名校
解题方法
1 . 已知函数
的值域与函数
的定义域相同,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2957e6f4ce12618d03b0df6e089e757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-09更新
|
431次组卷
|
3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
2 . 已知函数
,其中a,b,
.
(1)当
时,求函数
的单调区间;
(2)若对任意
,都有
恒成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11976693acdf39ca341f1a2e115ba075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c47545bd5310d9c5c8de5f64a2a6e2e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5aa200de40134d6c0c865a9bc7ecb3b.png)
您最近一年使用:0次
3 . 已知函数
,函数
有四个不同的零点
,
,
,
,且满足:
,则
的值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a91e0607e0381f5e115be37c8294dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4929967211f1fd28d89ba87a6b8a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1bc168cfd8085bc1c0ad7b1b036a707.png)
A.-4 | B.-3 | C.-2 | D.-1 |
您最近一年使用:0次
2020-10-17更新
|
1310次组卷
|
5卷引用:浙江省温州市苍南县、龙港市2020-2021学年高一上学期“姜立夫杯”数学竞赛试题
名校
4 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5b203ced111a4c52e48eb9b4dc0cc1.png)
,若
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3396b3c4d14b9e9b64434add3c2e8874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5b203ced111a4c52e48eb9b4dc0cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f9ff380821259d311bb192ae889c604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6bf5a59f29633dc5d315070b4ffdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-06-24更新
|
686次组卷
|
4卷引用:浙江省杭州学军中学西溪校区2020-2021学年高一下学期3月计算大赛数学试题
5 . 给定正实数
,对任意的正整数
,
,其中
表示不超过实数
的最大整数.
1.若
,求
的取值范围;
2.求证:(i)
;
(ii)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba72a9bd4cffb5dbea68f3cc05c95c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
1.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062c6026df79d335604d21223ba13c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2.求证:(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69a414069ff1d5fc16594f7231aba4e.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22789db88931d4f2a22b67b9794cfd7f.png)
您最近一年使用:0次