高中数学难题啊 高人快来设函数f(x)的定义域为R,若f(π/2)=0,f(π)=-1且对任意x1,x2有:f(x1)+f(x2)=2f((x1=x2)/2)f((x1-x2)/2)成立. (1)求f(0)的值 (2)求证:f(x)是偶函数,且f(π-x)=-f(x) (3)若-π/2
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![高中数学难题啊 高人快来设函数f(x)的定义域为R,若f(π/2)=0,f(π)=-1且对任意x1,x2有:f(x1)+f(x2)=2f((x1=x2)/2)f((x1-x2)/2)成立. (1)求f(0)的值 (2)求证:f(x)是偶函数,且f(π-x)=-f(x) (3)若-π/2](/uploads/image/z/11768858-26-8.jpg?t=%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%E9%9A%BE%E9%A2%98%E5%95%8A+%E9%AB%98%E4%BA%BA%E5%BF%AB%E6%9D%A5%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BAR%2C%E8%8B%A5f%28%CF%80%2F2%29%3D0%2Cf%28%CF%80%29%3D-1%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8Fx1%2Cx2%E6%9C%89%3Af%28x1%29%2Bf%28x2%29%3D2f%28%28x1%3Dx2%29%2F2%29f%28%28x1-x2%29%2F2%29%E6%88%90%E7%AB%8B.+++++%EF%BC%881%EF%BC%89%E6%B1%82f%280%29%E7%9A%84%E5%80%BC++%EF%BC%882%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9Af%28x%29%E6%98%AF%E5%81%B6%E5%87%BD%E6%95%B0%2C%E4%B8%94f%28%CF%80-x%29%3D-f%28x%29++%283%29%E8%8B%A5-%CF%80%2F2)
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