题目
题型:不详难度:来源:
⑴判断BE是否平分∠ABC,并说明理由;
⑵若AE=6,BE=8,求EF的长.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045933-20021.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045934-43169.gif)
解析
∵CD=AC,∴∠D="∠CAD."
∵AB=AC,∴∠ABC=∠ACB
∵∠EBC=∠CAD,∴∠EBC="∠D=∠CAD. "
∵∠ABC=∠ABE+∠EBC,∠ACB=∠D+∠CAD,
∴∠ABE=∠EBC,即BE平分∠ABC.
⑵由⑴知∠CAD="∠EBC" =∠ABE.
∵∠AEF=∠AEB,∴△AEF∽△BEA.
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045934-59187.gif)
∴EF=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045934-43169.gif)
核心考点
试题【如图,⊙O是等腰三角形ABC的外接圆,AB=AC,延长BC到点D,使CD=AC,连接AD交⊙O于点E,连接BE与AC交于点F.⑴判断BE是否平分∠ABC,并说明】;主要考察你对圆的方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045922-38501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-18208.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-16199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-86612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-12637.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045922-38501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-30447.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-18208.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-78728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045923-21018.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045924-91350.gif)
(2)若圆F且与圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045922-38501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045924-80685.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045915-29447.gif)
(1)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045915-12036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045916-49097.gif)
(2)以线段
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045916-53806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045906-30141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045906-72433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045906-38150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-42525.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-49020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045906-38150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-48158.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-16145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-83633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-49020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045908-72440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045908-14941.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045907-16145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045908-30916.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045900-74959.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045849-38055.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023045850-21649.gif)
(1)指出圆C的圆心和半径;(2)求出圆心C的轨迹方程.
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