1 . 已知函数
.
(1)求不等式
的解集;
(2)求过点
且与曲线
相切的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56add7a397d2a4bbe9fc06028dd10d8f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cc67e8c1402be68597c1d59b073bf4.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d55bed96da7c7f4ec234a17043310c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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名校
解题方法
2 . 函数
的一段图象如图所示.
的解析式;
(2)要得到函数
的图象,可由正弦曲线经过怎样的变换得到?
(3)若不等式
在
上恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5c3786c8bf19470b53921b83daeee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)要得到函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10c5b10dad925e54bc3c4a6ab63befd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a5a4cadade891d6485be7eeeb9fed5.png)
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2024-02-20更新
|
1703次组卷
|
4卷引用:江西省宜春市上高二中2023-2024学年高一下学期第六次(3月)月考数学试题
江西省宜春市上高二中2023-2024学年高一下学期第六次(3月)月考数学试题云南省昭通市一中教研联盟2023-2024学年高一上学期期末质量检测数学试题(A卷)(已下线)5.6.2函数y=Asin(wx+p)(已下线)7.3.2 正弦型函数的性质与图象(2)-【帮课堂】(人教B版2019必修第三册)
解题方法
3 . 已知
,函数
,
.
(1)若
,求不等式
的解集;
(2)求不等式
的解集;
(3)
,不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c2b0201b18fbbb50134b9ff82ea3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d88ea6cecc9808b853044e6d76884da.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbed2a8ef0c8d7fe01d5f56d61704cba.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2d8a9433fdf12e45c6056c4c464962.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191e3c845e90f229f3c992aff85b92db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
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名校
解题方法
4 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5881ac3d23a08af2b55d1a901ccb5796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddff9a95efe482689e7702ca3c77eee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfa1a02d2a09be021d3dd8ca593bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-13更新
|
212次组卷
|
5卷引用:江西省抚州市广昌县第一中学2023-2024学年高一上学期期末数学试题
名校
5 . 已知函数
的定义域为集合A,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf64c68a647631e03fab80e05be5d54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ea1be9aa0cc83a4b3344c516b2b4d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc881d5a6f5c8fad4acccc60e89ff445.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/069751d0-d183-4db6-bda1-d936ef131f93.png?resizew=170)
(1)在平面直角坐标系中画出它的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24438824d475f58a8ddcc0e05b599468.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/3/069751d0-d183-4db6-bda1-d936ef131f93.png?resizew=170)
(1)在平面直角坐标系中画出它的图象;
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0dd18467feea8eb478f4669a32c2d57.png)
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名校
解题方法
7 . 已知函数
.
(1)当
时,解不等式
;
(2)若
,
的解集为
,求
最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939b11c9a275adcd01cdf818d11b5cc3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfc27d13b4d07ade4729b481cc95735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd93ee03569849295ebde055410d1b84.png)
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2024-01-27更新
|
486次组卷
|
2卷引用:江西省上饶市沙溪中学2023-2024学年高一上学期期末数学试题
名校
解题方法
8 . 已知指数函数
的反函数为
.
(1)求函数
的解析式;
(2)已知函数
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babb3ff0eabe0651b43db92dcc68c11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92c21afe43b0ed71be8bcffe1983760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35de1e842df1a7c2daa0f75a3abd1c9.png)
您最近一年使用:0次
2024-01-20更新
|
487次组卷
|
2卷引用:江西省抚州市广昌县第一中学2023-2024学年高一上学期期末数学试题
2024高三·全国·专题练习
名校
解题方法
9 . 已知定义在
上函数
同时满足如下三个条件:
①对任意
都有
;
②当
时,
;
③
.
(1)计算
的值;
(2)证明
在
上为减函数;
(3)有集合
,
问:是否存在点
使
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ba4c1c25324a8875b09d0c855a82ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49f899086e636caaed2075a2c7b924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bea6d14c16f7c06e4e028f36131360.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ed85d47b4f488a9b5e211938cc5424.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f82d7c68f10d3b6f065304ec67f160.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(3)有集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f334bd3fdd58a808bba8cacf336c63cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c4bac36d0869c1353b7d97f4f7d022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116b713cd1ae96520d05c54882463f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90526e1357becfdcd1b87caeff7ee032.png)
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名校
10 . 已知关于
的方程
(其中
均为实数)有两个不等实根
.
(1)若
,求
的取值范围;
(2)若
为两个整数根,
为整数,且
,求
;
(3)若
满足
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df5aaad0ade6e7bba2d52a5b5a71674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c8528870cc9de86a2d4adde30911b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f880b35942891d2512247d53030c742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916f4fc53db7d0603fde540c3af51d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef35f2b847ac68b9f339e4d5946881b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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