1 . 已知函数
,
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4a29fd093745c5c8602450709d66b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9ce4e82eec17b60cc0cf34f0394e42.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.对于![]() ![]() ![]() |
D.对于![]() ![]() ![]() |
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名校
解题方法
2 . 下列大小关系正确的是( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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解题方法
3 . 若函数
的值域为
,则实数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24539371dc17991516791bac2294016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
4 . 已知函数
.
(1)若函数
为定义域上的偶函数,求实数
的值;
(2)当
时,对
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8dd7744abed42567cf35763aae2238b.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/bd5f8941b5c329baa56a6088107c53bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2bf371eb8973bb99dd8dc010b0297f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
.若
,不等式
恒成立,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b919a59954cf503f515e45573deba6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9f109b7ce6ec37e69d54ec70643c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . “学如逆水行舟,不进则退
心似平原跑马,易放难收”,
增广贤文
是勉励人们专心学习的
如果每天的“进步”率都是
,那么一年后是
如果每天的“落后”率都是
,那么一年后是
一年后“进步”的是“落后”的
倍
现假设每天的“进步”率和“落后”率都是
,要使“进步”的是“落后”的
倍,则大约需要经过
参考数据:
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b0e787c1d82071c825975348698f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461950348087cdb06ec28d7569d14c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a317f002fd3ae7f3b041d4078e81fe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06640c165056a952b81b13d625f264ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a317f002fd3ae7f3b041d4078e81fe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a714f6374d4745278ba68ddd0b83ace9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77f141d562af3acb28e30ab6e8ded45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ee628efd6b2f7296c106dd5cbae42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282724a3b2b45f1966a91389fdcedfcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ace072593edc71ae045a7650241f88.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 已知函数
,
.
(1)求
的最大值;
(2)若对任意
,
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3c95fa881ab6761e0da3a5f1d50f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5f3a56cf4ffdc7740752c85aa6e898.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecea86a48d471af5a152340b43c9da5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4985e9c782063e89a206196f9354ddee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-01-06更新
|
342次组卷
|
3卷引用:浙江省杭高三校2023-2024学年高一上学期期末数学试题
名校
解题方法
8 . 若函数
在
上单调递减,则实数
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2e228a79d9e58518de5b85d2d7b925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知
,
,
,则下列不等式可能成立的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a87a76fa45afe960f1d3458aa76a58e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad34c6616ef029aa1ea160555f48790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c57d302f2d0eb50746d4d1f06af77a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 定义:函数
的定义域为
,且任意
,存在
,使得
,则称
为“好函数”.已知
,
.
(1)当
时,判断
是否为“好函数”,并说明理由;
(2)若
为“好函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcc342b78b8c829d22ef5325354abed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa85cfccbe987335dd8f64262467486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f55898443df4490e50b1f893ddbfc54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9089f009b8cff878124922648a9f92b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次