名校
1 . 将函数
的图象进行如下变换:向下平移
个单位长度
将所有点的横坐标伸长到原来的2倍(纵坐标不变)
向左平移
个单位长度,得到函数
的图象.
(1)当
时,方程
有两个不等的实根
,求实数
的取值范围;
(2)若函数
在区间
内恰有2022个零点,求
的所有可能取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bc4f19517c93d5712db744c58eacdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370f60b08759485072f1e43237788b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370f60b08759485072f1e43237788b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2818807dce7e9ec5514de572c3cc644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85a3f2ec346e0be06079c64c5069d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c21ef52449b48fdafdf9fc7b0c23f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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