名校
解题方法
1 . 如图,已知正方体
的棱长为2,点
是
内(包括边界)的动点,则下列结论中正确的序号是_____ .(填所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/13/1f83e646-df43-4af3-bd0c-139c96604ece.png?resizew=178)
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
平面
;
②若
,则直线
与
所成角的余弦值为
;
③若
,则
的最大值为
;
④若平面
与正方体各个面都相交,且
,则截面多边形的周长一定为
.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/13/1f83e646-df43-4af3-bd0c-139c96604ece.png?resizew=178)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b87f3fdfa5ed5dfe1380cc8f988835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7bfd06b4490f34405dc6e1128058be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecad355286188fd317939fa50f9555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64e76a4c1e5934f51cdca2ffbc8313f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2412cbdeb42ff85e7736808c4d56f4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
④若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bc6a7e1ace458b04b99247bca0accd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec978eb43bc4f9e7df83b0d0195dcda.png)
您最近一年使用:0次
2023-04-26更新
|
601次组卷
|
2卷引用:贵州省凯里市第一中学2023届高三三模数学(文)试题
名校
2 . 如图,已知正方体
的棱长为2,点E是
内(包括边界)的动点,则下列结论中正确的序号是________ (填所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/7e11cc65-4391-4ccf-a3fb-a5d662976513.png?resizew=170)
①若
,
,则
平面
;
②若平面
与正方体各个面都相交,且
,则截面多边形的周长一定为
;
③若
的角平分线交AB于点F,且
,则动点E的轨迹长为
;
④直线
与平面
所成的角的余弦值的最大值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/26/7e11cc65-4391-4ccf-a3fb-a5d662976513.png?resizew=170)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f1d0b5e4a6ebf4405b98a21a1ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44edb46eb17d224e0d9a2667c2e5df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
②若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bc6a7e1ace458b04b99247bca0accd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec978eb43bc4f9e7df83b0d0195dcda.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a55a1a244f81097e05e715b69580faa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f31a3724c639f88486f8356ca65397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06beac41f26a7735bbeff2e7df52f51d.png)
④直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc61d5de97b5a40be925b278ae494c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
您最近一年使用:0次
2023-04-25更新
|
443次组卷
|
2卷引用:贵州省凯里市第一中学2023届高三三模数学(理)试题