题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182740-99721.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-39162.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-15603.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182740-99721.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-88335.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-16496.gif)
(1)求以O为顶点,
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182740-99721.gif)
(2)设Q为抛物线准线上任意一点,过Q作抛物线的两条切线,切点分别为M,N,求证:直线MN过一定点;
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-80337.gif)
(2)见解析
解析
(1)设抛物线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182742-99552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182742-61012.gif)
联立消
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182740-99721.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182742-73473.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182742-96649.gif)
又依题有
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182743-77729.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182743-21663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182741-80337.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182743-68927.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182743-87058.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-71316.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-43999.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-79535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-91482.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-15209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182745-43598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182745-27887.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182744-15209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182745-23063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182745-85788.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182746-56786.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182746-43498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182746-26916.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182746-54550.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182746-82406.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182747-55317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182747-13352.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182747-66098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182747-55317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182747-55039.gif)
核心考点
试题【已知线段AB过轴上一点,斜率为,两端点A,B到轴距离之差为,(1)求以O为顶点,轴为对称轴,且过A,B两点的抛物线方程;(2)设Q为抛物线准线上任意一点,过Q作】;主要考察你对抛物线的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182723-46659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182723-16440.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182724-44921.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182701-66701.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182701-52272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182702-27909.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182702-78608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182702-24785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182702-27909.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182702-93604.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182703-62542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182703-85139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182703-10824.gif)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182703-95981.gif)
(Ⅱ) 记
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182703-95981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-33884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182701-52272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-33884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-40923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-25211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-40923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-25211.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182704-86762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182705-92414.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182705-77642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182705-29907.jpg)
已知抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-49898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-47476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-46400.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-49898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-56200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-46219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-70564.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-46219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-68382.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-49898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182521-58850.gif)
(Ⅰ)证明:抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-49898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182521-58850.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182520-70564.gif)
(Ⅱ)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182521-25696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182521-51421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182521-25696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182515-54236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182515-85240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182515-96312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182515-30829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182515-86453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182516-75167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182516-87528.png)
A.3 | B.4 | C.6 | D.9 |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182456-20889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182456-67810.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182456-62856.gif)
(Ⅰ)求半径
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182456-55160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182457-18384.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025182457-56339.jpg)
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