题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-25131.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(2)在(1)的条件下,若曲线C与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-28115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-53708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(3)在(1)的条件下,设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-88447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-34410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-49173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-34809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-55341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-46080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-73563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-89921.png)
解析
试题分析:
(1)根据圆的一般式可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-30723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(2)将(1)中圆变形为标准方程,可知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-80686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-85061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(3)假设存在,则有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-81084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-30518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-76599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023833-14847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-30518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023833-41421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-46080.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-25131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023833-41818.png)
所以圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023833-66816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023834-44214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023834-10663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023833-66816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-28115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023834-54327.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-53708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023834-42121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023835-72150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023835-77340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023835-63449.png)
(3)假设存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-55341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-81084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023835-48298.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023835-69534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023836-78581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023832-30518.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023836-75221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023836-87650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023836-32289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-63668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-22060.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-63668.png)
根据根与系数的关系知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-71463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-88477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023837-67401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023838-17543.png)
故存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023829-36922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023830-55341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-89921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023831-80686.png)
核心考点
试题【已知曲线C:(1)当为何值时,曲线C表示圆;(2)在(1)的条件下,若曲线C与直线交于M、N两点,且,求的值.(3)在(1)的条件下,设直线与圆交于,两点,是否】;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/20191023/20191023023822-48252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023822-62745.jpg)
(1)求直线AA1与直线A2B交点M的轨迹方程;
(2)设动圆C2:x2+y2=t22与C0相交于A′,B′,C′,D′四点,其中b<t2<a,t1≠t2.若矩形ABCD与矩形A′B′C′D′的面积相等,证明:t12+t22为定值.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-21475.png)
(1)求椭圆C的方程;
(2)过
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023815-38361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-45686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-91082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-45686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-44992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023816-59237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023809-16639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023809-16466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-53531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-51435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-50812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023810-29837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023803-98337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023023801-95363.png)
A.(2,3) | B.(-2,3) | C.(-2,-3) | D.(2,-3) |
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