已知某开发区有一块四边形空地ABCD,如图所示,现计划在空地上种植草皮,经测量∠A=90°,AB=3m,BC=12m,CD=13m,DA=4m,若每平方米草皮需要300元,求一共需要投入多少元.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/8897bf5f-6037-4c1b-980e-815266ff23cf.png?resizew=215)
更新时间:2022-08-10 19:08:38
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解答题-作图题
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【推荐1】如图,在平面直角坐标系中,△ABC的三个顶点坐标分别为A(3,2)、B(3,5)、C(1,2).
![](https://img.xkw.com/dksih/QBM/2020/6/12/2483212274491392/2485386832257024/STEM/fc3ef38f-4370-407d-a499-08d5ccfb6a6e.png)
⑴在平面直角坐标系中画出△ABC关于原点对称的△A1B1C1;
⑵把△ABC绕点A顺时针旋转一定的角度,得图中的△AB2C2,点C2在AB上.请写出:
①旋转角为 度;
②点B2的坐标为 .
![](https://img.xkw.com/dksih/QBM/2020/6/12/2483212274491392/2485386832257024/STEM/fc3ef38f-4370-407d-a499-08d5ccfb6a6e.png)
⑴在平面直角坐标系中画出△ABC关于原点对称的△A1B1C1;
⑵把△ABC绕点A顺时针旋转一定的角度,得图中的△AB2C2,点C2在AB上.请写出:
①旋转角为 度;
②点B2的坐标为 .
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解答题-问答题
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适中
(0.65)
【推荐2】如图,
中,
,以
为直径作
,点D为
上一点,且
,连接
并延长交
的延长线于点E.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/5d5c0567-844f-4a07-b3a8-8d39c6c59c13.png?resizew=156)
(1)判断直线
与
的位置关系,并说明理由;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
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(1)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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(2)若
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解答题-问答题
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适中
(0.65)
【推荐1】如图,一根
的电线杆
用铁丝
,
固定,现已知用去的铁丝
,
,又测得地面上
,
两点之间的距离是
,
,
两点之间的距离是
,则电线杆和地面是否垂直,为什么?(提示:要判定电线杆和地面垂直,只需说明
且
即可)
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解答题-问答题
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适中
(0.65)
【推荐2】如图所示,已知抛物线在坐标系中的顶点为
,且与坐标轴交点为
点.(相关数据见图中标示)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/26/e3aa6f6b-1a50-41c8-b00d-7cd91f28765a.png?resizew=161)
(1)求该抛物线的解析式;
(2)求△
的面积;
(3)在
轴上求作一点
使△
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的坐标.
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