1 . 在直角坐标平面中,O为坐标原点,抛物线
,L关于x轴对称的抛物线
的图象经过点
与点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96bb35b56efb9d86953473ab5cdd94e.png)
(1)求抛物线
的表达式;
(2)点D在抛物线
的对称轴上,连接
,
,
与
的对称轴交于B点,若
与
相似,求点D的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a8fc42c79d1c76fb9219e6205c5ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf90af48c665ee801c05cc55914b8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/993769b494e12c21dff0ee7c53a4a49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96bb35b56efb9d86953473ab5cdd94e.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf90af48c665ee801c05cc55914b8fd.png)
(2)点D在抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf90af48c665ee801c05cc55914b8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf90af48c665ee801c05cc55914b8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73636989e83905f8800a865c2b608c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
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2 . 某校九年级学生在数学社团课上进行了项目化学习研究,某小组研究如下:
如何设计纸盒?
选择“素材1”“素材2”设计了实践活动.请你尝试帮助他们解决相关问题.
设折成的无盖纸盒的侧面积为S,剪掉的小正方形的边长为
.
(1)求S与
之间的函数表达式;
(2)折成的无盖纸盒的侧面积是否有最大值?如果有,求出这个最大值和此时剪掉的小正方形的边长;如果没有,请说明理由.
如何设计纸盒?
选择“素材1”“素材2”设计了实践活动.请你尝试帮助他们解决相关问题.
素材1 | 利用一边长为![]() | |
素材2 | 如图,在正方形硬纸板的四角处各剪掉一个同样大小的小正方形,将剩余部分折成一个无盖纸盒. |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求S与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)折成的无盖纸盒的侧面积是否有最大值?如果有,求出这个最大值和此时剪掉的小正方形的边长;如果没有,请说明理由.
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2024-06-08更新
|
53次组卷
|
2卷引用:2024年陕西省咸阳市永寿县部分学校中考三模数学试题
3 . 如图,一次函数
的图象与
轴、
轴分别相交于
、
两点,与反比例函数
的图象相交于点
,
,
,
.
(2)点
是线段
上任意一点,过点
作
轴平行线,交反比例函数的图象于点
,连接
.当
面积最大时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ececd20089801c2228b63367418703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fc60319b08952303badbfda84c8046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a99044cdedf9e67bffd16a7eeeadf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe234c66fa40e787f784432fa6003f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96653a220742de8dcc261d8f65df605c.png)
(2)点
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15514bc735fe4b744672edefe00009c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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名校
4 . 如图,某校师生要在空地上修建一个矩形劳动教育基地
,该基地一边靠墙(墙长
米),另三边用总长40米的栅栏围成.
时,劳动教育基地的最大面积为___________
;
(2)当劳动教育基地的最大面积为150平方米时,
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae9149b4287d08fb74ac334e6b9e656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba007666deb89951641bd1e24bc174a2.png)
(2)当劳动教育基地的最大面积为150平方米时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-06-08更新
|
256次组卷
|
4卷引用:2024年安徽省合肥市中考二模数学试题
5 . (1)问题初探:在直角三角形中,两直角边的长度之和是10,当两直角边的长分别是_______、_______时,直角三角形的面积最大;
(2)问题解决:如图①,在一个
的内部作一个矩形
,其中点A和点D分别在两直角边上,
在斜边上,
,
,矩形面积最大是多少?在解决这个问题时,有一位爱动脑筋的同学通过作辅助线进行了转化,如图①,过点D作
,所以
,又因为四边形
是矩形,所以
,
于是
,那么求矩形
的面积最大,就可以转化为求平行四边形
的面积最大,设平行四边形
的边
,平行四边形
的面积为
,请你按这个思路继续完成这问题;
(3)问题拓展:如图②,矩形
中,
,
,点E是
边上的动点(点E与A、D两点不重合),连接
、
,点F是
边上的动点,过F作
交
于G,求
面积最大值.
(2)问题解决:如图①,在一个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80eff52574ec119d2f52fa165da837ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e70c1a2ee7155034a54dc615cc80813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa0f561388f1c3046b9c53e955a3d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289be94b23fc4ebe26181ae626dc9906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541211a3ae17d1f4a337f82bbb26717d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c220eadc312101e2fb89dfe920f7b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4575d28fdf870383eff0114a9e18830b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ea9ef4a5db6c65316d90ed2a9ed038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7398082f10073da5bfa37fd4c758af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7398082f10073da5bfa37fd4c758af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd99679fe64a8fa1020b7fcb1db9a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7398082f10073da5bfa37fd4c758af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b997be2976c30e6d78037f53a62ee41.png)
(3)问题拓展:如图②,矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df3b2901ad26337818f75e81448ebb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c545764505bb00578a870c5e39493a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a8ea7df6fb067a4ad237f77856a25c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e5e61804ce550636a0354e0a78a22d.png)
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6 . 某小型花圃基地计划将如图所示的一块长
,宽
的矩形空地划分成五块小矩形区域.其中一块正方形空地为育苗区,另一块空地为活动区,其余空地为种植区,分别种植
,
,
三种花卉.活动区一边与育苗区等宽,另一边长是
.
,
,
三种花卉每平方米的产值分别是100元、200元、300元.
,用含
的代数式表示下列各量:花卉
的种植面积是______
,花卉
的种植面积是______
,花卉
的种植面积是______
.
(2)育苗区的边长为多少时,
,
两种花卉的总产值相等?
(3)若花卉
与
的种植面积之和不超过
,求
,
,
三种花卉的总产值之和的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1611d15c7e1e4ab4a4a61537b3989d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585c0b361a3e508f3dbb27a40b2dad5e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb7404528c050f8b665081f7d6020c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
(2)育苗区的边长为多少时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(3)若花卉
![](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/cbc7677407a2c73ec628425f7f68f090.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/c5db41a1f31d6baee7c69990811edb9f.png)
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7 . 如图,一农户要建一个矩形鸡舍,为了节省材料,鸡舍的一边利用长为a米的墙,另外三边用长为31米的建筑材料围成,为方便进出,在垂直墙的一边留下一个宽1米的门.设
米时,鸡舍面积为S平方米.
(2)在(1)的条件下,当
为多少时,鸡舍的面积为96平方米?
(3)若住房墙的长度足够长,问鸡舍面积能否达到130平方米?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7a3d679b4dae63575903387a76ce45.png)
(2)在(1)的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
(3)若住房墙的长度足够长,问鸡舍面积能否达到130平方米?
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名校
8 . 如图1是即将建造的“碗形”景观池的模拟图,设计师将它的外轮廓设计成如图2所示的图形.它是由线段
,线段
,曲线
,曲线
围成的封闭图形,且
,
在x轴上,曲线
与曲线
关于y轴对称.已知曲线
是以C为顶点的抛物线的一部分,其函数解析式为:
(p为常数,
),现用三段塑料管
,
,
围成一个一边靠岸的矩形荷花种植区(如图3),E,F分别在曲线
,曲线
上,G,H在x轴上.
时,
①求曲线
的函数解析式.
②当
米时,求三段塑料管的长度之和.
(2)当
与
的差为多少时,三段塑料管总长度最大?请你求出三段塑料管总长度的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decd02bb1fd6ac5a3610a279fe96212b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231f1df5e4970a43bb90033abc11aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e222f73c2dc15fa2cfd692a4293011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87448e09eaa816e50ae92d111d5ded6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5481c3c38cf999b4dacada15ea517b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02474aa890b8bb953ea50e928f318f2.png)
①求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afd4da1d8357df391b946052622f138.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
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9 . 用一段长为
的篱笆围成一个一边靠墙的菜园.
方案一:如图①,围成一个矩形菜园
,其中一边
是墙,其余的三边
,
,
用篱笆,其中
;
是墙,其余用篱笆.
①
的长可以是
;
②
的长有两个不同的值满足该矩形菜园的面积为
;
③矩形菜园
的面积的最大值为
;
④方案二围成扇形菜园的最大面积大于方案一围成矩形菜园的最大面积.
其中,正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4998c150dcde4b3833bfe5f403da63.png)
方案一:如图①,围成一个矩形菜园
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a98c968a7653c11f184a43851941c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e685c2fe2f54fa7947538472cd7caa9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fb5474bdc74da700b463eabd05bd8e.png)
③矩形菜园
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f9ad302532cb3cfcfee6ff60fe490d.png)
④方案二围成扇形菜园的最大面积大于方案一围成矩形菜园的最大面积.
其中,正确结论的个数是( )
A.l | B.2 | C.3 | D.4 |
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10 . 根据以下素材,完成探索任务.
问题提出:根据以下提供的素材,在总费用(新墙的建筑费用与门的价格之和)不高于5900元的情况系,如何设计最大饲养室面积的方案?
素材一:如图是某农场拟建两间矩形饲养室,饲养室的一面靠现有
长的墙,中间用一道墙隔开,计划的建筑材料可建围墙的总长为
,开两个门,且门宽均为
.
素材三:与现有墙平行方向的墙建筑费用为300元/米,与现有墙垂直方向的墙建筑费用为200元/米.
问题解决:
任务1:设
,矩形ABCD的面积为S,求S关于x的函数表达式.
任务2:探究自变量x的取值范围.
任务3:确定设计方案:当
,
时,S的最大值为
.(直接填写结果)
问题提出:根据以下提供的素材,在总费用(新墙的建筑费用与门的价格之和)不高于5900元的情况系,如何设计最大饲养室面积的方案?
素材一:如图是某农场拟建两间矩形饲养室,饲养室的一面靠现有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb1e0bd4fe8afb14b572852121cef83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d690befd9571e1cf9a80388ab2b68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
素材三:与现有墙平行方向的墙建筑费用为300元/米,与现有墙垂直方向的墙建筑费用为200元/米.
问题解决:
任务1:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ac400e3f5ba8b945bbef83db8611b7.png)
任务2:探究自变量x的取值范围.
任务3:确定设计方案:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
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