名校
解题方法
1 . 如图,四边形
为正方形,
平面
,
,记三棱锥
,
,
的体积分别为
,则下列四个结论:①
;②
;③
;④
.其中正确结论的序号为__________ .
(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a38e6c6dfde2b19b6b47f35a439a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4f0671cd47fc0ae36e096ba7fb39b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b565e518d475a50358fedff2f0bb8dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c416b5f18fbb0b7f79e8a5702acd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437c9774700f6c066b3e19d17d54b368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e1fa43badbcca84eb7310e1e039335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f48dbee8d568fcf7659943d8bb0e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c177dbff699831f9c6dc590c730e206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a3878ecfe60d8013524e835c293a8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a646e50880d52917fd2ce8c9d2b7ad28.png)
(写出所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/756f8092-890c-4f1d-b7f7-43622a036b83.png?resizew=187)
您最近一年使用:0次
名校
2 . 如图,矩形
中,
,
为边
的中点,将
沿直线
翻折至
的位置.若
为线段
的中点,在
翻折过程中(
平面
),给出以下结论:
①三棱锥
体积最大值为
;
②直线
平面
;
③直线
与
所成角为定值;
④存在
,使
.
则其中正确结论的序号为_________ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8588e18e27bfebf7c81c7e3c7efb1149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb79f948d408ab4fb6708bde172c5e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b9f96b8ecc3cb000bb2f030809f225.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c70966a318ef8ecf874257f5c5e5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce1b066f8869d0ff4513f7a99745125.png)
④存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
则其中正确结论的序号为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/2/db8c3c80-3639-479e-8ae4-e7aeaef6394b.png?resizew=239)
您最近一年使用:0次
2022-07-01更新
|
1374次组卷
|
5卷引用:山西省太原市2021-2022学年高一下学期期末数学试题
3 . 如图,在正四棱锥
中,
,
,动点
,
分别在线段
,
上,且满足
,现给出下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/4b6dde4d-069f-47ef-ac4c-34a45943be31.png?resizew=160)
①四棱锥
的体积不变;
②平面
平面
;
③三棱锥
体积的最大值为
;
④三角形
可能是锐角三角形.
其中正确结论的序号为______ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3eb538f36e6e722e4ce125266b99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986a41e3ae80e591e3efeb97a59555e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/4b6dde4d-069f-47ef-ac4c-34a45943be31.png?resizew=160)
①四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75764c506b7ff847a7960ed28371f49b.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f020ca4ad44801691235958e253907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb4114ae425d31ea6b554b328163a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
④三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
其中正确结论的序号为
您最近一年使用:0次
名校
4 . 如图,在棱长为
的正方体
中,
,
分别为
,
的中点,有以下四种说法:
![](https://img.xkw.com/dksih/QBM/2022/4/14/2958049529307136/2958818150686720/STEM/a716e0ce-ac0f-4111-ba4c-8aacf0d4c6d3.png?resizew=170)
①直线
与
的夹角为
;
②二面角
的正切值是
;
③经过三点
,
,
截正方体的截面是等腰梯形;
④点
到平面
的距离为
;
则正确命题的序号为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2022/4/14/2958049529307136/2958818150686720/STEM/a716e0ce-ac0f-4111-ba4c-8aacf0d4c6d3.png?resizew=170)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
②二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213d25b5ade550ec6afd3536e9eb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③经过三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7f4612c548b1f72a964ddb291cd2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
则正确命题的序号为
您最近一年使用:0次
2022-04-15更新
|
340次组卷
|
2卷引用:四川省攀枝花市第七高级中学校2021-2022学年高三上学期入学考试理科数学试题
5 . 如图,正方体
的棱长为1,给出下列四个命题:
①直线
与平面
所成的角等于
;
②点
到面
的距离为
;
③两条异面直线
和
所成的角为
;
④三棱柱
外接球半径为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/6fa9548e-52a0-4c44-bfd5-f7ecb7f3dd98.png?resizew=177)
其中正确命题的序号为______ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
③两条异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
④三棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fb983b4b6c1eb000035f6284f889f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/6fa9548e-52a0-4c44-bfd5-f7ecb7f3dd98.png?resizew=177)
其中正确命题的序号为
您最近一年使用:0次
名校
6 . 已知四边形
为矩形,
,
为
的中点,将
沿
折起,得到四棱锥
,设
的中点为
,在翻折过程中,得到如下有三个命题:
①
平面
,且
的长度为定值
;
②三棱锥
的最大体积为
;
③在翻折过程中,存在某个位置,使得
.
其中正确命题的序号为__________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1e88b36ff71fe69c07bade0f95f1ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519862a321d8067fb18dd2af1affb2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f214481e6b23307a37940f6dd0313d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48856dc77af21bf856c6ea77a9077e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2237c2fbad38af97db3f35f7d7e83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
③在翻折过程中,存在某个位置,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b245e1ed221af9abc5c845face3a56.png)
其中正确命题的序号为
您最近一年使用:0次
2019-08-02更新
|
4239次组卷
|
17卷引用:内蒙古赤峰市2018-2019学年高二下学期期末联考数学(理)试题
内蒙古赤峰市2018-2019学年高二下学期期末联考数学(理)试题2019年河北唐山市区县高三上学期第一次段考数学(文)试题2019年河北唐山市区县高三上学期第一次段考数学(理)试题宁夏回族自治区银川市宁一中2019-2020学年高三12月月考数学(理)试题河北省衡水市武邑县2019-2020学年高三上学期12月月考数学(理)试题(已下线)2020届高三12月第02期(考点07)(理科)-《新题速递·数学》2020届甘肃省河西五市部分普通高中高三第一次联合考试数学理科试卷(已下线)强化卷05(3月)-冲刺2020高考数学之拿高分题目强化卷(山东专版)山东省淄博市桓台第一中学2019-2020学年高一下学期期中考试数学试题四川省南充高级中学2020-2021学年高二上学期第二次月考数学(文)试题内蒙古赤峰二中2021-2022学年高三上学期第一次月考数学(理)试题上海市位育中学2021-2022学年高二上学期期中数学试题(已下线)第01讲 空间直线与平面(核心考点讲与练)(2)(已下线)专题06 立体几何(文)第二篇-备战2020高考数学黄金30题系列之压轴题(新课标版)(已下线)专题06 立体几何(理)第二篇-备战2020高考数学黄金30题系列之压轴题(新课标版)北京市海淀区2023届高三一模数学试题查漏补缺练习(已下线)第10讲空间直线、平面的平行(核心考点讲与练)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(原卷版)
2011·广西桂林·一模
名校
7 . 给出下列四个命题:
①过平面外一点,作与该平面成
角的直线一定有无穷多条;
②一条直线与两个相交平面都平行,则它必与这两个平面的交线平行;
③对确定的两条异面直线,过空间任意一点有且只有唯一的一个平面与这两条异面直线都平行;
④对两条异面的直线,都存在无穷多个平面分别与这两条直线所成的角相等;
其中正确的命题序号为______ (请把所有正确命题的序号都填上).
①过平面外一点,作与该平面成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
②一条直线与两个相交平面都平行,则它必与这两个平面的交线平行;
③对确定的两条异面直线,过空间任意一点有且只有唯一的一个平面与这两条异面直线都平行;
④对两条异面的直线,都存在无穷多个平面分别与这两条直线所成的角相等;
其中正确的命题序号为
您最近一年使用:0次
名校
8 . 设
是两条不同的直线,
是三个不同的平面,下列说法中正确的序号为( )
①若
,则
为异面直线 ②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202af51f5ebe87ec0017f439a6ad7fbf.png)
③若
,则
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc52997e8e7d139cb30eea9bdd71b406.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a5990df94c1e61df16039f30052ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66676a4ba8946c6f8c8ff9e2287aac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202af51f5ebe87ec0017f439a6ad7fbf.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0365f4796822f9772287cbd94f271c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09eeb563830b4802ae817b4da6b69c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
A.①② | B.②③ | C.③④ | D.②④ |
您最近一年使用:0次
2024-06-13更新
|
993次组卷
|
8卷引用:四川省眉山市彭山区第一中学2020-2021学年高二10月月考数学(文)试题
名校
解题方法
9 . 已知三棱锥
中,
为
中点,
平面
,
,
,则下列说法中正确的序号为______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/2052f3d8-db71-4f66-8cd5-3c74dc5dda63.png?resizew=156)
①若
为
的外心,则
;
②若
为等边三角形,则
;
③当
时,
与平面
所成角的范围为
;
④当
时,
为平面
内动点,若
平面
,则
在
内的轨迹长度为2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9b9bb0f509e6f3d30858efb217c1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9b8e7befcb7881c294070175b1a554.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/2052f3d8-db71-4f66-8cd5-3c74dc5dda63.png?resizew=156)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2899e607479d8d1c47d954ae9ebb7144.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbad7ad1465d1c4c177e3321e6ed12a.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4b7b3579e3fca43ead7487c73b62c2.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eea78bf026d76f1cb9cc3dc9349a193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75844725734f498eb983fe76cece2f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
您最近一年使用:0次
2021-09-10更新
|
399次组卷
|
4卷引用:云南省富宁县第一中学2020-2021学年高二下学期第三次月考数学(文)试题
名校
10 . 如图所示的几何体是由正方形
沿直线
旋转
得到的,设
是圆弧
的中点,
是圆弧
上的动点(含端点),给出下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/27/6c4c8853-4a80-4c84-add3-ce8c3e4a5be5.png?resizew=151)
①存在点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4514b6d7e2c6fb9e8a0d83768db7ffe8.png)
②不存在点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab349a4b810b3b0bbed7b4cb5a1a008.png)
③存在点
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb10d645970e5860afd3430957fab6c.png)
④不存在点
,使得直线
与平面
的所成角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
其中,所有正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8192018a58bb1fe23769a48a4d9042ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb53e0fdf3ebeb96e4f69feacbd80e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/27/6c4c8853-4a80-4c84-add3-ce8c3e4a5be5.png?resizew=151)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4514b6d7e2c6fb9e8a0d83768db7ffe8.png)
②不存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab349a4b810b3b0bbed7b4cb5a1a008.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8801e1441e6dff0f8880179db56cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb10d645970e5860afd3430957fab6c.png)
④不存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb10d645970e5860afd3430957fab6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
其中,所有正确结论的序号为
您最近一年使用:0次