名校
1 . 已知函数
(
,常数
).
(1)当
时,求不等式
的解集;
(2)根据
的不同取值,判断函数
的奇偶性,并说明理由;
(3)若函数
在
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a14a2156c6690b324f7929b3b3553970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e451f18c97bc90b2216351fd73bf00af.png)
(2)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](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/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-02更新
|
242次组卷
|
2卷引用:上海市进才中学2019-2020学年高一上学期期中数学试题
名校
2 . 设函数
(其中
为常数).
(1)根据实数
的不同取值,讨论函数
奇偶性;
(2)若
,且
在区间
上单调递减,求实数
的取值范围;
(3)若关于
的不等式
在
时恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef79a4c2851a7e5e24018fd076406da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)根据实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55fc27d9554bc93298f29373f4e9e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13e38a5ee18ecf4af2d9a8443b4a7bc.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/24a749285bc6d24bc6e3c27157ef20a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966b60302d80d8613675bb3dd5c03164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
在
上恒有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a00af37a95128db5d3745a7a327063.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2942e2647554b44127bfce7b22f36a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af98533fbc91ae52c1eeaf0592a86f8.png)
您最近一年使用:0次
2020-08-16更新
|
227次组卷
|
3卷引用:上海市行知中学2019-2020学年高一下学期期末数学试题
上海市行知中学2019-2020学年高一下学期期末数学试题上海市复旦大学附属中学2020-2021学年高二上学期10月月考数学试题(已下线)大题易丢分必做30题(提升版)-2020-2021学年高一数学期末考试高分直通车(沪教版2020,必修一)
4 . 已知二次函数
的定义域为
恰是不等式
的解集,其值域为
,函数
的定义域为
,值域为
.
(1)求函数
定义域为
和值域
;
(2)是否存在负实数
,使得
成立?若存在,求负实数
的取值范围;若不存在,请说明理由;
(3)若函数
在定义域
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc1d4dfe9b98c934cb60526c8e36074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98d1a5f29c0ef6d735ab302ad592617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2966faea2bdf17a1c9312873cfda0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)是否存在负实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2966faea2bdf17a1c9312873cfda0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
12-13高三上·上海·期中
5 . 已知函数f(x)=loga(1+x)﹣loga(1﹣x)(a>0且a≠1).
(1)讨论f(x)的奇偶性与单调性;
(2)若不等式|f(x)|<2的解集为
求
的值;
(3)设f(x)的反函数为f﹣1(x),若关于x的不等式f -1(x)<m(m∈R)有解,求m的取值范围.
(1)讨论f(x)的奇偶性与单调性;
(2)若不等式|f(x)|<2的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b409bb1ee5e13518a976bfa40f9154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设f(x)的反函数为f﹣1(x),若关于x的不等式f -1(x)<m(m∈R)有解,求m的取值范围.
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