已知函数f(x)的定义域是:x不等于0 的一切实数,对定义域内的任意x1,x2 都有f(x1乘x2)=f(x1)加f(x2) ,切当 x>1时,f(x)>0,f(2)=1 (1)求证f(x)是偶函数,(2)求证 f(x)在(0,正无穷)上是增函数(3)试比较 f(-0.4
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![已知函数f(x)的定义域是:x不等于0 的一切实数,对定义域内的任意x1,x2 都有f(x1乘x2)=f(x1)加f(x2) ,切当 x>1时,f(x)>0,f(2)=1 (1)求证f(x)是偶函数,(2)求证 f(x)在(0,正无穷)上是增函数(3)试比较 f(-0.4](/uploads/image/z/3135875-59-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E6%98%AF%3Ax%E4%B8%8D%E7%AD%89%E4%BA%8E0+%E7%9A%84%E4%B8%80%E5%88%87%E5%AE%9E%E6%95%B0%2C%E5%AF%B9%E5%AE%9A%E4%B9%89%E5%9F%9F%E5%86%85%E7%9A%84%E4%BB%BB%E6%84%8Fx1%2Cx2+%E9%83%BD%E6%9C%89f%28x1%E4%B9%98x2%29%3Df%28x1%EF%BC%89%E5%8A%A0f%EF%BC%88x2%29+%2C%E5%88%87%E5%BD%93+x%EF%BC%9E1%E6%97%B6%2Cf%28x%29%EF%BC%9E0%2Cf%282%29%3D1+%281%29%E6%B1%82%E8%AF%81f%28x%29%E6%98%AF%E5%81%B6%E5%87%BD%E6%95%B0%2C%282%29%E6%B1%82%E8%AF%81+f%28x%29%E5%9C%A8%280%2C%E6%AD%A3%E6%97%A0%E7%A9%B7%EF%BC%89%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%283%29%E8%AF%95%E6%AF%94%E8%BE%83+f%28-0.4)
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