名校
1 . 函数
图像上存在两点
,
满足
,则下列结论成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329d1214589aa92c8fe583d97a31f2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f56635924584077092ac3c7dd68837b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce32bcbc07c12f0d60a36403dcbf6872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c803c3e37110d2541dfa3dc3eb8cbee0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 若函数
的图象恒过
和
两点,则称函数
为“
函数”.
(1)判断下面两个函数是否是“
函数”,并说明理由:
①
;②
.
(2)若函数
是“
函数”,求
;
(3)设
,定义在
上的函数
满足:
①对
,均有
;
②
是“
函数”,求函数
的解析式及实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a359f9aeb5add5377519c6f7650ae6f.png)
(1)判断下面两个函数是否是“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a359f9aeb5add5377519c6f7650ae6f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e0f9a2c91af4b28879a32fb027fc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6ee41a3a8869cd2f4d9f230d008741.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17afd02a58c3d3c25ac4f8cab171e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a359f9aeb5add5377519c6f7650ae6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93e7062f9483ecc0bc8f40916a7824a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
①对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ba6d93a671ca21730facc7fbf052c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae03ea9aabc605c52dada45c5b0502f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c50bb5280d82386a5496ff8f4434661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a359f9aeb5add5377519c6f7650ae6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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