名校
解题方法
1 . 函数
的定义域
且
,对定义域D内任意两个实数
,
,都有
成立.
(1)求
的值并证明
为偶函数;
(2)若
时,
,解关于x的不等式
.
(3)若
时,
,且不等式
对任意实数x恒成立,求非零实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6707ac168a79a883391ad0474dd5bdca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6b03f559451f20676eeefbc905a5e.png)
![](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/aae89402bada80f4b7ee48cef6462cf0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c79b9dee1fee3370111559a06857094.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7c59219ce621e0ddb45d5f52c59103.png)
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2021-11-29更新
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2卷引用:重庆实验外国语学校2021-2022学年高一上学期期中数学试题