题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181618-60380.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181618-69415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181618-81246.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-84128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-44785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-74298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-39582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-39582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-89063.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-61288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-71928.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-62472.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-65354.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-84128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-38793.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-54726.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-17629.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-84128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-61288.gif)
(Ⅱ)由题意可设直线AB的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-15046.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-83694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-16114.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-88533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181620-15046.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-74209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-85517.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-94718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-20026.gif)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-44785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-21844.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-74298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-65720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-82716.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-95877.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-89946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-74298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-71928.gif)
(Ⅲ)设存在点N
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-45402.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-56313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-83709.gif)
令D(
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-95782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-25728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181622-56313.gif)
代入抛物线方程
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-74209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-64955.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-79911.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-89063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-60514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-39253.gif)
3
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181623-19493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181621-94718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181624-49577.gif)
即在
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-39582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-62472.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181619-89063.gif)
核心考点
试题【(本题满分13分)已知抛物线C的方程为,A,B是抛物线C上的两点,直线AB过点M。(Ⅰ)设是抛物线上任意一点,求的最小值; (Ⅱ)求向量与向量的夹角(O是坐标原】;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/20191025/20191025181600-11730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-55672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-29771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-91837.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-11730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-12118.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-39575.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181600-12118.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-39575.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-80693.gif)
(1)求抛物线的标准方程;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-43024.gif)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-79005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-17476.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181601-84780.gif)
如图,已知抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-22527.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-33568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-82094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-33568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-82094.gif)
线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-25251.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-32438.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-49865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-32438.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-49865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-33568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-45033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-53550.gif)
(1)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-97391.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-93925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-40944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-40944.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-72724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-24845.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181541-16671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181540-82094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181542-50806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181534-90515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-79403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-16185.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-45817.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-36326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-71001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181535-72689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181536-84033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181536-34226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181528-32466.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181528-70420.gif)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181528-46524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181528-74496.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181529-65950.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181529-73088.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025181513-35977.gif)
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