名校
解题方法
1 . 设函数
,若方程
有3个实数解,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceb0990364477abfc25291cb0aa3e4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知函数
,
.
(1)若
,
①求证
;
②求
的值;
(2)令
,则
,已知函数
在区间
有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc1750b45a3c13399980c8c1f9c596c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a768cc949e4d1ca3effaa7f82b2156.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d474d165d9ba22443f1d5b72b9b57adf.png)
①求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef502f2520c255f8c7281e343ce2357.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b564a1292ea15b20e586b8ba16a7726c.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80661feb5630831d21c3d7a328c17ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc38c68db969c0a77847417bdc732d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e593828316139a54019e352dec883f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 设函数
,方程
恰有5个实数解,则正实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c4c51c69a17fccf5912838c1c7d232.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdee9d1d624cbe510ba697c4e16d6cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-02-27更新
|
2934次组卷
|
7卷引用:四川省仪陇中学校2022-2023学年高一下学期第一次月考(4月)数学试题
名校
4 . 设函数
,若互不相等的实数
,
,
满足
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b560cb808e968ceee785030d47035e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
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2022-12-12更新
|
666次组卷
|
2卷引用:四川省南充高级中学2022-2023学年高一上学期期末数学试题
名校
解题方法
5 . 定义:如果函数
在定义域内给定区间
上存在
(
),满足
,则称函数
是
上的“平均值函数”,
是它的一个均值点,如
是
上的平均值函数,
就是它的均值点,现有函数
是
上的平均值函数,则实数t的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2a6fa3bc621d26261cf595a5802a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2534d6a2bfdd977c22d97d1c2740ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40ea43f25b2f7408c17d733b97dc8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
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2022-01-21更新
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5卷引用:四川省南充市嘉陵区南充市嘉陵第一中学2023-2024学年高一上学期期中数学试题
名校
解题方法
6 . 已知函数
,若
,
,
互不相等,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23516dcdf09e326002d1ae1a69141516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb94a713a13241f72399c39f94b65e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae24688d4c45aad43e9af0b7bbfda6b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-02-05更新
|
365次组卷
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6卷引用:四川省南充市西华师范大学附属中学2022-2023学年高一下学期期中考试数学试题