名校
1 . 已知关于
的函数
为
上的偶函数,且在区间
上的最大值为10.设
.
(1)求函数
的解析式.
(2)若不等式
在
上恒成立,求实数
的取值范围.
(3)是否存在实数
,使得关于
的方程
有四个不相等的实数根?如果存在,求出实数
的范围,如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39a21c80ae3e990027ecea33bfb6424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85564659d145e38c0887d186db1c8573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba94b35258a2fbde34d7e26be524fb6e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e567c3e841ba226b51543b0dc43e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4d001c51cf7b47102f641ded56b01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6544efd3f7cea29d879628d508f0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-12-26更新
|
2312次组卷
|
8卷引用:江苏省扬州市2017~2018学年度高一第一学期期末调研测试数学试题
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d57778bc0e184610f507559a89d96c2.png)
且
是奇函数.
(1)当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
为自然对数底数)时,解不等式:
;
(2)关于x的不等式
解集中有且仅有3个整数,讨论实数n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d57778bc0e184610f507559a89d96c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18375771aceaae2c20130efa961bb12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c04e8f899f16999d2068364f1b81e71.png)
(2)关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971183b60f6287e9b39bcf5d21dcba85.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)求不等式
的解集;
(2)函数
,若存在
,使得
成立,求实数
的取值范围;
(3)若函数
,讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974d9aea54bbdc92508998a882e4f9f5.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2004ee24761146eaed1726cd93403a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45745b3b43bcc8c406bac90ce9bcf3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d071c248b128c17c4126954aa7df657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb57bf6d63f5cd15e74e0f27f26a606.png)
您最近一年使用:0次
2022-01-24更新
|
1315次组卷
|
2卷引用:广东省深圳市深圳高级中学2021-2022学年高一上学期期末数学试题
名校
4 . 定义区间
的长度均为
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa403daf6f8420dcefeea93fec41798c.png)
(1)若函数
的定义域为
值域为
写出区间长度
的最大值;
(2)若关于
的不等式组
的解集构成的各区间长度和为6,求实数
的取值范围;
(3)已知
求证:关于
的不等式
的解集构成的各区间的长度和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc5d7657fd10839719b593b12d12e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d9560a5a060961e957ffeff10a29aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa403daf6f8420dcefeea93fec41798c.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927adc3ef749d09e76374ffbd7c50da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75af93e9c237ee52e258aa48a4a55649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8936e3646db9171519b41c08c16391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac502f3aadb3b15abf4aa7368b7f5b8.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07b34bade7a10c5ecc1febbf0829912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efe337fed3335419338c68b92c50e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab381e4696b228db83ba14f9dca29011.png)
您最近一年使用:0次
5 . 已知函数
.
(1)求不等式
的解集;
(2)函数
,若存在
,使得
成立,求实数
的取值范围;
(3)若函数
,讨论函数
的零点个数(直接写出答案,不要求写出解题过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974d9aea54bbdc92508998a882e4f9f5.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31b687247b7ca16a7813e3881d18a52.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92eafe586ba8507634140cc46189de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45745b3b43bcc8c406bac90ce9bcf3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29f5020d133f458912dc3da22b8127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a715aa8abbb74229e692aa7f28d00b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df376a283f245976966c89bf1d7ae461.png)
您最近一年使用:0次