名校
解题方法
1 . 如图,四棱锥
的底面
是矩形,
平面
为
的中点,
为PA上一点,且
.
平面BDQ;
(2)若二面角
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/19210d688c39eb13fdf214dc517b1556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571c3a99cf0b5225444cc5d2d586874d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2386b1cb84295ef95039af00cc76772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c20e88a33043f4279fff360c81006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4ccef06bd7c89746239123517347c3.png)
您最近一年使用:0次
2024-06-11更新
|
163次组卷
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2卷引用:河南省漯河市高级中学2024届高三下学期三模数学试题
名校
2 . 如图所示,在正六棱锥
中,O为底面中心,
,
.
(2)若该正六棱锥的顶点都在球M的表面上,求球M的表面积和体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7858d6cc36eeb5a39dc631f7e5ac1394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f1750bc092092927d2d73b0b79fde0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9466d03bc916a9169eaf39863d59fceb.png)
(2)若该正六棱锥的顶点都在球M的表面上,求球M的表面积和体积.
您最近一年使用:0次
2023-04-12更新
|
2035次组卷
|
12卷引用:河南省漯河市第三高级中学2022-2023学年高一下学期期中数学试题
河南省漯河市第三高级中学2022-2023学年高一下学期期中数学试题陕西省天一大联考2022-2023学年高一下学期4月期中数学试题河南省商丘市部分学校2022-2023学年高一下学期期中考试数学试题(已下线)立体几何专题:简单几何体的外接球6种考法河南省信阳市百师联盟2022-2023学年高一下学期期中考试数学试题(已下线)13.3 空间图形的表面积和体积(1)河南省信阳市商城县观庙高级中学2022-2023学年高一下学期期中考试数学试题云南省昆明师范专科学校附属中学2022-2023学年高一下学期6月质量监测数学试题河南省新乡市新乡县新中实验学校2022-2023学年高一下学期5月月考数学试题河南省濮阳市华龙区第一高级中学2022-2023学年高一下学期6月月考数学试题广西来宾市忻城县高级中学2023-2024学年高一下学期期中考试数学试卷福建省泉州市安溪第八中学2023-2024学年高一下学期5月份质量检测数学试题
3 . 如图,四棱锥
中,
,四边形PACQ为直角梯形,
,
,且
,
.
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968165639356416/2973714898862080/STEM/edcd008b-3da3-473f-a1b9-cb53b927a950.png?resizew=167)
(1)求证:直线
平面PAB;
(2)若直线CA与平面PAB所成线面角为
,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74f1828d17c2059a2966fe960757541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af620f6d204d310d8e3f267fdd6c3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b0a8ce98e195c4fa22af9b71defc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af1c1856ba1c7cc969de81d77aabd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26a42b05e06fe34d66538930787bb3e.png)
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968165639356416/2973714898862080/STEM/edcd008b-3da3-473f-a1b9-cb53b927a950.png?resizew=167)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
(2)若直线CA与平面PAB所成线面角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4a3349d81e399a0d565613429cb795.png)
您最近一年使用:0次
2022-05-06更新
|
990次组卷
|
2卷引用:河南省漯河市高级中学2021-2022学年高二下学期期中考试数学(文)试题
解题方法
4 . 如图所示长方体
中,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648156715556864/2652326261374976/STEM/f530899c-7f10-48a5-ae4c-620ef6fd8b51.png?resizew=249)
(1)证明:
平面
;
(2)若
是
的中点,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dfda77ecf61013170a6f43b4d9d116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0c30bd772607531cedc5c3ced0cddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648156715556864/2652326261374976/STEM/f530899c-7f10-48a5-ae4c-620ef6fd8b51.png?resizew=249)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4557a368725226f2c8ea2efb7d30e478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ca90486f5edcf87de3cd818fc9189a.png)
您最近一年使用:0次
5 . 如图,在四棱锥
中,底面
为平行四边形,
,
,
底面
,
为
上一点,且
.
![](https://img.xkw.com/dksih/QBM/2017/12/20/1842618598187008/1843754966663168/STEM/3081d3d813c944799a6e26e030bd1420.png?resizew=93)
(1)在
上是否存在点
,使得
平面
?若存在,求出点
的位置;若不存在,请说明理由.
(2)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/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33693cec840a94ab7d4531c160ac8aff.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b384315ba84cafb978ef3619c8162b5.png)
![](https://img.xkw.com/dksih/QBM/2017/12/20/1842618598187008/1843754966663168/STEM/3081d3d813c944799a6e26e030bd1420.png?resizew=93)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa3254460ecbacecb3e57c5dce227f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186ac4570ee586019a8e292ab07d23ab.png)
您最近一年使用:0次
2017-12-22更新
|
481次组卷
|
2卷引用:河南省漯河市高级中学2018届高三上学期第四次模拟考试(12月)数学(文)试题
6 . 如图,在三棱锥V-ABC中,平面VAB
平面ABC,
为等边三角形,
,且AC=BC=
,O,M分别为AB,VA的中点.
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141053112320/1573141058715648/STEM/17a95fd684d543218f0fec5d33d9fc1f.png?resizew=174)
(1)求证:VB//平面MOC;
(2)求三棱锥V-ABC的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f63075fdeeb9e765dd696c4ff43ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141053112320/1573141058715648/STEM/17a95fd684d543218f0fec5d33d9fc1f.png?resizew=174)
(1)求证:VB//平面MOC;
(2)求三棱锥V-ABC的体积.
您最近一年使用:0次
2016-12-05更新
|
792次组卷
|
8卷引用:河南省漯河市高级中学2021-2022学年高二上学期期中数学试题