名校
1 . 设函数
,若对任意
,都存在唯一的
,使得
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b205c44a76540af4a129e586e62d4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b424bbc2f301c0ce92ed914fd49fa98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728697bd9af445ae7525af9168fdf816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5148c90b6d762234102e5bf5ca4c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2 . 设
,函数
,当
时,
的值域是______ ;若
恰有一个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93955c5a47d255c0990f336a5fc2779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
名校
3 . 已知函数
的定义域为
,若对任意的正实数
,函数
在
上单调递增,则称函数
具有性质
,给出下列四个结论:
①
在
上单调递增,则
具有性质
;
②
具有性质
不具有性质
;
③
具有性质
不具有性质
;
④若函数
具有性质
,且
,则
.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f7740d3e02e7aab4dd7051450fcf33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c784c1a3db40ea4fa7a9aecd75ce93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8257463027787d1b9cd3bfa38443eca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
④若函数
![](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/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4143b9cf28ca41835a39b1692e489b.png)
其中所有正确结论的序号是
您最近一年使用:0次
解题方法
4 . 定义域为R的函数
满足
为偶函数,且当
时,
恒成立,
则
的大小关系为______ .(从大到小排列)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848988f68790e43dc63165b0d2e7abc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4531f8e96fc371f01546325a9f61a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ffc15195be196e8f2398382fd9f959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
您最近一年使用:0次
名校
解题方法
5 . 定义在
上的函数
满足
,且
关于
对称,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20787747d1cf12c7f4028916d62cab98.png)
__________ .(注:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524e95abf6a50e19c040bedb7c2a9a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6214fbda454bf9579c5d0b8142598f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d85538db6f828db8f777c33478d664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20787747d1cf12c7f4028916d62cab98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70884a7621a61388c20811f83621522d.png)
您最近一年使用:0次
2024-02-12更新
|
516次组卷
|
2卷引用:湖北省武汉市华中师范大学第一附属中学2023-2024学年高一上学期1月期末检测数学试题
6 . 已知函数
,若
⫋
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ ,
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2a672cf2f4eee17ce57ef86d820332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40bd0a8d70650c9dec20d536389df965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcec118d7f1de58490039325b3daf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb86e9198d21a055127c3f6b36520fc.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,若对任意
,
,都有
恒成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bb7a145658ffa16536ef70de516465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f55efbff8fb83300014c24228bd68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a141a268c43ffb048feb90db20d17bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
8 . 我们知道,函数
的图象关于坐标原点成中心对称的充要条件是函数
为奇函数,由此可以推广得到:函数
的图象关于点
成中心对称的充要条件是函数
为奇函数,利用题目中的推广结论,若函数
的图象关于点
成中心对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b22082e134e69e3366e4bca4b744a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae84430fcf91ccf2891b092bbd8ebb67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf5c1d124e8e023fe8e8c5ef3412813.png)
您最近一年使用:0次
9 . 已知函数
,(
,且
).若关于
的方程
恰有三个不相等的实数根
,则
的取值范围为________ ;
的取值范围为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156839915641772f546f403a906ddc73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81751937929020ee35fae57e4b8b36e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
您最近一年使用:0次
名校
10 . 函数
有且只有3个零点,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1982363eea0b1c80069d1680759f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次