函数图像与几何图形综合演示

几何画板及绘图内容加载中，请稍等……

2014-09-15 07:47

所属专题 Searching for Eulerian and Hamiltonian Paths

①本范例演示了指数函数、二项分布、标准差等数学概念的图像化表示与几何图形的交互；②涉及核心概念包括函数图像绘制、指数函数特性、二项分布概率、标准差计算、梯形与立方体几何构造；③构造要点运用了Segment（线段）、AttachCopyToView（对象复制）、滑块动画（Slider Animation）、轨迹（Locus）等GeoGebra命令；④适合高中及以上数学教学，用于函数图像分析、概率统计可视化及几何作图演示。

GeoGebra 命令及参数

Segment(A, B) → a
Segment(A, D) → b
Segment(D, C) → c
Segment(C, B) → h
AttachCopyToView(PolyLine[(2.320000000000007, 5.939999999999997), (2.280000000000007, 5.859999999999997), (2.220000000000007, 5.799999999999997), (2.160000000000007, 5.759999999999997), (2.1200000000000068, 5.6999999999999975), (2.0600000000000067, 5.6599999999999975), (2.0400000000000067, 5.599999999999997), (1.9800000000000064, 5.539999999999997), (1.9600000000000064, 5.479999999999997), (1.9000000000000064, 5.419999999999997), (1.8800000000000063, 5.359999999999998), (1.8200000000000063, 5.299999999999997), (1.8000000000000063, 5.219999999999997), (1.7600000000000062, 5.1599999999999975), (1.7200000000000062, 5.099999999999998), (1.6800000000000062, 5.039999999999997), (1.6600000000000061, 4.979999999999998), (1.6200000000000059, 4.919999999999997), (1.5800000000000058, 4.859999999999998), (1.5600000000000058, 4.779999999999998), (1.5200000000000058, 4.719999999999998), (1.5200000000000058, 4.639999999999998), (1.5000000000000058, 4.579999999999997), (1.4600000000000057, 4.519999999999998), (1.4400000000000057, 4.439999999999998), (1.4200000000000057, 4.379999999999998), (1.4000000000000057, 4.299999999999998), (1.3800000000000057, 4.2399999999999975), (1.3600000000000056, 4.179999999999998), (1.3400000000000056, 4.119999999999998), (1.3400000000000056, 4.039999999999998), (1.3400000000000056, 3.939999999999998), (1.3200000000000056, 3.879999999999998), (1.3200000000000056, 3.799999999999998), (1.3000000000000056, 3.739999999999998), (1.3000000000000056, 3.6599999999999984), (1.2800000000000056, 3.5799999999999983), (1.2800000000000056, 3.4999999999999982), (1.2600000000000056, 3.439999999999998), (1.2600000000000056, 3.3599999999999985), (1.2600000000000056, 3.2799999999999985), (1.2600000000000056, 3.1999999999999984), (1.2800000000000056, 3.1399999999999983), (1.3000000000000056, 3.0799999999999983), (1.3400000000000056, 3.0199999999999987), (1.3800000000000057, 2.9599999999999986), (1.4000000000000057, 2.8999999999999986), (1.4400000000000057, 2.8399999999999985), (1.4800000000000058, 2.7799999999999985), (1.5200000000000058, 2.719999999999999), (1.5800000000000058, 2.679999999999999), (1.6000000000000059, 2.6199999999999988), (1.6600000000000061, 2.5799999999999987), (1.6800000000000062, 2.5199999999999987), (1.7000000000000062, 2.4599999999999986), (1.7200000000000062, 2.3999999999999986), (1.7600000000000062, 2.339999999999999), (1.8000000000000063, 2.279999999999999), (1.8200000000000063, 2.219999999999999), (1.8800000000000063, 2.159999999999999), (1.9000000000000064, 2.079999999999999), (1.9600000000000064, 2.019999999999999), (2.0000000000000067, 1.959999999999999), (2.0200000000000067, 1.899999999999999), (2.0400000000000067, 1.839999999999999), (2.0800000000000067, 1.7799999999999991), (2.1200000000000068, 1.719999999999999), (2.140000000000007, 1.6599999999999993), (2.160000000000007, 1.5999999999999992), (2.200000000000007, 1.5399999999999991), (2.220000000000007, 1.4799999999999993), (2.260000000000007, 1.4199999999999993), (2.320000000000007, 1.3799999999999992), (2.360000000000007, 1.3199999999999994), true], 1, (-4.820000000000002, -3.0399999999999983), (8.120000000000015, 7.0799999999999965), (0, 506), (647, 0)) → stroke1
AttachCopyToView(PolyLine[(2.520000000000007, 5.999999999999997), (2.580000000000007, 5.919999999999997), (2.620000000000007, 5.859999999999997), (2.6600000000000072, 5.799999999999997), (2.7000000000000073, 5.7399999999999975), (2.7600000000000073, 5.679999999999997), (2.8000000000000074, 5.619999999999997), (2.8400000000000074, 5.559999999999997), (2.8600000000000074, 5.499999999999997), (2.8800000000000074, 5.439999999999998), (2.9200000000000075, 5.379999999999997), (2.9400000000000075, 5.319999999999998), (2.9600000000000075, 5.259999999999997), (2.9800000000000075, 5.1999999999999975), (3.0200000000000076, 5.119999999999997), (3.0400000000000076, 5.039999999999997), (3.0600000000000076, 4.979999999999998), (3.0800000000000076, 4.919999999999997), (3.1000000000000076, 4.859999999999998), (3.1200000000000077, 4.799999999999997), (3.1400000000000077, 4.7399999999999975), (3.1600000000000077, 4.6599999999999975), (3.1800000000000077, 4.599999999999998), (3.2000000000000077, 4.539999999999997), (3.2000000000000077, 4.459999999999998), (3.2200000000000077, 4.399999999999998), (3.2200000000000077, 4.319999999999998), (3.2400000000000078, 4.259999999999998), (3.2600000000000082, 4.1999999999999975), (3.2600000000000082, 4.119999999999998), (3.2600000000000082, 4.039999999999998), (3.2600000000000082, 3.959999999999998), (3.2600000000000082, 3.859999999999998), (3.2600000000000082, 3.759999999999998), (3.2600000000000082, 3.6599999999999984), (3.2600000000000082, 3.5599999999999983), (3.2600000000000082, 3.479999999999998), (3.2600000000000082, 3.379999999999998), (3.2400000000000078, 3.3199999999999985), (3.2200000000000077, 3.2399999999999984), (3.2000000000000077, 3.1799999999999984), (3.1600000000000077, 3.1199999999999983), (3.1400000000000077, 3.0199999999999987), (3.1000000000000076, 2.9599999999999986), (3.0800000000000076, 2.8799999999999986), (3.0600000000000076, 2.7999999999999985), (3.0400000000000076, 2.7399999999999984), (3.0200000000000076, 2.679999999999999), (3.0000000000000075, 2.6199999999999988), (2.9800000000000075, 2.5399999999999987), (2.9600000000000075, 2.4599999999999986), (2.9600000000000075, 2.379999999999999), (2.9400000000000075, 2.319999999999999), (2.9200000000000075, 2.239999999999999), (2.9000000000000075, 2.179999999999999), (2.8800000000000074, 2.1199999999999988), (2.8400000000000074, 2.059999999999999), (2.8000000000000074, 1.9999999999999991), (2.7800000000000074, 1.919999999999999), (2.7600000000000073, 1.859999999999999), (2.7200000000000073, 1.7999999999999992), (2.6800000000000073, 1.739999999999999), (2.6600000000000072, 1.6799999999999993), (2.6400000000000072, 1.6199999999999992), (2.620000000000007, 1.5599999999999992), (2.620000000000007, 1.4799999999999993), (2.600000000000007, 1.4199999999999993), (2.580000000000007, 1.3599999999999994), (2.520000000000007, 1.3199999999999994), (2.480000000000007, 1.2599999999999993), (2.460000000000007, 1.1999999999999993), true], 1, (-4.820000000000002, -3.0399999999999983), (8.120000000000015, 7.0799999999999965), (0, 506), (647, 0)) → stroke2

AI 绘图提示语参考

绘制一个包含指数函数曲线、二项分布图和标准差线的图形，并展示它们与梯形和立方体的交互。首先画出两条曲线，然后添加梯形和立方体，最后用线段连接关键点，形成几何形状。

以上提示语为根据原始绘图命令整理而来，仅供参考。