名校
解题方法
1 . 对给定的实数a,b,q,其中
,
.如果函数
,
:满足(1)对任意的
,
且
;(2)对任意的
,
.则称
为在区间
上的一个“q-压缩函数”.区间
上所有“q-压缩函数”构成的集合记作
.
(1)判断下列函数,是否属于集合
?(直接写出结论)
①
②
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e8d2d66b432fd2b8a2830ba21e5dd.png)
(2)设
,若
求实数a的取值范围.
(3)设
.若对任意的
,
,均有
,求M的最小值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae99e050d0f1cfc0447304f06424d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48318c1b3f9dffc48e3ce0626b277e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664c92988d61280ed12488f270151940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a8b4f05d2ba1a5514ebf390dbbd325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.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/a293e0b4f751f4102c795b567a633194.png)
(1)判断下列函数,是否属于集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c564b7a711c6ac5945a0d41b2564c8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a740cdaca0afce73f68c890f86acc6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef72cf8297d91045117d50b4e9d3476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e8d2d66b432fd2b8a2830ba21e5dd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0e64d809acabedccf8a8516ff8b6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c109bacd687055d3a6a79978dfa7c0e.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e39b23fb1290ed449f1700c42c3efc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfcd04b625189228b6d697edf095f7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c97169936ca9785dfca39ca368c65c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0aa28b363cb79e6f8988b9b2bad7dc.png)
您最近一年使用:0次
名校
2 . 已知对于任意
均成立.
①若
,则
的最大值为_____________ .
②在所有符合题意的
中,
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb4e3512b6d77c3ffe6b6da45500bf1.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②在所有符合题意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
您最近一年使用:0次
名校
3 . 已知函数
,
,现有下列结论:
①
至多有三个零点;
②
,使得
,
;
③当
时,
在
上单调递增.
其中正确的结论序号是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fa4137b76d72ae83f9358c4b2aa74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c12f4750768903b78512939bb5d4aec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33d41d398944a02f613784ff1ceeaf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b0e78287fe76a94a87976332159553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
其中正确的结论序号是
您最近一年使用:0次
2021-08-04更新
|
918次组卷
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4卷引用:北京市大兴区2020-2021学年高二下学期期末数学试题
北京市大兴区2020-2021学年高二下学期期末数学试题北京市一零一中学2021-2022学年高二下学期数学统练试题(三)(已下线)5.3.1 单调性-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 山东省临沂市2021-2022学年高二下学期期中数学试题
名校
解题方法
4 . 能够满足“对任意
,
总成立”的一个
值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f08256649b1860805b6aa675f84d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
,
,直线
分别与函数
,
的图象交于
,
两点,
为坐标原点.
(1)求
长度的最小值;
(2)求最大整数
,使得
对
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d70266454df40256268b19b055a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253893d2bf2b944a6de271463c3e7929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c54303562f332ec80a2ec8519fe9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(2)求最大整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c58b4647449b68271e87ae089ba404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfd2865d975b5632fea7659c5a4f36d.png)
您最近一年使用:0次
2021-04-29更新
|
1017次组卷
|
6卷引用:北京工业大学附属中学2021-2022学年高二3月第一次月考数学试题
北京工业大学附属中学2021-2022学年高二3月第一次月考数学试题江西省南昌市2021届高三二模数学(文)试题(已下线)押新高考第22题 导数-备战2021年高考数学临考题号押题(新高考专用)(已下线)专题38 导数的隐零点问题必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)押新高考第22题 导数-备战2022年高考数学临考题号押题(新高考专用)宁夏吴忠市2023届高三下学期一轮联考数学(文)试题