名校
解题方法
1 . 设
为常数,
是定义在
上的奇函数,当
时,
,若
对一切
成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead5b2a29f2459bbe384ee62ed998385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4392aee4827eea380055c2f3df1f7420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 若函数
是奇函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8bd118953e3fd285581879cef9c7863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759582aeb4a5adf31a35c666778f208e.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-02更新
|
431次组卷
|
3卷引用:浙江省临平萧山学校2023-2024学年高一上学期期末数学试题
3 . 已知幂函数
是定义在R上的偶函数.
(1)求函数
的解析式;
(2)当
时,求函数
的最值,并求对应的自变量
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c52a591bfc43ba69abc2822bfe5f19b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a142f28e90c952e0e29b88ab01722c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83d040e2b0b6e04d8c27037e77af382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
4 . 若函数
是偶函数,且当
时,
,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.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/45f97e55625474ba76b891a01500c124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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解题方法
5 . 已知函数
是定义在
上的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/80094478-dac5-4855-bcd9-eb560c801525.png?resizew=175)
(1)画出函数
的图象,并写出
的单调区间;
(2)求出
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c6c39a23561a8042b2c56102b63df6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/80094478-dac5-4855-bcd9-eb560c801525.png?resizew=175)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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名校
解题方法
6 . 已知函数
是定义在R上的奇函数,且当
时,
.(
是以e为底的自然对数,
)
(1)求
的解析式;
(2)若正数m,n满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1ebf490f9eb1d40a4a11cb37fd4b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c7d5aee3615cdb65b3dd4e24da7bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若正数m,n满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caee77d4821d513c99bce6dc2b94b899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ea0f72ba83ccc556291b5fe6de228e.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
是定义域为R的偶函数,且当
时,其表达式为
,则当
时,其表达式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d03211706ec9797632dedba4124f398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
您最近一年使用:0次
2024-02-05更新
|
557次组卷
|
2卷引用:上海市上海中学2023-2024学年高一上学期期末考试数学试题
解题方法
8 . 已知函数
是定义在R上的偶函数,当
时,
.
(1)求函数
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369100ccd44feaa77e5f119ea949a879.png)
您最近一年使用:0次
解题方法
9 . 已知奇函数
满足当
时,
.
(1)求
的解析式;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8187d78032ae640879bcff12ce19cb65.png)
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10 . 已知定义在
上的函数
为偶函数.当
时,
.
(1)求
;
(2)求函数
的解析式;
(3)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b782c11e580cc5e91ba5a51969fe8eeb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/109dde9fdf7b26d48a8eee68fc9e7d46.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98927330583cfd48b18e42f9a5ff77dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次