2011高三·山西·竞赛
1 . 如图,在单位正方体
中,
、
、
分别是棱
、
、
的中点.则点
到
所在平面的距离为______ .
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94ce22f30a8de2af135de3c89403aff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9756177ef0c7c685e0fc62077a1cd4e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/3992d890-7618-4ecf-90f6-a89ebcc4cb3f.png?resizew=142)
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2011高三·山西·竞赛
2 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca77726b5ab51fbcab8d0d2cda6ac826.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca77726b5ab51fbcab8d0d2cda6ac826.png)
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3 . 在矩形
中,已知
分别是
的中点,以
为旋转轴将
空间旋转
至
.则四面体
的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7b39f64b0ad5963098024fa2adba3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5666c09fdd41cf808379debef9d3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6215a6121aa98b865f095f9a10e4619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10dd1672822a208909bc5714e6153870.png)
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