一道高中数学题求解!问题如下:已知函数f(x)对一切x、y都有f(x+y)=f(x)+f(y).(1)求证:f(x)是奇函数;(2)若f(-3)=a,试用a表示f(12).写清解题过程!不会的,别废话!!!
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![一道高中数学题求解!问题如下:已知函数f(x)对一切x、y都有f(x+y)=f(x)+f(y).(1)求证:f(x)是奇函数;(2)若f(-3)=a,试用a表示f(12).写清解题过程!不会的,别废话!!!](/uploads/image/z/3168506-2-6.jpg?t=%E4%B8%80%E9%81%93%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E9%A2%98%E6%B1%82%E8%A7%A3%21%E9%97%AE%E9%A2%98%E5%A6%82%E4%B8%8B%EF%BC%9A%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E5%AF%B9%E4%B8%80%E5%88%87x%E3%80%81y%E9%83%BD%E6%9C%89f%EF%BC%88x%2By%EF%BC%89%3Df%EF%BC%88x%EF%BC%89%2Bf%EF%BC%88y%EF%BC%89.%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9Af%EF%BC%88x%EF%BC%89%E6%98%AF%E5%A5%87%E5%87%BD%E6%95%B0%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5f%EF%BC%88-3%EF%BC%89%3Da%2C%E8%AF%95%E7%94%A8a%E8%A1%A8%E7%A4%BAf%EF%BC%8812%EF%BC%89.%E5%86%99%E6%B8%85%E8%A7%A3%E9%A2%98%E8%BF%87%E7%A8%8B%21%E4%B8%8D%E4%BC%9A%E7%9A%84%EF%BC%8C%E5%88%AB%E5%BA%9F%E8%AF%9D%EF%BC%81%EF%BC%81%EF%BC%81)
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