积极 AI Logo 积极 AI

长方体表面积计算 by jnelsonteach

长方体表面积计算 by jnelsonteach
几何画板及绘图内容加载中，请稍等……
2019-09-25 22:37
多边形立体几何几何作图
①本范例演示如何计算长方体的表面积；②涉及核心数学概念包括面积、立体几何、线性函数和自然数；③构造要点：使用Intersect, Point, Segment, Circle, OrthogonalLine, Polygon, Prism, Textfield, Distance, Net等GeoGebra命令和对象；④适合初中及以上学生学习和理解立体几何与表面积计算。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, abs(a)]) → B
  3. Segment(A, B) → b
  4. Circle(B, c) → d
  5. OrthogonalLine(B, y = 0) → e
  6. Intersect(d, e, 2) → C
  7. OrthogonalLine(C, e) → f
  8. Intersect(f, yAxis) → D
  9. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  10. Prism(poly1, g) → h, E, edgeAE, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH
  11. Textfield() → inputBox1
  12. Distance(A, B) → distanceAB
  13. Distance(B, C) → distanceBC
  14. Distance(C, G) → distanceCG
  15. Net(h, i) → k, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, Q