如图,分别以线段AB的两个端点为圆心,以大于
AB长为半径作弧,两弧交于点M和点N,在直线MN上取一点C,连接CA,CB,点D是线段AC的延长线上一点,且CD=
AC,点P是直线MN上一动点,连接PD,PB,若BC=4,则PD+PB的最小值为 ___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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20-21七年级下·四川成都·期末 查看更多[2]
四川省成都市锦江区2020-2021学年七年级下学期期末数学试题(已下线)专题2.2 最值模型之将军饮马 专项讲练-2022-2023学年八年级数学上册重难题型全归纳及技巧提升专项精练(浙教版)
更新时间:2021-08-15 23:53:32
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【推荐1】如图,△ABC中,∠BAC=60°,∠BAC的平分线AD与边BC的垂直平分线MD相交于D,DE⊥AB交AB的延长线于E,DF⊥AC于F,现有下列结论:①DE=DF;②DE+DF=AD;③DM平分∠EDF;④AB+AC=2AE;其中正确的有________ .(填写序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/12ae7ec7-c5f8-47b7-bd93-3877c4d74fc3.png?resizew=187)
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【推荐2】如图,矩形ABCD中,AB=6,BC=8,点E是CB上的一个动点,把△DCE沿DE折叠,若点C的对应点C′刚好落在线段AB的垂直平分线上,则CE的长度为_____ .
![](https://img.xkw.com/dksih/QBM/2022/4/23/2964596609622016/2967363578822656/STEM/f928e845d12f4701b66f356179fc8f52.png?resizew=178)
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【推荐1】如图,等边三角形
的边长为2.
(1)
的面积是_____ .
(2)分别以点A,C为圆心,m为半径作弧,两弧交于点D,连接
.若
的长为
,则m的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)分别以点A,C为圆心,m为半径作弧,两弧交于点D,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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【推荐2】如图,已知
,以点
为圆心,以适当长为半径作弧,分别与
、
相交于点
,
;分别以
,
为圆心,以大于
的长为半径作弧,两弧在
内部相交于点
,作射线
.分别以
,
为圆心,以大于
的长为半径作弧,两弧相交于点
,
,作直线
分别与
,
相交于点
,
.若
,
,则
到
的距离为________ .
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【推荐1】如图,四边形OABC为正方形,边长为10,点A,C分别在x轴、y轴的正半轴上,点D在OA上,且D点的坐标为(4,0),P是OB上的一个动点,则PD+PA的最小值是_____ .
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【推荐2】如图,正方形
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