题目

You either have it , or you don’t –a sense of direction ,that is.But why is it that some people could find their way across the Sahara without a map ,while others can lose themselves in the next street?        Scientists say we’re all born with a sense of direction ,but it is not property understood how it works.One theory is that people with a good sense of direction have simply worked harder at developing it.Research being carried out at Liverpool University supports this idea and suggests that if we don’t use it.we lose it.        “Children as young as seven (2002•南京)已知抛物线y=a(x-t-1)2+t2(a,t是常数,a≠0,t≠0)的顶点是A,抛物线y=x2-2x+1的顶点是B.(1)判断点A是否在抛物线y=x2-2x+1上,为什么?(2)如果抛物线y=a(x-t-1)2+t2经过点B,①求a的值;②这条抛物线与x轴的两个交点和它的顶点A能否构成直角三角形?若能,求出t的值;若不能,请说明理由.
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