名校
解题方法
1 . 如图,在三棱柱
中,
分别为
的中点,
为侧面
对角线的交点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/9dd17884-6c83-4fde-9494-1d8b963f73e4.png?resizew=182)
(1)求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
平面
;
(2)若
,侧面
为矩形,平面
平面
,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/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22242f6fbf434d9d4a2012f8a4087857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/9dd17884-6c83-4fde-9494-1d8b963f73e4.png?resizew=182)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacbe46cbc9c7f535098c6f4aecad0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e975f6c9fafab8fd7639dc0cd0f70a4.png)
您最近一年使用:0次
2 . 如图,在棱长为
的正方体
中,
是棱
的中点,
是侧面
内的动点(包括边界),且
,则
的最小值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b587529cbb19f9a9517303ab028a522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155e03cb1ff9d644581d36f0d00da4d7.png)
![](https://img.xkw.com/dksih/QBM/2019/7/8/2242572032024576/2242612619468800/STEM/c227418e-54e1-4088-bace-d8f433bcb255.png?resizew=255)
您最近一年使用:0次
2019-07-08更新
|
702次组卷
|
3卷引用:河南省安阳县实验中学2022-2023学年高二上学期收心考数学理科试题