题目
题型:不详难度:来源:
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-12724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-48780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-69675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-66856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-89396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-52419.gif)
且满足
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-88858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-55384.gif)
(I)求AC边所在直线的方程;
(II)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-12724.gif)
(III)若动圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-95831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-12724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
f(k)+f(k+1)+f(k+2)+
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003931-95200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003931-50911.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003931-72138.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003931-95470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-88858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003932-65418.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-48780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-69675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003932-81742.gif)
又因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003929-52419.gif)
所以AC边所在直线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003932-46589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003932-38934.gif)
(II)AC与AB的交点为A,所以由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003932-19226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003933-21713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003933-83862.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003933-27472.gif)
又r=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003933-13921.gif)
从
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003928-12724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003934-70182.gif)
(III)因为动圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003934-14233.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003934-67771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003935-89843.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003935-95265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003935-92898.gif)
故点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003935-57286.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003936-35251.gif)
因为实半轴长
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003936-95623.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003936-96067.gif)
所以虚半轴长
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003936-94926.gif)
从而动圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003930-52842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003936-62480.gif)
解析
核心考点
试题【(本小题共14分)已知的边边所在直线的方程为满足, 点在AC边所在直线上且满足.(I)求AC边所在直线的方程;(II)求外接圆的方程;(III)若动圆过点,且与】;主要考察你对点到直线的距离等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003925-26199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003925-52375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003925-60219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003925-22984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003926-63905.gif)
距离为 ( )
A.5 | B.![]() | C.10 | D.15 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003921-70128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003921-55472.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003921-22476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003921-86626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003922-86746.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003922-23058.gif)
A.![]() | B.![]() | C.2 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003916-55994.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003917-79735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003917-31375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003908-20882.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003909-35336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003909-63708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003909-14533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003904-63850.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023003905-29661.gif)
A.![]() | B.![]() | C.5 | D.6 |
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