题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-19120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
(1)求P点的轨迹方程;
(2)对于x轴上的点M,若满足|
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49937.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-38408.png)
解析
试题分析:(1)利用等差中项的定义可得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-19175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-86011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-31449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-40385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230021-23087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-58380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230019-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230021-53763.png)
试题解析:(1)由已知得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-19175.png)
∴P点的轨迹是以A,B为焦点的双曲线的右支,且
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230021-93182.png)
∴P点的轨迹方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230020-38408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230021-43489.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230022-96153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230022-17287.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230022-49281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230022-73533.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230023-23690.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230023-46873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230023-17695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230023-85194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230024-69325.png)
∴对任意一个确定的点P,它总能对应2个“比例点” 12分
核心考点
试题【已知A(-5,0),B(5,0),动点P满足||,||,8成等差数列.(1)求P点的轨迹方程;(2)对于x轴上的点M,若满足||·||=,则称点M为点P对应的“】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025230012-77402.png)
A.(-![]() ![]() | B.(![]() ![]() | C.(-![]() ![]() | D.(![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-49674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-58473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-57942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-25771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-89496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-41796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-31112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-70049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-93397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-41796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-58473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-57942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-31983.jpg)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-36366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-79907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-79907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225957-13915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225956-80735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-47515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-37854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225958-18994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-63330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-53579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-62329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225943-75661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225944-30546.png)
![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225946-46747.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225946-46747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225937-70906.png)
(1)求曲线C的方程.
(2)若以M(2,3)为圆心的圆与抛物线交于A、B不同两点,且线段AB是此圆的直径时,求直线AB的方程
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225928-47305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225928-16208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225928-88343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225928-47677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-53366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-12073.png)
(Ⅰ)求线段
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-53366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-71455.png)
(Ⅱ)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-14793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225929-46124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225930-14688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225930-11526.png)
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