题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-97738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-54043.png)
(1)求圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-37061.png)
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-41909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-79416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-37061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-51423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-30066.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-71064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-41909.png)
②若点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-52645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-78879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-43764.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-78948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-23388.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-86325.png)
解析
试题分析:(1)由题意:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-97738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-54043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-51671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-79416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012707-54043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-78948.png)
(2)①设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012708-41909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-57240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-93652.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-41005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-74514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-31389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-71064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-21717.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012711-74514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012712-38373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-23388.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012712-84879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012712-47810.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012712-66596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012713-38982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012713-51397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012713-81976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012713-26637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012713-26823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012714-52336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012714-68308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012714-24562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012709-43764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012710-86325.png)
点评:(1)求轨迹方程的一般方法:直接法、定义法、相关点法、参数法、交轨法、向量法等。本题求轨迹方程用到的是定义法。用定义法求轨迹方程的关键是条件的转化——转化成某一已知曲线的定义条件。(2)直线与圆锥曲线联系在一起的综合题在高考中多以高档题、压轴题出现,主要涉及位置关系的判定,弦长问题、最值问题、对称问题、轨迹问题等.突出考查了数形结合、分类讨论、函数与方程、等价转化等数学思想方法.
核心考点
试题【动圆经过定点,且与直线相切。(1)求圆心的轨迹方程;(2)直线过定点与曲线交于、两点:①若,求直线的方程;②若点始终在以为直径的圆内,求的取值范围。】;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/20191026/20191026012703-12529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012703-19712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012703-99371.png)
(理)已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-65921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-82001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-81203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-85464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-56824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-85297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-40475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-24047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-75456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-66237.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012654-85464.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-82446.png)
(3)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-25850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012655-75456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-58651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-60482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012656-91356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012645-28671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012628-69956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012628-75494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012628-50266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012628-45760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012628-12401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-72712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-37498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-45044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-78782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012630-20988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012630-58078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012630-91969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012630-64647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012631-93823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012631-26114.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012631-12542.png)
(2)求证直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-37498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012631-71975.png)
(3)当弦
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012631-30067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012632-79031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012632-61848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012629-37498.png)
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