名校
解题方法
1 . 已知定义在R上的函数
满足
,
,
,且当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e264b11a47db447a7a0a19f2c3b8900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00fdf681e3ea2f61abbe7b33a639a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87efe223ba836313af9b050966352fd4.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-11更新
|
426次组卷
|
4卷引用:四川省泸州市合江县马街中学校2023-2024学年高一上学期期末数学试题
解题方法
2 . 已知函数
在
上有定义,且
.若对任意给定的实数
,均有
恒成立,则不等式
的解集是______ .
![](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/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f58d4591d668b4bc32fae4faab8298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f09c0670e752aa71b00f219f374b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d4ea75993d6346abfa4d8f9e4d8136.png)
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解题方法
3 . 已知函数
的正周期为
且满足
,又函数
为偶函数,则
的一个值可以为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba88ee768f02214a4b085f396aecbd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/616333a07a3a3d16d1bbf98e353d8fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bf9af70fa3e6ce1922902b35d4bc8b.png)
您最近一年使用:0次
解题方法
4 . 已知
是定义在
上的奇函数,当
时,
.
(1)求
的值;
(2)求
在
上的解析式;
(3)当
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16627a6c8ecdc63f57bd822efeecb734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba49879b4aebfcd8d237316515faa01.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83666674f1111c699d7c5f7b792e0285.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141f2ad9e03ece6b97f6b1d490c2e3e4.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d41868a79f503f02e297173e621d23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6f97440e15ca93f4d52f12d98ec92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-07更新
|
310次组卷
|
2卷引用:四川省遂宁市安居育才中学校(卓同教育集团)2023-2024学年高一上学期1月期末校考数学试题
解题方法
5 . 连续两年,世界清洁能源装备大会在德阳召开,德阳已成为世界清洁能源装备之都.已知德阳市某重装企业从2021年起,每年投入
百万元(
代表年份,
,
为常数)用于研发清洁能源新产品.2023年世界清洁能源装备大会后,该企业决定进一步加大对清洁能源新产品的研发力度,从2024年起,在原计划投入的基础上,再追加投入
百万元.
(1)若2024年投入10百万元,求
的值;
(2)若要保证每年的投入持续增加,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a06adbfb5737785fed187f22f6d78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6b9f3fe3c9a8461f0c542a9285bc99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585ebc9c0b349d6c018660f34690ab5e.png)
(1)若2024年投入10百万元,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
(2)若要保证每年的投入持续增加,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
您最近一年使用:0次
解题方法
6 . 定义在
上的函数
,能断定4是
周期的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() | B.![]() ![]() |
C.奇函数![]() ![]() | D.奇函数![]() ![]() |
您最近一年使用:0次
7 . 函数
有零点,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8838202018b58bfb09163edd4614ab00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
8 . 对称美在日常生活中随处可见,在数学中也非常常见.高一某同学通过自主探究发现:①当
时:若恒有
,则函数
关于直线
对称;若恒有
,则函数
关于点
对称;②函数
关于直线
对称,
必为偶函数;若函数
关于点
对称,则
必为奇函数;③三次函数
一定有对称中心;四次函数
不一定有与
轴垂直的对称轴.请您对上诉结论作进一步探究,结合自己的实际,解答以下问题:
(1)求三次函数
的对称中心;
(2)若四次函数
有垂直于
轴的对称轴,求
的值;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c7bd5d57fde6d526cc9754c0dcc3be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf7c745cd02f4620a175cf00ec85e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30427f18adb308c0686de1c432a23dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f109f8b4fa6498206d3c0c428762c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6e0ad12f44770afd1fe46d24c3c2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f109f8b4fa6498206d3c0c428762c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c4c2b979048210cc9f27279ccd9652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13361a4330d43347e4733c876e20edbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/776250e1876d4d3ad76c5fef8bfd7769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求三次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64711e2c8875a2cd54a6e46d1137eb43.png)
(2)若四次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034c89a230a642c447d71856ad3f1909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c4dfe765629c574e8e84efa7ad6b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
您最近一年使用:0次
解题方法
9 . 已知函数
(
为常数).
(1)若函数
在定义域内单调递增,求
的值;
(2)若函数
是奇函数,求证:
在
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f9ea7f660391883118507146b082bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9c55264ba0ef9d2870115ef7815eaa.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf73220a25aa41dba74c8a32f1f13d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf73220a25aa41dba74c8a32f1f13d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
您最近一年使用:0次
10 . 已知函数
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8284f19fbb6bf2d49b86e9a2de4761.png)
A.当![]() ![]() ![]() |
B.对于![]() ![]() ![]() |
C.若方程![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.函数![]() |
您最近一年使用:0次