名校
1 . 函数
的最小值为__________ .(其中
表示
中较大者)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53baffde104a61731e43b75da8519378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a477a57d5253d22006c85ede1f5575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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解题方法
2 . 若函数
是偶函数,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af612fb1be4bafd9d7f0e7602428f061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 血氧饱和度是呼吸循环的重要生理参数.人体的血氧饱和度正常范围是
,当血氧饱和度低于
时,需要吸氧治疗,在环境模拟实验室的某段时间内,可以用指数模型:
描述血氧饱和度
随给氧时间
(单位:时)的变化规律,其中
为初始血氧饱和度,
为参数.已知
,给氧1小时后,血氧饱和度为
.若使得血氧饱和度达到
,则至少还需要给氧时间(单位:时)为( )(精确到0.1,参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c0ec926e15536c4db2a6cd09700fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3866b3757d05ceb0d14427142fb52e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effacde9a651bf6d6170054ab28d8369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5451a66fb4f48811e042d8ca250f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e46bff1ba235329ed6ae1321e33f3b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f562eb3c2a45d65cba066d712825a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94da973d59270f8efca3b0b27177239c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1213c2a26a77edc9d0615b9988474c77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3866b3757d05ceb0d14427142fb52e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf872e966c1ce13d0b0e6dd9834b44b.png)
A.0.3 | B.0.5 | C.0.7 | D.1.5 |
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4 . (1)计算:
;
(2)已知
,求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a171cb2875191c5900af70c60f59ec.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ae49451ecb6c50998bcb28c3e0da4f.png)
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2024-03-19更新
|
372次组卷
|
2卷引用:安徽省芜湖市安徽师范大学附属中学2023-2024学年高一下学期3月阶段性教学质量监测数学试题
解题方法
5 . 已知函数
的定义域为
,
,且当
时,
.
(1)判断
的奇偶性,并说明理由;
(2)解不等式:
;
(3)已知
,
,若对
,
,使得
成立,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ce23d4f9f61a8b1f99d11f4cd2c1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5efe66db991b562c73ffb16c1e585870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e090ef7dbb50d679885c1f89dad0a92.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27197a2746e130cedc4854a858fe15bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eca8dbd15a14ed3c54d79354d8f0359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160d7691eb04939e1d110fbd191e09ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db37a30cc9c01c37f6f14ba27c898f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624a648f30189a10c8b6683b190ce5d.png)
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解题方法
6 . 已知函数
.
(1)若
,且
,求函数
的零点;
(2)若
,函数
的定义域为I,存在
,使得
在
上的值域为
,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74ac5738b9c7e7f8c5af3ae0a86bed1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c459c5d37f30210330dbeaf49f5662f8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2866a347edffa2be486d2d76b2eb7eda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119b20f27ee885c82edf447d24cc0cea.png)
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解题方法
7 . 已知幂函数
过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27f8713fe2a4f931806dc33741e2339.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e5abce9e520b37572b68141940bbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27f8713fe2a4f931806dc33741e2339.png)
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8 . 已知
是定义在R上的偶函数,若
,
,且
,
恒成立,且
,则满足
的实数m的值可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a074019a75a26e8d6b9147731a29a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeaf46cce759876fb9357a974c3f8be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed670b1f668778c6243f3f7470ee7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad88497b10ae26dd940624f60cdc6643.png)
A.![]() | B.![]() | C.1 | D.3 |
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解题方法
9 . 若
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957ef19745c59823ba9c2b90f81da15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098e2005d2c6b9da7be312b405377b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afe8be2316a39b165e2f0466655b7d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e5793801e26ba44e55836749fa3923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20465f16f1d0e64df3c0ef40d8b79164.png)
A.![]() | B.2 | C.![]() | D.5 |
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