地球上的直线距离（球面两点弦长计算）
2020-05-17 10:40
本 GeoGebra 范例以三维球体模拟地球，绘制赤道、本初子午线、经纬网等地理要素，并在球面上取两点 A、B，演示如何计算两点之间的直线距离（弦长）。通过 Sphere、Circle、Sequence 等命令构建地球模型，利用 Segment 和距离公式展示三维空间中两点间的欧氏距离，帮助理解球面坐标与空间向量的关系，适用于立体几何与向量教学。
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1.085), (5; -1.462; 1.085), (5; -1.466; 1.09)], PolyLine[(5; -1.313; 1.177), (5; -1.324; 1.172), (5; -1.344; 1.171), (5; -1.348; 1.18), (5; -1.341; 1.189), (5; -1.325; 1.192), (5; -1.311; 1.187), (5; -1.311; 1.179), (5; -1.313; 1.177)], PolyLine[(5; -1.685; 1.216), (5; -1.669; 1.206), (5; -1.68; 1.2), (5; -1.704; 1.205), (5; -1.718; 1.203), (5; -1.742; 1.211), (5; -1.726; 1.217), (5; -1.714; 1.224), (5; -1.696; 1.219), (5; -1.685; 1.216)], PolyLine[(5; -1.859; 1.275), (5; -1.84; 1.268), (5; -1.829; 1.251), (5; -1.823; 1.239), (5; -1.794; 1.23), (5; -1.762; 1.222), (5; -1.764; 1.214), (5; -1.793; 1.213), (5; -1.782; 1.206), (5; -1.788; 1.2), (5; -1.819; 1.203), (5; -1.849; 1.207), (5; -1.87; 1.206), (5; -1.902; 1.2), (5; -1.947; 1.198), (5; -1.978; 1.196), (5; -1.987; 1.204), (5; -2.011; 1.209), (5; -2.027; 1.207), (5; -2.048; 1.221), (5; -2.036; 1.223), (5; -2.009; 1.226), (5; -1.985; 1.225), (5; -1.962; 1.228), (5; -1.996; 1.232), (5; -2.033; 1.231), (5; -2.058; 1.231), (5; -2.067; 1.238), (5; 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2.4; 1.326), (5; 2.423; 1.329)], PolyLine[(5; -1.721; 1.337), (5; -1.719; 1.339), (5; -1.706; 1.331), (5; -1.705; 1.322), (5; -1.713; 1.309), (5; -1.742; 1.307), (5; -1.761; 1.31), (5; -1.76; 1.32), (5; -1.789; 1.319), (5; -1.79; 1.332), (5; -1.771; 1.332), (5; -1.745; 1.338), (5; -1.721; 1.337)], PolyLine[(5; 1.795; 1.384), (5; 1.839; 1.374), (5; 1.834; 1.367), (5; 1.736; 1.36), (5; 1.767; 1.383), (5; 1.782; 1.385), (5; 1.795; 1.384)], PolyLine[(5; 1.637; 1.414), (5; 1.674; 1.418), (5; 1.708; 1.409), (5; 1.749; 1.392), (5; 1.744; 1.377), (5; 1.706; 1.375), (5; 1.658; 1.38), (5; 1.629; 1.386), (5; 1.615; 1.399), (5; 1.591; 1.402), (5; 1.637; 1.414)], PolyLine[(5; -1.676; 1.407), (5; -1.664; 1.412), (5; -1.646; 1.413), (5; -1.654; 1.417), (5; -1.613; 1.418), (5; -1.591; 1.409), (5; -1.533; 1.402), (5; -1.519; 1.39), (5; -1.498; 1.385), (5; -1.522; 1.38), (5; -1.554; 1.366), (5; -1.585; 1.365), (5; -1.621; 1.367), (5; -1.64; 1.374), (5; -1.64; 1.381), (5; -1.626; 1.385), (5; -1.658; 1.385), (5; 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0.51), (5; 6.048; 0.506), (5; 6.043; 0.503)], PolyLine[(5; 5.973; 0.498), (5; 5.969; 0.502), (5; 5.971; 0.504), (5; 5.974; 0.502), (5; 5.973; 0.498)], PolyLine[(5; 5.992; 0.488), (5; 5.988; 0.495), (5; 6.001; 0.499), (5; 5.992; 0.488)], PolyLine[(5; 5.982; 0.489), (5; 5.982; 0.492), (5; 5.985; 0.491), (5; 5.982; 0.489)], PolyLine[(5; 6.011; 0.484), (5; 6.007; 0.487), (5; 6.009; 0.491), (5; 6.015; 0.489), (5; 6.011; 0.484)], PolyLine[(5; 0.394; 1.024), (5; 0.385; 1.029), (5; 0.394; 1.031), (5; 0.4; 1.029), (5; 0.402; 1.027), (5; 0.394; 1.024)], PolyLine[(5; 0.406; 1.024), (5; 0.408; 1.022), (5; 0.402; 1.023), (5; 0.406; 1.024)], PolyLine[(5; 0.385; 1.011), (5; 0.387; 1.015), (5; 0.381; 1.017), (5; 0.384; 1.019), (5; 0.381; 1.021), (5; 0.4; 1.023), (5; 0.407; 1.02), (5; 0.39; 1.016), (5; 0.385; 1.011)], PolyLine[(5; 5.254; -0.904), (5; 5.25; -0.9), (5; 5.256; -0.895), (5; 5.264; -0.896), (5; 5.265; -0.897), (5; 5.261; -0.898), (5; 5.267; -0.901), (5; 5.266; -0.897), (5; 5.272; -0.897), (5; 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