解题方法
1 . 如图,在长方体
中,
,
,点E为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/d174e08c-e63b-4b83-b2e6-575640f8dfb7.png?resizew=190)
(1)求证:AE⊥平面
;
(2)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0e44cb429eea46e7ee4320147192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/d174e08c-e63b-4b83-b2e6-575640f8dfb7.png?resizew=190)
(1)求证:AE⊥平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4755dc59cb5a03cd39879bc80fdbb9.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4755dc59cb5a03cd39879bc80fdbb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
您最近一年使用:0次
解题方法
2 . 如图,在长方体
中,
,
,则下列结论:
与直线
所成的角为
;
②直线
与平面
所成的角为
;
③平面
与平面
所成的二面角为
;
④平面
与平面
所成的二面角为直二面角.
其中正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a56baf43ffdf67bc8460856e31fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e45b0e1c3f6f5bc4cc81290bf263d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
④平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
其中正确结论的个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2022-07-09更新
|
942次组卷
|
4卷引用:北京市通州区2021-2022学年高一下学期期末质量检测数学试题
北京市通州区2021-2022学年高一下学期期末质量检测数学试题海南省琼中县2023届高三下学期统考数学试题(B)(已下线)专题强化训练四 直线与平面所成的角、二面角的平面角的常见解法(2)-《考点·题型·技巧》(已下线)专题06 空间中点线面的位置关系6种常考题型归类(2) -期期末真题分类汇编(北京专用)
3 . 棱长相等的三棱锥的任意两个面组成的二面角的余弦值是__ .
您最近一年使用:0次
4 . 如图,在四棱锥S-ABCD中,底面ABCD为直角梯形,AD//BC,∠SAD =∠DAB=
,SA=3,SB=5,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/a9bd6332-292e-43e4-9920-f28015e8697c.png?resizew=127)
(1)求证:AB
平面SAD;
(2)求平面SCD与平面SAB所成的锐二面角的余弦值;
(3)点E,F分别为线段BC,SB上的一点,若平面AEF//平面SCD,求三棱锥B-AEF的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0ca128df55905f481681b0ebe2152e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/a9bd6332-292e-43e4-9920-f28015e8697c.png?resizew=127)
(1)求证:AB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
(2)求平面SCD与平面SAB所成的锐二面角的余弦值;
(3)点E,F分别为线段BC,SB上的一点,若平面AEF//平面SCD,求三棱锥B-AEF的体积.
您最近一年使用:0次