试题与答案

设A (x1 ,y1 ),B (x2 ,y2)为抛物线y2=2px(p>0)上位

题型:解答题

题目:

设A (x1 ,y1 ),B (x2 ,y2)为抛物线y2=2px(p>0)上位于x 轴两侧的两点.  

(1)若y1y2=-2p ,证明直线AB 恒过一个定点; 

(2)若p=2 ,∠AOB(O为坐标原点)为钝角,求直线AB 在x轴上截距的取值范围.

答案:

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