1 . 已知函数
的部分图象如图所示.
的解析式.
(2)当
时,关于
的方程
有两个不同的实根
,且
.
①求
的取值范围;
②求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0f153e044199055eec43c5226c5241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed07a76ec8ea66b7fdb8088098ca9ec.png)
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2024-04-26更新
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263次组卷
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3卷引用:江西省部分学校2023-2024学年高一下学期4月期中考试数学试题
江西省部分学校2023-2024学年高一下学期4月期中考试数学试题(已下线)高一下期末考前押题卷02-期末考点大串讲(人教B版2019)河南省驻马店市新蔡县第一高级中学2023-2024学年高一下学期6月月考数学试题
2 . 将函数
的图象上所有点的横坐标伸长为原来的3倍,再向左平移
个单位长度,得到函数
的图象.
(1)求
的值;
(2)当
时,求
的单调区间和最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34061f2c1e4ba7abcf52b0b8d5813cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b249f1728ab52a463aa8ea766bcb3fcb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df761fa4f63dffa98be64b740d885a1c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5acc6e622083eefa33d27b0931930c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3 . 已知点
在角
的终边上,点
在角
的终边上,
.
(1)求
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e14bb4ae223d1c251c33daca9649824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4b30d216eb3970f44b8cd66e4a131e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b9d1b5b76018dc94976d217e5fa97bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174dfd19dcca199699a46aea1102cce6.png)
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解题方法
4 . 已知函数
(
,
,
),函数
和它的导函数
的图象如图所示.
的解析式;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8665842489bc1b588fa43d34730fd1d8.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/1cd96f7773d92c1706dc09b50d4b25e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f9118a785e2a7cd22a89019798ff0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19be062e4169a627153ad78c093c3af.png)
您最近一年使用:0次
名校
解题方法
5 . 已知集合
,
.
(1)命题p:
,命题q:
,且p是q的必要不充分条件,求实数m的取值范围;
(2)若
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f831c69d09a14b16d13075bed9bad9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e2fcaf126b9cc10688dbdab10ff6e5.png)
(1)命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd170c506a8ce70f550f5751ae016ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45585b87c65bff6a09b09b8d4dc76fef.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
的最大值为
,最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
.
(1)求
、
的值;
(2)求当
时,函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d556d3d193f66f3463786734e0818a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb5ec91b96f7b3af02c37e1e4b74919.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d653de234ea5979cdfdf66b0aec5c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edea4b7d6e9f777f79e54319b3c530d1.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f33062df5d816d6f8af194445c0189.png)
(1)若点
在角
的终边上,求
的值
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f33062df5d816d6f8af194445c0189.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20af7617b581d6b67d3d51709365681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbc7cada2f52172bde879638dbda0ff.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
8 . 已知函数
.
(1)完成上面表格,并用“五点法”作函数
在
上的简图;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c30682b27a6ecf5f145fc66f3669129.png)
0 | |||||
(1)完成上面表格,并用“五点法”作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f96a23757dc485b91a6b78b496922b3.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdabb491742b76e6b880a1d734f0353.png)
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9 . 记函数
,若
,且
的图象关于点
中心对称.
(1)求
的解析式;
(2)求
的单调递增区间;
(3)若函数
的图象在
内有8条对称轴,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bed0c75f0846874c6ebbdf4d26e4ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497a42fcd77d73f1cfcbc07b25d13bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85128194fcfd76486e80991c8540035.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb6ea57859de01aec33830d876ecf1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 已知函数
.
(1)求
的最小正周期和对称中心;
(2)当
时,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af52e54843ed414e50ea6723604dafa4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214fdb36c45964fedec3688ad7683704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次