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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7日内更新
|
640次组卷
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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
7日内更新
|
684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
|
43次组卷
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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
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8460bfd4440ead8dd7d8a5287b84f0.png)
(1)判断函数
的奇偶性;
(2)证明:函数
在区间
上单调递增;
(3)令
(其中
),求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8460bfd4440ead8dd7d8a5287b84f0.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe7bcabcfb85b89d906401bb4a64c6b.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd39a020accc12c2a2d1540207face6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8a07f439f530a67ec0ff4fbbdd9695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
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名校
解题方法
5 . 设函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4949ad8be47d97e65fbe4a6b9586ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8053cc02b6ef5842abf1d4201e8866f.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
6 . (1)若
求
的值;
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6676e0c0cc6b552048c910314e84ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d99d1d9273c5fb149610850ac06ab0.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1f01fc08947a0ca07ee5c5081a430b.png)
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名校
7 . 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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名校
解题方法
8 . 已知集合
,其中
是关于
的方程
的两个不同的实数根.
(1)若
,求出实数
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0c62a997304c9b77cd46bf94d0daba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa38149578f22f9e1e2bd481dade72de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41221ca73c983fc4f453ac6c4c560aa5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
9 . 已知集合
.
(1)求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9f5a7605121273eb58a207d6b739ba.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100af7bf3a55e5b4af8e396db1ce3c46.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f3c514abb15185a429e1b2f1674e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
10 . 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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