1 . 如图所示,在
中,
,
,
,在
边上任取一点
,并将
沿直线
折起,使平面
平面
,则折叠后
、
两点间距离的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/df09e8cd-409a-4c5e-b5c1-74b0700b2614.png?resizew=278)
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名校
2 . 如图,点
在正方体
的面对角线
上运动,则下列四个命题:
①
面
;
②
;
③平面
平面
;
④三棱锥
的体积不变.
其中正确的命题序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011abe509df00fe9410ab08b585ad7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc00eef1ed63477a276563262e85e84.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55dc841ce2bb4d2673f48391bf2886d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288b953ac595bc515fcc97716697b739.png)
其中正确的命题序号是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/10403907-f156-435f-a76f-bf369029d701.png?resizew=189)
您最近一年使用:0次
2019-04-16更新
|
714次组卷
|
3卷引用:【市级联考】四川省眉山市2018-2019学年高二上学期期末教学质量检测理科数学试题
名校
3 . 空间点到平面的距离定义如下:过空间一点作平面的垂线,这个点和垂足之间的距离叫做这个点到这个平面的距离.已知平面
两两互相垂直,点
,点
到
的距离都是2,点
是
上的动点,满足
到
的距离是
到点
距离的2倍,则点
的轨迹上的点到
的距离的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0b6de90bb936cdb09629123100145d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938ad854586909bb83864472b0df521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
您最近一年使用:0次
2018-04-23更新
|
735次组卷
|
2卷引用:四川省双流中学2018-2019学年高三3月月考数学(理)试题
名校
4 . 如图,等腰
所在平面为
,
,
,点
,
分别为
,
的中点,点
为
的中点.平面
内经过点
的直线
将
分成两部分,把点
所在的部分沿直线
翻折,使点
到达点
(
平面
).若点
在平面
内的射影
恰好在翻折前的线段
上,则线段
的长度的取值范围是__________ .
![](https://img.xkw.com/dksih/QBM/2018/3/29/1912527569485824/1913341385760768/STEM/4bc8b1476a054943ad96b0d6b1112c72.png?resizew=593)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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![](https://img.xkw.com/dksih/QBM/2018/3/29/1912527569485824/1913341385760768/STEM/4bc8b1476a054943ad96b0d6b1112c72.png?resizew=593)
您最近一年使用:0次
2018-03-30更新
|
857次组卷
|
3卷引用:四川省内江市威远中学2020-2021学年高三3月月考数学(文)试题
名校
5 . 点E、F、G分别是正方体ABCD-A1B1C1D1的棱AB、BC、B1C1的中点,如图所示,则下列命题中的真命题是________ (写出所有真命题的编号).
①以正方体的顶点为顶点的三棱锥的四个面中最多只有三个面是直角三角形;
②过点F、D1、G的截面是正方形;
③点P在直线FG上运动时,总有AP⊥DE;
④点Q在直线BC1上运动时,三棱锥A-D1QC的体积是定值;
⑤点M是正方体的平面A1B1C1D1内的到点D和C1距离相等的点,则点M的轨迹是一条线段.
您最近一年使用:0次
2017-10-12更新
|
1733次组卷
|
4卷引用:四川省简阳市阳安中学2020-2021学年高二9月月考数学试题
名校
解题方法
6 . 若点
是棱长为
的正方体
的内切球
的球面上的动点,点
为棱
上的一点,且
,
,则动
点的轨迹的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af2fdf1944afebb51cb6a5e6c74aadd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72daa98f98150e631d85eb0c172c88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d3505c92b870c0dea9d9e8575f7523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/862deaae-677e-49f4-8c86-332597e24c37.png?resizew=181)
您最近一年使用:0次
2017-05-21更新
|
1496次组卷
|
5卷引用:【全国百强校】四川省绵阳中学2018届高三高考三模数学试题(理科)试题
7 . 如图1,已知点E、F、G分别是棱长为a的正方体ABCD-A1 B1Cl D1的棱AA1、BB1、DD1的中点,点M、N、P、Q分别在线段AG、 CF、BE、C1D1上运动,当以M、N、P、Q为顶点的三棱锥Q-PMN的俯视图是如图2所示的正方形时,则点Q到PMN的距离为__________ .
![](https://img.xkw.com/dksih/QBM/2015/5/4/1572094305280000/1572094311145472/STEM/27628be0b5f349ebba8ea913fc5fc35c.png?resizew=208)
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