如图,在平面直角坐标系中有△ABC,过点A作垂线段AD,垂足为D,已知AB=AC=13,BC=10,点C的坐标为(6,0),求A,B两点的坐标.
![](https://img.xkw.com/dksih/QBM/2021/11/30/2862542250549248/2869599195652096/STEM/59678225-32c6-4049-aa26-a33f2ec0e81e.png?resizew=190)
更新时间:2021-12-10 17:17:25
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解答题-作图题
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【推荐1】在平面直角坐标系xOy中,△ABC的三个顶点分别为
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![](https://img.xkw.com/dksih/QBM/2022/5/3/2971512531148800/2972128901496832/STEM/64c2d4d9434240c7ae3821931064df12.png?resizew=179)
(1)在所给的图中,画出这个平面直角坐标系;
(2)点A经过平移后对应点为
,将△ABC作同样的平移得到△DEF,画出平移后的△DEF;
(3)在(2)的条件下,点M在直线CD上,若
,直接写出点M的坐标.点M的坐标为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27149c9ff20937492950f42084caa019.png)
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![](https://img.xkw.com/dksih/QBM/2022/5/3/2971512531148800/2972128901496832/STEM/64c2d4d9434240c7ae3821931064df12.png?resizew=179)
(1)在所给的图中,画出这个平面直角坐标系;
(2)点A经过平移后对应点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e180f0f4c9043d087b96b0949b776064.png)
(3)在(2)的条件下,点M在直线CD上,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec24c36f470d128bc4e79edb679b366.png)
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【推荐2】如图,点
在函数
的图象上,过点M分别作x轴和y轴的平行线交函数
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(1)求反比例函数
、直线
的解析式;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d4c02bfe8a23e5f7e4a85c99572c51.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/26/59534d78-3ab0-4341-88bc-1d29e6516823.png?resizew=156)
(1)求反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5698fdca52f0b841d952897c6621a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d011d6ad89d0b033f96c2efbb314d78.png)
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解答题-证明题
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【推荐1】2022年10月10日是辛亥革命111周年纪念日,龙腾社区开展了系列纪念活动.如图,有一块三角形空地,社区计划将阴影部分布置成展区,陈列有关辛亥革命的历史图片.现测得
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【推荐2】如图,在△ABC中,BA=BC,点BD⊥AC于点D,DE⊥AB于点E
(1)求证:△AED∽△CDB;
(2)如果BC=10,AD=6,求AE的值.
(1)求证:△AED∽△CDB;
(2)如果BC=10,AD=6,求AE的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/12/ac6546f0-ab35-4b8e-b7dc-17462b3699fc.png?resizew=117)
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【推荐1】如图,有一架秋千,当它静止时,踏板离地的垂直高度
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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【推荐2】如图,在
中,
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外一点,连接
,
,且
,
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/19/f3380832-be35-482f-8c3b-f4e60a67c02f.png?resizew=198)
求证:
是直角三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/19/f3380832-be35-482f-8c3b-f4e60a67c02f.png?resizew=198)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
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