题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-83997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-21740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-95164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-19522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-57619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-64774.png)
(Ⅰ)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231237-38776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231237-84995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231237-36901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231237-58653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-25183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-68584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-87915.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-47725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-48885.png)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-88396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-33916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-68584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-79366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-83622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-97127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-89663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-70125.png)
从而证得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-43377.png)
解析
试题分析:(Ⅰ)设曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-95164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-91377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-95164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-19522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-57619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-64774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-47725.png)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-88396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-92848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-68584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-79366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-83622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-97127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-89663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-36147.png)
从而证得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-43377.png)
试题解析:(Ⅰ)设曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231236-95164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-91377.png)
依题意
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-58594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-48885.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-47725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231235-74386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231238-47725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-48885.png)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231239-88396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-80534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-30540.png)
由已知条件可知
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-97127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231240-89663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-36147.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231242-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231241-43377.png)
核心考点
试题【已知,曲线上任意一点分别与点、连线的斜率的乘积为.(Ⅰ)求曲线的方程;(Ⅱ)设直线与轴、轴分别交于、两点,若曲线与直线没有公共点,求证:.】;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/20191025/20191025231219-17729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231219-49540.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231219-78530.png)
径的圆相切.
(Ⅰ)求椭圆C的方程;
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231220-30278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231220-94085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231220-95449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231220-63182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231221-59683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231220-94085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231221-35873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231221-10739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231221-82707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231222-18681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231222-31968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231222-25269.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231213-78238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231213-44171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231213-24927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231213-24425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231214-23350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231213-24927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231214-47273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231214-27639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231214-80692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231215-16420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231215-46201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231147-59335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231147-95854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231147-16177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231148-47663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231148-45547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231148-22316.png)
⑴ 求
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231148-78492.png)
⑵ 求四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231149-92541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231149-62540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231149-70897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231150-32495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231141-72476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231141-80713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231141-13925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231142-65486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231142-24652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231141-13925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231142-49526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231142-22172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231142-11824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231143-27457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231143-74611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231131-81015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231131-52605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231131-71003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025231131-66396.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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