因为y=tan( π 4 x- π 2 )=0? π 4 x- π 2 =kπ?x=4k+2,由图得x=2;故A(2,0)由y=tan( π 4 x? π 2 )=1? π 4 x- π 2 =kπ+ π 4 ?x=4k+3,由图得x=3,故B(3,1)所以 0A + OB =(5,1), AB =(1,1).∴( OA + OB )? AB =5×1+1×1=6.故选 B.