1 . 在正方体
中,过对角线
的平面与
,
分别交于
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185f35715d7e78b68649eeb261095f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e06e3ed88b967945d9cfc756c53650.png)
A.四边形![]() |
B.四边形![]() |
C.![]() |
D.四边形![]() ![]() |
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2 . 四棱锥
的底面为正方形,
底面
,
,
,
,平面
平面
,
平面
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b624742fe28db114e0554c6c87bff05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5036676ff9363a8356f9d0ee6b6c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c66f38ce2090dab15ac1207c0a65b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64899adb2cc8913ed7d511eade821422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e61111c1e9b98b79615f75540175c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757489b22e7c59387705e75c8d28d902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabd94d9a9bde8d08c35af0b3d02ee3b.png)
A.直线![]() ![]() |
B.![]() |
C.![]() |
D.三棱锥![]() ![]() |
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2024-04-29更新
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3 . 如图,在正三棱柱
中,
为空间一动点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b68c8e30370f61d3e807e51c55f3258.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.存在![]() ![]() |
D.存在![]() ![]() ![]() ![]() |
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4卷引用:山西省长治市2023-2024学年高二下学期3月质量检测数学试题
山西省长治市2023-2024学年高二下学期3月质量检测数学试题(已下线)模块3 第8套 复盘卷(已下线)专题7 立体几何综合问题【讲】重庆市第十一中学校2023-2024学年高三第九次质量检测数学试题
4 . 已知四面体
中,
是
的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bab5731f087bf6fbafbb9bac6324d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 如图,在四面体
中,
,
,
.点
在
上,且
,
为
的中点,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/0b36467a-78c4-4342-b380-cf1093042676.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07dcf0b16163e0e0e0c0f248466ee7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1bfe991bf8ed3609a0e15ce6720d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/0b36467a-78c4-4342-b380-cf1093042676.png?resizew=161)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-01-18更新
|
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4卷引用:北京市丰台区2023-2024学年高二上学期期末练习数学试卷
2024·全国·模拟预测
6 . 在棱长为2的正方体
中,已知
,截面
与正方体侧面
交于线段
,则线段
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f007941953c3b2eea6cbb5bfbf544e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562e708c422060142ee99eda9baca235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.1 | B.![]() | C.![]() | D.![]() |
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7 . 已知
是
的重心,
是空间中的一点,满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/eded1297a93002f3f5c4d0cdd9577ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76263056b7ff5fb421401a5e23919e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53dc167055c0bdbd78061b6c062b35f1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:重庆市第十八中学2023-2024学年高二上学期期末模拟数学试题(A卷)
2023·全国·模拟预测
名校
8 . 如图,直三棱柱
中,
为
的中点,
为线段
上的动点,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd23d99a40b6378a31fccfae692b3c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/1a7d4ecc-38c3-4af5-bf0d-c8313da3bf51.png?resizew=136)
A.不存在点![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() ![]() |
D.平面![]() ![]() ![]() |
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2023·上海·模拟预测
名校
9 . 设A、B、C、D为空间中的四个点,则“
”是“A、B、C、D四点共圆”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63381de1ab082214cf1c20d79211b694.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分也非必要条件 |
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10 . 如图,在长方体
中,化简
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/3087d941-c317-474d-b02a-bdb6db5b47f8.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8bc6d9c3fac3936f6dff5f11f98562.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/3087d941-c317-474d-b02a-bdb6db5b47f8.png?resizew=169)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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5卷引用:山东省春季高考枣庄市2023届高三第二次模拟知识考试数学试题
山东省春季高考枣庄市2023届高三第二次模拟知识考试数学试题(已下线)第01讲 1.1.1空间向量及其线性运算(8类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第一册)(已下线)1.1.1 空间向量及其运算(分层练习)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第一册)(已下线)3.2空间向量与向量运算(同步练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)广东省广州市育才中学2023-2024学年高二上学期期中数学试题