1 . 正四棱锥
的底面
是边长为6的正方形,高为4,点
,
分别在线段
,
上,且
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/f1ced229-777b-4a22-9abb-d5802d635b43.png?resizew=183)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d260c4df7b0dc180af6980d21f3371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90dd873422a87e6509a30c94ffdc23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc90576a513851cf09cc257d588c1d55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/f1ced229-777b-4a22-9abb-d5802d635b43.png?resizew=183)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137fcdac119eff6ac5990b6d201615df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
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2 . 如图,在四棱锥
中,点
是
的中点,设
,
,
,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/2b383906-4ca6-4fac-b190-6f1bd5a0517a.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ab6779b56dc83768f8338ad9a264f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e437d1fb1191617663cabe78b21d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c08dc1aa540bd965170315258a85c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2e331e5e22fdb7a057526934384c41.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/2b383906-4ca6-4fac-b190-6f1bd5a0517a.png?resizew=175)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 如图,四面体
中,
,
,
,
,
,
分别是
,
的中点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116aa36f6a9332fa772a35c6028f5598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68963a152bb8afd1639340ef0b654a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9fa8832f98b5418a7d75892f7951b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd0c00f62c22e90e7d542a2f8dd83d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/623d18bc-3602-4449-aa84-9a8d5008eecb.png?resizew=165)
您最近一年使用:0次
名校
解题方法
4 . 已知
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea5b6edfd44074e34eb65a6060f02ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aaf830ba8ed8a772923d908ee966e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb9831d997ba2977390ddbb461c311f.png)
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2024-02-04更新
|
1030次组卷
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2卷引用:广东省广州二中2023-2024学年高一上学期期末数学试题
名校
解题方法
5 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc36f1850fb5308496d5a44dcb1bf41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d084735a106e531ecb85ac9852e7c014.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-02-04更新
|
1513次组卷
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2卷引用:广东省广州二中2023-2024学年高一上学期期末数学试题
6 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bf40c42535dc689a1f19508f52a502.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-04更新
|
903次组卷
|
3卷引用:广东省汕头市金山中学2023-2024学年高一上学期期末考试数学试题
广东省汕头市金山中学2023-2024学年高一上学期期末考试数学试题福建省部分优质高中2023-2024学年高一下学期入学质量抽测数学试卷(已下线)1.4-1.5 正余弦函数的图象和性质(1)-同步精品课堂(北师大版2019必修第二册)
7 . 已知
为双曲线
的一条渐近线,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9b769d70cb6f29e965c800921c8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f0df0a241a126481c9ab338b1ce2a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.1 | C.![]() | D.27 |
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8 . 已知双曲线
,则它的渐近线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1a12b2706571f878244175b625755b.png)
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解题方法
9 . 函数
在
上单调递增,则k的取值范围为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e29a631e052d3a682b025e512f0618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b382e6d23b6ec587a8ae097c65207c2a.png)
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解题方法
10 . 要得到函数
的图象,只需将函数
的图象( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36d324465caee9dba8efd173e4ca196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efad7aca90a13cb93d1d5cd398a2e86d.png)
A.向右平移![]() | B.向右平移![]() | C.向左平移![]() | D.向右平移![]() |
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