题目
题型:不详难度:来源:
为半圆上不同的两点,BC交AD于D,BE交AD于F。
(I) 求证:BE·BF=BC·BD。
(II) 若⊙O的半径
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043902-39826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043902-85834.gif)
答案
(II)
解析
∠ABE=∠ABF
∴△ABE∽△ABF
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043903-31412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043903-85449.gif)
又连结AC在△ABC和△ABD中
同理可证△ABC∽△ABD
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043903-55769.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043903-16752.gif)
由①②可知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043903-45239.gif)
核心考点
试题【如图,BA是⊙O的直径,AD是⊙O切线,C、E分别为半圆上不同的两点,BC交AD于D,BE交AD于F。(I) 求证:BE·BF=BC·BD。 (II) 若⊙O的】;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/20191023/20191023043855-97804.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043855-31450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-48117.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-17214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-87326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-26269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-19448.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-21676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-57962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-17214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043856-27290.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-72390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-33562.gif)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-57920.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-29010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-59504.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-91254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043857-79267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043849-71610.gif)
CE=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043849-42715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043849-21843.jpg)
如图, ⊙O和⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043841-39777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043841-39777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043841-39777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043842-69313.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043830-84608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043830-96520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-56744.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-45781.gif)
(Ⅰ)求圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-48669.gif)
(Ⅱ)设圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-48669.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-16039.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-48669.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043832-80987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043832-12697.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043832-71325.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043832-40713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043833-43105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043831-48669.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023043820-17718.gif)
A.圆心为![]() ![]() | B.圆心为![]() ![]() |
C.圆心为![]() ![]() | D.圆心为![]() ![]() |
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