立体截面与体积：用积分与截面积平均建模GeoGebra

GeoGebra 命令及参数

1. Vector(T, U) → v
2. Polygon(A, B, 4) → poly1, f_2, g, h_1, i, C, D
3. Vector(E, F) → u
4. Translate(B, v) → B'
5. Translate(D, v) → D'
6. Translate(C, v) → C'
7. Translate(A, v) → A'
8. Polygon(A', B', C', D') → poly2, a', b', c', d'
9. Polygon(G, H, I, J) → poly3, g_1, h_2, i_1, j
10. Prism(poly1, N) → c, O, edgeBO, edgeCP, edgeDQ, edgeNO, edgeOP, edgePQ, edgeNQ, P, Q, faceABON, faceBCPO, faceCDQP, faceADQN, faceNOPQ, edgeAN
11. Point(yAxis) → R
12. Plane(S, xOyPlane) → d
13. Volume(c) → volumec
14. Point(c) → Pointc
15. Translate(G, u) → G'
16. Translate(J, u) → J'
17. Translate(H, u) → H'
18. Prism(poly2, G') → e, V, edgeB'V, edgeC'W, edgeD'Z, edgeG'V, edgeVW, edgeWZ, edgeG'Z, W, Z, faceA'B'VG', faceB'C'WV, faceC'D'ZW, faceA'D'ZG', faceG'VWZ, edgeA'G'
19. IntersectPath(d, c) → poly4, K, L, M, A_1, k, l, n, p
20. IntersectPath(d, e) → poly5, B_1, C_1, D_1, E_1, q, r, s, t