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1 . 某小区为了扩大绿化面积,规划沿着围墙(足够长)边画出一块面积为100平方米的矩形区域
修建花圃,规定
的每条边长不超过20米.如图所示,要求矩形区域
用来种花,且点
,
,
,
四点共线,阴影部分为1米宽的种草区域.设
米,种花区域
的面积为
平方米.
![](https://img.xkw.com/dksih/QBM/2020/11/13/2592241780277248/2603234270298112/STEM/ecff7960cfcc4a50b95634c396098909.png?resizew=243)
(1)将
表示为
的函数;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e33d08d700d90ee3e20ca534651fb4.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a3d679b4dae63575903387a76ce45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e33d08d700d90ee3e20ca534651fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae038d8b7c826654048734d8df3078c.png)
![](https://img.xkw.com/dksih/QBM/2020/11/13/2592241780277248/2603234270298112/STEM/ecff7960cfcc4a50b95634c396098909.png?resizew=243)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e42f8f84a31f60237b44e7eef98c6e7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae038d8b7c826654048734d8df3078c.png)
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2020-11-29更新
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3卷引用:江苏省南京师大附中2020-2021学年高一上学期期中数学试题
江苏省南京师大附中2020-2021学年高一上学期期中数学试题江苏省南通市2020-2021学年高一下学期期初数学试题(已下线)2.2 基本不等式(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第一册)