解题方法
1 . 解下列关于
的不等式
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa69fd545a4526dc2731800fc4996db.png)
(2)已知
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa69fd545a4526dc2731800fc4996db.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c433be8cd1da990804edee973436572.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
2 . 已知函数
.
(1)证明:函数
在
上单调递减;
(2)解关于x的不等式
.
(3)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b39fb4e708d68fd4bc46c390ae484e.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28eb2229f0c99456d4ba65a71ed7a76.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b57ecec16c7aa5002af72b021bdf3bd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
20-21高三上·江西南昌·阶段练习
解题方法
3 . 已知定义在
上的函数
同时满足下列三个条件:①
;②对任意x,
都有
;③当
时,
.
(1)求
,
的值;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fce155963060b2e5b9147a185897cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a1517c16e67f967cd8889ef3eb326a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b72650667e7d829a3810a9ae7ff5975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33cbf016e27b63efaea4063ab4f96c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e520c1ab44faaa476a5f3f6181db0f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e586a3ffe9739106ea07986ebab4d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436e7d1d6606586de4b3ddda21ef5ac3.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142f765205c482b459fcba346f9fb8cf.png)
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解题方法
4 . 已知定义域为R的函数
是奇函数.
(1)求a的值;
(2)判断函数f(x)的单调性并证明;
(3)解关于t的不等式f(3t-1)+f(2-t)<0.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe88f84b5c6f06775f258bcba50af8cc.png)
(1)求a的值;
(2)判断函数f(x)的单调性并证明;
(3)解关于t的不等式f(3t-1)+f(2-t)<0.
您最近一年使用:0次
名校
5 . 已知函数
为函数
的反函数,
,且
在区间
上的最大值与最小值之差为1.
(1)求
的值;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09922f25b97d4aedb83abcdb25f1fdab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c150510740df67c71a515ac305333a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a3a835cbf8074bce17af46e2dd11e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4552c62c958c5954240da381c565d5.png)
您最近一年使用:0次
2020-12-25更新
|
79次组卷
|
2卷引用:山西省长治市第二中学校2020-2021学年高一上学期第二次月考数学试题
19-20高一·浙江·期末
解题方法
6 . 已知
且
,
.
(1)求函数
的解析式,并判断其奇偶性和单调性;
(2)当
的定义域为
时,解关于
的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bd764f2774707a945e3fbda4783f02.png)
(3)若
恰在
上取负值,求
的值.
![](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/5a3fd341ad3f0c90a61e309a6b4ea51f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bd764f2774707a945e3fbda4783f02.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ac3c3e1728e438af10fa15858bed00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a78e6dddfd7481100e46283c69bf70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
7 . 定义在
上的函数
,函数值不为0,对
,都有
,且当
时,
.
(1)求
的值;
(2)证明:
,恒有
;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32eeb830f6a728435a125856491992db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d742d95248b0405a80193874215697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54b6a060d6c51a328341df76013bd89.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e086462acc5cb3ae70137f136b6bce2.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
是定义在
上的函数,对于区间
内的任意两个数a,b都满足等式:
,且当
时,
.
(1)求
并判断
的奇偶性;
(2)证明
是
上的增函数;
(3)若已知
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab668935fa05988e6b4412edd498f234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab668935fa05988e6b4412edd498f234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe7e301f7eed53dc72afbfa44bc8aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab668935fa05988e6b4412edd498f234.png)
(3)若已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0d8163d0b3037cc011721f533bb5a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c56237f62d497776af51ae8633fe65.png)
您最近一年使用:0次
2020-10-19更新
|
256次组卷
|
2卷引用:四川省广元市八二一中学2020-2021学年高一上学期9月月考数学试题
解题方法
9 . 已知定义域为
的函数
是奇函数.
(1)求
,
的值;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b172f4015422c154a6c6183b2c936ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12bd19b966cac88045d6ec0be885e59b.png)
您最近一年使用:0次
解题方法
10 . 已知函数
的定义域为
,对任意正实数
,
都有
,且当
时,
.
(1)求
的值并证明
;
(2)判断函数
的单调性并加以证明;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.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/4741f7c80b3055a315ced62631672b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7fc0a92d344d8885a86f25b5ca7181.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075486ee05b996980db5da6716169084.png)
您最近一年使用:0次