题目

Why should mankind explore space? Why should money, time and effort be spent exploring and researching something with so few apparent benefits? Why should resources be spent on space rather than on conditions and people on Earth? These are questions that, understandably, are very often asked.      Perhaps the best answer lies in our genetic makeup(基因构成) as human beings. What drove our ancestors to move from the trees into the plains, and on into all possible areas and environments? The wider the spread of a species, the better its chance of survival. Perhaps the best reaso下图是二次函数y=（x+m）2+k的图象，其顶点坐标为M（1，-4）．（1）求出图象与x轴的交点A，B的坐标；（2）在二次函数的图象上是否存在点P，使S△PAB=S△MAB？若存在，求出P点的坐标；若不存在，请说明理由；（3）将二次函数的图象在x轴下方的部分沿x轴翻折，图象的其余部分保持不变，得到一个新的图象，请你结合这个新的图象回答：当直线y=x+b（b＜1）与此图象有两个公共点时，b的取值范围．