名校
1 . 设函数
定义域为集合
,函数
定义域为集合
.
(1)求集合
和
;
(2)已知
,
满足
,且
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bd96b66cb914d525cf86e4be5f6cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ac35ef921a325de3c710eda6dbc18e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cdbd3df1595826795032c0042196bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5cf2771e9cf8102153acec81b212a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22337be1ee2029e5af63ab896f15809c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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4卷引用:上海市建平中学2021届高三上学期9月月考数学试题
上海市建平中学2021届高三上学期9月月考数学试题上海市第六十中学2022届高三上学期9月月考数学试题第四章 幂函数、指数函数与对数函数【真题训练】-2020-2021学年高一数学单元复习(沪教版2020必修第一册)(已下线)4.3对数函数(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高一数学精品教学课件(沪教版2020必修第一册)
2 . 已知集合
,集合
,若“
”是“
”的充分条件,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d562a88e15ef7e6d4df48bd57e6f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc9a2cb5e1a14258dc5e4dc4ed54dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f1ba0a1129741502600e47bf058c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2卷引用:上海市浦东新区八校2016-2017学年高三下学期3月联考数学试题
名校
3 . 函数
,若
<2恒成立的充分条件是
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a359fa56fb08d642d9486aa06aa40cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abaa8c4140b3cb8a5ca9b918afdb4aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95842ad442c7f6d5ec4b32939b929e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4卷引用:上海市鲁迅中学2019-2020学年高三上学期9月月考数学试题
名校
4 . 设
,
或
,若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8b02498662d60f3ec666c65b0693e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/230129e01084bd436849c335e2963a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a4df3221a064c3f119c7990e5309b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
5 . 已知集合
,设
,
,若
是
成立的充分不必要条件
(1)求出集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
(2)求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7374f4df14d0368a276cb25dba6c0924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8045f671386684dd282f75333a38a0c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4864158dda06c49107fbda261cfd34d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求出集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
6 . 已知
,设集合
,
.
(1)当
时,求
;
(2)若“
”是“
”的充分非必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188791535098a44dcdea38cd18d79ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8dbd24c319178f0235d1e6616a7e673.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
7 . 设
,
,
.若
是
的充分条件,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac930bc53f4fb3481070fbb0431b754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7169c11f402d5bd210ba9a2b21909e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-11-13更新
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3卷引用:上海市向明中学2019-2020学年高一上学期9月质量监控考数学试题
8 . 设
,
是
的充分条件,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2cf89c5fdf040474656bfae2795910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
9 . 设
若
是
的充分条件,则实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ac214720e7f8e91f25bc0c666eb704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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|
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3卷引用:上海市上海师范大学附属中学2018-2019学年高三上学期10月月考数学试题
2014·上海·二模
名校
10 . 集合
,若“
”是“
”的充分条件,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571f1e02c525aba78675951bdcbaa3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131246c1f6405698b23ebd457fa14b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/621c1d7db5e821ea084f124b879021ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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4卷引用:上海市实验学校2017-2018学年高三下学期第六次4月月考数学试题
上海市实验学校2017-2018学年高三下学期第六次4月月考数学试题(已下线)2014届上海市十三校高三年级第二次联考理科数学试卷(已下线)2014届上海市十三校高三年级第二次联考文科数学试卷上海实验学校2022届高三冲刺模拟4数学试题