名校
解题方法
1 . 对任意
,不等式
恒成立,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45256bc50846ff052fd5621be50972c.png)
A. ![]() | B.![]() |
C.![]() | D.![]() |
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2 . 回答下面两题:
(1)已知函数
,若对于任意
,都有
成立,求实数m的取值范围;
(2)解关于x的不等式
.
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0da7e7c8b074ad3b0c85736c8ec5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/973852dec155d3b5b9a1ac6df48c04e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce83c10d4709026d397361b4ee54ba32.png)
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3 . 命题“
,满足不等式
”是假命题,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cd15d9a85f61cf07ac4a441adbb372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902ba00abbde7487cbb44c3bc6ec5897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 对任意
,不等式
恒成立,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d31be7b35955d4f0ab4cab80bec7edd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024高三·全国·专题练习
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解题方法
5 . 设函数
(1)若不等式
对一切实数x恒成立,求a的取值范围;
(2)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87269d6002a4f78fe4ee9aa53b4cd01c.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e674bf3f00e008ef510c783fcfa18219.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f1040777491b882fa89809cdf337cd.png)
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解题方法
6 . 函数
(
,
,
)的一段图象如图所示.
的解析式;
(2)若不等式
在
上恒成立,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be4abeb3c2da2f31c090ed4b50313a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89040554aa79926881b74fe954e4d08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33aded8f2ad6e3525cae4bc37522d463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a5a4cadade891d6485be7eeeb9fed5.png)
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7 . 已知定义域为
的函数
是奇函数,且在
上严格单调递增,若对任意
,
恒成立,则实数
的取值范围是( )
![](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/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8be271e8461da00429779e0eea481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
484次组卷
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3卷引用:上海市文来中学2023-2024学年高一下学期3月阶段检测数学试题
名校
8 . 已知函数
且
的图象过定点
,函数
与
的图象交于点
.
(1)若
,求
的值;
(2)若对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcdb44c161cbb62df40398eccf0f0a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e95c2ed0f7ffb77969dd598f66af7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c978db0909d6a9e34a8bf068c22a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4369f68391b33d55e53167d3308647bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 已知函数
且
.若存在
,使得不等式
对于任意的
恒成立,求实数
的最小值为_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c5dad340991112758226fd3b5dc1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308c33e7a29c84cbad2252e44f6acb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd73b03919e2cd703417b4c3c1fe281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea47220258260d54537f7b5b4be915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知关于
的不等式
的解集是
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15283b27721153d40cc9a8f6b2b42608.png)
A.![]() |
B.![]() |
C.![]() |
D.不等式![]() ![]() ![]() |
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