名校
解题方法
1 . 在三棱锥
中,
平面
,且
,当三棱锥
的体积取最大值时,该三棱锥外接球的体积是( )
![](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/4618c92c7ab2931087d7a0b9d6d8a3e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89177ead7d7d80379b044cc004e9c34a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-09-13更新
|
1266次组卷
|
13卷引用:四川省广元市宝轮中学2023届高三仿真考试(二)数学(文)试题
四川省广元市宝轮中学2023届高三仿真考试(二)数学(文)试题河南省驻马店市2023届高三二模理科数学试题四川省南江中学2023届高三下学期五月适应性考试(一)文科数学试题四川省宜宾市叙州区第一中学校2023届高考适应性考试数学(理)试题四川省宜宾市叙州区第一中学校2023届高考适应性考试数学(文)试题贵州省2023届高三多校联考数学(文)试题河南省创新发展联盟2023届高三仿真模拟预测理科数学试题河南省驻马店市2023届高三第二次联考文科数学试题河南省创新发展联盟2023届高三高考仿真模拟预测文科数学试题2023年山西省运城市景胜中学业水平考试数学试题专题07A立体几何选择填空题福建省漳州市诏安县桥东中学(霞葛教学点)2024届高三上学期第二次月考数学试题湖南省岳阳市平江县颐华高级中学2023-2024学年高二下学期入学考试数学试题
名校
解题方法
2 . 如图,
为圆柱下底面圆
的直径,
是下底面圆周上一点,已知
,
,圆柱的高为5.若点
在圆柱表面上运动,且满足
,则点
的轨迹所围成图形的面积为 __ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4e6ceb75b04e5ea972bb9f1a0c7560.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d72a007e3c4a134956b0e3fbde5f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
名校
3 . 如图,在四棱锥
中,底面ABCD为正方形,
平面ABCD,M,N分别为棱PD,BC的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/15/3a438676-f6ad-42ec-a05b-416826f1dff2.png?resizew=141)
(1)求证:
平面PAB;
(2)求直线MN与平面PBD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83a04565a8ebaa111894b724b0ba266.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/15/3a438676-f6ad-42ec-a05b-416826f1dff2.png?resizew=141)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
(2)求直线MN与平面PBD所成角的正弦值.
您最近一年使用:0次
2023-05-14更新
|
748次组卷
|
4卷引用:四川省广元中学2022-2023学年高二下学期期中数学试题(文科)
名校
解题方法
4 . 正方体
的棱长为
,
、
、
分别为
、
、
的中点.则其中正确的个数是( )
①直线
与直线
不垂直;②直线
与平面
平行;
③平面
截正方体所得的截面面积为
;④点
与点
到平面
的距离相等.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/2f18cbfe-5645-4b93-b117-45e5642eb001.png?resizew=158)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04777f3f4661fa1c08a1cc0dfb807c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4700efcb84c4027ce7a50af0d5212fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/1/2f18cbfe-5645-4b93-b117-45e5642eb001.png?resizew=158)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 在三棱锥P-ABC中,
,
,且
,
,
,
,则此三棱锥外接球的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5383343e28ed187cc5e2b417e49bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60f7441172407b19e9e61b85a0170d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1f2ff0805c573e3c1fc1720d4e531e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-13更新
|
1575次组卷
|
7卷引用:四川省广元中学2022-2023学年高二下学期期中数学试题(文科)
四川省广元中学2022-2023学年高二下学期期中数学试题(文科)广西柳州高级中学、南宁市第三中学2023届高三联考数学(文)试题广西柳州高级中学、南宁市第三中学2023届高三联考数学(理)试题第13章《立体几何初步》单元达标高分突破必刷卷(基础版)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(苏教版2019必修第二册)第13章 立体几何初步(B卷·能力提升)-【单元测试】2022-2023学年高一数学分层训练AB卷(苏教版2019必修第二册)广东省东莞市第七高级中学2022-2023学年高一下学期5月月考数学试题福建省龙岩市连城县第一中学2023-2024学年高一下学期5月月考数学试题
名校
解题方法
6 . 若正三棱锥
的高为2,
,其各顶点都在同一球面上,则该球的半径为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04be58ea6ca37a850422631eb3e994d9.png)
A.![]() | B.![]() | C.![]() | D.3 |
您最近一年使用:0次
2023-03-22更新
|
1395次组卷
|
4卷引用:四川省广元市宝轮中学2022-2023学年高二下学期第一次段考数学试题
7 . 三棱锥P-ABC中,PA⊥平面ABC,
,△APC的面积为
,则三棱锥P-ABC的外接球体积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42ed2e5bd5a0f033e24008697bf4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-19更新
|
546次组卷
|
3卷引用:四川省广元市2022-2023学年高二上学期期末数学(理科)试题
名校
解题方法
8 . 如图,在三棱锥
中,平面
平面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772274677424128/2774663640260608/STEM/3f734ec70364442380cc69b65e4b385b.png?resizew=244)
(1)求证
;
(2)求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0423c674207216397dde032c17816696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66cef506a91c5e28723f6f19895c27b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772274677424128/2774663640260608/STEM/3f734ec70364442380cc69b65e4b385b.png?resizew=244)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ea309886e947ea7cb4b81716206fd.png)
(2)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6d7e887348f80fda1e157e0222573d.png)
您最近一年使用:0次
2021-07-29更新
|
235次组卷
|
2卷引用:四川省广元市2020-2021学年高二下学期期末数学(文科)试题
解题方法
9 . 如图,在矩形
中,
,
为边
的中点,以
为折痕把
折起,使点
到达点
的位置,且使平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/509b4245-a300-487e-a522-157cc0cc24d3.png?resizew=249)
(1)证明:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c3c8bf858c13b295de56e548116db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c505f9d4513028bb16e274aae96cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/509b4245-a300-487e-a522-157cc0cc24d3.png?resizew=249)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaef9e92d148afff22761d5e027d3ee.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec13727470aa1196755308d6232abfc.png)
您最近一年使用:0次
2020-06-14更新
|
431次组卷
|
2卷引用:四川省广元市高2020届第三次高考适应性统考数学(文科)试题
10 . 如图,二面角
满足半平面
,半平面
内有一点
(不在
上),半平面
内有一点
(不在
上),
在直线
的射影分别为
(
不重合),
,
,则三棱锥
外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def26b3c1c08356f8fa49c85fe19476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://img.xkw.com/dksih/QBM/2020/6/12/2482829240188928/2484373785477120/STEM/fdb69f5e9e8d422993d8dec0ba8ee47e.png?resizew=246)
您最近一年使用:0次