在一幅长![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
,宽![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
的矩形风景画的四周镶一条金色纸边,制成一幅矩形挂图,如果要使整个挂图的面积是
,设金色纸边的宽为
,要求纸边的宽度不得少于
,同时不得超过![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/eb90770b-0659-441a-87fa-ccd685fd3977.png?resizew=173)
(1)求出y关于x的函数解析式.
(2)当挂图面积为
,时,求金色纸边的宽.
(3)此时金色纸边的宽应为多少
时,这幅挂图的面积最大?求出最大面积的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d740004cfdade4c185f722dadc27e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048b61a5fb5f420c6d7de88db5bc3aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/eb90770b-0659-441a-87fa-ccd685fd3977.png?resizew=173)
(1)求出y关于x的函数解析式.
(2)当挂图面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4ee37f84e9c82a01d883f8cbbcc7e.png)
(3)此时金色纸边的宽应为多少
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
更新时间:2023-11-05 11:09:38
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【推荐1】如图,要利用一面墙(墙长为
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【推荐2】
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