在平行四边形OABP中,过点p的直线与线段OA,OB分别相交于点M,N若,向量OM=x向量OA,向量ON=y向量OB,(0

问题描述:

在平行四边形OABP中,过点p的直线与线段OA,OB分别相交于点M,N若,向量OM=x向量OA,向量ON=y向量OB,(0

1.OP = AB = OB - OA ,则 NM = OM - ON =x OA -y OB , MP = OP - OM =( OB - OA )-x OA =-(1+x) OA + OB 又 NM ∥ MP ,有x-y(1+x)=0,即函数的解析式为:f(x)=x x+1 (0<x<1);2.由(1)得F(x)=1 f(x) +...