如图,在棱长为1的正方体
中,点
在线段
上运动,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/7/6/2758276252459008/2760008548851712/STEM/b788b565-ad65-4671-89eb-bb5778e0f373.png?resizew=224)
![](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/d7f6f93171329d508d491143b9d71f7b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/6/2758276252459008/2760008548851712/STEM/b788b565-ad65-4671-89eb-bb5778e0f373.png?resizew=224)
A.存在某个位置,使直线![]() ![]() |
B.三棱锥![]() ![]() |
C.![]() ![]() |
D.直线![]() ![]() ![]() ![]() |
更新时间:2021-07-10 21:44:22
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【推荐1】在直棱柱
中,
,M,N分别是棱
,
上的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cfd1e69df346eb8e72edb1aad4ecee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.直棱柱![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.直线![]() ![]() ![]() |
D.三棱锥![]() ![]() |
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【推荐2】如图,在平面四边形ABCD中,
和
是全等三角形,
,
,
.下面有两种折叠方法将四边形ABCD折成三棱锥.折法①将
沿着AC折起,形成三棱锥
,如图1;折法②:将
沿着BD折起,形成三棱锥
,如图2.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ebd86a076448d19401268f139b5b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c18aba9681a8475968248764d4c3a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/3/b07e47d3-0718-4333-bf27-aa93ce56c203.png?resizew=379)
A.按照折法①,三棱锥![]() ![]() |
B.按照折法①,存在![]() ![]() |
C.按照折法②,三棱锥![]() ![]() |
D.按照折法②,存在![]() ![]() ![]() ![]() ![]() |
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【推荐1】我国有着丰富悠久的“印章文化”,古时候的印章一般用贵重的金属或玉石制成,本是官员或私人签署文件时代表身份的信物,后因其独特的文化内涵,也被作为装饰物来使用.图1是明清时期的一个金属印章摆件,除去顶部的环可以看作是一个正四棱柱和一个正四棱锥组成的几何体;如图2,已知正四棱柱和正四棱锥的高之比为1:2,且底面边长均为,若该几何体的所有顶点都在球
的表面上,则( )
A.球![]() ![]() |
B.正四棱柱和正四棱锥组成的几何体的体积为20 |
C.正四棱锥的侧棱与其底面所成角的正弦值为![]() |
D.正四棱锥的侧面与其底面的夹角的正弦值为![]() |
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【推荐2】如图,在棱长为2的正方体ABCD﹣A1B1C1D1中,下列结论正确的有( )
![](https://img.xkw.com/dksih/QBM/2021/8/5/2779785293250560/2788344519622656/STEM/1f7c9c77-e8ad-4d26-bdb3-b3c729ffef45.png?resizew=243)
![](https://img.xkw.com/dksih/QBM/2021/8/5/2779785293250560/2788344519622656/STEM/1f7c9c77-e8ad-4d26-bdb3-b3c729ffef45.png?resizew=243)
A.二面角A1﹣CD﹣D1的大小为45° |
B.异面直线D1B1与CD所成的角为60° |
C.D1到平面A1DCB1的距离为![]() |
D.直线D1B1与平面A1DCB1所成的角为30° |
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【推荐3】如图,在正方体
中,点F是线段
上的动点,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/2ea8ca4b-2777-40ba-a9b0-2644a4d010c5.png?resizew=144)
![](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/2022/11/1/2ea8ca4b-2777-40ba-a9b0-2644a4d010c5.png?resizew=144)
A.当点F移动至![]() ![]() ![]() ![]() |
B.无论点F在![]() ![]() |
C.当点F移动至![]() ![]() ![]() ![]() |
D.无论点F在![]() ![]() ![]() ![]() |
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【推荐1】如图所示,棱长为1的正方体
中,P为线段
上的动点(不含端点),则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/5/15/2463394131066880/2464002326347776/STEM/107d3359-01d7-4f88-b952-a29c2c1af89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/2020/5/15/2463394131066880/2464002326347776/STEM/107d3359-01d7-4f88-b952-a29c2c1af89c.png)
A.平面![]() ![]() | B.![]() |
C.三棱锥![]() | D.![]() |
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【推荐2】如图,棱长为1的正方体
中,P为线段
上的动点,则下列结论中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/a5f9d0c5-671d-434c-b00f-a70add46ba0c.png?resizew=183)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/a5f9d0c5-671d-434c-b00f-a70add46ba0c.png?resizew=183)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() ![]() |
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【推荐3】如图,已知正方体
,
分别是
,
的中点,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/ceb09256-6695-4787-9926-08a7d95d3eed.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c597ff77c65c5add6f50294e3eee9536.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/ceb09256-6695-4787-9926-08a7d95d3eed.png?resizew=161)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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