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金华十校2013-2014学年第一学期期末调研考试21题:已知函数g(x)=4x-n/2x是奇函数,f(x)=log4(4x+1)+mx是偶函数.(1)求m+n的值;(2)判断g(x)在R上的单调性,并用单调性的定义加以证明.由市教研室牵头组织,除兰溪一中省一级重点中学外,其余普通高中全都集中一起网上流水阅卷,笔者参与此题的阅卷.从阅卷情况看,绝大多数同学能利用已知函数g(x)
Jinhua 10 School 2013-2014 first semester end of the research exam 21 questions: Known function g (x) = 4x-n/2x is an odd function, f (x) = log4 (4x + 1) + mx is an even function. (1) Find the value of m+n; (2) Determine the monotonicity of g(x) on R and prove it with the definition of monotonicity. Leaded by the City Teaching and Research Office, except for the Lanzhou No. 1 Provincial Key Primary School, The rest of the senior high school students all concentrated on the online stream reading. The author participated in the examination of this question. From the reading situation, most students can use the known function g(x).