名校
解题方法
1 . 在区间
上,若函数
为增函数,而函数
为减函数,则称函数
为“弱增函数”.已知函数
.
(1)判断
在区间
上是否为“弱增函数”;
(2)设
,且
,证明:
;
(3)当
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acaa791feb147bd1a8bf5eb4f81a0cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6c51c0949fafc3fe5f1d39cde5377d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109d06b8be2e402b5ffbb0aeb501009.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e32125207addc3fdb92ceb0ec80ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce6dbb58d695293227a93780755213e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83f4840fc42695f1f49832015521c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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名校
解题方法
2 . 三个互不相同的函数
与
在区间
上恒有
或恒有
,则称
为
与
在区间
上的“分割函数”.
(1)设
,试分别判断
是否是
与
在区间
上的“分割函数”,请说明理由;
(2)求所有的二次函数
(用
表示
,使得该函数是
与
在区间
上的“分割函数”;
(3)若
,且存在实数
,使得
为
与
在区间
上的“分割函数”,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7389d52e6aad9c9c0fb7d9b820bdb86c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212983432fdb9bb12719fc9be4b410d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61157daf46974d1a08cd4b465a92abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf539cf2851e1fbaf08845506a069819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e0e7bfdc55e8a26a7db4952d9ccc5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05ba1bc6c7bc24879b2a17ef2351c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572f286fb45b2757af63569ae0bc2e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
(2)求所有的二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154b365001d4d23ea096b4a55ad42ae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca8b76236aa2fcdd30d2f1915f0c748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05ba1bc6c7bc24879b2a17ef2351c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23afc43a8c5b8cfe6bf2a1caed920c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a06e1578853d2072cef33395de8784d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ceee0ff5c929d67de3c294e027c9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aea89f800e9af713ec91e00fb287008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ed21127710fb6adcf694bd14aff321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
2023-04-13更新
|
977次组卷
|
5卷引用:第5章 函数的概念、性质及应用单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)
(已下线)第5章 函数的概念、性质及应用单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)(已下线)重难点04导数的应用六种解法(1)上海市黄浦区2023届高三二模数学试题上海市市北中学2024届高三上学期10月月考数学试题河北省衡水中学2023届高三下学期第五次综合素养测评数学试题
2021高一·上海·专题练习
3 . 对于定义在
上的函数
,点
是
图像的一个对称中心的充要条件是:对任意
都有
,判断函数
的对称中心______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66c5f00b5b38a2d052354b5611970e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317e45d40690a7bc3e42bc5f0fa98309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e823226dd56a4cc4b973a4cfef866b7.png)
您最近一年使用:0次
2021-08-31更新
|
1872次组卷
|
6卷引用:第13讲 函数的对称性与周期性-【提高班精讲课】2021-2022学年高一数学重点专题18讲(沪教版2020必修第一册,上海专用)
(已下线)第13讲 函数的对称性与周期性-【提高班精讲课】2021-2022学年高一数学重点专题18讲(沪教版2020必修第一册,上海专用)(已下线)第五章 函数的概念、性质及应用(6大易错与5大拓展)(2)-单元速记·巧练(沪教版2020必修第一册)(已下线)专题06 函数性质综合小题归类-【巅峰课堂】(人教A版2019必修第一册)(已下线)专题2-2 中心对称、轴对称和周期性归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)第01讲 函数的概念与性质(讲)-2023年高考数学一轮复习讲练测(全国通用)(已下线)专题2-1 函数性质及其应用(讲+练)-1
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/f6aeee0a-c304-4b66-836b-515cadc2e475.png?resizew=137)
(1)求
与
的值;
(2)设
的三个角
、
、
所对的边依次为
、
、
,如果
,且
,试求
的取值范围;
(3)求函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326d5521d697c3f69a2574d9599f973.png)
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6a1a187bee0ac1a1a7849bfd06b17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1459ed6a7d1dc04ea2f0f38813df11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/f6aeee0a-c304-4b66-836b-515cadc2e475.png?resizew=137)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/83596176a9b25814fd6b309c56520273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060b0f7f488b28d57e8d6d87abaa2056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326d5521d697c3f69a2574d9599f973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a09894a5af03a3d4b7d9d010e8876b.png)
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