名校
解题方法
1 . 在棱长为1的正方体
中,
是侧面
内一点(含边界)则下列命题中正确的是(把所有正确命题的序号填写在横线上)______ .
①使
的点
有且只有2个;
②满足
的点
的轨迹是一条线段;
③满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
平面
的点
有无穷多个;
④不存在点
使四面体
是鳖臑(四个面都是直角三角形的四面体).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e05241efa370017b863e6e0fe72bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
①使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7facb932529ae0d511d77714cf9e73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac117747fb221b7f976577c5fb824084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
③满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
④不存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90671eb673c449b2b257ca23848f2f4c.png)
您最近一年使用:0次
2022-12-26更新
|
456次组卷
|
3卷引用:陕西省宝鸡市2023届高三上学期一模理科数学试题
名校
2 . 如图,多面体ABCDEF中,面ABCD为正方形,DE⊥平面ABCD,CF∥DE,且AB=DE=2,CF=1,G为棱BC的中点,H为棱DE上的动点,有下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/937a6588-9605-4bea-902b-55f620847fd2.png?resizew=175)
①当H为DE的中点时,GH∥平面ABE;
②存在点H,使得GH⊥AE;
③三棱锥B−GHF的体积为定值;
④三棱锥E−BCF的外接球的表面积为
.
其中正确的结论序号为________ .(填写所有正确结论的序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/937a6588-9605-4bea-902b-55f620847fd2.png?resizew=175)
①当H为DE的中点时,GH∥平面ABE;
②存在点H,使得GH⊥AE;
③三棱锥B−GHF的体积为定值;
④三棱锥E−BCF的外接球的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705a1b850cb8031e4a90b143bb999d8b.png)
其中正确的结论序号为
您最近一年使用:0次
2022-04-08更新
|
2619次组卷
|
9卷引用:东北三省三校2022届高三第二次联合模拟考试数学(理科)试题
东北三省三校2022届高三第二次联合模拟考试数学(理科)试题湖北省武汉市硚口区2022届高三下学期5月训练数学试题山西省山西大学附属中学校2022届高三三模(总第七次模块)理科数学试题(已下线)查补易混易错点06 立体几何-【查漏补缺】2022年高考数学(理)三轮冲刺过关(已下线)第11练 空间直线、平面的平行-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)湖南省长沙市长郡中学2023届高三上学期第三次月考数学试题辽宁省协作校2022-2023学年高二上学期期中考试数学试题湖南省怀化市湖天中学2022-2023学年高三上学期11月月考数学试题辽宁省鞍山市岫岩满族自治县2022-2023学年高二上学期期中数学试题
名校
解题方法
3 . 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:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/75579b14-d042-4f3f-94ed-2310a0e41d23.png?resizew=198)
①存在
,使
;
②三棱锥
体积最大值为
;
③直线
平面
.
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)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/14/75579b14-d042-4f3f-94ed-2310a0e41d23.png?resizew=198)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa2a83fed9bf4cb09d84a980452e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb79f948d408ab4fb6708bde172c5e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b9f96b8ecc3cb000bb2f030809f225.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c70966a318ef8ecf874257f5c5e5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
则其中正确结论的序号为
您最近一年使用:0次
2023-03-13更新
|
364次组卷
|
3卷引用:宁夏六盘山高级中学2023届高三第一次模拟数学(文)试题
宁夏六盘山高级中学2023届高三第一次模拟数学(文)试题河南省许昌市鄢陵县职业教育中心(升学班)2022-2023学年高二下学期期中考试数学试题(已下线)第15讲 8.6.3平面与平面垂直(第2课时)-【帮课堂】(人教A版2019必修第二册)
名校
解题方法
4 . 如图所示,在长方体
中,
,点
是棱
上的一个动点,若平面
交棱
于点
,给出下列命题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/cc4fce1e-276b-4eed-9181-b794bbb34d6d.png?resizew=184)
①四棱锥
的体积恒为定值;
②存在点
,使得
平面
;
③对于棱
上任意一点
,在棱
上均有相应的点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
平面
;
④存在唯一的点
,使得截面四边形
的周长取得最小值.
其中真命题的是_____________ . (填写所有正确答案的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b378805114b83f76fcece53698a28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dce95726804cf91de63f07b37c65da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e92aadc02ae971ed29bb2db51b012f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17230625e72d3a9c6d72ff61019ff61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/cc4fce1e-276b-4eed-9181-b794bbb34d6d.png?resizew=184)
①四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7c649d4bbd61eaef51e529ef9b1204.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bac4ff764651106d9ab46855f20331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7759e75f16985d39b854e45774f06a86.png)
③对于棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c23c66ab7d74f51cb4b79d1029fb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc3e8a1475b983d1a4295db0e16d4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7003aee0b4b85f0fdd48ca9ae5826d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bed42b435afda8e8c47dd0da8e4a1f.png)
④存在唯一的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422676748fd5d893c0e4331fee24e473.png)
其中真命题的是
您最近一年使用:0次
2022-10-07更新
|
342次组卷
|
11卷引用:湖南省邵阳市邵东县第十中学2020届高三下学期模拟考试数学(理)试题
湖南省邵阳市邵东县第十中学2020届高三下学期模拟考试数学(理)试题黑龙江省大庆市大庆实验中学2019-2020学年高三上学期期中数学(文)试题四川省内江市2019-2020学年高二上学期期末数学(理)试题黑龙江省鹤岗市第一中学2020-2021学年高二10月月考数学(理)试题河北省张家口市第一中学2021届高三(衔接班)上学期期中数学试题宁夏银川一中2021届高三第六次月考数学(理)试题(已下线)专题4.5 立体几何中探索性问题-玩转压轴题,进军满分之2021高考数学选择题填空题宁夏银川一中2021届高三第六次月考数学(文)试题四川省成都市第八中学校2022-2023学年高三上学期第一次摸底考试文科数学试题河南省顶级名校2022-2023学年高三上学期12月摸底考试数学(文)试题(已下线)模块三 专题3 小题满分挑战练(3)(人教B)
19-20高一·浙江杭州·期末
名校
解题方法
5 . 如图,矩形
中,
,E为边
的中点,将
沿直线
翻折成
.若M为线段
的中点,则在
翻折过程中,下面四个选项中正确的是______ (填写所有的正确选项)
(1)
是定值
(2)点M在某个球面上运动
(3)存在某个位置,使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
(4)存在某个位置,使
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.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/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/49c45696-902c-4380-a480-fc6d28cf58aa.png?resizew=208)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c2f99ac2b6bc91b983628b68a5cd0d.png)
(2)点M在某个球面上运动
(3)存在某个位置,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2181c78134c310f746eab44b9124e63b.png)
(4)存在某个位置,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c70966a318ef8ecf874257f5c5e5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
您最近一年使用:0次
2020-11-30更新
|
1076次组卷
|
5卷引用:广西南宁市武鸣区武鸣中学2023届高三三模试卷数学试题
名校
6 . 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
|
1364次组卷
|
5卷引用:北京市海淀区2023届高三一模数学试题查漏补缺练习