解题方法
1 . 已知定义在
上的奇函数
为单调递增函数,若
恒成立,则t的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35e1dc17c038a49c69ee3e9d6026fef.png)
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解题方法
2 . 已知定义域为
的奇函数
,则
的解集为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bace51ea570cd8e49c164f1920c01ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6eb0e51b3c2cc121588a1f9b2d23d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dc2a3531d49f5bc4873d48a35ee887.png)
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2023-11-10更新
|
353次组卷
|
2卷引用:吉林省长春市长春外国语学校2023-2024学年高一上学期期中数学试题
解题方法
3 . 设
是定义在
上的奇函数,且当
时,
,若对于任意的
,不等式
恒成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9564a20c1081d01e2c1febb103046b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0ce09acdb78e1bba83c1887b017394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
4 . 已知函数
,给出三个性质:
①
定义域为
;
②
是奇函数:
③
在
上是减函数.
写出一个同时满足性质①、性质②和性质③的函数解析式,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
写出一个同时满足性质①、性质②和性质③的函数解析式,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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2023-11-10更新
|
300次组卷
|
3卷引用:北京市房山区房山中学2023-2024学年高一上学期期中学业水平调研数学试题
名校
解题方法
5 . 已知函数
的定义域
,对任意的
,都有
,若
在
上单调递减.且对任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13becdedb505c4f36d8c44643a1ab3a1.png)
恒成立,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013c52e426ebbe740c3eeaa9cd13e47b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1bc250c8a6523a1be394ff48d4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d3266d9e95d74a0f98587e1c370d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13becdedb505c4f36d8c44643a1ab3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50e09150e7572eb3a2768d78c38b33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-11-10更新
|
695次组卷
|
2卷引用:河北省名校强基联盟2023-2024学年高一上学期期中联考数学试题
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解题方法
6 . 定义在
上的奇函数
满足
,且
在
上单调递增,给出下列几个命题:
①
;②
的图象关于直线
对称;③
在
上单调递减.
其中正确命题的序号是___________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d78dec1c1e00ec02d7bdaf76ef8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a50188f84f379b3d0418c54cbade7d7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdaf163a76e3d73f2aae4cd1767d5b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
其中正确命题的序号是
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7 . 已知函数
,若不等式
恒成立,则实数
的最大值为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb938e681b256788c09032d9af449a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5d8dc2e76cd54c8eecaf79ee4471a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-09更新
|
355次组卷
|
3卷引用:江苏省镇江市丹阳市2023-2024学年高三上学期10月期中数学试题
8 . 已知函数
,若
,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a6c9fb833222c90628ea81e64ddbeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e536274bd78182862f8d8dbbe50b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
9 . 已知定义域为
的函数
同时具有下列三个性质,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
__________ .(写出一个满足条件的函数即可)
①
;
②
;
③
.
![](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/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34e9794d31b207750914222a39d9036.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f09c0670e752aa71b00f219f374b8c.png)
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解题方法
10 . 函数
是定义在实数集上的奇函数,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ ;对于任意
,关于
的不等式
在
上有解;则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996032924070219aee6b8754fb76ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c395021157c73ac8dcde32864f7e121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c212456b2e69d9b43bf0e5ce1b3102b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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