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例1.已知定义在正实数集上的函数(fx)=1/2x2+2ax,g(x)=3a2lnx+b,其中a>0.设两曲线y=(fx),y=g(x)有公共点,且在该点处的切线相同.(1)用a表示b,并求b的最大值;
Example 1. It is known that the function (fx) defined on a positive real number set is 1 / 2x2 + 2ax, g (x) = 3a2lnx + b, where a> x) has a common point, and the tangents at that point are the same. (1) Use a to denote b and find the maximum of b;