如图,已知矩形ABCD,
,
,
平面ABCD,且
,点E为线段DC(除端点外)上的一点,沿直线AE将
向上翻折成
,M为
的中点,则下列结论正确的有______ .(写出所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/c3d79f87-1750-41ea-91bd-7e207308f8e4.png?resizew=211)
①三棱锥
的体积为
;
②当点E固定在线段DC某位置时,则
在某圆上运动;
③当点E在线段DC上运动时,则
在某球面上运动;
④当点E在线段DC上运动时,三棱锥
的体积的最小值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae341f580ff8fbf21f616fe900b0e4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f9c64303370347131dd9d8c5c70c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b435d7fc33860ae191f9111d880b40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/c3d79f87-1750-41ea-91bd-7e207308f8e4.png?resizew=211)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26712d1a7a5864cd18498f16f7bd96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
②当点E固定在线段DC某位置时,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
③当点E在线段DC上运动时,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
④当点E在线段DC上运动时,三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab71ff19bd011f08cc4d379dde1b6eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5040d31e784398842b04ed7dd0aacc10.png)
更新时间:2022-02-19 22:18:41
|
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【推荐2】半径为2的球内有一内接圆柱,圆柱上、下底面圆周都在球面上,圆柱内有一正四棱锥,其顶点在圆柱上底面圆心,底面正方形4个顶点在下底面圆周上,则四棱锥体积的最大值为___________ .
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【推荐1】棱长为2的正方体
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/265fc0a4-6f53-4ac3-b04b-17973dd81175.png?resizew=176)
①
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②
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③三棱锥
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3defdd4d0c665d55184b84a7eb316f.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/265fc0a4-6f53-4ac3-b04b-17973dd81175.png?resizew=176)
①
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②
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6214381b57afa4c26e6074251279294f.png)
③三棱锥
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【推荐2】如图,矩形ABCD中,
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,N为
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①对于任意一个位置总有
平面
;
②存在某个位置,使得
;
③存在某个位置,使得
;
④四棱锥
的体积最大值为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132fc900a3e6678ee9854599ad6bfd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6db0957be44af27627313f75c86938c.png)
①对于任意一个位置总有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde9b576a6b6e6d56e92f75e9c01a4f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770b4f16694b2bd79a1a93d776a82680.png)
②存在某个位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e07de86e975df2ecd454d677661eaff.png)
③存在某个位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ce077d68b88882fde4c1028bf6b4f.png)
④四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d8402dd19b34d50fd5a2c60c2d974d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821309f088a175c00dc0f4828334503d.png)
您最近一年使用:0次
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【推荐3】如图,在正方体
中,E是线段
上的动点,下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/4ead815c-884c-4204-ae02-ea6ae784984b.png?resizew=164)
①
面
;
②
面
;
③二面角
的平面角为
;
④三棱锥
的体积不变.
其中正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/4ead815c-884c-4204-ae02-ea6ae784984b.png?resizew=164)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d850305485a6d3ee30fe313dc8bb736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/565133e91e3ace2b2187cfc6f1db5be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
③二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc741de0ca651a0f3ef1974c3bb52bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a91c2d02c8116e99111c488056553d.png)
其中正确结论的序号为
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