如图,用一段长为
的篱笆围成一个一边靠墙的矩形围栏(墙长
),若这个围栏的面积为
,求与墙垂直的一边的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1e0bd4fe8afb14b572852121cef83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea92883fe24b097c9a881ef8c92eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0d2fc279da590a219b3cf21824bc22.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/405e6bb5-07e3-417c-b933-89c1dd482579.png?resizew=230)
更新时间:2022-11-04 09:17:03
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【知识点】 与图形有关的问题(一元二次方程的应用)解读
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真题
【推荐1】为了便于劳动课程的开展,学校打算建一个矩形生态园
(如图),生态园一面靠墙(墙足够长),另外三面用
的篱笆围成.生态园的面积能否为
?如果能,请求出
的长;如果不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d4166fee97516ad1b1d4759a8e4ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86edef9c6f9c528ee29e408538dd864e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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较易
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【推荐2】如图,用一段长为
的篱笆围成一个一边靠墙的矩形菜园,墙长为
,其中一边
留一道
宽的门.
![](https://img.xkw.com/dksih/QBM/2020/11/9/2592123901378560/2610633033515008/STEM/1f229c176600440b8e1e607bedb72163.png?resizew=223)
(1)设图中
(与墙垂直的边)的长为
,请用含
的式子表示
的长并直接写出
的取值范围;
(2)若整个菜园的总面积为
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc14c6a20e143b0ebf84957f28ce9097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe859b79d37aae5f8f8211a7e29b25f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef959a420dc4a40d40e1960a68d1acce.png)
![](https://img.xkw.com/dksih/QBM/2020/11/9/2592123901378560/2610633033515008/STEM/1f229c176600440b8e1e607bedb72163.png?resizew=223)
(1)设图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f935c57deea934138d59bfa60bf8d86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若整个菜园的总面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8ba8bdbf66b86e3f27cc0b840d43b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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