如图,在平面直角坐标系中,直线
与x轴交于点E,与y轴交于点F,以点
为圆心的
半径为1,直线
上有一点P,过点P作
的两条切线,切点分别为A、B,且
,则点P的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83837cefc88c90a2d7cb8873f642340c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b0da1d3f42b31ecbdf284420b36e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ae3c0fbf7d162b0293a03c29c027fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ae3c0fbf7d162b0293a03c29c027fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
![](https://img.xkw.com/dksih/QBM/2021/9/23/2814291495862272/2814321394286592/STEM/509b6d31-850c-46f7-800d-2897fb8bcc24.png)
2021·江苏苏州·一模 查看更多[3]
江苏省苏州市高新区新区实验2020-2021学年九年级下学期3月数学试卷(已下线)卷1-备战2022年中考数学【名校地市好题必刷】全真模拟卷(江苏苏州专用)·第二辑(已下线)卷2-备战2022年中考数学【名校地市好题必刷】全真模拟卷(江苏南京专用)·第一辑
更新时间:2021-09-25 16:46:46
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【推荐1】如图,在平面直角坐标系中,过
、
的直线
绕点B逆时针旋转
,交x轴于点C,则点C的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8159754fa962579d7dcb79da0ba1908.png)
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【推荐2】定义:对于平面直角坐标系
中的不在同一条直线上的三点P、M、N,若满足点M绕点P逆时针旋转
后恰好与点N重合,则称点N为点M关于点P的“垂等点”,请根据以上定义,完成填空:如图,已知点A的坐标为
,点C是y轴上的动点,点B是点A关于点C的“垂等点”,连接
;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/60a70164-d39b-441c-bcbe-1531cc5b88a1.png?resizew=195)
(1)若点 C坐标为
,则点 B的坐标为 _________ ;
(2)
的最小值是_____________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
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(1)若点 C坐标为
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(2)
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【推荐1】如图,点
位于点
的北偏东
相距
处,点
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的东北方向,则点
到点
的距离为 ______
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【推荐2】如图,在矩形
中,边
的长为
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,
分别在
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上,连接
,
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是菱形,且
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名校
【推荐1】在平面直角坐标系
中,二次函数
的图象上两点A,
的横坐标分别为
,2.若
为直角三角形,则
的值为______ .
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【推荐2】如图,抛物线
交x轴于点A、B,交y轴于点
,其中点B坐标为
,同时抛物线还经过点
.
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(1)抛物线的解析式为_____________ ;
(2)设抛物线的对称轴与抛物线交于点E,与x轴交于点H,连接
,将抛物线向下平移n
个单位,当
平分
时,则n的值为_____________ .
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(1)抛物线的解析式为
(2)设抛物线的对称轴与抛物线交于点E,与x轴交于点H,连接
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【推荐1】《数书九章》中的“遥度圆城”问题如下:在一座圆形城堡中,有正东、正南、正西和正北四个门,出南门A向东走一段路程到达点B后(
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相切圆形城堡于点D.若
,
,已知
经过圆形城堡的圆心O,则圆形城堡的直径为_______
.
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【推荐2】如图,
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的内切圆,D,E,F是切点.若
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__________ .
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