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:___________________________________________ ________________________________________________________________________.