题目
题型:不详难度:来源:
(1)求证:OA⊥OB;
(2)当DAOB的面积等于
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-42906.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-94274.png)
解析
试题分析:(1)要证明
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-74731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-47201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-32679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-74731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-35623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-27476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-87603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-51240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-47201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-68009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-51240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-47681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-26741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-79180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-51240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-93733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-62769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-97202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-99760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-47681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-18322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-94301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-65496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-24991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-26142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-82175.png)
试题解析:(1)由方程组
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-85249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-38822.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-93415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225106-14110.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225106-54437.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225106-17361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225102-74731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225106-95204.png)
(2)设直线与
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225103-47681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225106-24077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225104-18322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225105-24991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225107-50267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225107-89478.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225107-88809.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225107-87469.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225051-73552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225051-80403.png)
(Ⅰ)求C的方程;(Ⅱ)求过点(3,0)且斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225051-68359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225035-46188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225036-56040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225036-90543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225036-79414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225036-98767.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-48663.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-63545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-77660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-69737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-37810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-69737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225038-38953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225038-72020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225038-39225.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225037-69737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225038-28027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225024-81095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225024-72940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225024-81095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225024-82060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225024-96602.png)
(Ⅰ)求椭圆方程;
(Ⅱ)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225025-35988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225025-78008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225025-93834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225025-47385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225026-63702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225026-72723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225018-40530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225018-98991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225018-40530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-51416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-95988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-11974.png)
⑴求椭圆E的方程;
⑵设P是椭圆E上一点,过P作两条斜率之积为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-95988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-65196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-65196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025225005-75361.png)
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