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解题方法
1 . 某公园有一块边长为3百米的正三角形
空地,拟将它分割成面积相等的三个区域,用来种植三种花卉.方案是:先建造一条直道
将
分成面积之比为
的两部分(点D,E分别在边
,
上);再取
的中点M,建造直道
(如图).设
,
,
(单位:百米).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/2f51c0c6-8cf9-4d25-8720-90a4cd772b14.png?resizew=155)
(1)分别求
,
关于x的函数关系式;
(2)试确定点D的位置,使两条直道的长度之和最小,并求出最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe103f073845122c66f22dcb14b711f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2633a6f46b0847158eebb05c743561aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4936815f060ae360655487ab91beaec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f631d69e982b36bd5315a2814aa7e4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/2f51c0c6-8cf9-4d25-8720-90a4cd772b14.png?resizew=155)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(2)试确定点D的位置,使两条直道的长度之和最小,并求出最小值.
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2020-04-17更新
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447次组卷
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3卷引用:2020届江苏省七市(南通、泰州、扬州、徐州、淮安、连云港、宿迁)高三下学期第二次调研考试数学试题