题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004025-64286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-67125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-21202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-28038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-27525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-17319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-44284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-44284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-27525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-97231.png)
(Ⅰ)求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-27525.png)
(Ⅱ)是否存在点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-28038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-58149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-27525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-28038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004026-28038.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-17059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-60543.png)
解析
试题分析:(Ⅰ)F抛物线C:x2=2py(p>0)的焦点F
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-36186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-16389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-10827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-11792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004029-80565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004027-97231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004029-96693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-17059.png)
(Ⅱ)假设存在点M,使得直线MQ与抛物线C相切于点M,
而
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004029-99148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004029-96710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004030-98155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004030-55935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004030-32257.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-17059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004030-45067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004031-12747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004031-19483.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004031-80756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004032-40118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004032-34704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004028-60543.png)
点评:第二问属于探索性题目,此类题目的求解思路是假设满足条件的点存在,然后按已知条件去求解计算该点,若能算出则点存在,否则点不存在,另曲线在某一点处的切线斜率转化为该点处导数。此题有一定的综合性
核心考点
试题【(本小题13分)在平面直角坐标系中,是抛物线的焦点,是抛物线上位于第一象限内的任意一点,过三点的圆的圆心为,点到抛物线的准线的距离为.(Ⅰ)求抛物线的方程;(Ⅱ】;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
则|PA|+|PF|的最小值是 ,取最小值时P点的坐标 .
(1)某三棱锥的侧视图和俯视图如图所示,求三棱锥的体积.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004009-29699.png)
(2)过直角坐标平面
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004009-26747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004010-43821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004010-56401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004010-34677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004010-84359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004011-47553.jpg)
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003959-63751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003959-60399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003959-96117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004000-26246.png)
(Ⅰ)求椭圆的方程;
(Ⅱ)设过定点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004000-79705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004000-50830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004000-72774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004001-63312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004001-78037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026004000-50830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-12429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-83888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-86855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-65381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-12429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003955-86855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003956-66590.png)
如图,设点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003942-45350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003942-26771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003942-98123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-56344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-60204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-81099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-11753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-15677.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-60204.png)
(2)若动直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-97278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003943-60204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-50893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-43309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-67063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-67063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-97278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026003944-67063.png)
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