名校
解题方法
1 . 已知函数
的定义域为A,集合
,全集为实数集R.
(1)求集合A,B;
(2)求集合
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d356003e846491d0cc45743e77d151d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8772c6940fc23138298458baf8b2a0.png)
(1)求集合A,B;
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的定义域是集合A,集合
.
(1)若
,求
,
;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75994d56c70529eb7e624bcc3142f4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b290961b2c1d936eb69b209141e62fd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca18647bd19f05c6ba7ecfa9921c4280.png)
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名校
解题方法
3 . (1)求函数
的定义域;
(2)求函数
的值域;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a8059971e05ba22d987a10cf71f6c9.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef16b5d5155d9b1969fdff46487d6afc.png)
您最近一年使用:0次
解题方法
4 . 建筑设计师需要设计如图所示的窗户,现要求满足:
①
是矩形且
;
②建立如图直角坐标系后,曲线
是二次函数
图象的一部分.记边
的长为
,点
到边
的距离为
(单位:
).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/15/4e6622bc-95e3-4343-aef6-fee327344a5a.png?resizew=177)
(1)求函数
的解析式,并写出其定义域;
(2)
为何值时,
最小,并求
的最小值.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5ebd735b898a67fdf22d52aaf867e8.png)
②建立如图直角坐标系后,曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06bf006d9cf9568dd567c25fd20a0c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57e815c01a412466a6aa12d3e883a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c682f7837ee35031d072a83612c75d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e1c23fe4d0603c8633d37008c3e045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/15/4e6622bc-95e3-4343-aef6-fee327344a5a.png?resizew=177)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c8ca569e742d9eeee3b85f61bd8e17.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d3a8577ce606ef0f1672165b6b3bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d3a8577ce606ef0f1672165b6b3bc4.png)
您最近一年使用:0次
2023-11-15更新
|
61次组卷
|
2卷引用:江西省南昌市第一中学2023-2024学年高一上学期11月期中考试数学试题
名校
解题方法
5 . 已知函数
的定义域为
,集合
.
(1)当
时,求
;
(2)若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdeaabdf6a32d5f5a30f7598a48762a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43dff3a9fee52288752ca54637babe9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
您最近一年使用:0次
2023-11-14更新
|
37次组卷
|
2卷引用:四川省泸州市古蔺县蔺阳中学校2023-2024学年高一上学期11月月考数学试题
解题方法
6 . 已知函数
的定义域为集合A,集合
.
(1)求集合A;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868016e02671f39bef62f332727c75c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44bbfa7624e9598ac12e31a7c8296df.png)
(1)求集合A;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe009ffa37b4a4f48a4c244d399b4a2.png)
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解题方法
7 . 已知函数
.
(1)当
时,求
的值域;
(2)若
的定义域为
,求实数
的值;
(3)若
的定义域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376b7e9e5310a0636d4925d64eda7aab.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
8 . 已知幂函数
的图像关于
轴对称.
(1)求实数
的值;
(2)设函数
,求
的定义域和单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c100bdf459b3c480e6d833b48a5e752b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc272f8510a2cd423027a2bdce58f89a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
9 . 求下列函数的定义域:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b6b04e75bc7ac23823878e93ecf661.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c3f49cd371ea3ffd4133d3ae266242.png)
您最近一年使用:0次
10 . 已知函数
.
(1)求函数
的定义域;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccdd8ae4454a4b7e7566709a8d794a76.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d02059613da3797ae406925b6ee5b3c.png)
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