名校
解题方法
1 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若对任意的
,不等式
恒成立,求
的最大值.
(3)对于函数
,若
,
,
,
,
,
,满足
,则
为“可构造三角形函数”,已知函数
是“可构造三角形函数”,求正实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeaac706bcdd57fe55819cd4a7b1e58.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2800d0f4f1b3817b42b6361249a04bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108f1f582ef09427373f92b7b4f2ad8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f276b82d4e984675615cc27f9a764cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9b582f8426f1269b54ee910b97f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49570402aa09e78a4b821c60e2e6881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12817154884fb1665cd99f7c722bad3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df2d4b60d56bdd78bc6c243fc3711bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
2 . 已知二次函数
.
(1)若f(x)>0的集为
,求
的解集;
(2)当a>0时,若f(x)=0在(0,2)内有两个不等实根,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ca9aa77f3c45afd7f2f582e52c8fa3.png)
(1)若f(x)>0的集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150ec0569fc2e850a73881c3133c423d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923c4c4639e16aed82c1ef7a5b60de8c.png)
(2)当a>0时,若f(x)=0在(0,2)内有两个不等实根,求实数a的取值范围.
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