展开盒子 - 锥体 - 探索
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本范例演示锥体的展开图。核心数学概念包括立体几何和几何作图。通过使用GeoGebra命令如PointIn、Polygon、Circle等,可以构造锥体的展开图。适合初中及以上学生学习锥体的性质和展开图。
GeoGebra 命令及参数
PointIn(xOyPlane) → APointIn(xOyPlane) → BPolygon(A, B, 4, xOyPlane) → squa, segmAB, g, h, i, C, DCircle(Midpoint[A, B], (0.5 * Segment[A, B]), xOyPlane) → cPoint(c) → EPolygon(A, B, E) → rightTri, e, a_1, bOrthogonalLine(Midpoint[A, B], segmAB, xOyPlane) → fPoint(f) → PPolygon(A, B, P) → isoTri, p, a_2, b_1PointIn(xOyPlane) → FOrthogonalLine(F, Segment[A, F], xOyPlane) → jPoint(j) → GOrthogonalLine(G, j, xOyPlane) → kOrthogonalLine(A, Segment[A, F], xOyPlane) → lIntersect(k, l) → HPolygon(A, F, G, H) → rect, a_3, f_1, g_1, h_1SelectedIndex(baseMenu) → isTriangleCenter(A, B, E, 1) → U_2OrthogonalLine(U_2, rightTri) → nPoint(n) → V_2Pyramid(rightTri, V_2) → rightPir, face22, face24, face23, edge63, edge64, edge65TriangleCenter(A, B, P, 1) → IOrthogonalLine(I, isoTri) → qPoint(q) → JPyramid(isoTri, J) → isoPir, faceABJ, faceBJP, faceAJP, edgeAJ, edgeBJ, edgeJPPolygon(A, B, 4, xOyPlane) → poly1, r, s, t, a, K, LSegment(A, K) → dSegment(L, B) → i_1Intersect(d, i_1) → MOrthogonalLine(M, squa) → j_1Point(j_1) → NPyramid(squa, N) → squaPir, faceABN, faceBCN, faceCDN, faceADN, edgeAN, edgeBN, edgeCN, edgeDNMidpoint(A, G) → OOrthogonalLine(O, rect) → k_1Point(k_1) → QPyramid(rect, Q) → rectPir, faceAFQ, faceFGQ, faceGHQ, faceAHQ, edgeAQ, edgeFQ, edgeGQ, edgeHQNet(isoPir, open) → isoNet, R, faceRTW, edgeRS, edgeST, edgeRT, edgeRU, edgeSU, edgeSV, edgeTV, edgeTW, edgeRW, S, T, U, V, W, faceRST, faceRSU, faceSTVNet(rightPir, open) → rightNet, C_1, face3, edge1, edge5, edge2, edge3, edge6, edge7, edge8, edge9, edge4, D_1, E_1, F_1, G_1, H_1, face1, face2, face4Net(squaPir, open) → squaNet, C_2, face5, face7, face8, face6, edge10, edge14, edge17, edge11, edge12, edge15, D_2, edge16, edge18, edge19, edge20, edge21, edge13, E_2, F_2, G_2, H_2, I_2, J_2, face9Net(rectPir, open) → rectNet, O_2, face10, face12, face13, face11, edge22, edge26, edge29, edge23, edge24, edge27, P_2, edge28, edge30, edge31, edge32, edge33, edge25, Q_2, R_2, S_2, T_2, W_2, Z_2, face14Angle(B, E, A) → α
AI 绘图提示语参考
请绘制一个金字塔的展开图,包含四个三角形和四个矩形。起始于一个正方形,然后将其对角线分割成两个三角形,再将每个三角形向上延伸形成金字塔的侧面。确保图形清晰,线条简洁,适合教学使用。
以上提示语为根据原始绘图命令整理而来,仅供参考。