名校
解题方法
1 . 已知自变量为
的函数
,
(1)若
且
,则函数
图像可由幂函数______(写解析式)先沿
轴方向______平移______个单位,再沿
轴方向向上平移______个单位得到;
(2)当
且
时不等式
对
恒成立,求实数
的最大值;
(3)若
且关于
的不等式
解集是单元素集,试写出函数
的严格单调区间,并说明单调性(不需要证明单调性)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c89ed10bd050a1d79800c9cfed790d1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c89ed10bd050a1d79800c9cfed790d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3baf90f8ab8dbbb263e41dccc932a5b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3b54457fe04921c204387b0f3707ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df68e6be20b15305462c9bce90c5a1e.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.在研究函数
的性质时,某同学发现:函数
的定义域为
,且
,所以函数
是偶函数.
(1)请沿着该同学的思路继续研究函数
的其他性质;
(2)若函数
在区间
上存在最大值和最小值,且最大值为
,请直接写出m的取值范围;
(3)若对
,函数
的图象都在直线
的上方,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d8f44731fc4a3d330f113d827c5da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d8f44731fc4a3d330f113d827c5da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384e43a54d9732f54927b5e587ba937f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)请沿着该同学的思路继续研究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f5688954bb4b46c94fe14a1cc6bdd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3627e4ccde7d69c49034a4a2d10bee5.png)
(3)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcf17d032f3e652e2b5cc50789bf3de.png)
您最近一年使用:0次