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试题已知函数f(x)=-x2+ln(1+2x).(1)求f(x)的最大值;(2)若b>a>0,证明:lna+1b+1>(a-b)(a+b+1).这是2011年春季湖北省部分重点中学期中联考高二数学(理科)试卷的一道压轴题,每个班只有三、五名学生能动手解答第(2)问:双参数不等
(1) Find the maximum value of f (x); (2) If b> a> 0, prove that: lna + 1b + 1> ( (a + b + 1). This is a finale of the Spring 2011 High School Mathematics Mathematics (Science) Examination Paper for some key middle schools in Hubei Province in spring 2011. Only three or five students in each class can answer section (2 Q: The two parameters are not equal