如图所示,在正方体
中,
分别是
和
的中点,求证:四边形
为平面图形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f7551e2e74d3fbd9bc8b7dd80d35b8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/15/347c4267-f099-4f48-b1ba-d1d33e72d39d.png?resizew=146)
21-22高二·全国·课后作业 查看更多[6]
沪教版(2020) 必修第三册 精准辅导 第10章 10.1(2)空间的点、直线与平面(第2课时)(已下线)第08练 点线面的位置关系-2022年【暑假分层作业】高一数学(苏教版2019必修第二册)上海市七宝中学2021-2022学年高一下学期5月月考数学试题(已下线)8.4 空间点、直线、平面之间的位置关系(学案)-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)核心考点06空间点、直线、平面的位置关系-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)(已下线)第七章 立体几何与空间向量 第二节?空间点、直线、平面之间的位置关系(核心考点集训)
更新时间:2023-02-13 11:23:54
|
【知识点】 空间中的点(线)共面问题
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解答题-证明题
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较易
(0.85)
【推荐1】已知点A,B,C都在平面
上,求证:
三边所在的直线都在平面
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解答题-证明题
|
较易
(0.85)
【推荐2】如图,
为空间四边形,点
,
分别是
,
的中点,点
,
分别在
,
上,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/d602717e-762e-4cd8-b26a-427ef6b9fb4f.png?resizew=286)
(1)求证:
,
,
,
四点共面;
(2)求证:
,
必相交且交点在直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9137125c2c2f7f262f7c8a9216451458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8408ec89df82ad77e1d12a2afae9a29a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/16/d602717e-762e-4cd8-b26a-427ef6b9fb4f.png?resizew=286)
(1)求证:
![](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/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)求证:
![](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/d40b319212a7e7528b053e1c7097e966.png)
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