1 . 已知f(x)=ax+ka﹣x(a>0且a≠1)是R上的奇函数,且f(1)
.
(1)求f(x)的解析式;
(2)若关于x的方程f(
1)+f(1﹣3mx﹣2)=0在区间[0,1]内只有一个解,求m取值集合;
(3)是否存在正整数n,使不得式f(2x)≥(n﹣1)f(x)对一切x∈[﹣1,1]均成立?若存在,求出所有n的值若不存在,说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06d7ce9a1cc14efb8f523c66034652f.png)
(1)求f(x)的解析式;
(2)若关于x的方程f(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/792efda598382d11665c75f327e2868a.png)
(3)是否存在正整数n,使不得式f(2x)≥(n﹣1)f(x)对一切x∈[﹣1,1]均成立?若存在,求出所有n的值若不存在,说明理由
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名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96146688df95d2805ca3a0665d087b7.png)
(1)若
,求不等式
的解集;
(2)求函数
在区间
上的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96146688df95d2805ca3a0665d087b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2ac429737efebf150a1bd088ba846.png)
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2019-12-31更新
|
1094次组卷
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6卷引用:湖北省荆门市钟祥一中2019-2020学年高一上学期10月月考数学试题
名校
3 . 已知函数
.
(1)求
在区间
的值域;
(2)函数
,若对于任意
,总存在
,使得
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a10a6d4dbb98a9356d5279470f722c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663dca450c57095e177444db30e4b571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07444159fdea87a306d2ea12cd6f027c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31395d2ed7dacaf20369a0eeabc2e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1762b631672f5de61b27d81b4ab424e2.png)
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4 . 设A是符合以下性质的函数
组成的集合,对任意的
且
在
上是减函数。
(Ⅰ)判断函数
及
是否属于集合A,并简要说明理由;
(Ⅱ)把(Ⅰ)中你认为是集合A中的一个函数记为
,若不等式
对任意的
总成立,求实数k的取值范围。
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa817d31ef0b78832b99313ea6c610a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
(Ⅰ)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3887212b6ac2870e32c7bb6c0ef36ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c1fb0dcbf2afb981611127a9cd13a4.png)
(Ⅱ)把(Ⅰ)中你认为是集合A中的一个函数记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66bee09fa0a21cc5f0e1c5bcfe64543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
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19-20高一上·江苏南通·期中
名校
5 . 已知奇函数
与偶函数
均为定义在
上的函数,并满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/563d34c1f9b294a226c6a007d85bd1ef.png)
(1)求
的解析式;
(2)设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b17dc43d542d76fc09115ee603784a.png)
①判断
的单调性,并用定义证明;
②若
,求实数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/563d34c1f9b294a226c6a007d85bd1ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b17dc43d542d76fc09115ee603784a.png)
①判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e26565fc368de1c21ed8d48e7e396c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-12-04更新
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1132次组卷
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3卷引用:江苏省南通市如皋市2019-2020学年高一上学期教学质量调研(二)数学试题
(已下线)江苏省南通市如皋市2019-2020学年高一上学期教学质量调研(二)数学试题黑龙江省大庆市东风中学2019-2020学年高一上学期期末数学试题广西壮族自治区钦州市第四中学2023届高三上学期11月考试数学(文)试题
名校
6 . 已知函数
.
(1)当
,
时,求满足
的
的值;
(2)若函数
是定义在
上的奇函数,函数
满足
,若对任意
且
,不等式
恒成立,求实数m的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986193da5757caf78a132a8fc10c0a4d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce4430b8b9b0c78de693513a7f88915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18ca652aa23ef02b16bd096cf931001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710c6884f20ec5a0000f04ebe1c432e1.png)
您最近一年使用:0次
2019-11-30更新
|
471次组卷
|
2卷引用:浙江省宁波市镇海中学2019-2020学年高一上学期期中数学试题
7 . 已知函数
(其中
为常量,且
)的图像经过点
.
(1)求
的值;
(2)当
时,函数
的图像恒在函数
图像的上方,求实数
的取值范围;
(3)是否存在实数
,使得函数
的定义域为
,值域为
?若存在,求出
的值;若不存在,则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42df8776505a45691f1c4131c3d98dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810949b76573ccd9d43af3815299d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9b85d7c91dbfb23f52d848a94e0cde.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1babe83333f3486af79840208caec56f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63cc42ac1579cc4ba37b54cbebd9365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254d0e3be93b3a32e45f3cd1f8c44891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd55400929c757f6f55f87e0e3d52df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe66b327f503b14b2ddc5260de454da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
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8 . 已知函数
是定义在
上的奇函数
(1)求
并求
的值域;
(2)若函数
满足
,若对任意
且
,不等式
恒成立,求实数m的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be11017c02bc31b23562b239f8e71798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f557a9e9a87649894ba8a89a425e397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a4452ca94b2066afc4bc23f00ff95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19948c7515e9f17bfdeaf1078a68e5c3.png)
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9 . 已知
为偶函数.
(1)求实数
的值,并写出
在区间
上的增减性和值域(不需要证明);
(2)令
,其中
,若
对任意
、
,总有
,求
的取值范围;
(3)令
,若
对任意
、
,总有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d39e0779c362601dbbda588e27403f5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d0217f0830caf9d0e68b5b3684a835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfd9de2b5573fbb81fe1b7e18c0c30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1559261b3df5850d77bb40644c79928f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f22533a605adde3211191df57362a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33d1b59bea5b9a0e1298014a6cf0466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
您最近一年使用:0次
2019-11-15更新
|
838次组卷
|
3卷引用:黑龙江省哈尔滨市第三中学2019-2020学年高一上学期期中数学试题
名校
10 . 已知函数
,
是实数.
(1)若函数
是定义在
上的奇函数,求
的值,并求方程
的解;
(2)若
对任意的
恒成立,求
的取值范围;
(3)若
,方程
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9552c06fe40d4ec585446598d0170e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a7b30d8282501ed3e070d1f14a56cb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ada38a3c18bf599e40f180828a101f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413a1c16b39e71acf061e7658b5429cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406b3d7e941fc9e103ba4312cdae8f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-11-15更新
|
736次组卷
|
3卷引用:【新东方】426