名校
1 . 若一个圆锥的轴截面是一个底边长是2,腰长为
的等腰三角形,则它的侧面展开图的圆心角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() | B.![]() | C.2 | D.4 |
您最近一年使用:0次
2023-07-14更新
|
433次组卷
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4卷引用:湖南省郴州市2022-2023学年高二下学期期末数学试题
2 . 如图,四边形
为矩形,
平面
,
,且
,记四面体
,
,
的体积分别为
,
,
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/29/b27b7a89-2569-4c70-8352-192ab8d2fed9.png?resizew=165)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/2d2aecd77d2cfa7d053793ec26530fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c658f1451fe0aec5c04f65994a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c482ee1668a59ca21f3ae8b6bad58eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3668b8463c08e4e0dc594cd82af40891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38691c0f8804eb03c192070b27fcfee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4764374bd2fb78e59cd0b283637baeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63055a5d6916f99d07fede49120753f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3411c87c90bd10bbadd9201630bf45f4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/29/b27b7a89-2569-4c70-8352-192ab8d2fed9.png?resizew=165)
A.直线![]() ![]() |
B.![]() |
C.![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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3 . 如图,在四棱锥
中,平面
平面
,
,
,
,
,
为棱
上一点,且
,
为棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/7749788f-bd5d-4f3a-890c-1b866ef30593.png?resizew=211)
(1)证明:平面
平面
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9132a5490b529ffd1ca0e665448ff62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f5c876ee80d62472db4dc9e329fd80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfb8347b22077e850fe698eabbb2f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/6/7749788f-bd5d-4f3a-890c-1b866ef30593.png?resizew=211)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd3d448c8474f0d0f8d3fd7766d9f4d.png)
您最近一年使用:0次
2022-07-05更新
|
1275次组卷
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8卷引用:湖南省彬州市安仁县第一中学2021-2022学年高一下学期期末统考数学模拟试题(一)
湖南省彬州市安仁县第一中学2021-2022学年高一下学期期末统考数学模拟试题(一)江苏省南京市中华中学2021-2022学年高一下学期期末数学试题河南省豫北名校联考2021-2022学年高二下学期5月阶段性测试(四)文科数学试卷(已下线)2022年全国高考乙卷数学(文)试题变式题9-12题(已下线)2022年全国高考乙卷数学(文)试题变式题17-20题(已下线)8.6.1 空间直线、平面的垂直(精讲)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)专题四 期末高分必刷解答题(32道)-《考点·题型·密卷》广东省肇庆市封开县广信中学2022-2023学年高一下学期第二次月考数学试题
解题方法
4 . 底面半径为2,母线长为4的圆锥的表面积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 我国古代数学名著《九章算术》中有云:“有木长三丈,围之八尺,葛生其下,缠木两周,上与木齐,问葛长几何?”意思为:圆木长3丈,圆周为8尺,葛藤从圆木的底部开始向上生长,绕圆木两周,刚好顶部与圆木平齐,问葛藤最少长几尺(注:1丈即10尺)?该问题的答案为34尺.若圆木长为3尺,圆周为2尺,同样绕圆木两周刚好顶部与圆木平齐,那葛藤最少又是长( )尺?
A.34尺 | B.5尺 | C.6尺 | D.4尺 |
您最近一年使用:0次
2020-02-19更新
|
227次组卷
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3卷引用:湖南省郴州市2019-2020学年高一上学期期末数学试题
6 . 如图,四棱锥
的底面
是矩形,
,
,平面
平面
.
为
的中点,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/10ef58b3-ac8a-4616-9c6f-8271385818af.png?resizew=176)
(1)求证:
平面
;
(2)求四棱锥
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/9efb07a15af3c16a89a1a89878a194ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cedd51383f8f047f565191b128cec637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/10ef58b3-ac8a-4616-9c6f-8271385818af.png?resizew=176)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849783de4773526043cb71dae34d21f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2019-04-23更新
|
880次组卷
|
2卷引用:【市级联考】湖南省郴州市2018-2019学年高一上学期期末考试数学试题
7 . 将边长为
的正方形
沿对角线
折起,则三棱锥
的外接球体积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3931333820859378ea6723ff3075189.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-01-04更新
|
359次组卷
|
2卷引用:【市级联考】湖南省郴州市2019届高三第一次质量检测数学(理)试题
8 . 如图,四棱锥中
中,
底面
.底面
为梯形,
,
,
,
,点
在棱
上,且
.
(Ⅰ)求证:平面
平面
;
(Ⅱ)求三棱锥
的体积.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a55ffa4de0612985d6913832b16f2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d669df6c391aa83150df5ae96c39d8.png)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b60870baa5e3fbc33a749aa5f0a94be.png)
(Ⅱ)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf81f142b84adcf278b51c62c88e6afc.png)
![](https://img.xkw.com/dksih/QBM/2018/2/12/1880588666929152/1882291494191104/STEM/db6fb8125bd846bd8aba1ac879ba5a35.png?resizew=119)
您最近一年使用:0次
2018-02-14更新
|
379次组卷
|
2卷引用:湖南省郴州市2017-2018学年高一上学期期末考试数学试题