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1 . 如图所示,是
的直观图,则
的面积_________ (请用数字填写)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/13/8338da7d-9277-4cdf-949e-5866d38296e4.png?resizew=178)
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2021-08-09更新
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228次组卷
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2卷引用:上海市高桥中学2021-2022学年高二上学期12月月考数学试题
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2 . 如图为某一几何体的展开图,其中
是边长为
的正方形,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21f3055411b6927d08f328da969b017.png)
,点
及
共线.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/d1687fa9-e9d9-4985-84e6-39585e4167dd.png?resizew=165)
(1)沿图中虚线将它们折叠起来,使
四点重合,请画出其直观图,试问需要几个这样的几何体才能拼成一个棱长为
的正方体
?
(2)设正方体
的棱
的中点为
,求平面
与平面
所成二面角(锐角)的余弦值.
(3)在正方体
的
边上是否存在一点
,使得
点到平面
的距离为
,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21f3055411b6927d08f328da969b017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0437348e1bf7c037e7e4904609b9ba2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec835ef17014181e96cfb481dc72ecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e2cbbf7a93719b3196a7d931ef638f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/d1687fa9-e9d9-4985-84e6-39585e4167dd.png?resizew=165)
(1)沿图中虚线将它们折叠起来,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4457a029cd930f0052f1c80cfe06d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(2)设正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bcb3226e013650b7d8827c31dd41d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(3)在正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5105eb24aa12b2163d9c7f50ec1ef2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
您最近一年使用:0次
2019-12-11更新
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451次组卷
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4卷引用:专题4.4 空间直线与平面【压轴题型专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)
(已下线)专题4.4 空间直线与平面【压轴题型专项训练】-2020-2021学年高二数学下学期期末专项复习(沪教版)上海市上海师大附中2017-2018学年高二下学期期末数学试题上海市向明中学2023-2024学年高二上学期10月月考数学试题上海市闵行区六校2023-2024学年高二上学期期中联考数学试题
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3 . 如图,网格纸上小正方形的边长为1,粗线画出的是某几何体的三视图,则该几何体的外接球表面积为
![](https://img.xkw.com/dksih/QBM/2017/8/14/1752065879318528/1752720787021824/STEM/6f92bc9516ee4bb0963a5f3390767714.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1752065879318528/1752720787021824/STEM/6f92bc9516ee4bb0963a5f3390767714.png?resizew=132)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-08-15更新
|
465次组卷
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3卷引用:上海市交通大学附属中学2022届高三上学期10月月考数学试题