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抛物线

> 已知过抛物线y 2=2px（p＞0）的焦点，斜率为 2 2 的直线交抛物线于A（x 1，y 1）和B（x 2，y 2）（x 1＜x 2）两点，且|AB|=9，（1）求该抛物线的方程；（2）O为坐标原点，C为抛物线上一点，若 OC = OA +λ OB ，求λ的值．

问题：

发布时间：2024-09-08

已知过抛物线y ²=2px（p＞0）的焦点，斜率为 2

2

的直线交抛物线于A（x ₁，y ₁）和B（x ₂，y ₂）（x ₁＜x ₂）两点，且|AB|=9，
（1）求该抛物线的方程；
（2）O为坐标原点，C为抛物线上一点，若

OC

=

OA

+λ

OB

，求λ的值．

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已知过抛物线y 2=2px（p＞0）的焦点，斜率为 2 2 的直线交抛物线于A（x 1，y 1）和B（x 2，y 2）（x 1＜x 2）两点，且|AB|=9， （1）求该抛物线的方程； （2）O为坐标原点，C为抛物线上一点，若 OC = OA +λ OB ，求λ的值．

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