1 . 已知函数
.
(1)当
时,求
的最大值;
(2)求使
成立的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36837dfbf33fdbf59d497b60d0dd322.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8634d2d5a531ebffd843f50644b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2623500ee20713f9a2555847f68bf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
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解题方法
2 . 已知全集
,集合
,
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c527adfe8b5b69d59b83121bcd8aaed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6116d0b01b26eb45134163999f22a23d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f9b1ee28576c589f1105f2b72a16b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知集合
,集合
,
(1)求集合B(用区间表示)
(2)若
,求实数a的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89a043bcf99595137337cd89c7c6c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c5889385ddfa432860a7a2bde8b1e37.png)
(1)求集合B(用区间表示)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
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4 . 已知不等式
的解集为
,函数
的定义域为
.
(1)求
;
(2)若
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d688d789811c277564efef83840fd12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd2842684cbf7a9d2160c22819c4317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 在
,
,设全集
,并回答下列问题.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97db28356f3a6a0dd7aa2fadc44196f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aba51270a2d40a083a88f057acf5f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d702be59738be52fa35da108c70e117.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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解题方法
6 . 已知函数
,
.
(1)解不等式
;
(2)方程
在
上有解,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362bfce584209628bc4ad3f23e3d7b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce3d2c3a64bc13509d61d1c850c609a.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1275b805977c1901b5272e0bd3f8e0.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416b0b1d367993d5edcd09e88f93c804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da961805fd89f25d7727f316c518e26.png)
您最近一年使用:0次
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7 . 已知全集
,集合
,集合
.
(1)若
,求
;
(2)若集合
,
满足
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcaf41cda5c2df78a0ed2ac97277ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb4b1392f44f4330d762bf913b32f268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0248d0890f57e715b04f469509b081cc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2763c7289ae74a77c3439e85149edef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 某药品可用于治疗某种疾病,经检测知每注射tml药品,从注射时间起血药浓度y(单位:ug/ml)与药品在体内时间
(单位:小时)的关系如下:
当血药浓度不低于
时才能起到有效治疗的作用,每次注射药品不超过
.
(1)若注射
药品,求药品的有效治疗时间;
(2)若多次注射,则某一时刻体内血药浓度为每次注射后相应时刻血药浓度之和.已知病人第一次注射1ml药品,12小时之后又注射aml药品,要使随后的6小时内药品能够持续有效消疗,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964609698358e6e31673615f150802ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57fa6097197c6943c40394eaceae732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d774836119531a3eec0ee121a8585.png)
(1)若注射
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710dd2e08d422d57c65fd63f80509d84.png)
(2)若多次注射,则某一时刻体内血药浓度为每次注射后相应时刻血药浓度之和.已知病人第一次注射1ml药品,12小时之后又注射aml药品,要使随后的6小时内药品能够持续有效消疗,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 设全集
,集合
,
.
(1)求
;
(2)已知集合
,若
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442be389c6471b36eff2652b75beb114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9fa0de37b11d98959910f6954745fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cefaac57e014fe013675619962a3bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e9d87a3470ac85c978716ce7c8c46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06c9f430d68020e0e9f3acf59b987e7d.png)
您最近一年使用:0次
2024-01-27更新
|
289次组卷
|
2卷引用:湖南省长沙市湖南师大附中2023-2024学年高一上学期期末数学试题
名校
解题方法
10 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8227026cdd0e9695c16aa5335af2d4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52558eaa1bde784a349a2c65cbc85ec8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361048fd1b1a7f3b7230404a04b7155a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-26更新
|
200次组卷
|
2卷引用:江苏省镇江市2023-2024学年高一上学期期末考试数学试题