1 . 已知函数
,记
(
).
(1)若
,解不等式:
;
(2)设
为实数,当
时,若存在实数
,使得
成立,求
的取值范围;
(3)记
(其中
、
均为实数),若对于任意的
,均有
,求正数
的最小值及此时
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57b247f50e36ce29e7df748de9c9766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100b7d03fb818096021a893c15bd8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0a2a1ebc67f3f8cf87d6ddc4285168.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ff724f1229820eae0181ccf5b58f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852806e74c9a27b2fb4b353986b1371f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da462d2ddc234e15a783365ccdc9d98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23f9120d617f339e0166f85b9f2507d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
,
,函数
.
(1)若函数
在
上有两个不同的零点,求
的取值范围;
(2)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a48015d2df8d9fd21d576f4381e65ddd.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93f19320977aeecaa8801a82bb2b4d5.png)
您最近一年使用:0次
2021-01-30更新
|
853次组卷
|
5卷引用:浙江省嘉兴市2020-2021学年高一上学期期末数学试题
浙江省嘉兴市2020-2021学年高一上学期期末数学试题(已下线)【新东方】双师149高一下(已下线)【新东方】在线数学102高一上湖北省襄阳市第五中学2022-2023学年高一上学期12月月考数学试题浙江省东阳市外国语学校2022-2023学年高一上学期期末数学试题
3 . 已知函数
,
,
.
(1)若
,试求不等式
的解集;
(2)若
,求函数
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd2db5c1c80ce5734608b808ec68782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098fb964d45dd0eeda6e169975b6e373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb791f300042a6ccbd84957d98cce9d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfe27c437b42ad27da80665302853df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7225c625819b7bfeb393a377ec2d74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d0b969f58a09dff5c32b43219e2080.png)
您最近一年使用:0次
解题方法
4 . 已知函数
,
,设
的最大值为
,若
的最小值为
时,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bbfff3e69f32bf56e006ed6f1052a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知函数
,
,
.
(1)若
且
,求函数
的最小值;
(2)若
对于任意
恒成立,求a的取值范围;
(3)若
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caf74cdf863f5c4748b5845cd54890f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac40cf3e1b44e9e30c8c89feb0a6575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01d868c8b9801b82e4e6eb95748c210b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e653994b245fbdc2ac3458429c65e69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef704e07b736684e602293720ec65ec6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d978e4e41c7b382a640d8c548e8ccb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1e861123e7c5ce134367b63a11a953.png)
您最近一年使用:0次
名校
6 . 设
,若不等式
恒成立,则实数a的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e478e3ee1da743369fb6898089128b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-09-12更新
|
4209次组卷
|
11卷引用:浙江省湖州市2018-2019学年高一下学期期末考试数学试题
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