中职数学立体几何复习要点

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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:___________________________________________ ________________________________________________________________________.

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