初三数学 (通用版上册)
二次函数综合

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1.定义:若抛物线的顶点与x轴的两个交点构成的三角形是直角三角形,则这种抛物线就称为:“美丽抛物线”. 如图,直线l:y=x+b经过点M(0,),一组抛物线的顶点B1(1,y1),B2(2,y2),B3(3,y3),…Bn(n,yn)(n为正整数),依次是直线l上的点,这组抛物线与x轴正半轴的交点依次是:A1(x1,0),A2(x2,0),A3(x3,0),…An+1(xn+1,0)(n为正整数). 若x1=d(0<d<1),当d为(  )时,这组抛物线中存在美丽抛物线.
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