名校
1 . 已知函数
的最小值为
.
(1)求
;
(2)若正实数
,
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fc69c21ff43797710c4dc1776f48df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989680e6b74504b71f5ece8771c5301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604cbb530836d2a4d554d02f3004e350.png)
您最近一年使用:0次
2019-04-23更新
|
1459次组卷
|
7卷引用:内蒙古集宁一中2018-2019学年高二6月月考数学(理)试题
名校
2 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e58b9842265a1a1a6694107383697b.png)
(1)在区间
上为增函数,求实数a的取值范围;
(2)方程
有三个不同的实数根,求实数a的取值范围;
(3) 是否存在实数a使函数
恒成立,若存在,求出a的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e58b9842265a1a1a6694107383697b.png)
(1)在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
(3) 是否存在实数a使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071110dbc22f20d4cd5240fb918ba146.png)
您最近一年使用:0次
2019-01-31更新
|
646次组卷
|
3卷引用:江苏省泰州中学2021-2022学年高二下学期第二次质量检测数学试题
江苏省泰州中学2021-2022学年高二下学期第二次质量检测数学试题【校级联考】浙江省衢州五校2018-2019学年高一第一学期期末联考数学试题(已下线)专题08 《函数概念与性质》中的解答题压轴题(2)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
名校
3 . 已知函数
,
,其中
.
(1)当
时,求函数
的值域
(2)当
时,设
,若给定
,对于两个大于1的正数
,存在
满足:
,使
恒成立,求实数
的取值范围.
(3)当
时,设
,若
的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896dcd460ed3143bd1e6dd94a960ed19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5541db5c92fe2193efe659e923da7ca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40be761a6c34916940593aa47bcec3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206ed4ab8f27c9e14c0415604dcb6e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa404d3ff313b0a28a76a48d7d87234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15af7b745b1f97f7ae4f419901b559b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b433caf38d8e35a893b2983380386dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff68655cf50354591e9cddc9cc8067c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040c1afadd4926aec0e26d85aaf55cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 设函数
.
(1)解不等式
;
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19778e999ac9927ee65b88d4439abac.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
2018-10-11更新
|
579次组卷
|
3卷引用:【全国百强校】山西省长治市第二中学2017-2018学年高二下学期期末考试数学(文)试题
5 . 设
是定义在
上的偶函数,当
时,
;当
时,
,
(1)在平面直角坐标系中直接画出函数
在
上的草图;
(2)当
时,求满足方程
的
的值;
(3)求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a256c187e1c577afddcd41a75ebd351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205baf000a2c7330bcea3cabee555528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c6cf9152e0d02b83eb22b01722d29c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b09e7b61fb7208e4a219ba045725124.png)
(1)在平面直角坐标系中直接画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda5a58d86e02912baf76ad9f5b8e4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626489c3a7b1ad876d22d2504f347a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a892d0491a2bba2851899986ef332a.png)
![](https://img.xkw.com/dksih/QBM/2018/5/15/1945764516085760/2005406121435136/STEM/0608f8638e924ad1855be0c38a59bf32.png?resizew=257)
您最近一年使用:0次
6 . 已知函数f(x)=x|x-4| (x∈R)
(1)用分段形式写出函数f(x)的表达式,并作出函数f(x)的图象;
(2) 根据图象指出f(x)的单调区间,并写出不等式f(x)>0的解集;
(3) 若h(x)=f(x)-k有三个零点,写出k的取值范围.
(1)用分段形式写出函数f(x)的表达式,并作出函数f(x)的图象;
(2) 根据图象指出f(x)的单调区间,并写出不等式f(x)>0的解集;
(3) 若h(x)=f(x)-k有三个零点,写出k的取值范围.
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