1 . 已知
是定义在
上的函数,且满足
.
(1)设
,若
,求
的值域;
(2)设
,讨论
(
为常数,
)在
上所有零点的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d75edffb1e86bf1df97a16f1d0a6f7a.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/110c3e340bf99008eb537b2933e82dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88db70cffaef115664914c18deee87b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c410d77654ba5d20a0061e6e01473a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0ac787d88c2bb019e1437f08e1bbf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3671a2c95a100f42dfb09bfc1f65af.png)
您最近一年使用:0次
2023-06-28更新
|
791次组卷
|
4卷引用:湖北省十堰市2022-2023学年高一下学期期末数学试题
湖北省十堰市2022-2023学年高一下学期期末数学试题(已下线)第五章 三角函数(32类知识归纳+38类题型突破)(6) -速记·巧练(人教A版2019必修第一册)(已下线)专题04 三角函数恒等变形综合大题归类 -期末考点大串讲(苏教版(2019))【人教A版(2019)】专题03三角函数(第三部分)-高一下学期名校期末好题汇编
名校
2 . 已知函数
是定在
上的函数,且满足关系
.
(1)若
,若
,求
的值域;
(2)若
,存在
,对任意
,有
恒成立,求
的最小值;
(3)若
,要使得
在
内恰有2022个零点,请求出所有满足条件的
与
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/542f54434f3b4f89ca58deacbc59f83c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f830d86c8c625b2cc9e68bd6ef116c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f830d86c8c625b2cc9e68bd6ef116c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5223ece2f8f76850c49e2505304532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d6cde03a4f2e49579650b7704598a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dffb544ddf83575a81c68bc450cf7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a77f949e1d6cbcefa0e77ba0225c122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0501be47c6bf72d546124cb582d5c455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
3 . 若函数
满足
且
(
),则称函数
为“
函数”.
(1)试判断
是否为“
函数”,并说明理由;
(2)函数
为“
函数”,且当
时,
,求
的解析式,并写出在
上的单调增区间;
(3)在(2)条件下,当
,关于
的方程
(
为常数)有解,记该方程所有解的和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f865658d52dc9a5cff15e6f68d619b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac57a4fb21a142b8037a125c3dc191f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b21ccafa1ea9f2bf63343c1e09069c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6404751e42986a04f33c28167ea2dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be95cb9223378f3d4e3a90edad4f6b9.png)
(3)在(2)条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8aee4194937e6f7ea194b629f5cd05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338316b0fe50fdea0f2f75aec4c990dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-01-07更新
|
2770次组卷
|
7卷引用:沪教版(2020) 必修第二册 新课改一课一练 期中复习A
名校
4 . 定义在
上的函数
,若已知其在
内只取到一个最大值和一个最小值,且当
时函数取得最大值为
;当
,函数取得最小值为
.
(1)求出此函数的解析式;
(2)是否存在实数
,满足不等式
?若存在,求出
的范围(或值),若不存在,请说明理由;
(3)若将函数
的图像保持横坐标不变纵坐标变为原来的
得到函数
,再将函数
的图像向左平移
个单位得到函数
,已知函数
的最大值为
,求满足条件的
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e95c7a4e3c8035ca05485a5645c0811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb17ae5288f12565bb8be5c5cfccfff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff420ca0d6e2e7d434a933cf6c5792b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2390fea4007021aa940827835aa9ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求出此函数的解析式;
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e98270ff8bfa25a9ff3d4c51157cde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda96c08c50e3495200bb200175732e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890527daa24d6782f6da453fb40fe03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
您最近一年使用:0次
2019-10-29更新
|
1880次组卷
|
2卷引用:江苏省苏州市震泽中学2019-2020学年高一(大杨班)上学期第一次月考数学试题