名校
1 . 已知向量
,
,
,若
三个向量共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b014d00c7730189d08d0af9ac76f465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62db793887f54878fd020cd5d09811d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9acbd3d31d44fd6b76987baa09d9105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2024-06-05更新
|
137次组卷
|
2卷引用:河北省衡水市郑口中学2024届高三第三次质量检测数学试题
名校
2 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bf77c7d1d6c962297fe7d7622ac2f8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb885a5b92767aa3dd7b3ca28c3488ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bf77c7d1d6c962297fe7d7622ac2f8.png)
您最近一年使用:0次
2024-04-01更新
|
185次组卷
|
3卷引用:河北省石家庄市精英中学2023-2024学年高二上学期第一次调研考试数学试题
名校
3 . 如图,在直三棱柱
中,
为
上一点,
为
上一点,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cfb29a198dc193ba29b03646d5d62c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298385f1950bd1712e311c6af3d7dfa3.png)
A.直线![]() ![]() |
B.异面直线![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-01-25更新
|
158次组卷
|
3卷引用:河北省郑口中学2023-2024学年高二第三次质量检测数学试题
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4 . 已知点
,且四边形
是平行四边形,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4fc4a6855eb8ae75e2758c9f7de4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-25更新
|
111次组卷
|
5卷引用:河北省石家庄市精英中学2023-2024学年高二上学期第一次调研考试数学试题
名校
解题方法
5 . 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)
您最近一年使用:0次
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6 . 在空间直角坐标系中,已知向量
,点
,点
.若直线l经过点
,且以
为方向方量,P是直线l上的任意一点,O为坐标原点.
(1)求证:
;
(2)当
,且
时,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba436b158708e7325885fea7106e92b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832b5312310a88bef6596496df8daa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfcaf2a345411411cf94422703e9269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d71d1e5f816103a951d6ebf10af047b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f0582d9908f92f14cb02a6ccaf0eae.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1965236b071589fcdd33364bb0a92d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db835cce1e68a580450593b3905e5d8.png)
您最近一年使用:0次
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解题方法
7 . 如图,在棱长为1的正方体
中,
,
,若
平面
,则线段
的长度的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f2a029e10b8b765b964e330de5a878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbb7dc1b7946f9f04fdcdf08fb2b75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知向量
,则下列向量中与
共面的向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c3570edc423a5bb523f0925bed89a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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9 . 如图所示的三棱锥A-BCD中,令
,
,
,且M,G分别是BC,CD的中点,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381985fdee6a1ac3ad4a73f5f653b84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc09d87cf940d0e0c1f7ce6640b15fd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-04更新
|
215次组卷
|
2卷引用:河北省武安市第三中学等校2024届高三上学期期中联考数学试题
名校
解题方法
10 . 三棱锥
中,已知
,
,
,则平面
与平面
所成的锐二面角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65639672f444b3d4dc6fc4f357ddbd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce06dbe9e1177468781ba4aff85ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5469318165ce841ae6d790b8cb4b343c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecfe1bf6f7bfe17f9bd28e97b0147f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次