名校
1 . 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![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-08更新
|
459次组卷
|
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(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】
2 . 如图,在四面体
中,
,
,
,
,
,
,M为
的重心,N为
的外心,则
( )
![](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/356dec89411835536e230aa792bd0ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b529582d676cbe4c12bb806db6013f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183ec02812ee8cda06c714eb3cee0ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/3b81533d-a484-46e0-a82e-61c78d7771fc.png?resizew=150)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-03更新
|
193次组卷
|
2卷引用:山西省吕梁市孝义市部分学校2024届高三上学期12月月考数学试题
3 . 如图,在平行六面体
中,
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0c46783b77cce2bd4b45b9acc61884.png)
则
=____ ,
=____ (
,
精确到0.1).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecd2fb9d59e0d9a46ea3062f566ff40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0c46783b77cce2bd4b45b9acc61884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369056cce7ae550158fa9c1c7772da59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bad16b7cdf8c638cd324f5be5d834f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc42fb48159c7259b66a719faa60459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721554f715d299b5e1974e58aae90897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df276e9b9424486d59c747f1227b213c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/c723fe5c-1995-442e-a813-ac30bfc335c9.png?resizew=156)
您最近一年使用:0次
4 . 《九章算术》中的堑堵是指两底面为直角三角形的直棱柱.如图,在堑堵
中,
,M,N分别是
,
的中点,G是MN的中点,设
,
,
.
(1)试用基底
表示向量
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b465a22d8557677d1c5de1aff4129a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3824a940ae3731b7383d2236377d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df107a0db8e7084e46cbf0edc9dd4878.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/13a036bd-44fc-45a0-9241-b8c75cab2d32.png?resizew=158)
(1)试用基底
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5401d7f4a297c8b097e74bdebaaa8570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538c1a9e933bc1e29d785eeda9cd1abc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558ee498c3a515ca95db908ce3b004ba.png)
您最近一年使用:0次
2023-11-09更新
|
96次组卷
|
2卷引用:山西省临汾市洪洞县向明中学2023-2024学年高二上学期10月月考数学试题(B卷)
5 . 《九章算术》中将四个面都为直角三角形的四面体称为鳖臑.如图,在鳖臑
中,
平面
,
平面
,
为
的中点,
.
(1)设
,
,
,用
表示
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9edf677346f7ceba0e70a51395bbf98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/19/133f9b0b-3482-47bc-b382-1a824ab8dd1d.png?resizew=186)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d9ac737639ad7ce99887f9ef07685c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20a9410ceb649e303910f8efe5f7531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ab526047942ab1767de848538d1ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8c53645db602c72b00b599c2c0ff97.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27a1d6706cd035223361c988868dac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2372bef75fa2ba16e360b552fcf6cd.png)
您最近一年使用:0次
2023-10-27更新
|
200次组卷
|
10卷引用:山西省部分名校2023-2024学年高二上学期10月联考数学试题
山西省部分名校2023-2024学年高二上学期10月联考数学试题贵州省遵义市2023-2024学年高二上学期10月月考数学试题贵州省普通高中部分学校2023-2024学年高二上学期第一次联考数学试题辽宁省部分高中2023-2024学年高二上学期10月月考数学试题陕西省西安市昆仑中学2023-2024学年高二上学期10月月考数学试题内蒙古部分名校2023-2024学年高二上学期10月联考数学试题广东省佛山市南海区第一中学2023-2024学年高二上学期第一次大测(10月)数学试题内蒙古自治区第二地质中学2023-2024学年高二上学期10月月考数学试题四川省眉山市仁寿第一中学校南校区2023-2024学年高二上学期12月阶段性模拟测试数学试题广东省深圳市名校2023-2024学年高二上学期期中联考数学试题
名校
6 . 在平行六面体
中,
,
,则
的长( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926720901aaadb0f4556caec51d3eeab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b735c72cfb59b24ec9c4aae288942252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c92b5799d12ea37de46d7c942ce7a9.png)
A.10 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-10-17更新
|
233次组卷
|
2卷引用:山西省晋中市博雅培文实验学校2023-2024学年高二上学期9月月考数学试题
名校
解题方法
7 . 如图,在斜四棱柱
中,底面
是边长为1的正方形,
,记
.
![](https://img.xkw.com/dksih/QBM/2023/10/10/3342973715734528/3344512309739520/STEM/07d74803f6384d7c97e7de6c3528746d.png?resizew=179)
(1)证明:
;
(2)求侧棱
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e42d2046a0e800a6bf082172027612e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfb9769a14ebf5cbc5fa0c06ce96435.png)
![](https://img.xkw.com/dksih/QBM/2023/10/10/3342973715734528/3344512309739520/STEM/07d74803f6384d7c97e7de6c3528746d.png?resizew=179)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa142bb96af98b846997e681609739f.png)
(2)求侧棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
您最近一年使用:0次
2023-10-12更新
|
372次组卷
|
5卷引用:山西省运城市稷山县稷山中学2023-2024学年高二上学期11月月考数学试题
8 . 正方体
的棱长为2,P是空间内的动点,且
,则
的最小值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa01b374f234f46114fee1fa779485cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78aba8818e83c6872966e531a9e3ded.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-09-07更新
|
632次组卷
|
6卷引用:山西省部分名校2023-2024学年高二上学期10月联考数学试题
2023·江西·二模
名校
9 . 在直角
,中
上有一动点P,将
沿
折起使得二面角
,则当
最小值最小时,
为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/7467d3b3-99a0-41d9-920e-850d333a282b.png?resizew=154)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336567101c910fb2854d068a0a52283f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5246d6e8f4b88c424619c835b64bdb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e663220a66eff19da6a71e46b397db2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/11/7467d3b3-99a0-41d9-920e-850d333a282b.png?resizew=154)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
名校
10 . 已知点P在棱长为2的正方体表面上运动,AB是该正方体外接球的一条直径,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
A.![]() | B.![]() | C.![]() | D.0 |
您最近一年使用:0次
2023-04-04更新
|
434次组卷
|
5卷引用:山西省运城市康杰中学2022-2023学年高二下学期3月月考数学试题
山西省运城市康杰中学2022-2023学年高二下学期3月月考数学试题(已下线)1.1.2 空间向量的数量积运算(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)第07讲 空间向量的数量积运算9种常见考法归类(1)(已下线)高二上学期期中复习【第一章 空间向量与立体几何】九大题型归纳(基础篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)模块二 专题1《空间向量与立体几何》单元检测篇 B提高卷(人教A)