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如果我们把立体几何中的问题归纳为十种类型:1.证明点共线,点共面,线共点,线共面,面共点,面共线;2.证明平行(线与线,线与面,面与面);3.证明垂直;4.求角(线与线,线与面,面与面所成的角);5.求距离(点与点,点与线,点与面,线与线,线与面,面与面之间的距离);6.图形折叠;7.展开图;8.面积;9.体积;10.截面.那么,这些问题几乎都可以在正方体中得以表现出来.在立体几何的平时教学,单元复习,毕业总复习及综合训练中都可以根据不同的教学目的、要求,组织、编选相应的有关正方体的问题进行讲解和练习.
If we sum up the problems in three-dimensional geometry into ten types: 1. Prove that the points are collinear, points are coplanar, lines are common, lines are coplanar, faces are common, and surfaces are collinear; 2. Proof is parallel (lines and lines, Line and surface, surface and surface); 3. Verification of vertical; 4. Evaluated angle (line and line, line and surface, surface and surface angle); 5. Find distance (point and point, point and line, point (Face and Line, Line and Line, Line and Plane, Distance between Surface and Surface); 6. Graphical Collapse; 7. Expanded Diagram; 8. Area; 9. Volume; 10. Cross Section. So, almost all of these problems can be The cube can be expressed. In the three-dimensional geometry of the usual teaching, unit review, graduation review and comprehensive training can be based on different teaching objectives, requirements, organization, editing and selection of the relevant questions related to the cube to explain and practice.