名校
解题方法
1 . 如图,正方体
的棱长为1,动点
在线段
上,
分别是
的中点,则下列结论中正确的是( )
![](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/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56afb8c84a2105d525b84b6862a5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7835c72d14f9d61b95b15aa47fafac2.png)
A.![]() | B.当![]() ![]() ![]() |
C.三棱锥![]() | D.直线![]() ![]() ![]() |
您最近一年使用:0次
2024-06-14更新
|
644次组卷
|
2卷引用:重庆市第一中学校2023-2024学年高二下学期5月期中考试数学试题
名校
解题方法
2 . 已知
为两条不同的直线,
为两个不同的平面,对于下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-06-03更新
|
840次组卷
|
3卷引用:重庆市第十一中学校教育集团2023-2024学年高一下学期期中考试数学试题
重庆市第十一中学校教育集团2023-2024学年高一下学期期中考试数学试题四川省成都市成飞中学2023-2024学年高一下学期5月月考数学试题(已下线)11.3.3 平面与平面平行-【帮课堂】(人教B版2019必修第四册)
名校
解题方法
3 . 若
,
是空间两条不同的直线,
,
是空间两个不同的平面,那么下列命题成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 在正方体
中,
分别为
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ce0e22c4edc6ef768e0c12f59e483.png)
A.直线![]() ![]() |
B.直线![]() ![]() |
C.三棱锥![]() ![]() ![]() |
D.平面![]() |
您最近一年使用:0次
名校
解题方法
5 . 已知棱长为2的正方体
,点
是
的中点,点
在
上,满足
,则下列表述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f520e17690e120aaa7dd008559a6b7.png)
A.![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.任意![]() ![]() |
D.过点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-05-09更新
|
1085次组卷
|
2卷引用:重庆市育才中学校2023-2024学年高一下学期阶段测试数学试题
名校
解题方法
6 . 如图,在四棱锥
中,
,
.
为
的中点,
为
的中点,求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43819ab7b268a6293a9251935b594690.png)
平面
.
(2)在棱
上是否存在一点
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
平面
?若存在,请求出
的值:若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef823626a056bd042627305d1d2868f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ad161a2674d823247f0d8236cae1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43819ab7b268a6293a9251935b594690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b9cd695294892681fe88d2c308ac7c.png)
您最近一年使用:0次
名校
解题方法
7 . 如图所示正四棱锥
中,
,
,
为侧棱
上的点,且
,
为侧棱
的中点.
的表面积;
(2)证明:
平面
;
(3)侧棱
上是否存在一点
,使得
平面
.若存在,求
的值;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1804c3641953c30ccf750504eff6577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2883beed42e46f8f379b02ea3b68b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b2ba2a78454b3c560ca893d694a227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(3)侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed728d8fb1c5ad20fb9509345219432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fea0808c7df5a3fa6678ee5406b35b25.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,四棱锥
的底面
为平行四边形,
,
分别为棱
,
上的点,且
,
.
平面
;
(2)在棱
上是否存在点
,使得
平面
?若存在求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02c25b95e61557eec096de150ab873f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5557246ca5d25d82330631afda327feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8ccd4181f956f6e0140bf0ab8f0716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67825108ba67284ae24eb4780ba65531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11e4e5f322180749104338acb15f9ed.png)
您最近一年使用:0次
2024-05-04更新
|
1624次组卷
|
4卷引用:重庆市南开中学校2023-2024学年高一下学期期中考试数学试题
重庆市南开中学校2023-2024学年高一下学期期中考试数学试题江西省南昌市江西科技师范大学附属中学2023-2024学年高一下学期第二次月考数学试卷江西省南昌市江西科技学院附中2023-2024学年高一下学期5月份月考数学试卷(已下线)专题2 以立体几何为背景的各类证明和计算问题【讲】(高一期末压轴专项)
名校
解题方法
9 . 在长方体
中,AB=3,
,P是线段
上的一动点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3829997d8af2e692f030cb359761f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
A.![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() | D.以A为球心,5为半径的球面与侧面![]() ![]() |
您最近一年使用:0次
2022-06-14更新
|
1100次组卷
|
4卷引用:重庆市四川外国语大学附属外国语学校(重庆外国语学校)2023-2024学年高一下学期5月月考数学试题
名校
10 . 在棱长为1的正方体
中,点M是
的中点,点P,Q,R在底面四边形ABCD内(包括边界),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24006d28116bc097933cc90bcc0ea69f.png)
平面
,
,点R到平面
的距离等于它到点D的距离,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24006d28116bc097933cc90bcc0ea69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bfb537a63ec2e7f085c0bb6eb1b2b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fa37bb4761118ea5dcb23a8de9ee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
A.点P的轨迹的长度为![]() | B.点Q的轨迹的长度为![]() |
C.PQ长度的最小值为![]() | D.PR长度的最小值为![]() |
您最近一年使用:0次
2022-04-30更新
|
1917次组卷
|
6卷引用:重庆市渝高中学校2024届高三第七次质量检测(月考)数学试题