23-24高二上·上海·课后作业
1 . 已知
是平行六面体.设
是底面
的中心,
是侧面
的对角线
上的点,且
,设
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668b7f96888281bb83fe5c96411fc0cf.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545decfe4dd2dcf6f24da7363c1bd023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0f0ccc8492a0ccf1eee24867060643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5757e6c28bc7651d76952457ad889a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ea23c136291a944c73c576a558203a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668b7f96888281bb83fe5c96411fc0cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/f5a26915-7b4a-46da-bba7-3bb81ea59e04.png?resizew=178)
您最近一年使用:0次
名校
2 . 在四棱锥
中,底面
是平行四边形,
是棱
上一点,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
___________ .
![](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/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0250d80679c912a611e1521229cf24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6aab790b71d05eb637c0dd0e78bf3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
您最近一年使用:0次
2023-12-31更新
|
328次组卷
|
3卷引用:3.2 空间向量基本定理(五大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
(已下线)3.2 空间向量基本定理(五大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)安徽省江淮名校2023-2024学年高二上学期12月阶段性联考数学试题江西省部分学校2023-2024学年高二上学期1月期末数学试题
名校
3 . 平行六面体中,若
,
,
,则
=
您最近一年使用:0次
4 . 如图所示,在平行六面体
中,
为
与
的交点,若一组基底为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1b000652db5cf562b3e0711f6a6b7a.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780f5b68f8907a57c1c2f96233a78c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1b000652db5cf562b3e0711f6a6b7a.png)
![](https://img.xkw.com/dksih/QBM/2023/12/21/3394101824905216/3394907847999488/STEM/44fcb7c7f2a2446289d4d3ba4cac17b6.png?resizew=194)
您最近一年使用:0次
名校
5 . 已知
,若
,则
的坐标是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5437f850543536910cc2a1c271312e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12775390b9fb8f742175c95ead65df0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
6 . 如图,在梯形ABCD中,
,
,点
为空间任一点,设
,
,
,则向量
用
,
,
表示为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a14895e4d42943e5a87ba078dd8268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1161e0345b3646c71365430dccbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714e672583f293a4f385bd35accce875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0817b1d42d814047f094dea7b57cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcc9cc1edee22d39995777502be4d53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce36c55a678b2d9da467ffde94b1b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6570cd7c2f81c9fcffd2c64664f1564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d8e782e9687f2e6276a8541ff8dcf7.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在平行六面体中,
,
,E为
的中点,则点E到直线
的距离为
您最近一年使用:0次
名校
8 . 已知空间四边形
,其对角线为
、
,M、N分别是对边
、
的中点,点G在线段
上,且
,现用基底
表示向量
,有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f701bd8ed66d3f4d3304b8cd62e9dec0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9ceae23b51a9407f9962b6328722f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639cdeadbc9e566f81d65a0506823b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b9dda541ca792577227f3014ddc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f701bd8ed66d3f4d3304b8cd62e9dec0.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,各个顶点与对边中点连线,相交于一点,定义为三角形的重心
,此时易得
.类似在三棱锥
中,各个顶点分别与对面三角形的重心的连线,相交于一点,定义为三棱锥的重心G.若设
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed01752720107c196e5738d232666a7b.png)
____________ .(用
、
、
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1341c228b360108b6ae2d5bee95a8ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](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/fbadd77fde781d924b14e6dc57505ccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed01752720107c196e5738d232666a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
您最近一年使用:0次
名校
10 . 如图,空间四边形OABC中,点M,N分别在OA,BC且,若
,则
您最近一年使用:0次