解题方法
1 . 如图所示,正方体
中,
,点
在侧面
及其边界上运动,并且总是保持
,则以下四个结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/366daca6-f35e-412a-b0ee-fb2a1fcfb6a8.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbcdb9f641a2b3e06e0a01c79420667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/366daca6-f35e-412a-b0ee-fb2a1fcfb6a8.png?resizew=161)
A.![]() | B.![]() |
C.点![]() ![]() | D.![]() ![]() |
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2 . 在四面体
中,点
分别为线段
的中点,若
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/18042eb0-1f4f-4ef5-90fe-ce342549896a.png?resizew=156)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881ec4ef24907683dd46062e5ff149c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9dda0dd9f20ab49de6bd5cf6297f9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/18042eb0-1f4f-4ef5-90fe-ce342549896a.png?resizew=156)
A.![]() | B.1 | C.![]() | D.![]() |
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3 . 如图,平行六面体
的各棱长均为
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/7290a519-c42b-43fa-a162-34173a9f6628.png?resizew=219)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05854dd09ec287cf9565d2be7cbe1eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf78c3119d4acaa96969c64fdf675be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/2/7290a519-c42b-43fa-a162-34173a9f6628.png?resizew=219)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知命题:
为假命题,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249619b8d12335cbd59d4c8b792f3b2d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-02更新
|
170次组卷
|
5卷引用:广东省清远市五校2023-2024学年高一上学期期中数学试题
5 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd03dd8befc6edc0f4d1c605defd0453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
A.61 | B.![]() | C.13 | D.![]() |
您最近一年使用:0次
解题方法
6 . 如图所示,在正四棱柱
中,
是
的中点,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/52ecc4bc-cc89-41bb-8a07-50cc943ad228.png?resizew=117)
(1)求
到平面
的距离;
(2)在棱
上是否存在一点
,使二面角
为
?若存在,建立适当坐标系,写出
点坐标,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287d3e6e2428f1be7064d1c895c54cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/52ecc4bc-cc89-41bb-8a07-50cc943ad228.png?resizew=117)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb304d905125170bebfada27e7ed8960.png)
(2)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2a24c438338831ff1089361185f375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解题方法
7 . 如图所示,在底面是矩形的四棱锥
中,
底面
分别是
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/f2a1e91c-ba14-42a2-a2e9-68b90402085e.png?resizew=164)
(1)求
两点间的距离;
(2)求证:
平面
;
(3)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bf40f6235d0231481c2598e2ba977b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e7344dca1e40bf072371ddd5640111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee510d749b7de1151bb3b712ee8affce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/f2a1e91c-ba14-42a2-a2e9-68b90402085e.png?resizew=164)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6640bb4ae84c81b1cce121cf072ea00f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(3)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
您最近一年使用:0次
8 . 已知向量
且
共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17f1ebbcec8ad4e53fd4e5b4de4cf8a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58eeaff07002fe02c789c7d5c81a15cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17f1ebbcec8ad4e53fd4e5b4de4cf8a.png)
您最近一年使用:0次
2023-11-15更新
|
179次组卷
|
2卷引用:广东省清远市四校联盟2023-2024学年高二上学期期中数学试题
名校
9 . 已知向量
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894c2054da93848a97a6a146991a0c71.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-15更新
|
164次组卷
|
7卷引用:广东省清远市四校联盟2023-2024学年高二上学期期中数学试题
10 . 已知空间向量
,且
,则向量
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ac0b84a5930267c10c007e8f009eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5d2e176efcf02e085b011c35eeb4e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-15更新
|
160次组卷
|
2卷引用:广东省清远市四校联盟2023-2024学年高二上学期期中数学试题