, 1, 1, 2, 2, 4, 1, 4, 2, 3, 2, 1, 4, 3, 4, 3, 3, 3, 2, 1, 3, 2, 2, 4, 4, 4, 2, 4, 4, 2, 2, 3, 4, 2, 3, 2, 4, 4, 4, 1, 3, 1, 1, 3, 1, 4, 2, 1, 1, 2, 4, 2, 4, 4, 1, 3, 3, 2, 2, 3, 1, 3, 3, 3, 3, 4, 3, 1, 3, 3, 3, 1, 4, 4, 2, 1, 3, 1, 4, 4, 1, 2, 4, 2, 2, 4, 4, 3, 3, 2, 4, 4, 1, 4, 2, 2, 1, 3, 3, 4, 1, 4, 2, 3, 2, 4, 1, 4, 2, 2, 1, 1, 3, 2, 3, 1, 3, 1, 2, 2, 1, 1, 2, 4, 4, 2, 4, 3, 3, 2, 4, 1, 2, 1, 4, 2, 2, 3, 4, 3, 2, 3, 1, 3, 3, 3, 4, 2, 3, 2, 1, 1, 4, 3, 4, 4, 3, 2, 3, 4, 2, 2, 3, 3, 1, 3, 3, 1, 2, 1, 2, 3, 1, 2, 2, 3, 1, 1, 1, 2, 2, 2, 4, 4, 1, 3, 2, 3, 3, 2, 4, 1, 1, 3, 1, 2, 1, 1}
Sequence(RandomElement[Remove[{1, 2, 3, 4}, {Pos1List(k), If[k > 1, Pos1List(k - 1), NaN]}]], k, 1, 200) → Pos2List, {1, 3, 3, 2, 3, 3, 3, 3, 2, 2, 1, 1, 1, 3, 2, 2, 1, 2, 1, 4, 1, 4, 2, 1, 4, 3, 1, 3, 3, 3, 3, 3, 4, 4, 1, 1, 1, 4, 1, 3, 1, 2, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 3, 3, 3, 2, 3, 2, 4, 1, 1, 4, 2, 4, 2, 4, 2, 2, 1, 2, 4, 2, 1, 4, 3, 1, 1, 3, 2, 2, 3, 1, 3, 4, 1, 1, 3, 3, 3, 1, 2, 4, 3, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 4, 2, 1, 4, 2, 2, 4, 4, 4, 3, 4, 3, 1, 2, 1, 3, 1, 2, 1, 1, 2, 4, 4, 3, 3, 1, 1, 2, 2, 1, 4, 4, 4, 2, 1, 1, 1, 4, 4, 4, 3, 2, 1, 1, 2, 2, 1, 4, 2, 1, 4, 1, 2, 4, 4, 1, 2, 3, 3, 4, 1, 4, 3, 3, 4, 2, 2, 2, 4, 3, 4, 1, 2, 3, 2, 4, 4, 1, 1, 1, 3, 2, 4, 4, 4, 4, 2}
Sequence(RandomElement[-100…-10], k, 1, 200) → Number1List, {-77, -39, -77, -16, -72, -31, -33, -62, -20, -62, -42, -29, -17, -54, -69, -25, -12, -79, -28, -25, -77, -32, -41, -52, -56, -22, -34, -11, -29, -14, -98, -29, -38, -91, -99, -57, -41, -39, -16, -74, -84, -65, -14, -22, -81, -42, -53, -61, -37, -18, -77, -54, -10, -18, -10, -100, -57, -80, -71, -21, -83, -14, -37, -80, -40, -65, -87, -81, -14, -14, -46, -60, -17, -99, -43, -31, -97, -35, -48, -99, -96, -26, -22, -60, -35, -98, -59, -80, -38, -64, -57, -53, -19, -72, -10, -98, -11, -42, -73, -22, -26, -20, -97, -63, -14, -35, -32, -27, -13, -76, -40, -79, -93, -47, -24, -41, -20, -77, -10, -12, -82, -39, -37, -77, -96, -32, -100, -21, -42, -21, -16, -59, -91, -50, -48, -70, -64, -78, -76, -94, -14, -49, -64, -65, -34, -13, -74, -22, -42, -80, -29, -23, -78, -63, -83, -46, -98, -10, -78, -67, -34, -61, -14, -88, -52, -73, -54, -65, -97, -78, -79, -77, -43, -82, -69, -10, -29, -67, -17, -58, -34, -37, -73, -29, -27, -33, -81, -76, -29, -57, -79, -49, -47, -28, -43, -67, -46, -51, -75, -60}
Sequence(RandomElement[(Number1List(k) + 1)…-1], k, 1, 200) → Number2List, {-7, -3, -44, -4, -16, -17, -7, -32, -10, -45, -4, -15, -13, -15, -5, -6, -2, -21, -4, -4, -35, -18, -40, -37, -22, -15, -27, -7, -1, -5, -97, -16, -5, -82, -34, -48, -14, -33, -1, -71, -16, -12, -13, -4, -66, -9, -3, -16, -15, -7, -37, -1, -8, -15, -8, -42, -42, -79, -50, -16, -44, -8, -7, -30, -9, -7, -45, -78, -7, -11, -16, -26, -11, -96, -38, -29, -80, -26, -30, -48, -40, -14, -6, -28, -1, -83, -38, -25, -30, -53, -10, -25, -4, -8, -8, -56, -6, -35, -8, -7, -10, -11, -86, -1, -5, -24, -19, -22, -12, -55, -2, -27, -25, -10, -14, -34, -1, -22, -7, -4, -60, -18, -1, -49, -27, -17, -59, -11, -29, -3, -11, -55, -48, -14, -20, -11, -43, -57, -20, -61, -10, -16, -3, -51, -12, -5, -58, -3, -1, -46, -2, -3, -11, -46, -6, -22, -67, -6, -4, -31, -14, -30, -9, -5, -31, -46, -4, -24, -85, -64, -55, -11, -18, -62, -64, -1, -18, -31, -11, -52, -8, -24, -54, -21, -6, -26, -33, -26, -2, -46, -7, -11, -16, -19, -17, -42, -27, -36, -40, -56}
Sequence(RandomElement[(Number2List(k) + 1)…97], k, 1, 200) → Number3List, {-3, 44, 31, 88, -10, -11, 79, -12, 97, 19, 18, 49, 29, -7, 60, -3, 11, 37, 56, -1, 31, 93, -34, -27, 52, 22, 74, 95, 41, 68, -29, 79, -2, 17, 94, -46, 58, 47, 86, -30, 61, 12, 60, 97, 18, 76, 92, 35, 1, 38, 35, 66, 75, -12, 7, -13, 97, -9, 22, 73, 84, 13, 46, -28, 64, 55, 77, -11, 36, 9, 93, 56, 67, -31, -1, 71, -57, 10, 44, 52, 77, 26, 40, 52, 44, -52, -18, -5, 59, 93, 61, 41, 37, 18, 56, 4, 22, -15, 16, 93, 77, 56, 44, 0, -4, -6, 44, 48, 16, 28, 58, 82, 59, 5, 15, 96, 10, 14, 60, 44, 69, 18, 88, 64, 21, 67, -49, -7, 92, 2, 68, 83, 51, -5, 93, 11, 20, 20, 90, 52, 81, 41, 8, 14, 7, 23, -31, 94, 84, 97, 0, 88, 61, 31, 34, 45, -3, 87, 90, -10, 6, -6, 91, 39, 32, 61, -3, 11, -35, 16, -32, 94, -6, 77, 6, 82, 7, 66, 93, 49, 60, 7, 62, 7, 92, 27, -14, 19, 30, -34, 10, 94, 86, 20, 57, 34, 56, 48, 76, -20}
Sequence(RandomElement[(Number3List(k) + 1)…100], k, 1, 200) → Number4List, {28, 66, 60, 97, 85, 41, 89, 32, 100, 37, 98, 71, 50, 73, 62, 13, 30, 61, 91, 73, 70, 100, 15, 84, 94, 29, 96, 100, 62, 84, 57, 84, 87, 72, 95, -22, 100, 97, 89, -3, 87, 70, 66, 99, 44, 87, 96, 85, 32, 82, 56, 70, 82, 78, 83, 93, 99, 21, 45, 76, 99, 39, 83, 80, 94, 57, 100, 98, 90, 72, 96, 74, 81, 23, 77, 72, -9, 42, 46, 78, 81, 64, 53, 56, 82, -21, -13, 26, 80, 95, 100, 65, 67, 28, 85, 52, 30, 97, 59, 94, 98, 99, 86, 24, 61, 22, 69, 84, 85, 34, 73, 98, 100, 16, 28, 100, 50, 61, 96, 90, 87, 48, 89, 87, 32, 91, 91, 10, 100, 56, 86, 98, 62, 63, 98, 75, 49, 98, 97, 83, 95, 88, 100, 90, 62, 37, -17, 97, 89, 99, 6, 92, 82, 73, 39, 53, 78, 100, 98, 80, 30, 76, 93, 95, 56, 86, 56, 97, 65, 61, 4, 97, -1, 88, 28, 83, 11, 96, 94, 77, 88, 54, 96, 65, 97, 87, 37, 85, 82, -12, 84, 99, 87, 88, 67, 82, 58, 100, 81, 31}
If(Case ≟ 1, Number1List(counter), Number4List(counter)) → number1
If(Case ≟ 1, Number2List(counter), Number3List(counter)) → number2
If(Case ≟ 1, Number3List(counter), Number2List(counter)) → number3
If(Case ≟ 1, Number4List(counter), Number1List(counter)) → number4
If(AnzahlInput ≟ 1, Pos1List(counter), Pos2List(counter)) → pos2
Unique({pos1, pos2}) → PosList
If(Case ≟ 1, If[1 ∈ PosList, input1, number1] < If[2 ∈ PosList, input2, number2] < If[3 ∈ PosList, input3, number3] < If[4 ∈ PosList, input4, number4], If[1 ∈ PosList, input1, number1] > If[2 ∈ PosList, input2, number2] > If[3 ∈ PosList, input3, number3] > If[4 ∈ PosList, input4, number4]) → correct1
Textfield(input1) → InputBox1
Textfield(input2) → InputBox2
Textfield(input3) → InputBox3
Textfield(input4) → InputBox4
Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {6, 10, 6, 4, 8, 8, 1, 7, 1, 8}
Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
Textfield(input) → inputBox
Text(txtN1, PosN1, false, true, 0, -1) → txtNumber1
Text(txtN2, PosN2, false, true, 0, -1) → txtNumber2
Text(txtN3, PosN3, false, true, 0, -1) → txtNumber3
Text(txtN4, PosN4, false, true, 0, -1) → txtNumber4
If(Case ≟ 1, If[1 ∈ PosList, input1, number1] < If[2 ∈ PosList, input2, number2], If[1 ∈ PosList, input1, number1] > If[2 ∈ PosList, input2, number2]) → Ineq1
If(Case ≟ 1, If[2 ∈ PosList, input2, number2] < If[3 ∈ PosList, input3, number3], If[2 ∈ PosList, input2, number2] > If[3 ∈ PosList, input3, number3]) → Ineq2
If(Case ≟ 1, If[3 ∈ PosList, input3, number3] < If[4 ∈ PosList, input4, number4], If[3 ∈ PosList, input3, number3] > If[4 ∈ PosList, input4, number4]) → Ineq3
If(PosList ≟ {1, 2}, 1, 6, PosList ≟ {1, 3}, 2, PosList ≟ {1, 4}, 3, PosList ≟ {2, 3}, 4, PosList ≟ {2, 4}, 5) → Case2Input

AI 绘图提示语参考

在数轴上进行整数大小比较练习：先随机生成四组整数，分别作为四个位置的候选数（可包含正数、负数与零），同时再随机确定这四个数在输入顺序中的排列情况。图中给出四个可输入的数字框，分别标为第1到第4个输入，并在下方显示一个用于判定的比较结果位置。根据所选排列，将第1~第4个候选数对应到各自的输入框，要求用户判断它们在数轴上的大小关系，用“从小到大”或“从大到小”的不等式链比较这四个数。

以上提示语为根据原始绘图命令整理而来，仅供参考。