解题方法
1 . 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
名校
解题方法
2 . 若
是定义在
上的奇函数,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
(1)求
时,
的解析式
(2)若
,求满足不等式
的
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf17adba9dbe4bd1e391ec41e42806b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa14222685793e13fed00756b46be103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
3 . 函数
的单调增区间是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f012ec30cea7ef5c660a9627bc6f99.png)
您最近一年使用:0次
2023-12-15更新
|
618次组卷
|
3卷引用:山东省青岛市即墨区第一中学2023-2024学年高一上学期第二次阶段检测数学试题
山东省青岛市即墨区第一中学2023-2024学年高一上学期第二次阶段检测数学试题北京市十一学校2022-2023学年高一(直升班)上学期第2学段IID教与学诊断(期末)数学试题(已下线)高一上学期期末考点大通关真题精选100题(1)-【题型分类归纳】(人教A版2019必修第一册)
解题方法
4 . 已知函数
满足:
,
.令
.
(1)求
值,并证明
为偶函数;
(2)当
时,
.
(i)判断
在
上的单调性,并说明理由;
(ii)若
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2671f593186fa00f17ad26eba7b8f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db13144a4b27bc76c6ca989423fe95e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6e28dbfcdd6fb66b9ff759be044287.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
(i)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a669b4be098e4e54f5b06d92835f55c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9c7bcef11dcd9a207c7eed2e6eb884.png)
您最近一年使用:0次
名校
解题方法
5 . 设函数
,
是定义域为
的奇函数.
(1)确定
的值.
(2)若
,判断并证明
的单调性;
(3)若
,使得
对一切
恒成立,求出
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2889dcd7359e699493cac47bda278fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3687573b9a457376b00af451efb02b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7d2bb9fd6de312a742ef10c81b9b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
6 . 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
7 . 已知
.
(1)求
的解析式;
(2)试判断函数
在
上的单调性,并用单调性的定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2ef5d32fb1000535fc95878d7e9a26.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1b322a7e2dbe40f17a0f9c61ec4aa.png)
您最近一年使用:0次
解题方法
8 . 已知函数
(
)
(1)判断函数
在
内的单调性,并证明你的结论;
(2)是否存在m,使得
为偶函数?若存在,求出m的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2477453d4900706abd803bba9d85eb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
(2)是否存在m,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532b5af7b88f1c21a7584cfac5fea6c.png)
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)若
,判断并证明
在
上的单调性;
(2)若存在
,使不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04262530a9e4cdddefbc669c96a5c2c1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e5904f8468b553d81e2d95c71c8fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)判断
在区间
上的单调性并证明;
(2)令
,对
,
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8070994d102706c653bea8dcd69a66.png)
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327bf2a573aebdc5bcf8650aa87a8f30.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda591d3909af06eabf6b37c65bfe571.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37b826b65c6f857d57464771831b258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55ab9ac6eab14d06ed90c8706da6f9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f12a48eee043f28054666eabd988a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8070994d102706c653bea8dcd69a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279d654f3f3a6b92d17bc6498ef5466b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次