1 . 若函数
为幂函数,且在
单调递减.
(1)求实数
的值;
(2)若函数
,且
,
(ⅰ)写出函数
的单调性,无需证明;
(ⅱ)求使不等式
成立的实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4363e72db9ff107cc9088b9d2a2685be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b2c2c021798d9cad33114fdaa98540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
(ⅰ)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(ⅱ)求使不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14b4f9432ad82e5ecc9e2a4d16d0e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
解题方法
2 . 已知
,函数
.
(1)当
时,求函数
的定义域;
(2)若关于
的方程
的解集中有且只有一个元素,求实数
的取值范围;
(3)设
,若
,使得函数
在区间
上的最大值与最小值的差不超过1,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c76ef2d9b6ad8530682811ada6c1e4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a19f229fae6b755b76bdacf200c4d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1326beb4653dd170d1d7878e351598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8682c07954e4ba88e5766b1e005f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 已知二次函数
,
.
(1)若函数
是偶函数,求实数
的值;
(2)若
,求不等式
的解集;
(3)若函数
在区间
上具有单调性,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4bc22c9795dd0dc317cc6ab96550f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530e48690edc3429da2d23c25151296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知
,
.
(1)求
,
的值;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d3dad095027475b0d53fb7f4e7cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5c9dd749202f50f605cc804bedbe1f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48345d239aaf8e9ca1ff2846c08a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c5a05a11f731194a845e68a0479ce4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14f0e92fa8665fb14d8843981319715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba9745c01bcc7c3b62a4ee6dd60a3a.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,且
.
(1)求实数m的值;
(2)根据函数单调性的定义证明
在区间
上单调递增.
(3)若
,求
值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f53fb7e06388eefea683bd5fe86106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
(1)求实数m的值;
(2)根据函数单调性的定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
6 . 已知函数
,
.
(1)求
的单调递减区间;
(2)求
的最大值、最小值,并分别求出使该函数取得最大值、最小值时的自变量x的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc79e4e88c33ccdb811c5715f422371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cad74d23e6f581aef7dac0153c94dd8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba80365bfc518351c0c66ab7e2f14e27.png)
(1)求
的定义域;
(2)若
,
,求
,
的值(结果用含a,b的代数式表示);
(3)若函数
求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba80365bfc518351c0c66ab7e2f14e27.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0641068fdf9de4d868de9f9defd4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4686efb271cd025e282547c4b2a6edd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e215cb47345887b6320c4914b9682e06.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893a3c0f289c766c42051f4961e000d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c31d3c42dffec798d9eae6b1239950b.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
为奇函数.
(1)求实数
的值;
(2)求关于
的不等式
的解集;
(3)设函数
,若对任意的
,总存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18427b4e912bb1037378e3d8a49ce41d.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea998345984b6d1bbffa1e667365ed6.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fefc4e600a5331b9c34f4bf569d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8a22408b9f93493f54bd6a94b57d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c58890dbb803accb289676f61d0c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-25更新
|
519次组卷
|
2卷引用:天津市重点校联考2023-2024学年高一上学期期末考试数学试卷
解题方法
9 . 某地区上年度电价为0.8元
,年用电量为
,本年度计划将电价下降到0.55元
至0.75元
之间,而用户期望电价为0.4元
.经测算,下调电价后新增用电量和实际电价与用户的期望电价的差成反比,且比例系数为
(注:若
与
成反比,且比例系数为
,则其关系表示为
).该地区的电力成本价为0.3元
.
(1)下调后的实际电价为
(单位:元
),写出新增用电量
关于
的函数解析式;
(2)写出本年度电价下调后电力部门的收益
(单位:元)关于实际电价
(单位:元
)的函数解析式;(注:收益=实际电量
(实际电价-成本价))
(3)设
,当电价最低定为多少时,仍可保证电力部门的收益比上年至少增长
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d98d43b4d4f7c618731a21e1a7d1153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f5919d0a77f348e0973f148bc2dc17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
(1)下调后的实际电价为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)写出本年度电价下调后电力部门的收益
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c110c151b9da7bf4ab263c66e49da6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f61eaee66b6f9128db1088ec3af55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee628efd6b2f7296c106dd5cbae42f.png)
您最近一年使用:0次
名校
10 . 函数
.
(1)求函数
的最小正周期及单调递减区间;
(2)将函数
的图象先向左平移
个单位长度,再将所有点的横坐标缩短为原来的
(纵坐标不变),得到函数
的图象.当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737dcccd370842cfb0ee2d0f4aa67587.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0a5133b8460df6c46da0e44051e2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
2024-01-25更新
|
1106次组卷
|
3卷引用:天津市重点校联考2023-2024学年高一上学期期末考试数学试卷
天津市重点校联考2023-2024学年高一上学期期末考试数学试卷(已下线)河南省新乡市封丘县第一中学2023-2024学年高一下学期开学考试数学试卷广东省珠海市第二中学2023-2024学年高一下学期第二阶段考试数学试题