如图,在三棱柱
中,侧棱垂直于底面,
,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/2018/12/17/2098764830736384/2098937960964096/STEM/cbf80c29dc5c4c1f90bbdd9c2f72c823.png?resizew=127)
(1)证明:
;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://img.xkw.com/dksih/QBM/2018/12/17/2098764830736384/2098937960964096/STEM/cbf80c29dc5c4c1f90bbdd9c2f72c823.png?resizew=127)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c31b0f47cf94018c82ae71396e1af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52753d89bf58589e2e83b19bd3d140b8.png)
更新时间:2018-12-17 21:23:07
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,已知三棱柱
的侧棱与底面垂直,
,
,
是
的中点,
是
的中点,
是
中点,点
在
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/63c69e94-664a-427b-aa8d-66aa574b5ebd.png?resizew=193)
(1)求证:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bdbf17f7bb0e70a339b4a1971d5c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/63c69e94-664a-427b-aa8d-66aa574b5ebd.png?resizew=193)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afbdf49ccb1a8c34aba401f39fa095e.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417430a7e45a01fcadbd85e20598e0d4.png)
您最近一年使用:0次
【推荐2】如图,AB是⊙O的直径,点P是⊙O圆周上异于A、B的一点,
平面PAB,
,
.
![](https://img.xkw.com/dksih/QBM/2022/3/8/2931920521314304/2933904042500096/STEM/3add5fae-d5be-4597-8f84-d3d291e7a96c.png?resizew=144)
(1)求证:平面
平面PAD;
(2)若
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58bafdd3bb54ba3491b49ab60b172f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e70dccdfccce3bb76a145b6d9d5be9.png)
![](https://img.xkw.com/dksih/QBM/2022/3/8/2931920521314304/2933904042500096/STEM/3add5fae-d5be-4597-8f84-d3d291e7a96c.png?resizew=144)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4e66a2c8440276c9608a8abe834083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10c16d2d9d22c4b34ddd965e26aa0d7.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐3】如图,四棱锥
-
中,
为正方形,
为
中点,平面
⊥平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/cb684d2b-842f-476f-84e9-5d469c790436.png?resizew=202)
(1)证明:
//平面
;
(2)证明:
;
(3)求三棱锥
-
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/48f3c9abbd78e9a6840ee5f30381daac.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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70e550fa3c5aaf1b9c28f36fd5ed5d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/cb684d2b-842f-476f-84e9-5d469c790436.png?resizew=202)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c583493109d50c9e4634c05e9042a9f.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】如图,已知圆柱
的轴截面
是边长为2的正方形,点
是圆
上异于点
,
的任意一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/21/1a85fbc4-9a95-48d8-9eaa-45b7919f08dd.jpg?resizew=131)
(1)若点
到平面
的距离为
,证明:
.
(2)求
与平面
所成角的正弦值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/21/1a85fbc4-9a95-48d8-9eaa-45b7919f08dd.jpg?resizew=131)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df5935c893580c77ab6fa6eb0a70bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a7c437e31f6549f34ac5158d505fca.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df5935c893580c77ab6fa6eb0a70bdb.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】如图1,在平面五边形
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
是等边三角形.现将
沿
折起,记折后的点
为
,连接
得到四棱锥
,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/48a4e1ab-2ed4-4fb8-8a69-e2c947830f16.jpg?resizew=293)
(1)证明:
;
(2)若平面
平面
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f4f5e22496538a5f4b1028065bdd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b1a5427d8ff23df0f3ec194756c84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92a66d30863976e2036fc4cbf93c906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c49e04a1cbd79bfe0f8fdb4fd390fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/48a4e1ab-2ed4-4fb8-8a69-e2c947830f16.jpg?resizew=293)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8eceea730492c7927bb34c5d413a7a9.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615ed3b93483bb2f6d86acce159735c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94aad4c2109f60fcbf5488a545b16c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc1d81dce6c56f5d40496169d855006.png)
您最近一年使用:0次