1 . 已知函数
,且
.
(1)求证:函数
有两个不同的零点;
(2)设
是函数
的两个不同的零点,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c6ba34faa704b2960a8ca58032b6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5bc4ca32cda229340a7fce43f9d0037.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
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解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57065dd402a754c275cea3a678bf024d.png)
(1)证明:当
时,
至少有一个零点.
(2)当
时,关于x的方程
在
上没有实数解,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57065dd402a754c275cea3a678bf024d.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4561e662151983a27b3e8c8fcc857f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
您最近一年使用:0次
名校
3 . 对于函数
, 若存在
,使得
,则称
为函数
的 “不动点”;若存在
,使得
,则称
为函数
的“稳定点”.记函数
的“不动点”和“稳定点”的集合分别为A和B,即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732c1cd5c72ed679ddcb0e3b1e08138d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a087d67f13276fbef8eaa8e82718dc8.png)
(1)设函数
,求A和B;
(2)请探究集合A和B的关系,并证明你的结论;
(3)若
,且
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea844642720c083f09f158f56dabccd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359345c5afa1739bf5ebf8982e1d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b359345c5afa1739bf5ebf8982e1d959.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374054f44b9a52668f91ac7601e63c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732c1cd5c72ed679ddcb0e3b1e08138d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a087d67f13276fbef8eaa8e82718dc8.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c07bd1bced5e02c11b99392f9526f7d.png)
(2)请探究集合A和B的关系,并证明你的结论;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afafcdd19ed39cf1c3682bfea3825b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d02e5de0c92487382f4b98376e9740.png)
您最近一年使用:0次
2022-11-16更新
|
991次组卷
|
5卷引用:山东省潍坊市2022-2023学年高一上学期期中考试数学试题
解题方法
4 . 已知函数
.
(1)若
,求函数
的零点;
(2)探索是否存在实数
,使得函数
为奇函数?若存在,求出实数
的值并证明;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/824c887d29cde7364b6b0ccd13d4e9fa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8da022b26812ea653c7ed00cb1fb448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)探索是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
(其中a为常数,且
)是偶函数.
(1)求实数m的值;
(2)证明方程
有且仅有一个实数根,若这个唯一的实数根为
,试比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac10d6934e539fcc7d491f2c2b3ac44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
(1)求实数m的值;
(2)证明方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93129d3d0c099b073553821f35ee7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c0e3ca93b11836f57ae282519f9d29.png)
您最近一年使用:0次
2022-01-23更新
|
423次组卷
|
3卷引用:山东省淄博市2021-2022学年高一上学期期末数学试题
名校
6 . 已知函数
为偶函数
.
(1)求
的值;
(2)判断函数
在
的单调性,并证明你的结论;
(3)若函数
有四个不同的零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e979717eb52df2d1223e3365c539e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f79b8690c922e042e422cda331fbdfc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f6991c3f9d8b1c12c5457163c161d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2021-12-11更新
|
738次组卷
|
4卷引用:山东省临沂第一中学北校区2022-2023学年高一上学期学情监测(12月月考)数学试题