如图,在正方体
中,E是
的中点,则
与平面ACE的位置关系为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2693df31c2a90770013bfd63f8a4e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://img.xkw.com/dksih/QBM/2022/5/7/2974315087159296/2983263381970944/STEM/ef4ee90c-1b9d-465f-bb35-4badfdad08bb.png?resizew=157)
21-22高一·全国·课前预习 查看更多[1]
(已下线)8.5.2直线与平面平行(导学案)原卷版-2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)
更新时间:2022-05-20 07:27:47
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【知识点】 判断线面平行
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【推荐1】如图,在单位正方体
中,点P是线段
上的动点,给出以下四个命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d0c52d24-34c5-4191-9a90-fb7936284956.png?resizew=186)
①直线
与直线
所成角的大小为定值;
②二面角
的大小为定值;
③若Q是对角线
,上一点,则
长度的最小值为
;
④若R是线段BD上一动点,则直线PR与直线
有可能平行.
其中真命题有______ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d0c52d24-34c5-4191-9a90-fb7936284956.png?resizew=186)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad3a1ea6790177130e16c2124984087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
②二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d286cc307396ae72d71f98503b942f7e.png)
③若Q是对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7daf1bd6cc2e6229afc02131d714f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
④若R是线段BD上一动点,则直线PR与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
其中真命题有
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【推荐2】如图所示,是一个正方体的表面展开图,若把它再折回成正方体后,有下列命题:
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061992517672960/2062523046789120/STEM/a220d8b2ddfa4350a404f9060da1c22d.png?resizew=177)
①点
与点
重合;
②
与
垂直;
③
与
所成角度是
;
④
与
平行.
其中正确命题的序号是_________ .(注:把你认为正确的命题的序号都填上)
![](https://img.xkw.com/dksih/QBM/2018/10/26/2061992517672960/2062523046789120/STEM/a220d8b2ddfa4350a404f9060da1c22d.png?resizew=177)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4eccda4edcee29a5f15609e85106df.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6283ef7114c395430583c6c9ff48a287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4eccda4edcee29a5f15609e85106df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe8140a38ee6b0b28a5b661f8b1f3d5e.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb6eb78ca96fc50b152315665461e6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
其中正确命题的序号是
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解题方法
【推荐3】如图,矩形ABCD中,AB=2AD,E为边AB的中点,将△ADE沿直线DE翻折成△A1DE.若M为线段A1C的中点,则在△ADE翻折过程中,下面四个命题中正确的是___________ .(填序号即可)
![](https://img.xkw.com/dksih/QBM/2021/4/17/2701599263342592/2703362363293696/STEM/1af9c706-55a1-45ef-a73b-46f13fc91b32.png?resizew=315)
①|BM|是定值;
②总有CA1⊥平面A1DE成立;
③存在某个位置,使DE⊥A1C;
④存在某个位置,使MB
平面A1DE.
![](https://img.xkw.com/dksih/QBM/2021/4/17/2701599263342592/2703362363293696/STEM/1af9c706-55a1-45ef-a73b-46f13fc91b32.png?resizew=315)
①|BM|是定值;
②总有CA1⊥平面A1DE成立;
③存在某个位置,使DE⊥A1C;
④存在某个位置,使MB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
您最近一年使用:0次