名校
解题方法
1 . 函数
的图象大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01df863f5bd94b43e25e07d94ce7f73b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-02-14更新
|
722次组卷
|
3卷引用:广东省2024届高三上学期元月期末统一调研测试数学试卷
2 . 如图,在四棱锥
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/4a7c49f8-0822-4b2f-9461-f745b7c35f69.png?resizew=166)
(1)求证:
平面
;
(2)若
,若平面
与平面
夹角的余弦值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6c78a2396201bc322f30cb9dfed796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486ab67c26a2e81304932fe858aa5526.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/4a7c49f8-0822-4b2f-9461-f745b7c35f69.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fbcffdae970048e3ea0ff7472a62b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaf581b4f42a25087f7eee23a7d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5da631296d53a08d56fb5f9bec2376c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
3 . 设函数
,对任意给定的
,都存在唯一的
,使得
成立,则a的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9350f336d001fb55b338411361e649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb306f14d0d13f90a79e985f2bbe773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8194eb338a9493e3a9acf4a62687fbdc.png)
A.![]() | B.1 | C.![]() | D.2 |
您最近一年使用:0次
解题方法
4 . 如图,在直角坐标系中,设单位圆O与x轴的非负半轴相交于点
,以x轴的非负半轴为始边分别作任意角
,
,它们的终边分别与单位圆相交于点
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/a11c83f7-4a15-43e3-9fda-c5c7e25e104a.png?resizew=185)
(1)请在图中作出以x轴的非负半轴为始边时角
的终边
(与单位圆交于点P),并说明AP与
的长度关系;
(2)根据第(1)问的发现,证明两角差的余弦公式;
(3)由两角差的余弦公式推导两角差的正弦公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8950c7bc835103d52ceffab14b6b31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/a11c83f7-4a15-43e3-9fda-c5c7e25e104a.png?resizew=185)
(1)请在图中作出以x轴的非负半轴为始边时角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae97d7f57b159b72a23eb909b74d7c3.png)
(2)根据第(1)问的发现,证明两角差的余弦公式;
(3)由两角差的余弦公式推导两角差的正弦公式.
您最近一年使用:0次
5 . 已知函数
(
,
,
)的部分图象如图所示,与x轴交于点
,且平行四边形
的面积为
,若函数
在区间
上单调递增,则实数m的取值可以是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/20a21d58-de1d-4396-96ee-5a9f593cdd39.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a900435109ab568d713b3b77badd00f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a5bb4946eaa7d297d1a7263a9b90a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef4f919ca20879817ee5d1c25e40ea3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/20a21d58-de1d-4396-96ee-5a9f593cdd39.png?resizew=169)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 函数
(其中
)的部分图象如图所示,先把函数
的图象上的各点的横坐标缩短为原来的
(纵坐标不变),把得到的曲线向左平移
个单位长度,再向上平移1个单位,得到函数
的图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/941a8786-c454-4139-93e5-ba95c02d0c9f.png?resizew=164)
(1)求函数
图象的对称中心;
(2)当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ae6678d22dc7b9125533b2c873b9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14fd82a003d2169031a410c5aa7cce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/941a8786-c454-4139-93e5-ba95c02d0c9f.png?resizew=164)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a018d98a994ceb00b73a6733863bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
您最近一年使用:0次
解题方法
7 . 已知矩形
中
,将矩形沿着对角线
对折,形成一个空间四边形
,当
时,二面角
的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c981faad20094bf95c052d9b1287022f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8866fa331c0f2c7fdb1d36609494773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b470e92207c406905a139b9e0c2fd0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259784d576a060ec0512ea7d1d3b50a9.png)
您最近一年使用:0次
8 . 已知定义域为
的函数
,使
,则下列函数中符合条件的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc10a39f2ab1ac84cf4e035b0fb7e02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92755ed40510a358dcb77392749fd792.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 函数
的函数值表示不超过x的最大整数,例如,
,则函数
的值域是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aacac2cf1dd70cc65b1ca535a32c316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fb246e629f3ccb3b40be50805fec1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a70cdf2c291cc8fcf5163eb7b3ca444.png)
您最近一年使用:0次
10 . 若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d34ac4cc7300b6ed63284f705514541.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次