1 . 下列说法正确的序号是( )
A.偶函数![]() ![]() ![]() |
B.设![]() ![]() ![]() ![]() ![]() |
C.奇函数![]() ![]() ![]() ![]() |
D.若集合![]() ![]() |
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解题方法
2 . 已知函数
,
,若
,
,使得
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5effb3053cf609f59178641cd48167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdffac17d32ecb007f0e3621d7131296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2320ba0f4b3de03fc4c7b4e3de5b71cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e73cb4bb8f79345724065792a1c8f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-01-15更新
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5卷引用:辽宁省辽南协作体2022-2023学年高一上学期期末考试数学试题
解题方法
3 . 设函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c6b3eeb7b7dc53a6dbd5170385a5b9.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2023-01-14更新
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4卷引用:辽宁省辽阳市协作校2022-2023学年高一上学期期末考试数学试题
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解题方法
4 . 一般地,若
的定义域为
,值域为
,则称
为
的“
倍跟随区间”;特别地,若
的定义域为
,值域也为
,则称
为
的“跟随区间”.
(1)若
为
的跟随区间,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
(2)若函数
存在跟随区间,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9d1778f55bcff7aa281491f1973b9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2911984487742f5f7185b8b5820b295d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17dda3a1bd83367abc5872797e424bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0adb987aba7b0ce7d5025ab957aad8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8卷引用:辽宁省沈阳市东北育才双语学校2021-2022学年高二下学期期中数学试题
辽宁省沈阳市东北育才双语学校2021-2022学年高二下学期期中数学试题(已下线)专题2.3 函数的定义域与值域-重难点题型精讲-2022年高考数学一轮复习举一反三系列(新高考地区专用)山东省济南市商河县第二中学2020-2021学年高三上学期期中考试数学试题湖南省常德市临澧县第一中学2022-2023学年高一上学期期末数学试题(已下线)模块六 专题2 全真基础模拟2(已下线)期末真题必刷压轴60题(10个考点专练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷压轴60题(22个考点专练)-【满分全攻略】(人教A版2019必修第一册)(已下线)模块六 专题6 全真拔高模拟2 期末研习室高一人教A
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5 . 已知
是1,2,3,
,5,6,7这7个数据的中位数,且1,2,
,
这四个数据的平均数为1,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c120bfaa6e014c2e42b762a23e254282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4203ccab4a98c3a90f99a8e96ccf864b.png)
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7卷引用:辽宁省沈阳市第一二〇中学2022-2023学年高一上学期期末数学试题
辽宁省沈阳市第一二〇中学2022-2023学年高一上学期期末数学试题(已下线)第九章 统计 (单元测)(已下线)总体集中趋势的估计(已下线)9.2.3 总体集中趋势的估计(精讲)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)第九章《统计》单元达标高分突破必刷卷(培优版)(已下线)期末专题10 统计综合-【备战期末必刷真题】(已下线)第9章 统计 单元综合检测(重难点)-《重难点题型·高分突破》(人教A版2019必修第二册)
名校
解题方法
6 . 已知函数
,
.
(1)若函数
在区间
上的最小值为
,求实数m的值;
(2)对于任意实数
,存在实数
,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb00808617c39c76f78700a527bb9369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9a17473fba8249a0e8972efacf0573.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(2)对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba67293b8d2c271e7993d1c4abd5e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17641d15644d5fb2c79fd1016b21520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca3b1f02a33e3370d59d60cf58682a6.png)
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6卷引用:辽宁省沈阳市沈北新区东北育才学校(双语校区)2022-2023学年高一上学期期末数学试题
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解题方法
7 . 已知
,x为实数且满足
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f536c9ef7b38b21d03395272b6000b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d1d9216dd3cd659ff50bbdb03a9447b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2卷引用:辽宁省沈阳市东北育才学校2022-2023学年高一上学期期末数学试题
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解题方法
8 . 已知函数
是定义在区间
上的奇函数,且
,若对于任意的
,都有
.
(1)判断函数的单调性,并给出证明;
(2)若
,存在
,对于任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c9462c98381290a22e97c993ad7108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22fd64aea16406c6d1f8c4779aaecb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef7f1625721af5314e8518f26c080e1.png)
(1)判断函数的单调性,并给出证明;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982a6ec26dedf89e72ddaabfa6670183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10dd628a48cf11a09a49d38b40d1ce26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
9 . 若对任意的
均有
成立,则称函数
为函数
和函数
在区间D上的“N函数”.已知函数
,
,
,且
是
和
在区间
上的“N函数”,则实数k的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b773c65ba6e0c7b528f59109cae775.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f845ab69259cc445e79231b8b24a526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208fe298b2c69ed60143e4f500fc25cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17deb91ca85e675b36c713f11a490cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
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10 . 已知函数
,
,
(1)若对于任意的
,总存在
,使得
成立,求实数
的取值范围;
(2)若不等式
对
及
都成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fe961c6cc4aeb1922d8f4570458af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4158d0c2a3748dba44198ce82ef5759c.png)
(1)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff565afbddafe8625ef376d7eb3fa649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c93e8603be430538eb76d6337e75e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cce05257bd42935b837b849945ef410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51439216ff312677735b7c68e1c53f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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