名校
解题方法
1 . 设集合
,
,
(1)若
,求
,
;
(2)若
中只有一个整数,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81a4c655ae2029c0c32e950b20e9bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caef09f47c63163ba3e3b56cc180cb34.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b0cbfbb7f9547c3bdcc8356d456935.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980b31685e13cc2f139ad3aaeeb4b6ef.png)
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名校
2 . 对任意
,记
,并称
为集合
的对称差.例如:若
,则
.下列命题中,为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ac95a142fdad28e7878ab9115fda4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef32fab366056915807eb0d495b7e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f70b226287d4a61f2a96afca02183f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6158c2d0501cf187f4832fca3a132c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de89b0ee6e6bb5bfcf6d26f7e745e7f2.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.存在![]() ![]() |
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2024-04-12更新
|
1232次组卷
|
3卷引用:江西省南昌市第十中学2023-2024学年高二下学期期中考试数学试题
解题方法
3 . 已知函数
是指数函数,且它的图象过点
.
(1)求函数
的解析式;
(2)画出指数函数
的图象,并根据图象解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出指数函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b71076a96bb2d9080d81441060f90d.png)
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名校
解题方法
4 . 已知函数
是定义在
上的奇函数.
(1)求实数
的值;
(2)若存在
,不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463c4d4188dad9576f2b787195f1e908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5d01bb22f4705b80754aa342497b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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名校
解题方法
5 .
在
上最小值为
.
(1)求
的解析式;
(2)令
,点
在
图象上,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c49527b47baab2bdfd1f380502c52de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9564a20c1081d01e2c1febb103046b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5a56d090af7cd2e790e3088ef2bb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e512a614cc58b77498cb493ab10f7ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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6 . (1)计算:
;
(2)已知:
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205c3dc85813a49ae7e3b1893bace8dd.png)
(2)已知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06027472d174fe4857911bebed3ed6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6703cfe93144ee455692ba65597b9bfd.png)
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名校
解题方法
7 . 若函数
与区间
同时满足:①区间
为
的定义域的子集;②对任意
,存在常数
,使得
成立;则称
是区间
上的有界函数,其中
称为函数
的一个上界.
(1)判断函数
是否是
上的有界函数;
(2)试探究函数
在区间
上是否存在上界
,若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e0a33ac5593e2ac213d1220595c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcac06f24e866db6cd4a2de2a70309e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(2)试探究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5892ae56312acc22f56a924e561256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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8 . (1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a07109701b5bc6383bd34ae3a7164c34.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757a9bad172d51b1051ab8616ab009e7.png)
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2023-12-20更新
|
998次组卷
|
2卷引用:江西省南昌市东湖区江西师大附中2023-2024学年高一上学期期中数学试题
名校
解题方法
9 . 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)
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名校
解题方法
10 . 已知函数
是定义在
上的奇函数,且对任意的
,总有
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c8b8c7bb001a0c0665b0c2ff3cf988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f09c0670e752aa71b00f219f374b8c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-16更新
|
448次组卷
|
2卷引用:江西省南昌市第二中学2023-2024学年高一上学期期中考试数学试卷