题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213320-17687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-58094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-78707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-58094.png)
(1)求抛物线的方程;
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-18818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-26960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213322-19035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
(3)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213322-22161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213322-86294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-64682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-59620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-12349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-64682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-86458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-72378.png)
解析
试题分析:(1)求出点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-43461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-78707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-37544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-37533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-56131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213322-19035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-84012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-83324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-76789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-65065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-62208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-62953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213327-52444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-62953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213327-52444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
(1)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-46704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-58094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213327-67692.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213327-76748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213327-44982.png)
把点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213328-44869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213320-17687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213328-84436.png)
所以抛物线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-86458.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213328-93076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213329-23577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213329-31140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213329-11895.png)
过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-43461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213329-40537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213330-91977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-37533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-43461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213330-20931.png)
即当点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-56131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213322-19035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213330-52699.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213330-78272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213321-70837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213331-75613.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-72378.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213331-12320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-64682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213331-75613.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213325-83324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213326-76789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213331-80621.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213332-65550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213332-88778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213332-53000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213332-99011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213332-26323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213333-80534.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213333-55142.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213333-10335.png)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213323-89936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213324-72378.png)
核心考点
试题【已知抛物线的方程为,直线的方程为,点关于直线的对称点在抛物线上.(1)求抛物线的方程;(2)已知,点是抛物线的焦点,是抛物线上的动点,求的最小值及此时点的坐标;】;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/20191025/20191025213305-73184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213305-52177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213306-62984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213306-49719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213306-20206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213306-98155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213307-67047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213306-98155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213307-76950.png)
(1)求曲线C的方程,
(2)直线l与直线l,垂直且与曲线C交于B、D两点,求△OBD面积的最大值.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213245-61353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213246-97357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213246-48963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213246-70669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213246-64924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213247-16872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213247-48948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213247-64755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213248-95225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213248-65764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213248-16168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213248-58557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213249-12733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213249-42334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213249-84420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213249-13184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213250-31729.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213250-58783.png)
(2)是否存在定点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213250-48851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213251-14396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213251-58170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213251-82516.png)
(Ⅰ)求曲线C的方程,并讨论C的形状与m值的关系;
(Ⅱ)当m=﹣1时,对应的曲线为C1;对给定的m∈(﹣1,0)∪(0,+∞),对应的曲线为C2,设F1、F2是C2的两个焦点.试问:在C1上,是否存在点N,使得△F1NF2的面积S=|m|a2.若存在,求tanF1NF2的值;若不存在,请说明理由.
A.圆 | B.椭圆 | C.双曲线的一支 | D.抛物线 |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213222-11502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213222-67546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213222-42202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213223-43170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213223-54578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213223-77871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213223-45904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213224-14029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213224-30443.png)
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