题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-32145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-69463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-70750.png)
(1)若以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-51911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-75711.png)
(2)是否存在这样的实数
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-75711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145937-70750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59832.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-97153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-27244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59832.png)
解析
试题分析:(1)联立方程
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-10736.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-78402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-42672.png)
由于以AB线段为直径的圆经过原点,那么:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-15480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-25403.png)
所以:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145940-57441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145940-93703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59398.png)
(2)假定存在这样的a,使A(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-97153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-27244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59832.png)
那么:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145940-22466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145940-89711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145940-76978.png)
因为A(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-97153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-27244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145941-70400.png)
代入(*)式得到:-2=6,矛盾。
也就是说:不存在这样的a,使A(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-97153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-27244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145938-59832.png)
点评:第一问中首先将以AB为直径的圆经过原点转化为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145939-15480.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145933-12401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145933-91707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145933-71575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145933-12401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-35381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-55394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-21055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-34920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-55394.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-55394.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-12657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145912-42617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145911-55394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145912-42617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-12442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-94973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-76336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-75960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-14463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-76336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022145903-79299.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() ![]() |
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