名校
1 . 定义在
上的函数
,若对任意
,存在常数
,都有
成立,则称
是
上的有界函数,其中
称为函数
的上界.已知函数
.
(1)若
是奇函数,判断函数
是否为有界函数,并说明理由;
(2)若
在
上是以
为上界的函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a45e285f154675b459b2247f3682fb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2a706da87c1775d9e89799e45b4df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 在
,
,
,
这四个数中,最大的数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a5090c79fb53e95131761531acdaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316cad4f13431fc25f376a06262baba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2c7c3ee454f5b455bf4290705241a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0563ae078853593e25c69c2cf03b2f20.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知函数
,则满足不等式
的实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ee415d3b88a2574b7b9814ff059806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32affbaf32551c10acc6ad0261e08727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
时,
的最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b23fabe4b8c9810a3e043dfc27ffc7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a81e971f501d78f5560c0c3d42f0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f1a722a2595fdc71462654b764ee49d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 函数
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502f6178e01dfdfc2d9b6bbaea1937c8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 解答以下两个小题:
(1)求
的值;
(2)若
,求
的值.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6306f753fe8458efe5cf9887b64c4422.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c1f68a5bc3695f488c3c9249ac77ea.png)
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解题方法
7 . 已知函数
在区间
上单调递增,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a116e1061461806e92cca7316ca5ed6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
且
则函数
与函数
的图像不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954a484cdf899af602c708ced50c57c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c008cc73e563594e48ad831e0f74cde4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 设
,
,
,则
,
,
三个数的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e6e36b4eacd8f400d7898f2025b87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8e41aa4530d6a4e1d05225c1bf16e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2c37a8c46a25b3def28054419627fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知函数
是
上的单调递增函数,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ad2287ba8ec5a9b79b95d62d84048a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-23更新
|
283次组卷
|
2卷引用:四川省乐山市峨眉第二中学校2023-2024学年高一上学期12月月考数学试题