如图所示,在空间四边形ABCD中,点E,H分别是边AB,AD的中点,点F,G分别是边BC,CD上的点,且
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/68a2ac7d-1fff-492e-a1b8-81073f6b57d0.png?resizew=184)
①E,F,G,H四点共面;②EF与GH异面;
③EF与GH的交点M可能在直线AC上,也可能不在直线AC上;
④EF与GH的交点M一定在直线AC上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2113be5ad1c9c2b4f4535bd97eff71.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/68a2ac7d-1fff-492e-a1b8-81073f6b57d0.png?resizew=184)
①E,F,G,H四点共面;②EF与GH异面;
③EF与GH的交点M可能在直线AC上,也可能不在直线AC上;
④EF与GH的交点M一定在直线AC上.
A.①③ | B.①④ | C.②③ | D.②④ |
2023高三·全国·专题练习 查看更多[6]
(已下线)9.3 空间点、直线、平面之间的位置关系江西省宜春市宜丰县宜丰中学2022-2023学年高一上学期期中考试数学试题(已下线)第18讲 基本图形位置关系(已下线)第23讲 空间点、直线、平面之间的位置关系5种常考题型(1)(已下线)8.4 空间点、直线、平面之间的位置关系(2)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)专题8.17 立体几何初步全章综合测试卷(基础篇)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)
更新时间:2022-09-19 22:57:13
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【推荐1】空间中,设
是直线
外一点,
是一个平面,则以下列命题中,错误的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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A.过点![]() ![]() | B.过点![]() ![]() |
C.过点![]() ![]() | D.过点![]() ![]() |
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【推荐2】设
是两条不同的直线,
是两个不同的平面,则下列命题中正确的是
![](https://img.xkw.com/dksih/QBM/2016/3/10/1572531273695232/1572531279437824/STEM/bcfbc237147a4eea9f5daa65b8d4ecae.png)
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A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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【推荐1】如图,在正方体
中,已知E,F,G,H,分别是
,
,
,
的中点,则下列结论中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
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A.C,G,![]() | B.直线![]() ![]() |
C.平面![]() ![]() | D.直线EF和HG所成角的正切值为![]() |
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【推荐2】下列说法正确的个数
①空间中三条直线交于一点,则这三条直线共面;
②梯形可以确定一个平面;
③如果一个角的两边分别平行于另一个角的两边,则这两个角相等;
④
且
,则
在
上.
①空间中三条直线交于一点,则这三条直线共面;
②梯形可以确定一个平面;
③如果一个角的两边分别平行于另一个角的两边,则这两个角相等;
④
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【推荐3】蜂巢是由工蜂分泌蜂蜡建成的从正面看,蜂巢口是由许多正六边形的中空柱状体连接而成,中空柱状体的底部是由三个全等的菱形面构成,菱形的一个角度是
,这样的设计含有深刻的数学原理、我国著名数学家华罗庚曾专门研究蜂巢的结构著有《谈谈与蜂房结构有关的数学问题》.用数学的眼光去看蜂巢的结构,如图,在六棱柱
的三个顶点
,
,
处分别用平面
,平面
,平面
截掉三个相等的三棱锥
,
,
,平面
,平面
,平面
交于点
,就形成了蜂巢的结构.如图,以下四个结论①
;②
;③
,
,
,
四点共面;④异面直线
与
所成角的大小为
.其中正确的个数是( ).
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