Pentagonal Prism Construction and Net

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2016-05-14 02:13

① This example shows how to build a regular pentagonal prism in GeoGebra 3D and display its net, making the solid's structure and surface unfolding easy to visualize. ② Core math concepts include prism definition, regular polygon bases, rectangular lateral faces, edge-vertex relationships, and net folding. ③ Construction steps: use the Polygon command to create the base pentagon (poly1), the Prism command to extrude it into a solid, the Net command to generate the unfolded surface, and PointIn to mark interior points; objects include vertices A, B, C, D, E, lateral faces faceABLK, faceBCML, etc., and edges edgeAK, edgeBL, etc., plus auxiliary points F, G, H, I. ④ Suitable for middle school geometry lessons, spatial reasoning practice, and teacher-made dynamic demonstrations.

GeoGebra Commands & Parameters

Polygon(A, B, 5) → poly1, f, g, h, i, j, C, D, E
Prism(poly1, b) → c, K, faceAEOK, faceKLMNO, edgeAK, edgeBL, edgeCM, edgeDN, edgeEO, edgeKL, edgeLM, edgeMN, L, edgeNO, edgeKO, M, N, O, faceABLK, faceBCML, faceCDNM, faceDEON
Net(c, a) → d, F, T, U, V, W, Z, A_1, B_1, C_1, D_1, faceFGHIJ, G, faceFGQP, faceGHSR, faceHIUT, faceIJWV, face1, face2, edgeFG, edgeGH, edgeHI, edgeIJ, H, edgeFJ, edgeFP, edgePQ, edgeGQ, edgeGR, edgeRS, edgeHS, edgeHT, edgeTU, edgeIU, I, edgeIV, edgeVW, edgeJW, edgeJZ, edge4, edge1, edge3, edge5, edge6, edge2, J, P, Q, R, S
PointIn(faceHIUT) → PointfaceHIUT
PointIn(faceIJWV) → PointfaceIJWV
PointIn(faceFGHIJ) → PointfaceFGHIJ
PointIn(face2) → Pointface2
PointIn(faceFGQP) → PointfaceFGQP
PointIn(face1) → Pointface1
PointIn(faceGHSR) → PointfaceGHSR