名校
1 . 如图所示,公园内有一块边长为
的等边
形状的三角地,现修成草坪,图中
把草坪分成面积相等的两部分,
在
上,
在
上.
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572256703840256/1572256710049792/STEM/83b013e487864fcfa2ca1392c514964d.png)
(Ⅰ)设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832a361da851b54c6437a96488a1b987.png)
,试用
表示
的函数关系式;
(Ⅱ)如果
是灌溉水管,为节约成本希望它最短,
的位置应该在哪里?如果
是参观线路,则希望它最长,
的位置又在哪里?请给予证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e89b6eca35e34c863e832a2c661db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2015/10/10/1572256703840256/1572256710049792/STEM/83b013e487864fcfa2ca1392c514964d.png)
(Ⅰ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832a361da851b54c6437a96488a1b987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d70e5d13db498f1c8a2e017c56e58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(Ⅱ)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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2016-12-03更新
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714次组卷
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3卷引用:福建省厦门第六中学2021-2022学年高二上学期开学适应性练习数学试题