一道数学函数题,F(X,Y)=F(X)+F(Y)Y=F(X)的定义域为(0,+∝),且对于定义域内的任意X,Y都有F(X,Y)=F(X)+F(Y),且F(2)=1,则F(√2/2)的值为多少?
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![一道数学函数题,F(X,Y)=F(X)+F(Y)Y=F(X)的定义域为(0,+∝),且对于定义域内的任意X,Y都有F(X,Y)=F(X)+F(Y),且F(2)=1,则F(√2/2)的值为多少?](/uploads/image/z/1169941-13-1.jpg?t=%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E5%87%BD%E6%95%B0%E9%A2%98%2CF%28X%2CY%29%3DF%28X%29%2BF%28Y%29Y%3DF%28X%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BA%EF%BC%880%2C%2B%E2%88%9D%EF%BC%89%2C%E4%B8%94%E5%AF%B9%E4%BA%8E%E5%AE%9A%E4%B9%89%E5%9F%9F%E5%86%85%E7%9A%84%E4%BB%BB%E6%84%8FX%2CY%E9%83%BD%E6%9C%89F%28X%2CY%29%3DF%28X%29%2BF%28Y%29%2C%E4%B8%94F%282%29%3D1%2C%E5%88%99F%28%E2%88%9A2%2F2%29%E7%9A%84%E5%80%BC%E4%B8%BA%E5%A4%9A%E5%B0%91%3F)
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