解题方法
1 . 如图,在棱长为2的正方体
中,G是棱AB上的一点,则点
到平面
的距离d=___ .若E,F分别是
的中点,当
∥平面DEF时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c630114e2e083545893f1809bc68afc1.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81ee1a0f7aca14244931128720295f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa61e892e049b1860e9374bb4c56111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fec5bd77cfc1313bc200480cc66c766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c630114e2e083545893f1809bc68afc1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/f7b69a13-3cfb-450e-8b56-7fa72979d05b.png?resizew=164)
您最近一年使用:0次
名校
2 . 已知直三棱柱
中,
,
,E、F分别是
、
的中点,D为棱
上的点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/1f414d6a-01a1-41d1-9235-82cd6a9d39de.png?resizew=149)
(1)证明:
;
(2)当
时,求直线BF与平面DEF所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04cf4d017cb4e8ce4e8c5c44c07ab68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/1f414d6a-01a1-41d1-9235-82cd6a9d39de.png?resizew=149)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7a3dc3f3a02f4400e22dec2f2fee23.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb977c3da57aa8527b8714f7c68b34b.png)
您最近一年使用:0次
2022-01-25更新
|
375次组卷
|
2卷引用:重庆市西南大学附属中学2021-2022学年高二上学期期末数学试题
名校
解题方法
3 . 直三棱柱
的底面
上,
,点
、
分别在棱
、
上,且
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/0518b9c4-d31b-4573-80ca-f59a7cc0292c.png?resizew=161)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8ebe2ebedb5d6e590edc88f860dcb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bc2e76089594e4697c4b9fd083f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e240a6378adf6d23ebf9cc710c9bd6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/0518b9c4-d31b-4573-80ca-f59a7cc0292c.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50eda31bbc3d40f0b305d4ac673fc21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f5b7343a7aeb266bddc8fe765f35dd.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f73038249a611568193c0bcc286fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1956db288a5a3b8c97d2539e9e5e4f85.png)
您最近一年使用:0次
2020-02-09更新
|
229次组卷
|
3卷引用:重庆市北碚区西南大学附属中学校2019-2020学年高二上学期期末数学试题