1 . 在三棱锥中,
和
都是等边三角形,
,
,
为棱
上一点,则
的最小值是
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2 . 在平行六面体
中,
是平行四边形
的对角线的交点,
为
的中点,记
,则
等于( )
![](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/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5c30451a305529cbaeddcfaf55a4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a014dff8997c661055229de29c61cfc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,三棱锥O-ABC中,M是BC的中点,
,设
用
表示向量
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf61a6de70565fbf32abe3c53c79312.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6e979e750bebbabd2a5fc706de928f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c515266d44d063e3d18da3bc556f293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2490b8c788fcdec42cb81fae32f9d0e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf61a6de70565fbf32abe3c53c79312.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/cd013d69-34b6-4b0f-8bc3-6f0b486d43ce.png?resizew=146)
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解题方法
4 . 如图,在四面体
中,
分别是
的中点,
相交于点
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68f2c6d854d7ca94f77c0c9ba969dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f758a811b8a2c260431aa7e6a4060987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2b511ab0356abac781a9d768af4529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/acb9a28c-c638-4e0a-9295-0bc943a1957c.png?resizew=170)
A.![]() ![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
5 . 如图,平行六面体
的校长均为3,且
两两向量的夹角都是
,过
的平面
与
分别交于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68873c59a21b0cd408cdf2b47d51096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89992744fb42d976f786bbd7e562770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be3b7305d6c181420ea7b28c420851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6468ff8e4060f4a603b907920c856d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/60cceea0-2ec5-4c8f-b7d0-90e6811d10b9.png?resizew=226)
A.截面![]() |
B.![]() |
C.![]() ![]() |
D.平行六面体![]() ![]() |
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6 . 在三棱锥
中,
,
,
,点
在直线
上,且
,
是
的中点,则下列结论可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420ad6159fc091d6a5ffddf0676d2662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c2e7e9fd8519fd1c293cc577408263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40f8ef7e3af00c41f85a20578afdb57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe72d1b634f1e89d8699e605e7d46af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 如图,在三棱柱
中,D,E分别是线段
,
的中点,设
,
,
.用
,
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658ff9921ff96972b0fc95360bb0c65b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0879a90fdf1c8be67eccfff8fe2c4cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9206f052cc7298fdf9049f9386f53928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df107a0db8e7084e46cbf0edc9dd4878.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658ff9921ff96972b0fc95360bb0c65b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/6d5f40ae-63d4-44bf-8303-0e9a5045899f.png?resizew=151)
您最近一年使用:0次
名校
8 . 如图,空间四边形OABC中,
,点M在线段OA上,且
,点N为BC中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc5343d0ed7b449971c7ba787a621fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe72d1b634f1e89d8699e605e7d46af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-05更新
|
233次组卷
|
3卷引用:山西省运城市2023-2024学年高二上学期期末调研测试数学试题
9 . 如图,在四棱锥
中,底面
是平行四边形,
,若
,则( )
![](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/4b54509386a3872c629f0ed9e92d1bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881491c15de67028d540787b2a252063.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/a779dce3-9950-41f2-a5c7-6b92e25a7be4.png?resizew=178)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-03更新
|
287次组卷
|
2卷引用:江西省2023-2024学年高二上学期期末教学检测数学试题
10 . 已知四面体ABCD,E,F分别是BC,CD的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d627b9a5b268fe69aa466f7c465c5f3f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次