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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2022-11-19更新
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330次组卷
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2卷引用:江西省吉安市第一中学2022-2023学年高三上学期11月期中考试文科数学试题