解题方法
1 . 设实数
,函数
.
(1)若
的最小正周期是
,求
在
上的最大值与最小值;
(2)若
在
上有且仅有2个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eaa6cbe72e34aab6c31a1f651a51397.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad1dfb10a0ad4195a890223f40a2147.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d6a66a015ddd2a8076f35ed191927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-12-29更新
|
981次组卷
|
2卷引用:广东省佛山市顺德区2020-2021学年高一下学期竞赛数学试题
名校
解题方法
2 . 如图,OPQ是半径为2,
的扇形,C是弧PQ上的点,ABCD是扇形的内接矩形,设
,若
,四边形ABCD面积S取得最大值,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a42094fcc37954384a12a626ab5440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b710be34d39a3058bad08e397849e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f8783429be686df75afcd56e847dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://img.xkw.com/dksih/QBM/2023/2/15/3175050697228288/3179764983521280/STEM/9de0199207b1475aa448293eba86fab0.png?resizew=262)
您最近一年使用:0次
2023-02-21更新
|
1298次组卷
|
6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
真题
名校
3 . 已知
均为锐角,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
.则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e979f1720096d58dd316b03843c2fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b5bb47ea526e3e383897ece150c3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充分必要条件 | D.既非充分又非必要条件 |
您最近一年使用:0次
2022-03-06更新
|
465次组卷
|
2卷引用:黑龙江省鸡西实验中学2020-2021学年高中教师命题大赛数学试题
名校
4 . 当
时,不等式
恒成立,其中常数
,则实数
的取值范围_____________ .(答案用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72338b93ad292b89485c65fe035718d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 在
中,“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7329c2f3ecf1182c8484d3bd1b0693.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2021-11-11更新
|
429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
6 . 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
|
376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
7 . 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
名校
解题方法
8 . 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
|
690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
9 . 给定
.若
共取有限个不同值,证明:x,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596e69bb701c3cabbfe11848b349366c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69160111209ee77c2d6449a73227438.png)
您最近一年使用:0次
解题方法
10 . 求证:对任意的
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209559aca6bf32705588b6a40e0b7320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129dcd8a7c5e024790ea5f08712b3ce2.png)
您最近一年使用:0次