名校
1 . 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
解题方法
2 . 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)
您最近一年使用:0次
名校
3 . 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)
您最近一年使用:0次
名校
解题方法
4 . 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
解题方法
5 . 已知函数
,且
是奇函数.
(1)求
的值;
(2)判断函数
的单调性,并用定义证明;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d376f3e525bab3781558f6368c3fb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c459c5d37f30210330dbeaf49f5662f8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35da9768543045a779958be00eae8062.png)
您最近一年使用:0次
名校
6 . 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
|
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
名校
解题方法
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b51f3fbe3238afe82921f6441abe9bf.png)
(1)求
的值;
(2)用单调性定义证明
在R上单调递增;
(3)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b51f3fbe3238afe82921f6441abe9bf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bef4eccfb762945d5b672518dfc6dc.png)
(2)用单调性定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1a26de797f2a238ae3bad56f6c1b3d.png)
您最近一年使用:0次
名校
8 . 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
9 . 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
名校
10 . 已知
,函数
.
(1)求实数
的值,使得
为奇函数;
(2)若关于
的方程
有两个不同实数解,求
的取值范围;
(3)若关于
的不等式
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5de13c387dd5d2aa9200d96341c3823.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20285270c0987114efde60742da21494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e64b91e07b412d77b3341ec7255e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389c5eb9278242f235dfcb45e687f7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-01-30更新
|
459次组卷
|
4卷引用:上海市复旦大学附中2018届高三上学期10月月考数学试题
上海市复旦大学附中2018届高三上学期10月月考数学试题上海市复旦大学附属中学2018届高三上学期第一次综合测试数学试题上海市复旦大学附属中学2018 届高三上学期第一次月考数学试题(已下线)第6章+幂函数、指数函数和对数函数(重点卷)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第一册)