如图,
平面
,
,
,
,
为棱
上一点,平面
与棱
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/534ff3b3-5c58-4072-a0b5-a5d4617ddbaa.png?resizew=154)
(Ⅰ)求证:
平面
;
(Ⅱ)求证:
;
(Ⅲ)当四边形
为矩形时,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41bf5ba46efcc6dbc8e527a94ed2343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465a9f22307115b16cc8fa39e537f921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe67036b4671b5d2a5c55b48c4d3bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/534ff3b3-5c58-4072-a0b5-a5d4617ddbaa.png?resizew=154)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dda81ff563e0e6657e2e77871260ce3.png)
(Ⅲ)当四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f2668c6ab5e6d0679218ea9c8e4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3bc15ceaa78d2b90b2ac14e3286788.png)
2019·北京顺义·二模 查看更多[2]
更新时间:2019-04-14 23:06:28
|
相似题推荐
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】如图,四棱锥
中,
底面
,
,M为线段
上一点,
,N为
的中点.
(1)证明:
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02bee16a3b36c7561463a5fe775bc13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeef1db30212433062b3297569a7aafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/7/ac286159-fa77-4c4e-9149-efe6a5c41f5a.png?resizew=193)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ce50ba5e349425274f05d46d120a74.png)
(3)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d954212889c8aae3cbb84de7cb362a.png)
您最近一年使用:0次
【推荐2】已知多面体
中,四边形
为平行四边形,
平面
,且
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfffc4b756bd8b93304efc27c3d7b41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/af1737ca-7f6b-4081-a323-9e95293dc671.png?resizew=250)
(1)求证:平面
平面
;
(2)若
,求多面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71807a35b3170fce28ee6edf4c00d083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99d4b4633899564ca0d4b0cab768ecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fab5c524416efd56dc0b122710a5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfffc4b756bd8b93304efc27c3d7b41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/af1737ca-7f6b-4081-a323-9e95293dc671.png?resizew=250)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62a0adbe458148298b3dfb61c4373b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.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1】如图,在四棱锥
中,底面
为直角梯形,
∥![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1cf657792edb2da8c7c896d7320c8d.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/4/78ef4059-62d8-42c0-bbcd-69119d3078ae.png?resizew=170)
(1)证明:平面
平面
;
(2)求平面
与平面
所成锐二面角的余弦值.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1cf657792edb2da8c7c896d7320c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1978a295d286af6fe42538cd3dbb88a9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/4/78ef4059-62d8-42c0-bbcd-69119d3078ae.png?resizew=170)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐2】如图,在三棱柱
中,底面
侧面
.
平面
;
(2)若
,求三棱锥
的体积;
(3)在(2)的条件下,求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b3e80d3a58ac3cf00b42f41747c311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26d8a9d64ad3c8cba28840b41ed7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e3c9e7c05de9838c0c5d762720d3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab8cba157598642cb6b42734861a184.png)
(3)在(2)的条件下,求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd06851d747f8ccf046bc807b2523e65.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,在四棱锥
中,四边形
是边长为
的正方形,平面
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/1ce3e5fd-3649-4707-9b46-16dc253001f9.png?resizew=215)
(1)求证:
平面
;
(2)若点
在线段
上,直线
与直线
所成的角为
,求平面
与平面
夹角的余弦值.
![](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/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b77a5c3865855fbb3d24f9522ced8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd5c4f8b106d01e0e431078e1a468b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3765f61ec3bd615cea67b22567582712.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/1ce3e5fd-3649-4707-9b46-16dc253001f9.png?resizew=215)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95475bfc06e884754eb4a455c3f434e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d41989d897ddb0fe7aa59f3beaabf9.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次