名校
解题方法
1 . 已知二次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4de930aa9ee8819f9a0c219133c78c8.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cf789558978c3933c5d48b9d9e619.png)
(1)若
,且对
,函数
的值域为
,求
的表达式;
(2)在(1)的条件下,函数
在
上单调递减,求实数
的取值范围;
(3)设
,
,
且
为偶函数,证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4de930aa9ee8819f9a0c219133c78c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a69af0799ec8b715676ebb5bb47abce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cf789558978c3933c5d48b9d9e619.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbca2aa7910ebfd6021486d94fdee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cce332317884d04b38b1ebe8a50d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)在(1)的条件下,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d2bddd82a3123cb0fb1d2a009220dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb3a6dd56a394ba7f4fd66007bd17ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98eb2bcddfbd6a2de44770f5569cd38.png)
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