1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8094cd2e5c3e70edcc2dcf50f514380a.png)
(1)求
的单调递减区间及对称轴方程;
(2)设
是函数
图像的对称轴,求
的值;
(3)把函数
的图像向左平移
个单位,与
的图像重合,直接写出一个
的值:
(4)把函数
的图像向左平移
个单位,所得函数为偶函数,直接写出
的最小值;
(5)当
时,函数
的取值范围为
,直接写出t的最小值;
(6)已知函数
在
上是一个中心对称图形,直接写出一个符合题意的t的值:
(7)设函数
,直接写出函数
在
上的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8094cd2e5c3e70edcc2dcf50f514380a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc72884cb6871f12ca1a6dcc1a064c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ef77476969cf0474c493a4de3f9064.png)
(3)把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(4)把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(5)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d9703ec5eee8074ba7fbe0e899b336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(6)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb83ad27846200a8ac81ff4cf7fd510.png)
(7)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24b802c5f89533065cf8ee1377b5ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
您最近一年使用:0次
2023-05-11更新
|
216次组卷
|
2卷引用:北京交通大学附属中学2022-2023学年高一下学期期中数学试题
2 . 已知函数
的定义域为
,满足如下两个条件:
①对于任意
,都有
成立;
②函数
的所有正数零点中存在最小值为
.
则称函数
具有性质
.
(1)若函数
具有性质
,求
的值;
(2)若函数
具有性质
,求
和
的值;
(3)判断函数
和
是否具有性质
,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
①对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26927f1f0be044942dfce30c3607158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527aa842d9636f25f89b17e335878185.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
则称函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8f69402300f6ed932697689212e91c.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8f69402300f6ed932697689212e91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0030881bcbd9af6835f17ab4689bf0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5d8bc28ee110a9540f383828b7d245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e27fde05cc2a11caf3422875b58372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8f69402300f6ed932697689212e91c.png)
您最近一年使用:0次