如图所示,四棱锥
的底面
是平行四边形,
分别是
的中点.求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e203b7c9a6600e0272c58a23733490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5544f59c5107eae4cafe105d4c4604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
22-23高一下·辽宁锦州·阶段练习 查看更多[3]
辽宁省锦州市某校2022-2023学年高一下学期第二次阶段性考试数学试题(已下线)8.5.2 直线与平面平行-同步精品课堂(人教A版2019必修第二册)(已下线)11.3.1&11.3.2 平行直线与异面直线、直线与平面平行-【帮课堂】(人教B版2019必修第四册)
更新时间:2023-08-14 16:12:26
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【知识点】 证明线面平行
相似题推荐
解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】如图,在四棱锥
中,四边形
是正方形,
平面
,点
为线段
的中点.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521507279044608/2522514804473856/STEM/9863154b06974b87a03a9a4f1fb1c82b.png?resizew=153)
(Ⅰ)求证:
平面
;
(Ⅱ)若
,
与平面
所成角为
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521507279044608/2522514804473856/STEM/9863154b06974b87a03a9a4f1fb1c82b.png?resizew=153)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b70cef0b79ca64acbb67dc667fc53b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2cb6f19080f8be382b484274b2476c.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐2】四棱锥
中,
,
,
底面
,
,直线
与底面
所成的角为
,
、
分别是
、
的中点.
![](https://img.xkw.com/dksih/QBM/2020/3/2/2410902017802240/2411046318129152/STEM/b54e7bd7367d4584ab9256cc2c7d79d4.png?resizew=216)
(1)求证:直线
平面
;
(2)若
,求证:直线
平面
;
(3)求棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98c8e36238ad90378e724466fcb6023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8817a5a7ea0e96f7c3229c5a06b70919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/2020/3/2/2410902017802240/2411046318129152/STEM/b54e7bd7367d4584ab9256cc2c7d79d4.png?resizew=216)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a6f4a3e108a282afae2c0ce9ca70e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835766bda2c74b980454f83f3be8e5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(3)求棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e749d4e67d0a2dcb44829c79dd58c22.png)
您最近一年使用:0次