名校
解题方法
1 . 在正方体
中,P为线段
上的任意一点,有下面三个命题:①
平面
;②
;③
.上述命题中正确命题的序号为__________ (写出所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb8c3e6d8e2843a2783a409e130bc0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ca4bd9bbb2ee457c58e123ffad3c9e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/b656c1cc-0456-4eaa-8529-3894601759b6.png?resizew=220)
您最近一年使用:0次
2020-11-06更新
|
672次组卷
|
4卷引用:沪教版(2020) 必修第三册 精准辅导 第10章 10.3(1)直线与平面平行(第1课时)
21-22高一·全国·课后作业
2 . 已知平面α,β和直线m,l,则下列说法:
①若α⊥β,α∩β=m,l⊥m,则l⊥β;
②若α∩β=m,l⊂α,l⊥m,则l⊥β;
③若α⊥β,l⊂α,则l⊥β;
④若α⊥β,α∩β=m,l⊂α,l⊥m,则l⊥β.
其中正确的说法序号为________ .
①若α⊥β,α∩β=m,l⊥m,则l⊥β;
②若α∩β=m,l⊂α,l⊥m,则l⊥β;
③若α⊥β,l⊂α,则l⊥β;
④若α⊥β,α∩β=m,l⊂α,l⊥m,则l⊥β.
其中正确的说法序号为
您最近一年使用:0次
名校
解题方法
3 . 在长方体
中,
,E为棱
上任意一点,给出下列四个结论:
①
与
不垂直;
②长方体
外接球的表面积最小为
;
③E到平面
的距离的最大值为
;
④长方体
的表面积的最大值为6.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785a47bbaa74b14831cd3b1948f3bf3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
②长方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c055a02fba0827ffcaa92f73ce7720.png)
③E到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b8f65872fbe939603c6e2acee74baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
④长方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
其中所有正确结论的序号为
您最近一年使用:0次
2021-03-22更新
|
671次组卷
|
3卷引用:1.1 命题及其关系提高练-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)
(已下线)1.1 命题及其关系提高练-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)河北省衡水中学2021届全国高三下学期第二次联合考试(II卷)数学(理)试题甘肃省张掖市某重点校2022-2023学年高三上学期第七次检测数学(理)试题
4 . 在正方体
中,M,N分别是线段
,
的中点,给出下面结论:
①
平面
;②
;③
平面
;④平面MNB与平面ABCD相交.
其中正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02438f0423acd0ff2dfa5ffb6abf143f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f308dbf591d107899c6b6a294037088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
其中正确结论的序号为
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5 . 将边长为
正方形
沿对角线
折成直二面角
,有如下三个结论: (1)
;(2)
是等边三角形;(3)四面体
的表面积为
.则正确结论的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1854ba6cc92481d7a616bd2788a47e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a783e5ffcf7a4ea9e531ea76199487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16edecab3862a10bc9480543c34478a9.png)
您最近一年使用:0次
2016高一·全国·课后作业
6 . 设l、m、n是三条不同的直线,α、β、γ是三个不同的平面,下面有四个命题:
①若l∥β,α∥β,则l∥α;
②若l∥n,m∥n,则l∥m;
③若α⊥β,l∥α,则l⊥β;
④若l⊥α,m⊥β,α⊥β,则l⊥m.
其中假命题的题号为__ .(把正确命题的序号都填上)
①若l∥β,α∥β,则l∥α;
②若l∥n,m∥n,则l∥m;
③若α⊥β,l∥α,则l⊥β;
④若l⊥α,m⊥β,α⊥β,则l⊥m.
其中假命题的题号为
您最近一年使用:0次
解题方法
7 . 过
所在平面
外一点
作
,垂足为
,连接
,给出下面四种说法:
①若
,则点
是
的外心;
②若点
到
三边所在直线的距离都相等,则点
是
的内心;
③若
,
,
,则点
是
的垂心;
④若
与平面
所成的角都相等,则点
是
的外心.
其中所有正确说法的序号是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/59169f91ebc758ba6e73fc99fcfaab15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc65a72853bd8ac1ad0828270d3baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a916d31a199e250556fb7478d9f57f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中所有正确说法的序号是
您最近一年使用:0次
8 . 过
所在平面
外一点
作
,垂足为
,连接
.给出下面四种说法:
①若
,则点
是
的外心;
②若点
到
三边所在直线的距离都相等,则点
是
的内心或旁心;
③若
,则点
是
的垂心;
④若
与平面
所成的角都相等,则点
是
的外心.
其中所有正确说法的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/59169f91ebc758ba6e73fc99fcfaab15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4116894d7b972f8d7b7a761820adcd84.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fc65a72853bd8ac1ad0828270d3baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684265abf6458d2571adfa7d2f3db16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4116894d7b972f8d7b7a761820adcd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
其中所有正确说法的序号是
您最近一年使用:0次