解题方法
1 . 如图,在正方体
中,
为棱
的中点,
为棱
(含端点)上的一个动点.给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/6d6492fd-1498-49e7-aee0-3af641590d0d.png?resizew=165)
①存在符合条件的点
,使得
平面
;
②不存在符合条件的点
,使得
;
③异面直线
与
所成角的余弦值为
;
④三棱锥
的体积的取值范围是
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6293a2528570eda7fef7c784efc7d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/6d6492fd-1498-49e7-aee0-3af641590d0d.png?resizew=165)
①存在符合条件的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ea211a573491409cb60f9fbe9a65cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c9f260496ba23993238601a89eca5c.png)
②不存在符合条件的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7a3dc3f3a02f4400e22dec2f2fee23.png)
③异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becf2941e15d668d93ea6ed980afd0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cd8ecd9806e3a8c9b2de96110970b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31458a4ee26d560cf1f3e438f5b602.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
2 . 在
中,
是边
的中点,
是边
上的动点(不与
重合),过点
作
的平行线交
于点
,将
沿
折起,点
折起后的位置记为点
,得到四棱锥
,如图所示,给出下列四个结论:正确的是_______ .
不可能为等腰三角形;
②
平面
;
③对任意点
,都有平面
;
④存在点
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e8a02a7f28add9b9f32e836fd8a55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57650963051ccb44a3cfb24f08228405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9596850884048064a3ec8bd48c4762.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
③对任意点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30802944c1ea7d005c392e9a54eabedc.png)
④存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666e81326945f168fc30291f1bb2fc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9986e9390b44ddde72b54779f5825bb6.png)
您最近一年使用:0次
名校
解题方法
3 . 在棱长为1的正方体
中,点
是对角线
的动点(点
与
不重合),则下列结论正确的有__________ .
,使得平面
平面
;
②
分别是
在平面
,平面
上的正投影图形的面积,存在点
,使得
;
③对任意的点
,都有
;
④对任意的点
的面积都不等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04d6165b18f1a031b2a137961832491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0b7505c4f05ebf87c30eb7ae0d6edb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd5683dba7d9f29d643e9a3e3204fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dd78e9156dcf6db93f6cbcc5b43b14.png)
③对任意的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e49f40551cef68103af5d7d752c6878.png)
④对任意的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc1c46130944027b9c2a39b77927269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a8b76e36783a69d14ec54af82c7df0.png)
您最近一年使用:0次
2023-12-05更新
|
370次组卷
|
6卷引用:北京市海淀区北京交大附中2024届高三上学期12月诊断练习数学试题
北京市海淀区北京交大附中2024届高三上学期12月诊断练习数学试题四川省宜宾市叙州区第二中学校2024届高三上学期期末数学(理)试题四川省宜宾市叙州区第二中学校2024届高三上学期期末数学(文)试题(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)(已下线)第8章 立体几何初步 单元综合检测(难点)-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)专题20 平面与平面的位置关系-《重难点题型·高分突破》(苏教版2019必修第二册)
4 . 如图,在棱长为2的正方体
中,
,
分别是棱
,
的中点,点
在
上,点
在
上,且
,点
在线段
上运动,给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/2024/2/3/3425106637709312/3430232655585280/STEM/6a2e8f2b25ea4ba38813b3d8db0782ea.png?resizew=162)
①当点
是
中点时,直线
平面
;
②直线
到平面
的距离是
;
③存在点
,使得
;
④
面积的最小值是
.
其中所有正确结论的序号是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b20bec6da0e92b220021ab497e1ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3adea2cdc3b64f1bf79265d4cb1425ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://img.xkw.com/dksih/QBM/2024/2/3/3425106637709312/3430232655585280/STEM/6a2e8f2b25ea4ba38813b3d8db0782ea.png?resizew=162)
①当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70db40c42655327adee01caedfc9d50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae1adc3dbbcbb2571fe2900fd3c5be1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba2d49042c812a164167a8e42fde290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3740691124a5ed24347bffe5d55af3.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
5 . 如图,在棱长为1的正方体
中,点
是对角线
上的动点(点
与
不重合),则下面结论中正确的是__________ .(填序号)
①存在点
,使得平面
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
②存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6e96872af0f0b341835576c407e364.png)
③对任意点
的面积都不等于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0467b0675c3ecfb282cc88255284d3e1.png)
④
分别是
在平面
,平面
上的正投影图形的面积,对任意点
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04d6165b18f1a031b2a137961832491.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/14/2a051d9a-16b1-48f1-ab42-79751f3d8dba.png?resizew=163)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1671cc93b233d6e52529a50c1a622ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0a582c36d62d83c16425b2f54b4354.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1d2e0f281222a5f289ea4008370aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6e96872af0f0b341835576c407e364.png)
③对任意点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc1c46130944027b9c2a39b77927269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0467b0675c3ecfb282cc88255284d3e1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd5683dba7d9f29d643e9a3e3204fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3928d0c519a9e198a0313c75147f6ca.png)
您最近一年使用:0次
2023-08-10更新
|
652次组卷
|
2卷引用:北京市育英学校2023届高三6月统一练习(一) 数学试题
名校
解题方法
6 . 已知棱长为2的正方体
,点
是线段
上一动点.给出如下推断:
,总有
;
②存在点
,使得
平面
;
③三棱锥
体积的最大值为4.
则所给推断中正确的是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a869f58dbab90f0d663d829a3ac23ccc.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ddec54d09af4198ca85ccfd27dd3ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cfdc6224181d44e63aab43ddaf07ef.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ffc6664cb2fc95f7bc190659308b72.png)
则所给推断中正确的是
您最近一年使用:0次
2023-08-05更新
|
813次组卷
|
6卷引用:北京市平谷区2022-2023学年高一下学期期末数学试题
北京市平谷区2022-2023学年高一下学期期末数学试题北京市日坛中学2023-2024学年高二上学期10月月考数学试题【北京专用】专题15立体几何与空间向量(第四部分)-高一下学期名校期末好题汇编(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点4 直线与平面平行的判定与证明综合训练【基础版】(已下线)高一下学期期末复习填空题压轴题二十三大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)专题04 立体几何初步-期期末真题分类汇编(人教A版2019必修第二册)
7 . 在
中,
,D是边AC的中点,E是边AB上的动点(不与A,B重合),过点E作AC的平行线交BC于点F,将
沿EF折起,点B折起后的位置记为点P,得到四棱锥
,如图所示,给出下列四个结论,其中所有正确结论的序号是__________ .
不可能为等腰三角形;
②
平面PEF;
③当E为AB中点时,三棱锥
体积的最大值为
;
④存在点E,P,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5701ee5fb156e25cc18db1229590d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57650963051ccb44a3cfb24f08228405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9596850884048064a3ec8bd48c4762.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f81fa367ec317fe2a30142e1c30cce7.png)
③当E为AB中点时,三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e73fe210736ce7b30b039d34587e3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
④存在点E,P,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9986e9390b44ddde72b54779f5825bb6.png)
您最近一年使用:0次
2023-08-04更新
|
484次组卷
|
5卷引用:北京市怀柔区2022-2023学年高一下学期期末数学试题
北京市怀柔区2022-2023学年高一下学期期末数学试题【北京专用】专题15立体几何与空间向量(第四部分)-高一下学期名校期末好题汇编(已下线)高一下学期期末复习填空题压轴题二十三大题型专练(2)-举一反三系列(人教A版2019必修第二册)(已下线)专题06 空间中点线面的位置关系6种常考题型归类(2) -期期末真题分类汇编(北京专用)(已下线)专题08立体几何期末14种常考题型归类(2) -期末真题分类汇编(人教B版2019必修第四册)
名校
8 . 如图,在棱长为1的正方体ABCD﹣A1B1C1D1中,E是棱AA1上的一个动点,给出下列四个结论:①三棱锥B1-BED1的体积为定值;②存在点E使得B1C⊥平面BED1;③对于每一个点E,在棱DD1上总存在一点P,使得CP//平面BED1;④M是线段BC1上的一个动点,过点A1的截面
垂直于DM,则截面
的面积的最小值为
.其中所有正确结论的序号是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
您最近一年使用:0次
名校
解题方法
9 . 在棱长为2的正方体
中,过点
的平面
分别与棱
,
,
交于点
,
,
,记四边形
在平面
上的正投影的面积为
,四边形
在平面
上的正投影的面积为
.给出下面有四个结论:
①四边形
是平行四边形;
②
的最大值为
;
③
的最大值为
;
④四边形
可以是菱形,且菱形面积的最大值为
.
则其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.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/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50524aaa1503092bd18419de6d851541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c21cbb1c2bcbcb8391ac5a879f2ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
④四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
则其中所有正确结论的序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/35fcbf08-2588-410e-af5b-3c492fa2460d.png?resizew=178)
您最近一年使用:0次
名校
解题方法
10 . 在正方体
中,
为正方形
的中心.动点
沿着线段
从点
向点
移动,有下列四个结论:
①存在点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d02e9e51072b4c6c25dfee05b77cc.png)
②三棱锥
的体积保持不变;
③
的面积越来越小;
④线段
上存在点
,使得
,且
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d609847e2ff3d64e5a514582c3ead0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a122e25cf4eb9f03ffe5ec823bfc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d02e9e51072b4c6c25dfee05b77cc.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb7ec039a06be81be737d6902a33430.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad53e9745d0db9ff5ed73e099b92e3f.png)
④线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198bf739bc00bf9af2a328944e4d1385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a852d1b8ad5024dfba55360e56322ea3.png)
其中所有正确结论的序号是
您最近一年使用:0次
2022-12-29更新
|
639次组卷
|
3卷引用:北京市大兴区2023届高三上学期期末检测数学试题
北京市大兴区2023届高三上学期期末检测数学试题北京市第一零一中学2023-2024学年高三上学期数学统练五(已下线)1.2.1 空间中的点、直线与空间向量(分层训练)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第一册)