名校
解题方法
1 . 已知函数
.
(1)求函数
的值域;
(2)若关于x的不等式
对任意的
恒成立,求正实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e6963930e7b091d93de832c782918a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e91c57ed9f1b1cf965ca761e9f32e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
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2023-12-18更新
|
505次组卷
|
3卷引用:江西省上饶市婺源县天佑中学2023-2024学年高一上学期12月考试数学试题
江西省上饶市婺源县天佑中学2023-2024学年高一上学期12月考试数学试题福建省漳州市华安县第一中学2023-2024学年高一上学期第二次(12月)月考数学试题(已下线)高一数学上学期第三次月考模拟试卷(第1~6章)-【题型分类归纳】(苏教版2019必修第一册)
名校
解题方法
2 . 已知函数
,
为实数.
(1)判断函数
的单调性,并用定义证明你的结论;
(2)若
为奇函数,求实数
的值;
(3)在条件(2)下,若对任意的
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778e6cb7a7a2f89d0db4308b90828cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)判断函数
![](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/0a6936d370d6a238a608ca56f87198de.png)
(3)在条件(2)下,若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff3c00e26c2fe647ee40274bb0aad58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-12-17更新
|
585次组卷
|
3卷引用:江西省上饶市广信二中2023-2024学年高一上学期期中数学试题
名校
解题方法
3 . 已知幂函数
在
上单调递增,函数
.
(1)求m的值;
(2)当
时,记
,
的值域分别为集合A,B,若
,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fe5a5423ce135a39396860eff57b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c4fb81c019473f1df0b32f24b23143.png)
(1)求m的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
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2023-12-16更新
|
167次组卷
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3卷引用:江西省上饶市婺源县天佑中学2023-2024学年高一上学期12月考试数学试题
4 . 利用基本不等式求下列式子的最值:
(1)若
,求
的最小值,并求此时x的值;
(2)已知x,y>0,且x+4y=1,求xy的最大值;
(3)若
,求
的最大值.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9929b4a95df4cb001be158a1600ae5e4.png)
(2)已知x,y>0,且x+4y=1,求xy的最大值;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fecaefda8567646f10d76668293d845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39573e26329047fc9bfed680e7328512.png)
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解题方法
5 . (1)比较
和
的大小;
(2)已知
,
,求
和
的取值范围;
(3)已知
在
上恒成立.求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d72c65aaf86dc6b4f8f80d9f3794d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7491422e66d355cbfe7d1c299a0ab73d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d712e5dc451ae02ef4442ba59fb25a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3547119aa7f2c5d4fd1573d84724d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9891729c6c6441611f4d2fcda5e41ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
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6 . 解下列不等式.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff891ffda9b039f01cdd58153870f9f.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef99608dd5bee4bfb83494af9912f4e.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff891ffda9b039f01cdd58153870f9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef99608dd5bee4bfb83494af9912f4e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a655be2d2c7092f0cdf9de848d80c.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
是
上的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/030d345a-e2a9-4d8d-b45e-8aa67ed20c3c.png?resizew=217)
(1)求函数
的表达式,并在所给的直角坐标系中画出函数
的图像;
(2)若函数
在区间
上单调,求实数
的取值范围.
![](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/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d458e5d3a0c2b80ae6a1db2bf09a51.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/030d345a-e2a9-4d8d-b45e-8aa67ed20c3c.png?resizew=217)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c711c9e810899e0b1c2c537066aa4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dc204f152242b43a50892288dc95a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b12f2ff24c52fded1dfd0f0b6940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d689474f16ddaf4b2c97e39c18c198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-16更新
|
528次组卷
|
3卷引用:江西省部分学校2023-2024学年高一下学期3月月考数学试题
9 . 已知二次函数
,解决下列问题
(1)求该二次函数的对称轴、顶点坐标;
(2)画出二次函数图象,并且求出
时x的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4dcfc63a76df95b03bacf75b2b052a.png)
(1)求该二次函数的对称轴、顶点坐标;
(2)画出二次函数图象,并且求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
且
,
.
(1)求
;
(2)判断函数
的单调性;
(3)对于
,当
时有
,求
的取值范围.
![](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/ed42928dc0b7db254dc7474340b658d6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab87accf1942ab80def96d12ef173163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8cb4912cec4b5730f074d29743d4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-15更新
|
192次组卷
|
2卷引用:江西省上饶市广丰一中2023-2024学年高一上学期12月月考数学试题