2019年广东省湛江市中考数学试题(含答案) 下载本文

2点Pxp,yp在抛物线y??x?6x?5上,?yp??xp?6xp?5,

??2?xp???xp2?6xp?5??5?0,解得xp?7或xp?0,?yp??12或yp??5

?点P为?7,?12?或?0,?5?(舍去)

② 当?C?900时,在Rt?ACP中,由勾股定理,得 AC2?CP2?AP2

?50?xp2?yp2?10xp?25?xp2?yp2?10yp?25,整理,得xp?yp?5?0

2点Pxp,yp在抛物线y??x?6x?5上,?yp??xp?6xp?5,

??2?xp???xp2?6xp?5??5?0,解得xp?2或xp?5,?yp?3或yp?0

?点P为?2,3?或?5,0?(舍去)

综上,满足条件的点P的坐标为?7,?12?或?2,3?

以上的答案供大家参考,各题可能有不同的解法,希望大家再探究。