真题
解题方法
1 . 已知
,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e533b8b204982c7d42001a20b9548a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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真题
解题方法
2 . 下列函数
的最小正周期是
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 若函数
的一个零点是
,则函数
的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9420f3b084d8e6114069cdfcda8cfaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
名校
解题方法
4 . 已知点
,将向量
绕坐标原点O顺时针旋转
得到
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffb38cb0bd52d0dba8628ebcbca4edd.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdfc750fe0ace842a461e89f2b7b290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dd289f71c1c828803e8a2831b99e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffb38cb0bd52d0dba8628ebcbca4edd.png)
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名校
5 . 平面内互不重合的点
、
、
、
、
、
、
,若
,
,2,3,4,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a821e643d5fae24caed0faa6d423dad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df600e75ffb2feda2736d388887ae87a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcbb40b0a6f19ed957473c63b0f9710.png)
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7日内更新
|
52次组卷
|
2卷引用:上海市华东师范大学第二附属中学2023-2024学年高三下学期数学测验卷4
2024高一下·上海·专题练习
名校
解题方法
6 . 已知
均为单位向量,且
,则
与
的夹角的余弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db69ec248c9382eb087b25facfd6a4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb667795acdfafa436ee35e152adbc4.png)
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名校
解题方法
7 . 正实数x,y满足:存在
和
,使得
,
,
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3105e48ecbd0167a1ebc9480d4b6a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0da7936f5bf3c07a3122e9fd1f0ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946a7b7cec9439408d5d3c3a32b15d51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a953ac738380029ff0143c4a4596c62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d4e0ff2f771eb4657193ec1afba3f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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名校
解题方法
8 . 已知向量
、
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ae0d7b3266f32b6a916b6237b6b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b113dc271cf51b3018bd1de14edf73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf524a7234524f7025f01ca9c4c8bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
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9 . 已知函数
.
(1)求函数
的在
上单调递减区间;
(2)若函数
在区间
上有且只有两个零点,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355ccf68073239a76e677558d949432f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3f7f762131c77a3c8440b4a3bc1d12.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431daf06067704cff84b8e31e9afbcd5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f8f19967b1a7f266678e2784905b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b377e28481aeb7cc7f188c77005322af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431daf06067704cff84b8e31e9afbcd5.png)
您最近一年使用:0次