中职数学立体几何复习要点

1. 多面体、旋转体的相关概念及公式

2. 斜棱柱：_______________________________________________________________.

直棱柱：_______________________________________________________________.

正棱柱：_______________________________________________________________.

平行六面体：__________________________________________________________.

直平行六面体：_________________________________________________________.

长方体：_______________________________________________________________.

正方体：_______________________________________________________________.

正棱锥：_______________________________________________________________.

正棱锥的斜高：________________________________________________________.

正棱台：_______________________________________________________________.

正棱台的斜高：________________________________________________________.

斜棱柱：_______________________________________________________________.

3. 平面的基本性质一：___________________________________________________.

平面的基本性质二：______________________________________________________.

平面的基本性质三：______________________________________________________.

4. 平面基本性质的推论

推论1：_______________________________________________________________.

推论2：_______________________________________________________________.

推论3：_______________________________________________________________.

5. 空间中两条直线的位置关系

6. 平行公理（平行的传递性）：__________________________________________.

7. 异面直线定理：_____________________________________________________.

异面直线所成的角：_____________________________________________________.

异面直线所成的角的范围：______________________________________________.

8. 空间中直线与平面的位置关系

9. 直线与平面平行的判定定理：___________________________________________

________________________________________________________________________.

10. 直线与平面平行的性质定理：___________________________________________

________________________________________________________________________.

11. 直线与平面垂直的判定定理：___________________________________________

________________________________________________________________________.

12. 直线与平面垂直的判定定理的推论：_____________________________________

________________________________________________________________________.

13. 直线与平面垂直的性质定理：___________________________________________

________________________________________________________________________.

14. 平行于平面的直线到平面的距离：_______________________________________

________________________________________________________________________.

15. 平面的斜线与平面所成的角的概念：______________________________________

________________________________________________________________________.

16. 平面的斜线与平面所成的角的范围：______________________________________

17. 平面与平面的位置关系

18. 平面与平面平行的判定定理：___________________________________________

________________________________________________________________________.

19. 平面与平面平行的判定定理的推论：_____________________________________

________________________________________________________________________.

20. 平面与平面平行的性质定理：___________________________________________

________________________________________________________________________.

21. 两个平行平面间的距离：______________________________________________.

22. 二面角的平面角的概念：______________________________________________.

23. 二面角的大小范围：_________________________________________________.

24. 平面与平面垂直的判定定理：___________________________________________

________________________________________________________________________.

25. 平面与平面垂直的性质定理：___________________________________________

________________________________________________________________________.

26. __________________________________

27. 若点，点，则_______________________；________________；是线段的中点，则的坐标是________________

28. 假定，且向量与三个坐标轴都不平行时，有

________________________，____________________________,

______________________________________________________,