1 . 已知函数
,其中
,
为实数且
.
(1)当
时,根据定义证明
在
单调递增;
(2)求集合
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9021fa0cc7427f534fbf1ec1db79c4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0070f5fd205c3c48a41bd865a7049b.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac3810dfe2b1eb718bae23bf0bab35e.png)
您最近一年使用:0次
2 . 已知函数
,满足:(ⅰ)对任意
,都有
;(ⅱ)对任意
都有
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d568f65771bdbbf9b5d6a4188546f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/772c871658656926de9754ec28490155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958c91e0cc2cf4f17acb778de21846b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c199c596534dd80309fc1caf4c96b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ab37b80e606f9cbe65e3ec07fafe50.png)
A.54 | B.66 | C.81 | D.89 |
您最近一年使用:0次
解题方法
3 . 设函数为
上的增函数,令
.
(1)判断并证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5226c58ca852742dca2b380d1fd4042e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a4d51c0394ade8f125957afaa6e994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93e1aa555d1670dfed9c8861bed364d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次