题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-28348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-96015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-22204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-91226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010346-53368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010346-66554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-96015.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010346-41917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010346-88083.png)
求证:
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-36032.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-90761.png)
答案
解析
(1)利用切割线定理得到比例关系得到结论。
(2)根据由(1)有
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-73456.png)
(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010345-28348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-91577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010348-33088.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010348-76869.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010348-13477.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-36032.png)
(2)由(1)有
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010347-73456.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010349-11040.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010349-21849.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010349-95584.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010349-70882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010350-87893.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010350-18182.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-42804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-16987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-38275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-21771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-16987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010338-26766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010338-54694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010338-22222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010338-70427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010339-65227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010337-16987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010339-78539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010339-63143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010339-42808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010340-87489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010340-47550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010331-79496.jpg)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010331-57835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010331-75775.png)
如图,在Rt△ABC中,
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010325-88969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010325-80657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010326-37128.png)
(Ⅰ)求证:AC是△BDE的外接圆的切线;
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010326-11626.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010317-52736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010317-40076.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010317-66903.png)
(2)若AC=3,求
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010317-70021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-47171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-32228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-51014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-58376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-65407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-51014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-65407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-47171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010305-47157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-47380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-80634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-39865.jpg)
⑴求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-64915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-35368.png)
⑵求
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010306-20954.png)
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