名校
1 . 对于三个实数
,
,
,若
成立,则称
,
具有“性质
”.
(1)试问:
①
,0是否具有“性质2”?
②
,0是否具有“性质4”?
(2)若存在
及
,使得
成立,且
,1具有“性质2”,求实数
的取值范围;
(3)设
,
,
,
为2021个互不相同的实数,点
均不在函数
的图象上,是否存在
,
(
),且
,
,使得
,
,具有“性质2020”,请说明理由.
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc2f92f315e8bf4d79d95f5922ea7e2.png)
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)试问:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e913728ca57b21e0d587fea4c8d165d.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac83ea73ae5c64224caabb0099ac9ac.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e49d9fe83eeb890033c2cabf8e6fde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676726202518b26210dc18702f012890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37ccc1df1e9a97417f8b11efad5f66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1588a932802c18025ef77bdb042e80a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11655cca4069cdd8578e1a02711cb049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a17fe5dd1cf4a71a2a19eb5efc57a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ba53b2b7c6948ccbd70c46f7e0862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8ea893d278bb50bbe6a2b33b9c25be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6ba141730fd5aae78ada1a8eb17d21.png)
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