解题方法
1 . 如图,在三棱柱
中,
,四边形
为菱形,
.
;
(2)已知平面
平面
,
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9332278351ab92e03e984e9279dd06a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43732729894297552d9210f41a634769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7870cee007535b979d35bc7feab75616.png)
(2)已知平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b65798afbc7efaed6d65d0719c3c391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34f6658a6fa46b1597f382a3455ad04.png)
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2024-05-26更新
|
413次组卷
|
2卷引用:2024届青海省西宁市大通县高考四模数学(文)试卷
解题方法
2 . 已知点
在圆心为
的圆M外,过P作圆M的两条切线PA,PB,切点分别为A,B,则过P与直线AB平行的直线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889a5e04c5187fb20415a59ce6adeed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
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3 . 如图,在正方体
中,
,
,
,
,
,
分别为棱
,
,
,
,
,
的中点,
为
的中点,连接
,
.对于空间任意两点
,
,若线段
上不存在也在线段
,
上的点,则称
,
两点“可视”,则与点
“可视”的点为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67716ac738ee2911a69bf4063110a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71432131d194730a67f3192d1f8679b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67716ac738ee2911a69bf4063110a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-22更新
|
739次组卷
|
6卷引用:青海省部分学校2023-2024学年高三下学期联考模拟预测理科数学试题
青海省部分学校2023-2024学年高三下学期联考模拟预测理科数学试题青海省部分学校2023-2024学年高三下学期联考模拟预测文科数学试题河北省沧州市沧衡学校联盟2023-2024学年高一下学期4月期中考试数学试题河北省沧州市沧衡学校联盟2023-2024学年高一下学期4月期中考试数学试题(已下线)压轴题04立体几何压轴题10题型汇总-2(已下线)模块三 失分陷阱1 新定义问题抓不到定义的本质
解题方法
4 . 已知球
是棱长为2的正方体
的内切球,
是棱
的中点,
是球
的球面上的任意一点,
,则动点
的轨迹长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e59a33129dbe8f3a2231e9507dd1a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 现有一个杯口和杯底的内径分别为
的圆台形的杯子,往杯中注入一部分水,测得水面离杯底的高为
,该高度恰好是杯子高度的一半,则杯中水的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ea69245868e4cb70cb39efafeed4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
392次组卷
|
2卷引用:青海省海南州部分学校2024届高三下学期一模仿真考试理科数学试题
6 . 如图,在三棱柱
中,
.
平面
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ee282fe2fb0954b12fbc1bea093b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da5a89f5938fe9ac2f86aab28e334dc.png)
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解题方法
7 . 已知
是表面积为
的球
的球面上的三个点,且
,则三棱锥
的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c176877b59cd7c34fcc0838b05493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db414c73b2d83d763c6418ac145b2802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
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2024-04-15更新
|
627次组卷
|
2卷引用:青海省西宁市大通县2024届高三第二次模拟考试数学(文)试题
8 . 如图所示,该图形由一个矩形和一个扇形组合而成,其中矩形和扇形分别是一个圆柱的轴截面和一个圆锥的侧面展开图,且矩形的长为2,宽为3,扇形的圆心角为
,半径等于矩形的宽,若圆柱高为3,则圆柱和圆锥的体积之比为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/91b19ba8-4a7f-4d2d-b691-61d5e1f37c61.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/91b19ba8-4a7f-4d2d-b691-61d5e1f37c61.png?resizew=151)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 我国古代数学著作《九章算术》中记载:斜解立方,得两堑堵.其意思是:一个长方体沿对角面一分为二,得到两个一模一样的堑堵.如图,在长方体
中,
,
,
,将长方体
沿平面
一分为二,得到堑堵
,下列结论正确的序号为______ .
①点C到平面
的距离等于
;
②
与平面
所成角的正弦值为
;
③堑堵
外接球的表面积为
;
④堑堵
没有内切球.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/203cf047-3c7e-43ff-9a8e-fb0157d5f7d4.png?resizew=233)
①点C到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81365a3726621b6557bd26f3a1a51cae.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588eb9393564a33552c4b2e8de837ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a24acb11fac4bcf6a86e3e9223a48b.png)
③堑堵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08a01aed02ce1eaf1aaefaa0342b7ad.png)
④堑堵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
您最近一年使用:0次
名校
10 . 在《九章算术》中,将四个面都为直角三角形的四面体称之为鳖臑(biē,nào).如图,网格纸上小正方形的边长为1,粗实线画出的是某鳖臑的三视图,则该鳖臑的最长棱长为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-04更新
|
571次组卷
|
5卷引用:2024年普通高等学校招生伯乐马模拟考试(二)数学(理)试卷