名校
解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215c25ba48636d1fa5e328421d34ccb8.png)
(1)当
时,求
的定义域和单调递减区间;
(2)若函数
在
上单调递增,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215c25ba48636d1fa5e328421d34ccb8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca80b3d86b93fa2747d79d022c50dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知函数
,
,求
的值域以及取得最值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e30be69ed5fd9705890237b6b1e67f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14d2cf6e2aef89f9cafe56aa97a7ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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4 . 计算:
(1)
;
(2)
.
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53a183ec412e56789c5d5d286e8928f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe7ef76f76ca158146b2dd6f52e3c48.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba253b0819deba389b2ffd216cd68c2c.png)
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解题方法
5 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bde55d7f1df4654a036efac10f07165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b9f7e84867b71bdb8f0d7fd48bd582.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-12-19更新
|
1182次组卷
|
6卷引用:天津市第四十七中学2024届高三上学期第三次阶段性检测数学试题
名校
解题方法
6 . 函数
的定义域是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0070fdef6a77bc6f50241f9cae4439.png)
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7 . 已知函数
的图象恒过定点
,若点
也在函数
的图象上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f164bbd73a93d4838bc45c2ed17b9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d778fbe959767840aa60f592bcb46c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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解题方法
8 . 已知函数
且
)在区间
上单调递增, 则a的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fff8067a5e4b00a153ffede5c16172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
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解题方法
9 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7102f1eca082b3a069d3d6422e7fe586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4740a2e041ba1cb05ecb048d0a6bfb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4789adf0f1fe7be8de2b52b8562baff7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知定义在R上的函数
(1)若
不等式
恒成立,求实数
的取值范围;
(2)设
,若对任意的
,总存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6faabe5f47bdf7536fd3e7e8eabfba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505e4bfd31c479e7951f370247d7dd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b079ca99bee2a5814e90149654d8f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9624a4db0f489d1d75f29314915897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfc93ac1c49836dffd45142e7dd8da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174426520dc1b3bbc366bca4deaa664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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