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棱柱和圆柱的表面积与体积 by Jose Arturo Gomez Velasquez

棱柱和圆柱的表面积与体积 by Jose Arturo Gomez Velasquez
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2015-02-02 09:14
解析几何立体几何几何作图
所属专题 Area-Volumen-Algebra-inequalities-Trigonometric
本范例演示棱柱和圆柱的体积计算方法。核心概念包括棱柱和圆柱的底面积与高的乘积。通过使用GeoGebra命令如Intersect、Point、Prism、Line、Cylinder、Circle等，可以构造棱柱和圆柱的几何图形。适合初中和高中学生学习几何和立体几何。

GeoGebra 命令及参数

  1. Intersect(yAxis, zAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Point(Circle[B, Distance[C, B], Segment[C, B]]) → I
  5. Point(yAxis) → D
  6. Point(yAxis) → E
  7. Point(xAxis) → F
  8. Point(zAxis) → K
  9. Prism(A, F, C, E, K) → a, G, edgeAF, edgeCF, edgeCE, edgeAE, edgeAK, edgeFG, edgeCH, edgeEJ, edgeGK, edgeGH, H, edgeHJ, edgeJK, J, faceAECF, faceAFGK, faceCFGH, faceCEJH, faceAEJK, faceGHJK
  10. Line(I, zAxis) → b
  11. Cylinder(L, I, 0.5) → c, d, e, f
  12. Cylinder(I, L, 2) → g, h, k, i
  13. Circle(I, 0.5, xOyPlane) → p
  14. Cylinder(p, 2) → m, r, n
  15. Point(yAxis) → M
  16. Line(M, xAxis) → j
  17. Point(xAxis) → O
  18. Point(xAxis) → P
  19. Point(j) → Q
  20. Polygon(N, Q, O) → poly1, o, n_1, q
  21. Prism(poly1, 1) → s, U, edgeOW, edgeUV, edgeVW, edgeUW, V, W, faceNQVU, faceOQVW, faceNOWU, faceUVW, edgeNU, edgeQV
  22. Point(yAxis) → R
  23. Line(D, xAxis) → l
  24. Line(R, xAxis) → t
  25. Point(t) → A_1
  26. Point(t) → B_1
  27. Polygon(A_1, Z, S, T, B_1) → poly3, a_1, z_1, s_1, t_1, b_1
  28. Line(S, b) → c_1
  29. Line(Z, b) → d_1
  30. Line(A_1, c_1) → e_1
  31. Line(B_1, c_1) → f_1
  32. Line(T, b) → g_1
  33. Point(e_1) → G_1
  34. Prism(poly3, G_1) → u, C_1, face6, edge2, edge1, edge4, edge5, edge3, edge6, edge8, edge9, edge10, D_1, edge7, E_1, F_1, face1, face2, face5, face4, face3