如图,在平面直角坐标系中,0为坐标原点,点A的坐标为(-4,0),直线BC经过点B(-4,3),C(0,3),将四边形OABC绕点O按顺时针方向旋转α度(0<α≤l80°)得到四边形OA′B′C′,此时直线OA′、直线B′C′,分别与直线BC相交于P,Q.在四边形OABC旋转过程中,若BP=
BQ 则点P的坐标为__________ .
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更新时间:2018-04-01 21:39:29
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【知识点】 旋转综合题(几何变换)
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【推荐1】如图所示,边长为6的等边三角形ABC中,E是对称轴AD上的一个动点,连接EC,将线段EC绕点C逆时针旋转60°得到FC,连接DF.则在点E运动过程中,DF的最小值是_________ .
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【推荐2】在锐角
中,
,
,
,将
绕点
按逆时针方向旋转,得到
.(1)如图1,当点
在线段
的延长线上时,则
的度数为______________ 度;(2)如图2,点
为线段
中点,点
是线段
上的动点,在
绕点
按逆时针方向旋转过程中,点
的对应点是点
,则线段
长度最小值是_____________ .
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