1 . “函数
的图象关于点
对称”的充要条件是“对于函数
定义域内的任意x,都有
”,已知函数
.
(1)证明:函数
的图象关于点
对称;
(2)若函数
的图象关于点
对称,且当
时,
.若对任意
,总存在
,使得
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7f8871c0da18d18c0eaa5313861e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90386fd6b7dfd5399cd372fa9103c3.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac7c28099bfbb7dc2a45ad166eace05.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca40ec1d89d7959b07f5394435c0224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e121df04531e9275387071a88cb9bb8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
您最近一年使用:0次
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解题方法
2 . 定义在D上的函数
,若对任意
,存在常数
,都有
成立,则称
是D上的有界函数,其中M称为函数
的上界.已知函数
(
).
(1)若
是奇函数,判断函数
(
)是否为有界函数,并说明理由;
(2)若函数
在
上是以
为上界的函数,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db87f86dbee425d45545f8ed18480175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9163631ac547ec5e5df3105b3380fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8dd05b66bf393ce3f3994eaa1ca8ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3769546574544891df832f1e64b28244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc87ef7f6d73e31847e3d09c6e81063f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f1a3feca6218955446108ebad0a524.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51178403a78ceb951b0397ab0fc131aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
您最近一年使用:0次
2022-01-14更新
|
437次组卷
|
2卷引用:四川省资阳市2021-2022学年高一上学期期末数学试题