1 . 已知函数
的定义域是
,若对于任意
,都有
,且
时,有
.令
.
(1)求
的定义域;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63cb59d5f3eb16beb379672fde5f170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](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/eee3a00fbaf95e5647c79000f4c2eae5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
您最近一年使用:0次
2 . 已知
.
(1)求函数
的表达式;
(2)设函数
,求
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a388c29fa9b3db53aa6d211a2d1b7384.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684ad28f65278a86da53d2e8174affe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
2024-01-26更新
|
230次组卷
|
3卷引用:广西壮族自治区河池市2023-2024学年高一上学期1月期末数学试题
3 . (1)求函数
的定义域;
(2)已知函数
的定义域为
,求函数
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c13a119ddf1becce1462f5d6daa0db7.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2850764459f4cca23c9c21fe1d8879f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef92b17d434de42760c945f359fb9c91.png)
您最近一年使用:0次
名校
解题方法
4 . (1)已知函数
的定义域为
,值域为
,设
,求
的定义域和值域;
(2)已知函数
是定义在
上的减函数,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337a23f9bf790be6e03b88fb2d03f18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f589557d5341b2e280983baaf7f25f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf93a69b423cb43904c3671cec1ac7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edafe6ee35f6292c856dda85dc0e265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
5 . 已知函数
的定义域是
,若对于任意
,都有
,且
时,有
.
(1)令
,求
的定义域
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b9676b221e3f25206444afeb77c698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa901949b8294aa95d3bec25b990543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450868427afd4832db685d1d3516c0fc.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17af43cc460a6a7010d51a0c9403d67.png)
您最近一年使用:0次
6 . 求下列函数的定义域:
(1)
;
(2)已知函数
的定义域为
,则函数
的定义域.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c13a119ddf1becce1462f5d6daa0db7.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79004e4a4742d45bfef9935187c0660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570df03fef42aece12560212ba3a64e0.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,设
.
(1)若
的定义域是
,求函数
定义域;
(2)若
,求函数
解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b430b8c27785b3b823c6d3b66cce4e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e635f49a4536dca4f0843b0e38349f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
8 . 已知函数
的定义域为
,求函数
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3897f560d46b73287ca445f054f5c6.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,求
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a1f4b0f015e786eecdd7479ded85fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18377150b1ced455e66c9054f7305379.png)
您最近一年使用:0次
10 . 已知函数
的定义域为
.
(1)求
的定义域
;
(2)对于(1)中的集合
,若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc68d2c84f552570e73ebb1b14f572c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b58fabbd9f980cc5b3c54e1e6aa060d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)对于(1)中的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a348e1ffe1579492a3fdcf09b0696e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e744f5e42b00dbfc1ff1430fc712ddf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次