解题方法
1 . 已知定义域为R的函数
是奇函数.
(1)求实数
的值;
(2)判断
的单调性,并用单调性的定义证明;
(3)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6e0d4adfd4241066ae36371cd1855.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b4218f00da487d3f63b9360144708f.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28419afaef39c3de4bd510d403ebd05d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8517e049ef60f5e04d6e0efa8002fd12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b9e6ce6add9ef53f016755858590eb.png)
您最近一年使用:0次
2024-01-02更新
|
774次组卷
|
2卷引用:山东省临沂市第十八中学2023-2024学年高一上学期期末模拟数学试题(二)
名校
解题方法
2 . 已知函数
满足:对
,都有
,且当
时,
.函数
.
(1)求实数m的值;
(2)写出函数
的单调区间(无需证明),若
,且
,求x的取值范围;
(3)已知
,其中
,是否存在实数
,使得
恒成立?若存在,求出实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c68e603ad17bf72634d2cc6d785ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c12ba38f52af2eaf4ca33d35f1ffa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c69e69355b35dc46696d48aa709b98.png)
(1)求实数m的值;
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224c6ef3639371366a157606da5a046f.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1cc53d15c6794e789d72f76b5c1d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de535172010550ecee49cfcbfd752897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
(
).
(1)用定义证明函数
是增函数;
(2)若
,且存在实数
,使得不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd492d001a460384ca5c5ad7211561f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c147912d6afbf3ec3d1576198bb2bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-27更新
|
208次组卷
|
2卷引用:山东省青岛平度市第九中学2023-2024学年高一上学期12月月考数学试题
名校
解题方法
4 . 已知函数
是定义在
上的奇函数.
(1)求实数b的值;
(2)写出函数
的单调区间(无需证明);
(3)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974770b6b4adda2888dcaf2ab31da09c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(1)求实数b的值;
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5d080c6b45db5b5658f162b6812ed5.png)
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名校
解题方法
5 . 已知函数
(
,
为常数,且
),满足
,方程
有唯一解.
(1)求函数
的解析式;
(2)如果
是
上的奇函数,求
的值;
(3)如果
不是奇偶函数,证明:函数
在区间
上是增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2fc102eefee36185e3863b742df6290.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/9a68dbd91d6de68b550a5745ecd461d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9da4fdfdddc259dcef9fdd4b826b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499109aa338f9c5da30ae0a590809f3b.png)
(3)如果
![](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/cd3b2798c6a26d02c5d2c8b1355c8c30.png)
您最近一年使用:0次
2023-12-24更新
|
156次组卷
|
2卷引用:山东省临沂市沂水县第一中学2022-2023学年高一上学期期末线上自主测试数学试题
解题方法
6 . 已知函数
是定义域为
的奇函数.
(1)求实数
的值;
(2)判断
的单调性(不需要证明);
(3)若存在
,使
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63e4ea615b07bd813446d19063b30c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6160880daa2b7f329c96b549e3deafb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fc9da283c299b38d8eadc2acc7e5fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
7 . 已知函数
(
),其中
.
(1)若
,求函数
的最小值;
(2)若
,讨论并证明函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0d18a0a39f1dc23e382f5fc762635b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d0b969f58a09dff5c32b43219e2080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
8 . 已知函数
是定义域在
上的奇函数.
(1)求a,b;
(2)判断
在
上的单调性,并予以证明.
(3)函数
,若
在
上的值域是
,求m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab2ed5ecd6f2d84cee60e8528d7a0ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
(1)求a,b;
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b417f6df7b94be3ac9509bc69fd775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
您最近一年使用:0次
解题方法
9 . 已知函数
的图象关于原点对称.
(1)求实数m的值;
(2)用定义证明函数
在定义域上的单调性;
(3)设函数
(
且
)在
上的最小值为1,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662ac65a8888d53333b6e90457dc389.png)
(1)求实数m的值;
(2)用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75ed4daf6da6d321b53223bee9c47f1.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/1bc230ebb8474891d4994e868417b88d.png)
您最近一年使用:0次
解题方法
10 . 已知定义域为
的偶函数
满足:当
时,
,且
.
(1)求
的解析式;
(2)用单调性的定义证明:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2719a19dbf95579ec07899e870fead7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1982786864f37e6f954e8d70f9970620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f247866d4020ed309d4e4d121ce445.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用单调性的定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
您最近一年使用:0次
2023-12-15更新
|
162次组卷
|
2卷引用:山东省青岛市西海岸新区2023-2024学年高一上学期期中考试数学试题