名校
1 . 已知函数
.
(1)证明:函数
在区间
上单调递增;
(2)判断函数
的奇偶性;(不需要证明)
(3)若
时,记函数
的最大值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98348a6484adcce636bb7220a69d8678.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66df733dcc9b6f199e6ba81ca156f075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
是定义在
上的奇函数.
(1)求实数
的值;
(2)判断函数
的单调性并证明∶
(3)求函数
的值域;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56dd0b42bab76334b51a92d0e9329563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
您最近一年使用:0次
2021-12-10更新
|
621次组卷
|
4卷引用:重庆市字水中学2021-2022学年高一上学期期中数学试题
名校
解题方法
3 . 已知
定义域为
,对任意
都有
,当
时,
,
.
(1)求
;
(2)试判断
在
上的单调性,并证明;
(3)若
对
恒成立,求实数
的取值范围.
![](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/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6f5d45adf0314f93a495f037109bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f4d913f0a32801b42918b8101d6a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67795dfbb6c3c1ffc2cc7e1cb579b098.png)
(1)判断函数的奇偶性,并证明;
(2)求该函数的值域;
(3)判断
在
上的单调性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67795dfbb6c3c1ffc2cc7e1cb579b098.png)
(1)判断函数的奇偶性,并证明;
(2)求该函数的值域;
(3)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)判断并证明
的奇偶性;
(2)求
在
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadc384ec9806be07a6b35ef6f3dfe43.png)
(1)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e09848e3fd9666f5da649f791322b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb14f3e03c0d52dec46ea43e9c905187.png)
您最近一年使用:0次