名校
解题方法
1 . 已知函数
.
(1)判断函数
是否具有奇偶性?并说明理由;
(2)试用函数单调性的定义证明:
在(-1,+∞)上是增函数;
(3)求函数
在区间[1,4]上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b42ec94a554c8faacadd7c14ff7bc9.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)试用函数单调性的定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2021-12-12更新
|
1282次组卷
|
6卷引用:北京市朝阳区北京工业大学附属中学2023-2024学年高一上学期期中考试数学试题
名校
2 . 已知函数
.
(1)若
为奇函数,求
的值;
(2)当
时,求函数
在区间
上的最大值;
(3)若
,函数
的图像恒在
图像下方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee490d00fba4b9990b083af307f27133.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979b19f87f2c7e171d6061d56cb7bf8.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1724fcc66ed8c39c7516469e42b0c789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49636685bca80ed0864d65d829973f8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-11-11更新
|
376次组卷
|
2卷引用:北京市朝阳区北京工业大学附属中学2023-2024学年高一上学期期中考试数学试题
名校
解题方法
3 . 已知函数
,且
在
上恒成立,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3db6b23ab3f0774d2018b008d5b7ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
.
①当
时,
的值域为______ ;
②若对于任意
,
,
,
的值总可作为某一个三角形的三边长,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9a76a25f01cb8c92c6e15f25a6bcdb.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baca30d4248a82988890bd032d159b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-01-27更新
|
571次组卷
|
2卷引用:北京市朝阳区2020-2021学年高一上学期期末数学试题
名校
5 . 已知
(
且
)在区间
上的最大值与最小值之和为
,
,其中
.
(1)直接写出
的解析式和单调性;
(2)若
对
恒成立,求实数
的取值范围;
(3)设
,若
,使得对
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86edfe2b64fbee30eae4fc6bcf4a91cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad82fa37dff30a4c54465ff7ef9f7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b1b3b5e2835c2ad5ac322f1d0528da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc76aeee5384a57a6d4628e5d9a3e24d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99af354040b6409d75cebc6de0c7d455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e84ef8c766ebcfe18c1e97e12a0d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5c8a8f062ed3f19340df0a8bf487c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384b5baeabacf505069f812236945dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
6 . 已知函数
,
.
Ⅰ
当
时,求
的最大值;
Ⅱ
若函数
为偶函数,求m的值;
Ⅲ
设函数
,若对任意
,总有
,使得
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831d688173ee3f4cad84fb1b37bdf339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ebfef550eec07598671c5929259780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca208a68dd37e00903085736eafdedb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362d88c407c66f150cf7634c413b896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79cb2efcc6dfc85706feab475c01782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cb4168aa34338d2d1ab81bb921f2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb8c3175cd3da7ec9d59962570152da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3625f5f77c014036d8749a38ba443029.png)
您最近一年使用:0次
2019-03-13更新
|
1128次组卷
|
5卷引用:【区级联考】北京市朝阳区2018-2019学年高一年级第一学期期末质量检测数学试题
【区级联考】北京市朝阳区2018-2019学年高一年级第一学期期末质量检测数学试题四川省宜宾市第四中学校2019-2020学年高一下学期第一次在线月考数学试题(已下线)第02章+一元二次函数、方程和不等式(B卷提高篇)-2020-2021学年高一数学必修第一册同步单元AB卷(新教材人教A版)四川省棠湖中学2019-2020学年高二上学期开学考试数学(理)试题四川省棠湖中学2019-2020学年高二上学期开学考试数学(文)试题
2010·河南驻马店·一模
名校
解题方法
7 . 设
与
是定义在同一区间
上的两个函数,若对任意
,都有
成立,则称
和
在
上是“密切函数”,区间
称为“密切区间”.若
与
在
上是“密切函数”,则其“密切区间”可以是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e55202dd9808d8a56612ebb25b005e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1697cd07776ad0f527c28ac365779079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e62e7482ee75b0768111a4df5f0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-01-30更新
|
679次组卷
|
11卷引用:北京市朝阳区北京工业大学附属中学2023-2024学年高一上学期期中考试数学试题
北京市朝阳区北京工业大学附属中学2023-2024学年高一上学期期中考试数学试题2014-2015学年福建省泉州一中高一上学期期中考试理科数学试卷江西师大附中2017-2018学年上学期高一数学月考试卷湖南省长沙市第一中学2017-2018学年高一上学期期中考试数学试题安徽省滁州市民办高中2018-2019学年高一上学期第三次月考数学试题(已下线)河南省驻马店高中2010届高三一模(数学文)(已下线)2011届福建省厦门双十中学高三第一次月考理科数学卷(已下线)2014届湖北襄阳市襄州一中等四校高三上学期期中联考文数学试卷(已下线)2015届福建省安溪一中、德化一中高三9月摸底考试文科数学试卷(已下线)专题2.1 函数及其表示(精练)-2021届高考数学(文)一轮复习讲练测(已下线)专题06 信息迁移型【讲】【北京版】1