名校
解题方法
1 . 二次函数
满足
,且
.
(1)求
的解析式;
(2)若
时,
的图象恒在
图象的上方,试确定实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42b6975b22e99c0148e6952d174ebba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a0ac4bfe4ded00b4400f913e0c9862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-06-14更新
|
665次组卷
|
3卷引用:安徽省马鞍山市第二中学2023-2024学年高一上学期11月阶段检测数学试题
名校
解题方法
2 . 已知
是
上的奇函数且
,当
时,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00aa33a39685f53bd0e828d4c3608dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009b8edae2b57defabe6a30db44b92ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b279d018ae485e086e6e254cca0bbc55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcf6b377bc35ac8f9be9394a4745f3e.png)
A.-2 | B.2 | C.0 | D.2023 |
您最近一年使用:0次
2024-06-14更新
|
716次组卷
|
2卷引用:安徽省马鞍山市第二中学2023-2024学年高一上学期11月阶段检测数学试题
名校
解题方法
3 . 某科研单位在研发新产品的过程中发现了一种新材料,由大数据测得该产品的性能指标值
与这种新材料的含量
(单位:克)的关系:当
时,
是
的二次函数;当
时,
测得数据如下表所示(部分):
(1)求
关于
的函数关系式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e851f73d6879442b9bebb8111c6c738d.png)
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aea154147038b0e180b02624e09ddc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4b007ebf32ded4822da9453a887822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5604930de5cd277649930fd0dbe7f0.png)
![]() | 0 | 1 | 2 | 9 |
![]() | 0 | ![]() | 3 | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e851f73d6879442b9bebb8111c6c738d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-13更新
|
44次组卷
|
2卷引用:安徽省芜湖市繁昌皖江中学2023-2024学年高一上学期第二次月考数学试题
名校
解题方法
4 . 函数
,则
的值域是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4be8750779fbe187858710db2fdd03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 若
,则下列不等式中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
6 . 已知函数
有如下性质:如果常数
,那么该函数在
上是减函数,在
上是增函数.
(1)已知
,利用上述性质,求函数
的值域;
(2)对于(1)中的函数
和函数
,若
,使得
成立,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5e228803048cbc40f6aa7141d3a80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6ec3300d782e3950dbb66dbd734c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0081a9f76b3e3d4c697c3c12f7c5724c.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9974d59c1a0c155bfeeb26844c11df80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)对于(1)中的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663dca450c57095e177444db30e4b571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7498add4cb9d2e36c1b5eea3e82c8868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
7 . 函数
在
上是单调函数,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a1f815b0e0b6516b684a93e1850667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
是定义在
上的奇函数,且当
时,
.
(1)求
时,函数
的解析式;
(2)若函数
的最小值为2,求实数
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e9e7cd22283f191a70656dd0af826d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 已知
是奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf550bb3a65b537dba15d8fa7b820a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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解题方法
10 . 狄利克雷是德国著名数学家,函数
被称为狄利克雷函数,下面给出关于狄利克雷函数
的结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95d1a0e2dca4d9b89193c869e6c989a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8238fba9b391d01ceb071e78ee221035.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() |
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