如图,在△ABC中,AB=AC,BD⊥AC于D,BE平分∠ABD交AC于E,过点E作EH⊥BC于H交BD于点P,若EH=4CH,S△EBC=40,则线段PE长为( )
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864621494829056/2865336454242304/STEM/7a9b7eb5-f9d7-4aa8-921c-b8a0c001c9a6.png?resizew=186)
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864621494829056/2865336454242304/STEM/7a9b7eb5-f9d7-4aa8-921c-b8a0c001c9a6.png?resizew=186)
A.4 | B.2![]() | C.6 | D.8 |
更新时间:2021-12-04 16:44:51
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【推荐1】如图,在矩形ABCD中,AB=8cm,AD=10cm,点E,F分别是边AB,BC上的动点,点E不与A,B重合,且EF=AB,G是五边形AEFCD内一点,GE=GF且∠EGF=90°.①点E为AB中点时,∠AEG=75°;②点G到AB,BC的距离一定相等;③点G到AB边的距离最大为
;④点G到AB边的距离可能为3.则以上说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/4/2/2949498518298624/2953038060658688/STEM/0d3b0be7da3a452484071f7192f4fbfd.png?resizew=165)
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A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,在
中,
,以该三角形的三条边为边向外作正方形
,正方形
和正方形
,给出下列结论:①
;②
;③ 过点B作
于点I,延长B交
于点J,则
.④ 若
,则
.其中正确的结论个数是( )
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【推荐1】如图,四边形ABCD是正方形,点E是边BC的中点,∠AEF=90°,且EF交正方形外角的平分线CF于点F.连接DE,DF,若
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【推荐2】如图,在
中,
,
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于
,
平分
,分别交
、
于
、
,
为
的中点,连接
,则
的值是( )
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【推荐1】如图,点
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对角线
上一点,过点
作
交
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【推荐2】如图1,在四边形
中,
,
,
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的方向以1个单位长度/秒的速度运动,在整个运动过程中,
的面积S(平方单位)与运动时间
(秒)的关系如图2所示(大致图像),则线段AD的长为( )
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【推荐1】如图,在矩形
中,
,对角线
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解题方法
【推荐2】如图,在矩形
中,
,
,
、
、
、
分别为矩形边上的点,
过矩形的中心
,且
.
为
的中点,
为
的中点,则四边形
的周长为( )
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