名校
1 . 若函数
在区间
上的值域为
,则称区间
为函数
的一个“倒值区间”.已知定义在R上的奇函数
,当
时,
.那么当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
______ ;求函数
在
上的“倒值区间”为______ .
![](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/db355ff4eb6f6b79670b74fb0b6808af.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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d93eb1f0a8d7949f4e4fbde21a59c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eef34feb866c89813b94cf4f0c7074f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74a01d149399210cc1ce429a5b2b20e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
2022-01-26更新
|
408次组卷
|
4卷引用:浙江省温州市苍南中学2023-2024学年高一上学期数学家摇篮竞赛试题
解题方法
2 . 已知函数
,
.
(1)若函数
在定义域上单调递减,求实数
的取值范围;
(2)若
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d668df21df1a32c726e9d75fa3dda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d668df21df1a32c726e9d75fa3dda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd85d4af7dfca7633dd9ca7993ec4d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a399a276e30510e557b42ee5db5510b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8d4ab24c1b8c51a1af4b995c720864.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
.
(1)若
,求
;
(2)若
,
,
都为锐角,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea9f7848c47a6ac3a1b55fcea429942.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7e3c674336a90a38408bae2ec4c28f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ff741ddf4211f6f20b63220bc8893.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9435dd49ec2c619d84681c290426e7d4.png)
您最近一年使用:0次
2021-11-11更新
|
688次组卷
|
3卷引用:2021年浙江省温州市摇篮杯高一数学竞赛试题
4 . 已知函数
.
(1)若
,求函数
的单调增区间;
(2)若函数
的最大值为
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be06c1217f8dae92def5828e741f56c1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee974117bc7b5bcd0a7a6f9145e688e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
您最近一年使用:0次
2021-11-11更新
|
375次组卷
|
2卷引用:2021年浙江省温州市摇篮杯高一数学竞赛试题
解题方法
5 . 已知
表示不超过
的最大整数,若
,则方程
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a79dd4cbe90c7e2a09b279a44dfd690.png)
您最近一年使用:0次
解题方法
6 . 已知函数
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8255d540afdd24f608ab7ec231cff469.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1736d8eb1fb869a1cefb89734091919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8255d540afdd24f608ab7ec231cff469.png)
您最近一年使用:0次
7 . 已知实数
,
,
满足
,则下列说法正确得有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b883dd712e3d1154cdf2d60a917097.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知
,
,
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30ca44c34bbbec2dc253920717d613a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df070d604fa3c93f149dacfb5aba7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知
,满足
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c2710ccbb5ea6f98dd3470cacaf626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f8b9c86cb1d9975a2ffe4bc4629aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知正实数
,
满足
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97604a90cc9b633cc5b145cb61aab10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a79127d90f3eabcdd9c23853b45e7c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-11-11更新
|
657次组卷
|
4卷引用:2021年浙江省温州市摇篮杯高一数学竞赛试题