如图,在四棱锥
中,平面
⊥平面
,
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470766108672/1572470771671040/STEM/71a5a078acdd4ddd89f5bd56b0d9a540.png)
求证:(1)直线
∥平面
;
(2)直线
⊥平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754ca3dea7da1b3ffd8ad899d8f6acc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f492dc0d98248c34366d1705c965fe6.png)
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470766108672/1572470771671040/STEM/71a5a078acdd4ddd89f5bd56b0d9a540.png)
求证:(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)直线
![](https://img.xkw.com/dksih/QBM/2016/1/27/1572470766108672/1572470771671040/STEM/118a8d3ed72d44d98aaf9cb8deaaf226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
更新时间:2016-12-04 01:42:53
|
【知识点】 点、直线、平面之间的位置关系
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
【推荐1】如图,在四棱锥
的底面梯形中,
,
,又已知
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/cd6543a7-a2b9-47fb-9070-585601a780c7.png?resizew=204)
(1)异面直线PB与CD所成角的大小;
(2)四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08009805bf029eec0121cc3f6ec2a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da5fbf1298eca6853f9febfd4a07440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2567f25f07db4cb97e6915b8528fe3f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/4/cd6543a7-a2b9-47fb-9070-585601a780c7.png?resizew=204)
(1)异面直线PB与CD所成角的大小;
(2)四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】如图,在平面四边形
中,
为
的中点,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6fe222e55ae32b89537bc1b455ddc4.png)
,且
.将此平面四边形
沿
折成直二面角
,连接
.证明:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b027ed57b9c6f24e27ec0ae282c76efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6fe222e55ae32b89537bc1b455ddc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4654c3481f78f939c3267b42d57262d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b027ed57b9c6f24e27ec0ae282c76efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35471e5a1da79efc952ff6aa905616f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f8cd87144a823ca72d3917ffe55006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐3】如图,三棱锥
中,底面
为直角三角形,
,
为
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/2021/3/25/2685611862204416/2687049493987328/STEM/d6584f285b6141dfbce4e87115232da8.png?resizew=320)
(1)求证:
平面
;
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a351136b18bc7d3bd5122332772ab23b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4edeb0136a286cd638b7e4e3bbe8726e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60334b062acf697efaa4f3f7087a80dc.png)
![](https://img.xkw.com/dksih/QBM/2021/3/25/2685611862204416/2687049493987328/STEM/d6584f285b6141dfbce4e87115232da8.png?resizew=320)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次