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数学
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已知函数fx是奇函数,gx是偶函数且 fx+gx=x^2-x+2,求fx,gx的解析式.
人气:353 ℃ 时间:2019-09-19 07:52:40
解答
解由 f(x)+g(x)=x^2-x+2,.(1)用-x代替x得f(-x)+g(-x)=(-x)^2-(-x)+2,即-f(x)+g(x)=x^2+x+2,.(2)由(1)+(2)得2g(x)=2x^2+4即g(x)=x^2+2把g(x)=x^2+2代入(1)得f(x)=-x即f(x)=-xg(x)=...
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