题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232042-61601.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-95940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-64209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-28012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-49633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-28012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232043-77925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-46193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-29122.gif)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-62290.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-26181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-86218.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-86218.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-64112.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-64112.gif)
(2)如果以线段
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-60327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-29122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-54090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-28485.gif)
(3)连结
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-44810.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-55688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-62570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-41325.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-98029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-28485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-39626.jpg)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-60327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232048-65903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232048-13833.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232048-26085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-29122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232048-28878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232049-85774.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232049-65069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232049-64962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232049-52261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-78864.gif)
(2)过D作DP
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-77977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-13863.gif)
∴四边形ABPD是矩形.
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-13863.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232045-60327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232044-29122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-74804.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232049-85774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-13863.gif)
∴(x+2)2=22+(x-4)2,解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232050-42187.gif)
∴线段
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-28485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232051-31875.gif)
(3)由已知,以
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-41325.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232047-98029.gif)
又易证得
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232051-24437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232051-20112.gif)
由此可知,另一对对应角相等有两种情况:①
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232051-68068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-43559.gif)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232051-68068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-72403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-84249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-29777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232053-36516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232053-44577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232053-73868.gif)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-43559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232052-72403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232053-55001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232054-79388.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232054-29557.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232054-17572.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232054-20713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232055-27586.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232055-47199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232055-76617.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232056-31420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232056-63285.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-28485.gif)
综上所述,所求线段
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232046-28485.gif)
解析
核心考点
试题【(9分)已知,,(如图).是射线上的动点(点与点不重合),是线段的中点.(1)设,的面积为,求关于的函数关系式,并写出自变量的取值范围;(2)如果以线段为直径的】;主要考察你对平行四边形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232035-78207.png)
A.(2 a+3)cm | B.(2 a+6)cm |
C.(2a+3)cm | D.(a+6)cm |
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232029-32946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232029-88832.png)
A.1 | B.2 | C.3 | D.4 |
ABCD的周长为10,则△CDE的周长为 .
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232026-60540.png)
的纵坐标是1,则点B的坐标是
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232022-38009.png)
A.(3,1) | B.![]() |
C.![]() | D.(1,3) |
的平分线于点D,过点B作BE⊥BD,交直线OD于点E。
(1)求证:OE=OD ;
(2)当点O在什么位置时,四边形BDAE是矩形
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232004-58462.gif)
(3)在满足(2)的条件下,还需△ABC满足什么条件时,四边形BDAE是正方形?写出你确定的条件,并画出图形,不必证明。
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029232004-73654.gif)
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