名校
解题方法
1 . 已知函数
满足
且
为奇函数.
(1)求
的值;
(2)判断
在区间
上的单调性;
(3)当
时,若对于任意的
,总有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6c326cc9d98fe43a1ef99174ec5101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d660b2fbb91d3877318b3ecb18ef5446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a6c3b8663fc8274d946cec4b5bfbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
2 . 设非空实数集
中存在最大元素
和最小元素
,记
.
(1)已知
,
,且
,求实数
.
(2)设
,
,是否存在实数
,使得
?若存在,求出所有满足条件的实数
,若不存在说明理由.
(3)设
,函数
在区间
上值域记为
,若对任意
,函数都满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc6d063c729ead63517594e355600a8.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4ab0a21457d9bda0c4c2920846ed4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870016ae8c86ab9743ea08abe8524b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab45f61b9961397eb1c6c467a7526d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c6dfc58e55c7542b4164feb1280ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8bacb6f4dbd204504f1299a443e0d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad986dfa21d3289298ba469baaf6552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46aad39c3617bc635aec113d2ec52bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaca9c1dac608a386df1848e8459ce9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb848c2e3353bcb126d14fed803fe2a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7562646285aeb2167c2734b4d2fdf91a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
3 . 设函数
是定义在
上的函数,若存在
,使得
在
上单调递增,在
上单调递减,则称
为
上的单峰函数,
称为峰点,
称为含峰区间.
(1)判断下列函数中,哪些是
上的单峰函数?若是,指出峰点;若不是,说出原因:
①
,②
;
(2)若函数
是区间
上的单峰函数,证明:对任意的
,
,若
,则
为含峰区间;若
,则
为含峰区间;
(3)若函数
是区间
上的单峰函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e953a254e24b408dfcecffac161580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adadc4c82ed03710cb917d552ac6e1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd33dd2e1b404daf7c1cbbf147ab7f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
(1)判断下列函数中,哪些是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06aa7e8049fd1144ed3eed08023832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f8c7c55e8bb8b490e374041df9f338.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01b424cd6859d55f2e1ba4c80d2c8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ce40da2cbd52723210bbfa98a7f81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14283f108568721e6d9ec8d42036be33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba30f1aa5e75750c67b142fc1d7837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2a570f0086433e604736679f7192c3.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffcdf84c6476c0d046035d49d423287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b2e67cd10ebbced3d964ab0dc5c298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 已知函数
是奇函数(
,且
).
(1)求
的值;
(2)若
时,
的值域为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1a4fa622dcfa9d561ea48fdf085a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f107318d3ccad8ac914daf37c36bc72b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
5 . 若
对任意
恒成立,则实数
的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b595f9784af35c47b2e00af58942483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-11-16更新
|
2605次组卷
|
6卷引用:上海市第二中学2020-2021学年高一上学期期末数学试题