名校
1 . 已知
.
(1)求函数
的定义域和奇偶性;
(2)写出
的单调性(只需写出结果即可);
(3)设
,若
,总
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fea3b504a5cc18e603ac2a0376af91.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1187602c09db60d3cd81bc589c82cbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8faf395e9fcfaa02f1bce6277275cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0cae124c867494abdb137607e96695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd584305648283baacc9d04d013eba.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,其中
是自然对数的底数.
(1)判断
的奇偶性,并说明理由;
(2)若关于
的方程
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98348a6484adcce636bb7220a69d8678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)判断
![](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/a1084b6caa375fc59793a2bcd28e1368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-12更新
|
107次组卷
|
2卷引用:四川省南充市南充高级中学2023-2024学年高一下期开学考试数学试题
名校
解题方法
3 . 已知函数
.
(1)判断并证明
的奇偶性;
(2)若关于x的方程
在
内有实根,求实数k的取值范围;
(3)已知函数
,若对
,
,使得
成立,求实数m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2d08cc0467eeb8d4fcf4d876729967.png)
(1)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231ae161170f6e03cc71f17029082335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed3636ebd750003453533da1463036b.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85615caa76462a60af6d3355a2e360b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f7c7436a45148bbb09229b6a1d7b1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7b30adc0f32921bf17384d48ff24db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/935b38d7d3343ab52e2d2fb48f1404f2.png)
您最近一年使用:0次
2023-02-19更新
|
281次组卷
|
3卷引用:四川省南充市2022-2023学年高一上学期期末数学试题
名校
解题方法
4 . 若函数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3bc8293702dddf011492b37993074d.png)
(1)求函数
的解析式;
(2)若函数
,试判断
的奇偶性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3bc8293702dddf011492b37993074d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e1b58c97e868b8bb6950d58efe7f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2022-12-06更新
|
975次组卷
|
5卷引用:四川省南充市西华师范大学附属中学2022-2023学年高一上学期期末数学试题
名校
5 . 已知函数
.
(1)判断函数
的奇偶性,并证明;
(2)用定义证明:
在区间
上单调递减.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c7383b8ff3c7826d31b01251d8d63f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)用定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8065c840ec2313396be36ed5c72c7c95.png)
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2022-11-25更新
|
144次组卷
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3卷引用:四川省南充市营山县第二中学2022-2023学年高一上学期期中数学试题
名校
解题方法
6 . 定义在
上的函数
,满足对任意
,有
,且
.
(1)求
,
的值;
(2)判断
的奇偶性,并证明你的结论;
(3)当
时,
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53329c5598fe527e54320d5cb351240c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab8f89579d7f7e051e76e2df9c68db5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0de67a5a63a0f53fe034bd24da39f0.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a20174e8cdd1a0dcc9c1b53f3cc6d3.png)
您最近一年使用:0次
2021-11-25更新
|
461次组卷
|
4卷引用:四川省南充市高坪区南充市白塔中学2022-2023学年高一下学期期中数学试题
名校
7 .
是定义在
上的函数,对任意非零实数
,
满足:
,且
在
上是增函数,
(1)判断函数
的奇偶性并请证明;
(2)若
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8bd00a1b1c012681aab8513b755cbc.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/ea38ff7b3050c464f0270c4a146d2350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e79070b45fe7c6e6485f164b8be18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb35820db678d8341359a7191b972f9.png)
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2021-10-21更新
|
727次组卷
|
3卷引用:四川省南充市高坪区南充市白塔中学2021-2022学年高一上学期期中数学试题
2021高一·全国·专题练习
名校
解题方法
8 . 已知函数
对于一切
、
,都有
.
(1)求证:
在
上是偶函数;
(2)若
在区间
上是减函数,且有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/348be9faff58a2a65bbfdb6d7d2ea632.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6ffa6fe2387ee19234c2ad0fcb92ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902e1a22915f42469129a8aeb06c8d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 已知函数
.
判断并证明函数
的奇偶性;
判断函数
在定义域上的单调性,并用单调性的定义证明;
若
对一切
恒成立,求实数a的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7303c630de5c3e902f8f2e6a6afcacec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72233bec25b5220b31c9388cbe2d7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
您最近一年使用:0次
2019-03-12更新
|
1396次组卷
|
4卷引用:四川省南充市阆中中学校2023-2024学年高一上学期12月月考数学试题
名校
10 . 已知函数
,对于任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058fbc27ee9654d24ebda3d9e6991266.png)
,都有
, 当
时,
,且
.
( I ) 求
的值;
(II) 当
时,求函数
的最大值和最小值;
(III) 设函数
,判断函数g(x)最多有几个零点,并求出此时实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058fbc27ee9654d24ebda3d9e6991266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0887337b2dd1eeaf6590b8793a720e.png)
( I ) 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc26417df3261088d718f077114276cf.png)
(II) 当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce1876cd7a0b6336da2196c706a20cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(III) 设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819d11c74180ad9228008ddbb4ecbfe.png)
您最近一年使用:0次
2019-02-08更新
|
1444次组卷
|
5卷引用:四川省南充市高级中学2019-2020学年高一上学期12月月考数学试题