1 . 已知函数
是定义在
上的奇函数,其中
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc6da8cf1ccead63fcacc383560e0ba.png)
(1)求函数
的解析式
(2)判断函数
在区间
上的单调性,并用单调性定义证明你的结论
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6794b9b34ac23dc91f77f307b4b0cf4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83eb829e3338a9e4be598124855685e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc6da8cf1ccead63fcacc383560e0ba.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14431a468db47872649666262f73645d.png)
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2 . 已知函数
,在区间
上有最大值
,有最小值
,设
.
(1)求
的值;
(2)不等式
在
时恒成立,求实数
的取值范围;
(3)若方程
有三个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae9cafe51fac4d87cf71d0b67ad0eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44284ff1ea50429a0610e13363be6080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d99041fc6c899ad46f864d20e2c12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fd53fb8780a2bd9e451a92c7c92d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e9735db0ae6e28656538de7c4f9057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-12-31更新
|
929次组卷
|
4卷引用:江苏省连云港市海头高级中学2019-2020学年高一上学期第三次月考数学试题
名校
3 . 设函数
对任意的
、
都满足
,且当
时,
.
(1)求
的值;
(2)证明函数
是奇函数;
(3)若函数
的定义域为
,解关于
不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa75d727630a1a1e38d4cdd2164dcb84.png)
您最近一年使用:0次
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4 . 已知函数
为定义在
上的奇函数.
(1)求实数
的值;
(2)解关于
的不等式
;
(3)设
,当
时,函数
的最小值为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d77a942480b04c667d266088745327e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf3f68b836ab3af129b8891d7be274f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1374db2348cc2ccbe3bd3288e8630252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9f34c007eb75c5edf825d76e802979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2020-01-15更新
|
971次组卷
|
6卷引用:江苏省扬州市2019—2020学年高一上学期期末数学试题
江苏省扬州市2019—2020学年高一上学期期末数学试题(已下线)第7章+三角函数(能力提升)-2020-2021学年高一数学单元测试定心卷(苏教版2019必修第一册)江苏省徐州市第三十六中学2021-2022学年高一上学期12月月考数学试题江苏省镇江市扬中市第二高级中学2020-2021学年高一上学期期末检测2数学试题江苏省苏州市木渎高级中学2020-2021学年高一上学期期末模拟卷(四)数学试题江苏省南京市雨花台中学2020-2021年高一上学期期末数学试题
名校
5 . 定义在
上的函数
满足对于任意实数
,
都有
,且当
时,
,
.
(1)判断
的奇偶性并证明;
(2)判断
的单调性,并求当
时,
的最大值及最小值;
(3)解关于
的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5482a9055030f833a8ad7a1988ec72e1.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91288f3376f00e3e4e37376c14f5c81d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5850426712b921e7c18b9a9a43712cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5482a9055030f833a8ad7a1988ec72e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b848ecff6f655b780965c71c215743.png)
您最近一年使用:0次
2019-12-06更新
|
398次组卷
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3卷引用:河北省唐山市第二中学2019-2020学年高一上学期期中数学试题
解题方法
6 . 将函数
的图象上所有点的纵坐标伸长到原来的
倍(横坐标不变),再向左平移
个单位长度,得到函数
的图象,设函数
.
(1)对函数
的解析式;
(2)若对任意
,不等式
恒成立,求
的最小值;
(3)若
在
内有两个不同的解
,
,求
的值(用含
的式子表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b3c1bef51cb5fe6d9fe0b033c6b026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
(1)对函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656f3ff3b3931151c1b415783c8b98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031f510345bf812f088f1e4f99929525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86ace17bb03e70cfa487c77222ce64b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dee9aa4f326703035a70aef51af4146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e058eeb9cea0d93756125087c6655325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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7 . 已知函数
对任意实数
恒有
且当
,
,又
.
(1)判断
的奇偶性;
(2)求
在区间
上的最大值;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83713c616f96ee7a570ae7560b89538d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91288f3376f00e3e4e37376c14f5c81d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d481b738e91c7d580164afd761a910e.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8ce7213ca9d0de68f85dec0ed8719b.png)
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解题方法
8 . 定义函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ffc9b120589bf95bc8cca4ee29b7e0.png)
.
(1)解关于
的不等式:
;
(2)已知函数
在
的最小值为
,求正实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ffc9b120589bf95bc8cca4ee29b7e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6d356698307cd8a2ee82636ffeeff6.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e48ffaaa7f1e3f715f8da7f246e2829.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-02-17更新
|
649次组卷
|
3卷引用:浙江省杭州市第二中学2018-2019学年高一上学期期中数学试题
浙江省杭州市第二中学2018-2019学年高一上学期期中数学试题广东省大湾区2022-2023学年高一上学期期末联考数学试题(已下线)期末真题必刷易错60题(28个考点专练)-【满分全攻略】(人教A版2019必修第一册)
名校
9 . 已知定义在
上的奇函数
,当
时,
.
(1)求函数
的解析式;
(2)画出函数
在
上的图象;
(3)解关于
的不等式
(其中
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b61608d785aa5aab652b78217b1708.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab10cdbfd99b9820fe6aef037b09acbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
您最近一年使用:0次
2019-12-01更新
|
172次组卷
|
2卷引用:广东省黄冈中学广州学校2020-2021学年高一上学期12月月考数学试题
10 . 设函数
(
且
)是奇函数.
(1)求常数
的值;
(2)设
,试判断函数
在
上的单调性,并解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc7d79dd1177a57cba31bf76e1e8226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5c1d430b36ae3d399acb1508518c00.png)
您最近一年使用:0次
2020-02-01更新
|
162次组卷
|
2卷引用:2016届上海市嘉定区高考一模(文科)数学试题