名校
1 . 已知
,
,
.
(1)当
时,求
的解集;
(2)若关于
的不等式
的解集为
,
的解集为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ead9e67e1b855662553f1313055392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176c4a9de5a11fa2574fb00cd316a8db.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbcc3eb28e550b30e7ba6eaa09fe8f.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47a0b04c3da1ad31cccd905a575b151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a2c01ac2a7f6ad7e03cb7a61daefab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-06-12更新
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122次组卷
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2卷引用:四川省百师联盟2024届高三信息押题卷(四)文科数学试题
名校
2 . 已知
:
,
:
,则
是
的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db02e539979be8de7872d814372ded2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8bf7ebabc4fa33c391daeecc9d2a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要 | B.必要不充分 |
C.充要 | D.既不充分也不必要 |
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3 . 已知
,下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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4 . 已知
,若对任意
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6665f58c63415e0a4aa3c94b30815218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 设
,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0219208c068423dd31f170b6fc5edd.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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2024-05-29更新
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896次组卷
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2卷引用:福建省福州市2023-2024学年高三下学期4月末质量检测数学试卷
名校
6 . 若
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知实数
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0853b4c4b4b225185c2648f8464fb2bc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:河北省沧州市部分高中2024届高三下学期二模考试数学试题
2024·全国·模拟预测
解题方法
8 . 已知
,
,且
,求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0756b49f622bc91651ba212815198a1b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c557a6bcb37276619bd2c9f6ad0bf681.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46d567b06f7fcc8e34cd502203049fd.png)
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9 . 若
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-24更新
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2卷引用:北京市丰台区2023-2024学年高三下学期综合练习(二)数学试题
名校
解题方法
10 . 已知函数
.
(1)解不等式
;
(2)记(1)中不等式的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98914a2f34d457acf18e36d3b6eac5f6.png)
中的最大整数值为
,若正实数
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc719705ccfab5c3853b08bbbd4676e9.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)记(1)中不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98914a2f34d457acf18e36d3b6eac5f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e99853dddd205a4d75ace309731ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4427e8bff3b496012c7b5066d7f5ad.png)
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2024-04-17更新
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2卷引用:宁夏固原市第一中学2024届高三下学期模拟考试文科数学试题(一)