蜗牛赛跑
几何画板及绘图内容加载中,请稍等……
这个范例通过蜗牛赛跑的形式,演示了整数的比较与排序。利用数轴展示整数在实际情境中的应用。使用了Sequence、Segment、Polygon等GeoGebra命令,适合小学五年级到六年级的学生进行练习。
GeoGebra 命令及参数
Shuffle(Sequence[i, i, 1, 30]) → ind, {13, 15, 17, 29, 27, 12, 16, 5, 28, 21, 20, 1, 26, 6, 9, 3, 14, 10, 23, 2, 30, 8, 22, 4, 11, 24, 18, 19, 25, 7}Sequence(Random[-50, RandomElement[{0, 50}]], i, 1, 100) → randomNumbersLinkeSeite, {-9, 37, -32, -9, 47, -50, -31, -35, -29, -23, -40, -27, 0, -16, -18, -17, -13, -36, -14, -2, 29, 12, 9, -11, 12, -17, -30, -26, -35, -38, -28, -15, -49, 22, -43, 50, -45, -8, -17, 0, -5, 32, 20, -8, 48, -30, -18, -48, 31, -37, 16, -7, -27, -6, -7, 28, -40, -46, -39, -27, -26, 2, -43, -23, -13, -50, -44, -21, 30, -31, -41, -32, 12, 22, 47, -5, -2, -27, 23, -38, -9, -30, -1, 36, -3, -26, -32, -10, 39, 32, -40, -35, -38, -11, -33, -11, -45, -29, 12, -9}Sequence(Random[-50, RandomElement[{0, 50}]], i, 1, 100) → randomNumbersRechteSeite, {-25, 21, 47, -29, 43, -11, -48, -16, -32, -45, -16, -14, -22, -47, -35, -9, -33, -38, 20, 29, 38, -5, 42, -43, -23, -44, -9, -36, 18, -11, -7, 36, -25, 48, -40, 44, -17, -34, -18, 34, -43, -3, -33, -12, -43, 6, -33, -34, 5, -30, -50, -48, -13, -44, -1, 42, 47, -33, 1, -8, -31, -13, 0, -25, -5, -16, -50, 0, -7, -26, -38, -27, -43, -36, 27, -15, 27, -29, 43, -6, -3, -27, -47, -1, -33, -6, -37, 16, 40, -49, -46, -6, 22, -13, -48, -28, -2, 49, -33, 44}Sequence(If[randomNumbersLinkeSeite(i) < randomNumbersRechteSeite(i), 1, If[randomNumbersLinkeSeite(i) ≟ randomNumbersRechteSeite(i), 2, 3]], i, 1, 100) → randomNumbersSolSymbolsShuffle(Sequence[Shuffle[1…10], i, 1, 100]) → inds, {{9, 5, 2, 6, 10, 8, 4, 1, 7, 3}, {6, 9, 4, 5, 2, 1, 8, 7, 3, 10}, {7, 3, 10, 8, 4, 2, 1, 5, 6, 9}, {7, 9, 1, 8, 2, 3, 10, 5, 6, 4}, {7, 10, 9, 6, 3, 5, 8, 4, 1, 2}, {5, 9, 3, 6, 8, 10, 1, 2, 4, 7}, {4, 2, 6, 9, 8, 7, 3, 1, 5, 10}, {7, 1, 9, 10, 4, 6, 3, 2, 5, 8}, {10, 2, 3, 9, 8, 6, 1, 4, 7, 5}, {2, 3, 7, 6, 5, 1, 8, 4, 10, 9}, {5, 2, 10, 7, 4, 8, 9, 6, 3, 1}, {9, 5, 3, 10, 7, 1, 2, 4, 6, 8}, {7, 2, 4, 3, 8, 5, 10, 6, 1, 9}, {4, 10, 2, 6, 3, 8, 7, 5, 1, 9}, {7, 9, 5, 1, 10, 3, 2, 8, 4, 6}, {9, 5, 10, 3, 4, 2, 6, 1, 8, 7}, {2, 1, 7, 3, 8, 6, 5, 9, 4, 10}, {1, 2, 8, 5, 4, 9, 7, 3, 6, 10}, {10, 7, 3, 4, 9, 8, 6, 1, 2, 5}, {1, 8, 5, 3, 4, 6, 7, 2, 9, 10}, {4, 1, 8, 5, 7, 3, 10, 6, 2, 9}, {7, 6, 2, 9, 5, 8, 3, 1, 4, 10}, {10, 5, 6, 4, 9, 8, 2, 7, 3, 1}, {5, 6, 4, 9, 3, 2, 10, 8, 7, 1}, {1, 9, 7, 8, 4, 10, 3, 5, 2, 6}, {4, 3, 9, 2, 1, 6, 8, 5, 10, 7}, {9, 10, 5, 4, 6, 1, 2, 7, 8, 3}, {8, 1, 9, 6, 7, 4, 3, 10, 5, 2}, {3, 1, 6, 8, 9, 4, 2, 5, 10, 7}, {3, 2, 4, 10, 5, 7, 8, 9, 1, 6}, {3, 9, 1, 2, 7, 6, 8, 5, 10, 4}, {3, 9, 10, 4, 2, 8, 5, 7, 6, 1}, {6, 1, 8, 9, 3, 5, 10, 7, 4, 2}, {7, 10, 8, 6, 9, 3, 5, 4, 1, 2}, {3, 7, 8, 9, 2, 4, 1, 10, 6, 5}, {6, 2, 9, 8, 7, 10, 4, 1, 3, 5}, {2, 9, 1, 7, 5, 10, 8, 3, 6, 4}, {2, 5, 7, 1, 6, 9, 3, 4, 10, 8}, {10, 9, 4, 7, 2, 5, 6, 1, 3, 8}, {7, 9, 3, 10, 1, 6, 5, 8, 2, 4}, {3, 10, 6, 1, 8, 9, 7, 2, 5, 4}, {8, 7, 6, 3, 9, 2, 4, 1, 5, 10}, {3, 8, 6, 2, 7, 4, 10, 5, 9, 1}, {3, 8, 4, 9, 5, 2, 1, 7, 10, 6}, {9, 6, 7, 1, 4, 3, 2, 8, 5, 10}, {8, 1, 5, 9, 6, 4, 2, 3, 7, 10}, {1, 10, 2, 8, 5, 4, 7, 3, 9, 6}, {6, 4, 9, 8, 2, 10, 3, 5, 1, 7}, {9, 7, 5, 2, 6, 8, 1, 4, 10, 3}, {5, 4, 2, 7, 1, 9, 6, 3, 8, 10}, {5, 6, 4, 1, 7, 9, 3, 2, 8, 10}, {5, 8, 7, 1, 3, 10, 9, 2, 4, 6}, {1, 9, 7, 3, 10, 2, 5, 6, 8, 4}, {10, 5, 7, 9, 6, 3, 1, 4, 2, 8}, {8, 10, 7, 1, 4, 2, 9, 3, 6, 5}, {3, 7, 5, 4, 2, 6, 8, 10, 1, 9}, {10, 6, 1, 7, 9, 3, 2, 8, 5, 4}, {5, 9, 4, 1, 7, 8, 3, 10, 2, 6}, {1, 8, 7, 6, 9, 2, 5, 10, 3, 4}, {9, 1, 6, 5, 10, 8, 7, 4, 3, 2}, {7, 5, 2, 1, 10, 8, 4, 9, 6, 3}, {10, 8, 9, 3, 1, 5, 6, 7, 2, 4}, {10, 3, 4, 6, 9, 5, 1, 7, 8, 2}, {3, 7, 9, 5, 10, 1, 6, 4, 8, 2}, {5, 4, 6, 10, 7, 1, 9, 3, 2, 8}, {7, 2, 6, 1, 4, 3, 8, 10, 9, 5}, {6, 3, 7, 10, 9, 5, 8, 1, 2, 4}, {6, 3, 8, 4, 10, 5, 7, 1, 9, 2}, {2, 4, 5, 8, 1, 9, 10, 7, 6, 3}, {6, 10, 9, 1, 8, 7, 4, 5, 2, 3}, {3, 9, 5, 10, 6, 7, 4, 2, 1, 8}, {9, 10, 5, 7, 1, 3, 8, 6, 2, 4}, {2, 5, 4, 10, 6, 1, 7, 9, 3, 8}, {4, 1, 10, 6, 5, 2, 7, 9, 3, 8}, {3, 1, 6, 9, 10, 7, 4, 8, 2, 5}, {10, 7, 4, 2, 3, 9, 5, 8, 6, 1}, {8, 2, 3, 6, 7, 5, 10, 9, 4, 1}, {7, 8, 1, 4, 6, 5, 10, 9, 3, 2}, {7, 6, 3, 5, 1, 9, 2, 10, 8, 4}, {10, 9, 7, 6, 2, 5, 8, 3, 1, 4}, {5, 8, 1, 9, 7, 3, 6, 4, 10, 2}, {1, 5, 10, 9, 3, 4, 8, 7, 6, 2}, {3, 4, 2, 10, 1, 9, 5, 7, 6, 8}, {6, 2, 9, 4, 3, 7, 1, 10, 8, 5}, {6, 9, 3, 1, 5, 10, 8, 4, 2, 7}, {8, 2, 6, 5, 10, 3, 7, 4, 9, 1}, {7, 1, 10, 8, 3, 9, 6, 2, 5, 4}, {1, 9, 2, 10, 8, 6, 3, 4, 7, 5}, {10, 1, 3, 2, 5, 9, 7, 6, 4, 8}, {1, 6, 4, 5, 10, 7, 9, 8, 3, 2}, {7, 4, 1, 5, 9, 2, 6, 10, 8, 3}, {8, 4, 3, 7, 10, 2, 1, 5, 6, 9}, {1, 2, 7, 3, 10, 9, 4, 5, 6, 8}, {5, 2, 6, 7, 10, 3, 8, 1, 4, 9}, {5, 8, 10, 3, 7, 1, 6, 9, 4, 2}, {7, 3, 10, 8, 5, 1, 4, 9, 6, 2}, {8, 2, 6, 5, 3, 4, 10, 7, 9, 1}, {5, 3, 4, 6, 2, 7, 1, 8, 10, 9}, {4, 7, 5, 6, 9, 8, 3, 2, 10, 1}, {8, 5, 4, 9, 2, 7, 1, 3, 6, 10}}Textfield(studAns) → InputBox1Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNose4, {9, 7, 8, 3, 3, 4, 3, 2, 4, 3, 2, 4, 3, 3, 9, 8, 2, 8, 9, 9, 9, 10, 6, 7, 3, 2, 2, 3, 4, 7, 3, 2, 7, 9, 10, 4, 4, 6, 4, 4, 5, 2, 3, 9, 7, 9, 6, 4, 9, 6, 4, 10, 8, 4, 7, 6, 9, 10, 2, 8, 5, 9, 5, 10, 5, 4, 5, 6, 10, 3, 9, 9, 4, 10, 8, 5, 4, 9, 3, 9, 3, 10, 3, 3, 2, 10, 4, 5, 3, 4, 8, 5, 10, 6, 7, 8, 5, 2, 5, 10}Element(randomNose4, Mod[count, 100] + 1) → e4Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosc2, {9, 9, 4, 5, 8, 7, 10, 6, 4, 8, 5, 6, 8, 10, 10, 2, 5, 9, 7, 4, 3, 2, 8, 9, 10, 3, 10, 4, 7, 10, 4, 9, 10, 9, 10, 10, 10, 5, 6, 4, 10, 5, 9, 10, 2, 7, 5, 8, 9, 3, 2, 8, 6, 9, 6, 7, 7, 2, 10, 2, 5, 3, 3, 5, 10, 5, 5, 3, 10, 2, 4, 3, 4, 2, 6, 2, 4, 5, 8, 10, 2, 5, 3, 9, 6, 10, 7, 3, 6, 6, 7, 5, 6, 10, 8, 4, 3, 4, 8, 5}Element(randomNosc2, Mod[count, 100] + 1) → c2Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosc1, {8, 3, 6, 5, 4, 5, 7, 10, 4, 3, 7, 6, 5, 2, 7, 5, 3, 5, 5, 3, 5, 10, 6, 2, 3, 6, 8, 2, 8, 10, 2, 10, 8, 10, 2, 6, 9, 9, 7, 6, 5, 5, 3, 5, 4, 9, 6, 5, 7, 8, 2, 3, 7, 5, 3, 8, 3, 9, 4, 6, 10, 8, 10, 10, 9, 3, 5, 10, 2, 6, 7, 7, 2, 10, 9, 3, 6, 6, 7, 3, 10, 6, 3, 5, 8, 9, 5, 10, 4, 3, 8, 4, 7, 5, 3, 9, 5, 10, 3, 4}Element(randomNosc1, Mod[count, 100] + 1) → c1Shuffle(Sequence[Random[9, 30], i, 1, 100]) → randomNose2, {17, 14, 11, 11, 17, 10, 12, 21, 30, 13, 10, 12, 23, 21, 21, 19, 27, 10, 21, 29, 26, 20, 12, 21, 17, 20, 19, 10, 16, 16, 30, 20, 14, 13, 11, 10, 20, 22, 21, 11, 17, 29, 27, 25, 15, 30, 18, 27, 11, 28, 28, 29, 24, 17, 29, 26, 15, 28, 10, 14, 17, 20, 10, 18, 30, 9, 20, 27, 10, 27, 26, 28, 19, 27, 17, 15, 17, 18, 19, 19, 21, 11, 22, 16, 16, 26, 28, 16, 25, 20, 18, 24, 25, 26, 12, 20, 23, 9, 9, 17}Element(randomNose2, Mod[count, 100] + 1) → e2Shuffle(Sequence[Random[20, 50], i, 1, 100]) → randomNosa2, {37, 29, 49, 23, 26, 24, 36, 23, 36, 35, 26, 45, 39, 29, 48, 43, 39, 46, 45, 37, 35, 47, 29, 22, 36, 44, 33, 24, 50, 49, 25, 50, 39, 45, 37, 35, 49, 30, 38, 30, 31, 35, 33, 41, 29, 25, 50, 28, 32, 40, 38, 44, 25, 27, 20, 41, 26, 34, 47, 27, 31, 43, 38, 42, 41, 35, 33, 48, 35, 38, 23, 40, 31, 41, 40, 21, 33, 45, 44, 41, 37, 47, 46, 50, 38, 23, 47, 41, 37, 36, 32, 47, 39, 46, 34, 43, 30, 33, 28, 28}Element(randomNosa2, Mod[count, 100] + 1) → a2Shuffle(Sequence[Random[2, 30], i, 1, 100]) → randomNosa1, {20, 7, 23, 9, 30, 18, 16, 21, 22, 26, 28, 4, 20, 10, 8, 14, 3, 30, 3, 7, 7, 28, 22, 27, 11, 15, 17, 21, 4, 14, 10, 29, 27, 17, 27, 26, 7, 4, 28, 4, 22, 9, 9, 6, 26, 23, 12, 10, 28, 12, 17, 4, 3, 23, 7, 9, 27, 3, 11, 19, 16, 27, 26, 18, 10, 25, 16, 25, 22, 17, 3, 15, 7, 3, 26, 15, 11, 15, 4, 2, 28, 21, 20, 26, 16, 13, 12, 10, 25, 12, 14, 11, 28, 2, 9, 5, 27, 5, 11, 8}Element(randomNosa1, Mod[count, 100] + 1) → a1Shuffle(Sequence[Random[10, 40], i, 1, 100]) → randomNosb2, {16, 14, 31, 21, 23, 28, 38, 11, 10, 26, 13, 21, 21, 39, 31, 25, 14, 29, 13, 11, 29, 29, 22, 18, 36, 22, 12, 31, 27, 32, 21, 27, 36, 37, 23, 26, 32, 37, 24, 32, 23, 39, 25, 36, 12, 12, 35, 18, 24, 10, 31, 31, 12, 37, 21, 37, 37, 37, 30, 27, 16, 34, 27, 19, 33, 29, 31, 20, 30, 40, 35, 24, 33, 32, 26, 23, 30, 19, 38, 24, 23, 12, 17, 34, 24, 12, 26, 17, 16, 11, 37, 40, 35, 24, 28, 30, 22, 22, 35, 37}Element(randomNosb2, Mod[count, 100] + 1) → b2Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosd2, {10, 5, 6, 10, 7, 2, 6, 9, 10, 10, 6, 3, 2, 3, 2, 8, 4, 9, 4, 3, 2, 2, 4, 3, 3, 9, 7, 4, 9, 5, 7, 5, 10, 3, 10, 3, 3, 9, 2, 3, 10, 7, 9, 8, 2, 4, 6, 4, 9, 9, 7, 9, 8, 2, 2, 2, 3, 7, 8, 2, 8, 3, 7, 10, 4, 6, 4, 10, 3, 6, 3, 4, 5, 10, 8, 10, 10, 9, 8, 8, 2, 5, 9, 10, 10, 3, 10, 4, 7, 2, 6, 5, 4, 2, 7, 9, 5, 5, 7, 9}Element(randomNosd2, Mod[count, 100] + 1) → d2Element(calcTexts, Element[ind, step]) → text5Segment((0, 0.7), (40, 0.7)) → fSegment((0, -9.3), (40, -9.3)) → gPolygon(E, F, G, H) → v1, e, f_1, g_1, hOrthogonalLine(A_1, xAxis) → iSequence(Translate[Element[salat1, i], Vector[SalatPos1 + ((i - 1) * (dxFolge, 0))]], i, 1, 3) → showSalat1Sequence(Translate[Element[salat2, i], Vector[SalatPos2 + ((i - 1) * (dxFolge, 0))]], i, 1, 3) → showSalat2Sequence(Translate[Element[salat3, i], Vector[SalatPos3 + ((i - 1) * (dxFolge, 0))]], i, 1, 3) → showSalat3If(turboschnecke, (1 / 3 * 0.7), regenbogenschnecke, (1 / 6 * 0.8), (1 / 6 * 0.6)) → speed2
AI 绘图提示语参考
绘制一个数轴上的蜗牛赛跑场景。数轴水平放置,从0延伸到40,在数轴上方和下方各有一条水平线段代表赛道。左侧(数轴下方)显示一组随机整数(负数为主),右侧(数轴上方)显示另一组随机整数,两组数字一一对应比较大小。根据比较结果,用不同颜色或符号标记每对数字的关系(大于、小于或等于)。在赛道上设置多个蜗牛图标,每个蜗牛根据对应整数值在数轴上获得相应位置。创建几个蔬菜图标(生菜、西兰花等)作为奖励标记,沿赛道分布。最后在界面中加入一个输入框供学生答题,并设置动态的速度参数,让蜗牛能够以不同速度完成比赛。
以上提示语为根据原始绘图命令整理而来,仅供参考。