题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-20155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-67875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-40471.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-23940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-54316.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-69036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-67875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-11073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-15681.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-87612.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-11073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-15681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-58079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-58079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-15681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-90147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-77045.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-19904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-16245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-38198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-19904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-90427.gif)
①证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-19684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-38660.gif)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-19684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-38660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-39287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-74933.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-22365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-64692.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-32855.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-85962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-35421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-85999.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-35421.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-69036.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032143-11073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-99319.gif)
∴抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-15681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-48261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-59856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032147-60143.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032147-81521.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032147-70012.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032147-28019.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032148-21993.gif)
由已知,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032148-83952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032148-72336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032148-81029.gif)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032148-85025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-38660.gif)
①方法二:
由抛物线定义知,∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-78018.gif)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-68642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-43105.gif)
同理FB1为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-68165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-45687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-68165.gif)
又等腰
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-53009.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-45687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-74410.gif)
同理BN
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-74410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-45687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032149-68165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-74410.gif)
②因
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032150-73885.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032151-43437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032151-84095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-38660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032144-38198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-19684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-19684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-38660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032145-22365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032151-12545.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032151-72725.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032152-59029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032152-24910.gif)
假设存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-35421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-85999.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032152-37417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032152-81884.gif)
故存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032152-10873.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032146-85999.gif)
解析
核心考点
试题【已知是实数,是抛物线的焦点,直线.(1)若,且在直线上,求抛物线的方程;(2)当时,设直线与抛物线交于两点,过分别作抛物线的准线的垂线,垂足为,连交轴于点,连结】;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/20191026/20191026032135-57560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032136-63297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032136-81446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032136-12523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032136-80473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032137-18764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032137-80846.png)
A.圆 B.椭圆 C一条直线 D两条平行线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032130-67667.png)
线的标准方程是 ______,其渐近线方程是______________
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032120-80891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032120-40068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032121-10408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032121-63002.gif)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032121-99603.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032121-80199.gif)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032122-18646.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032122-26843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032121-80199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032122-17147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032122-99774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032122-68637.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032123-94540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032123-59940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032110-65449.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032110-69313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-72681.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-35496.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-89748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-84575.gif)
(1)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-94911.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-57037.gif)
(2)任意一条不过原点的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-36485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-57037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032111-99571.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-55461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-65091.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-51055.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-94836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-49319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-69176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-17010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032112-69176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026032103-20528.png)
A.b=![]() | B.b=-![]() | C.b=5 | D.b=![]() ![]() |
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