1 . 在三棱锥
中,
和
都是等边三角形,
,D为AB中点,则
的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa9fa88d321bc55ca505771d77dc405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1605925e08c31d30c193c4321aacba26.png)
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解题方法
2 . 各棱长均为1且底面为正方形的平行六面体
,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6660dbf8615c2a0dda71f6d9f395c1a5.png)
______ ;此平行六面体的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecbca919bff5a39a99dd7f867dd61f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6660dbf8615c2a0dda71f6d9f395c1a5.png)
您最近一年使用:0次
2024-01-18更新
|
1187次组卷
|
5卷引用:云南省昆明市第一中学2023-2024学年高二下学期3月月考数学试卷
名校
解题方法
3 . 如图,在三棱柱
中,
,
为
的中点,E为
的中点,
和
相交于点P,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc2ddabf078c1b683b067eb1aee1969.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e141fbf1a87b34f062bf4518498deebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07efb4fa33e8e75784eed4a584e10f1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc2ddabf078c1b683b067eb1aee1969.png)
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4 . 如图,
为矩形
所在平面外一点,且
平面
,
、
分别为
、
上的点,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3c519fd163df72a7937e4e1952e675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8f2b0c52b2b95b06aa6ec2127950bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e8f7b44633a4a70388d264ad509322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/29/92a72c8d-b7b6-4bfa-9fa8-f7231be824fd.png?resizew=177)
您最近一年使用:0次
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5 . 如图,平行六面体
各条棱长均为2,
,
,则线段
的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a674aa2ce5caabcad5abe65b5402ce6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/057d9871-729c-4ac4-a8ae-9cd23b9f8d4b.png?resizew=226)
您最近一年使用:0次
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6 . 四棱柱
的底面
是正方形,底面边长为2,侧棱长是3,
,则对角线
的长为__________ .
![](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/39fdd41f2dce43e9f022811dc9958009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
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7 . 在正四棱锥
中,若
,平面
与棱
交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3bbb7c462ea4bf5e74477454b7cdc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9247bc3857c75fad272a68dc521399d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2024-01-05更新
|
224次组卷
|
2卷引用:广东省两阳中学等校2023-2024学年高二上学期12月联考数学试题
名校
8 . 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: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
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(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)
名校
9 .
是空间的一个基底,向量
,
是空间的另一个基底,向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43208c7885ae4d4763c7d7f5df84fe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8849793d8eda2960812663508eff800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83ac36246de88060f1b8cc2b47b3067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50c44ed400530c1c986047ac713d337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
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解题方法
10 . 如图,在三棱锥
中,
,点
在线段
上,且
,则直线
与直线
所成角的余弦值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c65156d88c8787bf697d6c4fd8f21e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0cf3de61b5492989ae2002e19de770a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2023/12/23/3395591015309312/3396069057093632/STEM/bf147f21eb464843ab74887eb976a6df.png?resizew=177)
您最近一年使用:0次
2023-12-24更新
|
830次组卷
|
4卷引用:湖南省长沙市第一中学2023-2024学年高二上学期第二次阶段性检测(12月)数学试题