...直径的圆恒过坐标原点O. (1)求抛物线的标准方程;(

发布网友 发布时间：2024-10-03 14:04

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热心网友 时间：2024-10-19 13:26

(1) (2)详见解析.

试题分析：(1)设直线 方程为 ，代入 得
设  ， ，则有 ,而  ,
故
即 ，得 ，所以抛物线方程为 ;
(2)由 是直线 上任意一点，可设  由(1)知  ，  ，
∴ =  , ∵ = = ，
= = ，  
+ = + =  
=  =  = =  = ，有等差中项的性质可知直线QA、QP、QB的斜率依次成等差数列.
试题解析：(1)设直线 方程为 ，代入 得
设  ， ，则有        2分  
而  ,
故
即 ，得 ，所以抛物线方程为 &nbs已赞过已踩过你对这个回答的评价是？评论收起 // 高质or满意or特型or推荐答案打点时间 window.iPerformance && window.iPerformance.mark('c_best', +new Date); 推荐律师服务：若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询 ._1uevpeq{zoom:1;background-color:#fff;border:0;margin-bottom:10px;padding:30px 0 20px 42px;position:relative}._1uevpeq.ec-1841{padding:20px 0}._1uevpeq.ec-2246{padding:20px 0 10px}.ec-1841 .y7we4hu{font-size:16px;margin-bottom:-5px}.y7we4hu{color:#7a8f9a;height:25px;line-height:25px;overflow:hidden;position:relative}.y7we4hu h2{margin:0;padding:0}.y7we4hu:after{clear:both;content:" ";display:block;height:0;visibility:hidden}a.tycfu7u{color:#666;float:right;font-size:12px;margin-left:8px;text-decoration:none}.hhhv6ex{color:#666;font-size:13px;line-height:normal;line-height:20px;margin-top:10px}.vnsdjzp{margin-top:15px;position:relative}.vnsdjzp h3{font-weight:400;padding:0}.vnsdjzp a{text-decoration:none}.vnsdjzp em{color:#d81419;font-style:normal}.ec-2246 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(1) (2)详见解析.

试题分析：(1)设直线 方程为 ，代入 得
设  ， ，则有 ,而  ,
故
即 ，得 ，所以抛物线方程为 ;
(2)由 是直线 上任意一点，可设  由(1)知  ，  ，
∴ =  , ∵ = = ，
= = ，  
+ = + =  
=  =  = =  = ，有等差中项的性质可知直线QA、QP、QB的斜率依次成等差数列.
试题解析：(1)设直线 方程为 ，代入 得
设  ， ，则有        2分  
而  ,
故
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