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正四棱锥的体积与表面积

正四棱锥的体积与表面积
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2019-05-28 08:48
函数立体几何几何作图
本范例演示正四棱锥的体积与表面积的计算方法。涉及的核心数学概念包括立体几何中的体积和表面积公式。通过使用GeoGebra命令如Polygon、Pyramid等，可以直观地展示四棱锥的构造过程。适合初中及以上学生学习几何作图和立体几何相关知识。

GeoGebra 命令及参数

  1. Polygon(A, B, n, xOyPlane) → poly1, f, a, C, D, E, F, G, H, I, J, g, h, i, p, q, r, s, t
  2. AngularBisector(h, g) → j, k
  3. AngularBisector(g, f) → l, m
  4. AngularBisector(f, h) → b, c
  5. Intersect(m, k) → K
  6. OrthogonalLine(K, xOyPlane) → d
  7. Point(d) → L
  8. Pyramid(poly1, L) → e, faceABL, face7, edgeAL, edgeBL, edgeCL, edge1, edge2, edge3, edge4, edge5, edge6, faceBCL, edge7, faceACL, face1, face2, face3, face4, face5, face6
  9. Net(e, o) → u, M, G_1, Q, R, S, T, V, Z, B_1, D_1, F_1, N, H_1, faceMNOP, faceMNQ, faceNOR, faceOPS, faceMPT, face8, face9, face10, face11, O, face12, face13, edgeMN, edgeNO, edgeOP, edgeMP, edge8, edge11, edge14, edge17, P, edge20, edge23, edgeMQ, edgeNQ, edgeNR, edgeOR, edgeOS, edgePS, edgePT, edgeMT, U, edge9, edge10, edge12, edge13, edge15, edge16, edge18, edge19, edge21, edge22, W, edge24, edge25, A_1, C_1, E_1