名校
解题方法
1 . 已知函数
(
且
)是偶函数.
(1)求实数
的值;
(2)若
,且对于
,不等式
恒成立,求整数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf40989bbaeef20dbeddb12d3e584cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b90e68fcbb10f462ff9636a681cd5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0731f0ca01770e490f63acbad60912da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-24更新
|
412次组卷
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2卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高一下学期2月调研考试数学试题
名校
2 . 立定跳远是高中生体能测试的项目之一.对某同学在11月和12月立定跳远练习成绩(单位:米)统计如下:
11月 | 2.30 | 2.25 | 2.34 | 2.30 | 2.22 | 2.36 | 2.38 | 2.33 |
12月 | 2.40 | 2.33 | 2.38 | 2.43 | 2.41 | 2.44 | 2.40 | 2.41 |
(1)设11月和12月立定跳远练习成绩的平均数分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848dac3d6db7c23c58f399970b3f9b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0da8a9d862e0005c44a8cb8fd262bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbc29b47b83fdc5368770b7b1acb439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1295cbd36fdc55a55b549aa2dd5887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848dac3d6db7c23c58f399970b3f9b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0da8a9d862e0005c44a8cb8fd262bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbc29b47b83fdc5368770b7b1acb439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1295cbd36fdc55a55b549aa2dd5887.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/202ab63b91142af0fb5eba9ea901f930.png)
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名校
解题方法
3 . 已知函数
,函数
.
(1)求函数
的解析式;
(2)试判断函数
在区间
上的单调性,并证明;
(3)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b92522fff0cc1f4549527844f373403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2203e77596f8e76eb6fc0f6fe08a3e67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2024-03-20更新
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428次组卷
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3卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高一下学期2月调研考试数学试题
解题方法
4 . 已知
,
,求
以及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da19f0d43a33b280c90491d999ce8227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de124189a312a3f27bd13d59aed70ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78911ec704e4b5c3f74e3a56fd51c69b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd38f7fe530e277c73733ea998b737b.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
(
且
)是偶函数.
(1)求实数
的值;
(2)若
,且对于
,不等式
恒成立,求整数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda2f59bbed2c2270a34e3ecd193dedd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa2b8b5cf39382aed29e60c688987e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fa139aad70ad1ac124affc3fe5d75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad3306669e5e1f11915852daf550ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,其中
是自然对数的底数.
(1)判断
的奇偶性,并说明理由;
(2)若关于
的方程
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98348a6484adcce636bb7220a69d8678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1084b6caa375fc59793a2bcd28e1368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-12更新
|
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2卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题
名校
解题方法
7 . 已知函数
.
(1)化简
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5559cc39cdc6733f0a886c9c90436340.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1f0e9dcd693140a80c61d3cc8c2c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16e455be7a3a8e8531e78644198055e.png)
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2024-03-12更新
|
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2卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题
名校
8 . 已知集合
.
(1)当
时,求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190ab0e4e975e4eadec51753703ed96b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-12更新
|
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2卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题
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9 . 已知
是定义在
上的奇函数.
(1)求
的值域;
(2)设函数
,若对任意的
,存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ca09548bb2ade976e4db708ff209c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bbe59b05263f77b78b169c0ba1a15f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d5a5e70f64f0933ae1e4ddec5fa2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdfceaa8a8a092f8f3eb8572f0dfbb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-07更新
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3卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题
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10 . 已知函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/76b19828-598d-4e18-9b7c-902a705c31e6.png?resizew=160)
(1)求
的解析式;
(2)求
的单调递增区间;
(3)若存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a40210d318e9ccda8ebde3fd29ad98a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/13/76b19828-598d-4e18-9b7c-902a705c31e6.png?resizew=160)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cf9b979e3f65efb1992727c260b25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6db6ae79ff304ea76d8d5406de874bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-07更新
|
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4卷引用:河南省许平汝名校2023-2024学年高一下学期开学考试数学试题