名校
1 . 已知函数
是定义域为
的奇函数
(1)求证:函数
在
上是增函数;
(2)不等式
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963dd8addcc9c3079b849a57b3a86a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8c0336690ecaa2e5f9adc8813e739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 定义在R上的单调函数
满足:
.
(1)求证:
是奇函数;
(2)若
在
上有零点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be798dd7fdf9214c213c7dbffe7a0108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfe8e7fb253685e0e50bae0c5482314.png)
您最近一年使用:0次
名校
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95f260b9737f70f17646917183a40ad.png)
(1)求证:
;
(2)若对任意的
,使得
有解,求实数
的取值范围;
(3)若
时,函数
有四个不同零点,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95f260b9737f70f17646917183a40ad.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c6f85f180e3c7c68176095df1c97f.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b63a87545fb8a1913ad16e376d42bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b9988f2ccf9dee758e40cf4f6145a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674a829d1fb95cb606d9a8b989ac35a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8535d29e8d468ab907ca4cb801fb65fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-08-21更新
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1884次组卷
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2卷引用:广东省韶关市2016-2017学年高一下学期期末考试数学试题