题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020429-26538.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020429-78713.png)
(Ⅰ)建立适当的坐标系求出P的坐标;
(Ⅱ)求证:│PA│2+│PB│2=5│PC│2
(Ⅲ)若a+2b=2,求以PA,PB,PC分别为直径的三个圆的面积之和的最小值,并求出此时的b值.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020429-21484.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-85756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020429-78713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-19078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-28194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
当b=0.8时,s最小.
解析
根据已知条件先以边CA、CB所在直线分别为x轴、y轴建立直角坐标系,,设A(
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-85756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020429-78713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-19078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-28194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026020430-95384.png)
核心考点
试题【如图,在ABC中,C=90°,AC="b," BC="a," P为三角形内的一点,且,(Ⅰ)建立适当的坐标系求出P的坐标; (Ⅱ)求证:│PA│2+│PB│2=】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
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A.1 | B.2 | C.3 | D.0 |
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A.![]() | B.![]() | C.![]() | D.![]() |
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A.![]() | B.![]() | C.![]() | D.![]() |
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A.6 | B.![]() | C.![]() | D.![]() |
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