定积分与黎曼和示例

GeoGebra 命令及参数

1. Textfield(ax) → InputBox1
2. Textfield(bx) → InputBox2
3. Textfield(ay) → InputBox3
4. Textfield(by) → InputBox4
5. Textfield(b) → InputBox5
6. Line(A4, xAxis) → i
7. Line(A3, xAxis) → j
8. Line(A2, yAxis) → k
9. Line(A1, yAxis) → l
10. Intersect(i, l) → A
11. Intersect(i, k) → B
12. Intersect(k, j) → C
13. Intersect(l, j) → D
14. Polygon(A, B, C, D) → poly1, s, t, d, e
15. Segment(D', D) → m
16. Segment(C', C) → n1
17. Segment(B, B') → q
18. Segment(A', A) → r
19. Function(b, ax, bx, ay, by) → o
20. Surface(ax, s, (t * o(ax, s)), s, ay, by, t, 0, 1) → u1
21. Surface(bx, s, (t * o(bx, s)), s, ay, by, t, 0, 1) → u2
22. Surface(s, ay, (t * o(s, ay)), s, ax, bx, t, 0, 1) → u3
23. Surface(s, by, (t * o(s, by)), s, ax, bx, t, 0, 1) → u4
24. Integral(b, y) → u
25. Sequence(ay + (i * (by - ay) / n), i, 0, n) → list1, {1, 1.004, 1.008, 1.012, 1.016, 1.02, 1.024, 1.028, 1.032, 1.036, 1.04, 1.044, 1.048, 1.052, 1.056, 1.06, 1.064, 1.068, 1.072, 1.076, 1.08, 1.084, 1.088, 1.092, 1.096, 1.1, 1.104, 1.108, 1.112, 1.116, 1.12, 1.124, 1.1280000000000001, 1.1320000000000001, 1.1360000000000001, 1.1400000000000001, 1.1440000000000001, 1.148, 1.152, 1.156, 1.16, 1.164, 1.168, 1.172, 1.176, 1.18, 1.184, 1.188, 1.192, 1.196, 1.2, 1.204, 1.208, 1.212, 1.216, 1.22, 1.224, 1.228, 1.232, 1.236, 1.24, 1.244, 1.248, 1.252, 1.256, 1.26, 1.264, 1.268, 1.272, 1.276, 1.28, 1.284, 1.288, 1.292, 1.296, 1.3, 1.304, 1.308, 1.312, 1.316, 1.32, 1.324, 1.328, 1.332, 1.336, 1.34, 1.344, 1.348, 1.3519999999999999, 1.3559999999999999, 1.3599999999999999, 1.3639999999999999, 1.3679999999999999, 1.3719999999999999, 1.376, 1.38, 1.384, 1.388, 1.392, 1.396, 1.4, 1.404, 1.408, 1.412, 1.416, 1.42, 1.424, 1.428, 1.432, 1.436, 1.44, 1.444, 1.448, 1.452, 1.456, 1.46, 1.464, 1.468, 1.472, 1.476, 1.48, 1.484, 1.488, 1.492, 1.496, 1.5, 1.504, 1.508, 1.512, 1.516, 1.52, 1.524, 1.528, 1.532, 1.536, 1.54, 1.544, 1.548, 1.552, 1.556, 1.56, 1.564, 1.568, 1.572, 1.576, 1.58, 1.584, 1.588, 1.592, 1.596, 1.6, 1.604, 1.608, 1.612, 1.616, 1.62, 1.624, 1.6280000000000001, 1.6320000000000001, 1.6360000000000001, 1.6400000000000001, 1.6440000000000001, 1.6480000000000001, 1.6520000000000001, 1.6560000000000001, 1.6600000000000001, 1.6640000000000001, 1.6680000000000001, 1.6720000000000002, 1.6760000000000002, 1.6800000000000002, 1.6840000000000002, 1.6880000000000002, 1.6920000000000002, 1.6960000000000002, 1.7000000000000002, 1.704, 1.708, 1.712, 1.716, 1.72, 1.724, 1.728, 1.732, 1.736, 1.74, 1.744, 1.748, 1.752, 1.756, 1.76, 1.764, 1.768, 1.772, 1.776, 1.78, 1.784, 1.788, 1.792, 1.796, 1.8, 1.804, 1.808, 1.812, 1.816, 1.82, 1.824, 1.828, 1.832, 1.8359999999999999, 1.8399999999999999, 1.8439999999999999, 1.8479999999999999, 1.8519999999999999, 1.8559999999999999, 1.8599999999999999, 1.8639999999999999, 1.8679999999999999, 1.8719999999999999, 1.876, 1.88, 1.884, 1.888, 1.892, 1.896, 1.9, 1.904, 1.908, 1.912, 1.916, 1.92, 1.924, 1.928, 1.932, 1.936, 1.94, 1.944, 1.948, 1.952, 1.956, 1.96, 1.964, 1.968, 1.972, 1.976, 1.98, 1.984, 1.988, 1.992, 1.996, 2, 2.004, 2.008, 2.012, 2.016, 2.02, 2.024, 2.028, 2.032, 2.036, 2.04, 2.044, 2.048, 2.052, 2.056, 2.06, 2.064, 2.068, 2.072, 2.076, 2.08, 2.084, 2.088, 2.092, 2.096, 2.1, 2.104, 2.108, 2.112, 2.116, 2.12, 2.124, 2.128, 2.132, 2.136, 2.14, 2.144, 2.148, 2.152, 2.1559999999999997, 2.16, 2.1639999999999997, 2.168, 2.1719999999999997, 2.176, 2.1799999999999997, 2.184, 2.1879999999999997, 2.192, 2.1959999999999997, 2.2, 2.2039999999999997, 2.208, 2.2119999999999997, 2.216, 2.2199999999999998, 2.224, 2.2279999999999998, 2.232, 2.2359999999999998, 2.24, 2.2439999999999998, 2.248, 2.252, 2.2560000000000002, 2.26, 2.2640000000000002, 2.268, 2.2720000000000002, 2.276, 2.2800000000000002, 2.284, 2.2880000000000003, 2.292, 2.2960000000000003, 2.3, 2.3040000000000003, 2.308, 2.3120000000000003, 2.316, 2.3200000000000003, 2.324, 2.3280000000000003, 2.332, 2.3360000000000003, 2.34, 2.3440000000000003, 2.348, 2.3520000000000003, 2.356, 2.3600000000000003, 2.364, 2.3680000000000003, 2.372, 2.3760000000000003, 2.38, 2.3840000000000003, 2.388, 2.3920000000000003, 2.396, 2.4000000000000004, 2.404, 2.408, 2.412, 2.416, 2.42, 2.424, 2.428, 2.432, 2.436, 2.44, 2.444, 2.448, 2.452, 2.456, 2.46, 2.464, 2.468, 2.472, 2.476, 2.48, 2.484, 2.488, 2.492, 2.496, 2.5, 2.504, 2.508, 2.512, 2.516, 2.52, 2.524, 2.528, 2.532, 2.536, 2.54, 2.544, 2.548, 2.552, 2.556, 2.56, 2.564, 2.568, 2.572, 2.576, 2.58, 2.584, 2.588, 2.592, 2.596, 2.6, 2.604, 2.608, 2.612, 2.616, 2.62, 2.624, 2.628, 2.632, 2.636, 2.64, 2.644, 2.648, 2.652, 2.656, 2.66, 2.664, 2.668, 2.6719999999999997, 2.676, 2.6799999999999997, 2.684, 2.6879999999999997, 2.692, 2.6959999999999997, 2.7, 2.7039999999999997, 2.708, 2.7119999999999997, 2.716, 2.7199999999999998, 2.724, 2.7279999999999998, 2.732, 2.7359999999999998, 2.74, 2.7439999999999998, 2.748, 2.752, 2.7560000000000002, 2.76, 2.7640000000000002, 2.768, 2.7720000000000002, 2.776, 2.7800000000000002, 2.784, 2.7880000000000003, 2.792, 2.7960000000000003, 2.8, 2.8040000000000003, 2.808, 2.8120000000000003, 2.816, 2.8200000000000003, 2.824, 2.8280000000000003, 2.832, 2.8360000000000003, 2.84, 2.8440000000000003, 2.848, 2.8520000000000003, 2.856, 2.8600000000000003, 2.864, 2.8680000000000003, 2.872, 2.8760000000000003, 2.88, 2.8840000000000003, 2.888, 2.8920000000000003, 2.896, 2.9000000000000004, 2.904, 2.9080000000000004, 2.912, 2.9160000000000004, 2.92, 2.924, 2.928, 2.932, 2.936, 2.94, 2.944, 2.948, 2.952, 2.956, 2.96, 2.964, 2.968, 2.972, 2.976, 2.98, 2.984, 2.988, 2.992, 2.996, 3}
26. Element(list3, faces) → Selectedvector