(1)假设S△AOC=S△COD=S△DOB,所以AC=CD=DB,由此可得,C(m/3,2n/3),D(2m/3,n/3).把C,D两点导入双曲线y=m/x中,可发现答案一致,都为n=4.5,故n=4.5.
(2)假设该抛物线y=ax^2+bx+c.因为经过(0,0)点,所以c=0.为对称轴 -b/2a=1,所以b=-2a,故y=ax^2-2ax.然后把C(m/3,3),D(2m/3,3/2)代入要y=ax^2-2ax中,可得m=18/7.P坐标为(x,7/18x)所以PROQ的面积为x*(7/18x)=7/18