名校
解题方法
1 . 如图,线段AB为圆O的直径,点E,F在圆O上,
,矩形ABCD所在平面和圆O所在平面垂直,且AB=2,EF=AD=1,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/f3949fc4-21f1-458a-84ed-648dda8869e1.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d3f7d55fcbaebc4e2450ac63a3dc5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/f3949fc4-21f1-458a-84ed-648dda8869e1.png?resizew=195)
A.OF // 平面BCE | B.BF⊥平面ADF |
C.三棱锥C-BEF外接球的体积为![]() | D.三棱锥C-BEF外接球的表面积为5π |
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2 . 在四棱锥
中,底面
是边长为2的正方形,
底面
,
,
,
交于点
,
是棱
上的动点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/bfd805c8-e197-4fc2-9b5d-172d2bc20a56.jpg?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a93767331e9bac06a564973a9f4fc663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/bfd805c8-e197-4fc2-9b5d-172d2bc20a56.jpg?resizew=175)
A.存在点![]() ![]() ![]() |
B.三棱锥![]() ![]() |
C.点![]() ![]() ![]() ![]() |
D.存在点![]() ![]() ![]() ![]() |
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3 . 在正方体
中,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.![]() |
B.![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
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解题方法
4 . 《九章算术·商功》:“斜解立方,得两堑堵.斜解堑堵,其一为阳马,一为鳌臑.”其中,阳马是底面为矩形,且有一条侧棱与底面垂直的四棱锥.如图,在阳马
中底面是边长为1的正方形,
,侧棱
垂直于底面
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/a78dbc40-4ac4-4b23-85f2-b9b33ba5d75b.png?resizew=140)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd79846eefcf49caed9eea0f31c61073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/27/a78dbc40-4ac4-4b23-85f2-b9b33ba5d75b.png?resizew=140)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() |
D.直线![]() ![]() |
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解题方法
5 . 如图,已知正方体
的棱长为2,
,
,
分别为
,
,
的中点,以下说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/03b7083b-c46c-4421-b9d5-d9d3e5fff193.png?resizew=185)
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/03b7083b-c46c-4421-b9d5-d9d3e5fff193.png?resizew=185)
A.![]() ![]() |
B.三棱锥![]() ![]() |
C.异面直线![]() ![]() ![]() |
D.过点![]() ![]() |
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解题方法
6 . 已知正四棱锥
的所有棱长都相等,
分别是侧面
,侧面
和底面
的中心,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd36104c7358ec5d86aa50b4b035642a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
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7 . 已知正方体
棱长为2,P为空间中一点,下列论述正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/217e681a-22fa-4d9e-b8fc-e6f214f21209.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/217e681a-22fa-4d9e-b8fc-e6f214f21209.png?resizew=163)
A.若![]() ![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2022-12-16更新
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8 . 已知空间四边形OABC的各边及对角线AC,OB的长度均相等,E,F分别为OA,BC的中点,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 如图,在边长为2的正方形
中,点
分别是
的中点,将
分别沿
折起,使
三点重合于点
,下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/3f3908a8-41b0-4416-8689-384953078383.png?resizew=280)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374fe9986ebbc986fc422e514ab93a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d425d2d1745d40342453ef4d1ac14fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c094758c3e91f97a54bcc67441382864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/3f3908a8-41b0-4416-8689-384953078383.png?resizew=280)
A.![]() |
B.三棱锥![]() ![]() |
C.点![]() ![]() ![]() |
D.设![]() ![]() ![]() ![]() |
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|
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名校
解题方法
10 . 如图,四棱柱
的底面ABCD是正方形,O为底面中心,
平面ABCD,
.以O为坐标原点,建立如图所示的空间直角坐标系,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/d1263f0e-492a-4648-b165-b336c4e79788.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92105835f8075cb75dff244e908370b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/d1263f0e-492a-4648-b165-b336c4e79788.png?resizew=191)
A.![]() |
B.![]() ![]() |
C.平面![]() ![]() |
D.点B到直线![]() ![]() |
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2022-12-08更新
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