定义在R上的函数f(x)满足:f(x)=f(4-x)且f(2-x)+f(x-2)=0.证明这个函数既是奇函数定义在R上的函数f(x)满足:f(x)=f(4-x)且f(2-x)+f(x-2)=0.证明:这个函数既是奇函数.若f(-3)=1,求f(2011)的值.
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![定义在R上的函数f(x)满足:f(x)=f(4-x)且f(2-x)+f(x-2)=0.证明这个函数既是奇函数定义在R上的函数f(x)满足:f(x)=f(4-x)且f(2-x)+f(x-2)=0.证明:这个函数既是奇函数.若f(-3)=1,求f(2011)的值.](/uploads/image/z/13330459-19-9.jpg?t=%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3%3Af%28x%29%3Df%284-x%29%E4%B8%94f%282-x%29%2Bf%28x-2%29%3D0.%E8%AF%81%E6%98%8E%E8%BF%99%E4%B8%AA%E5%87%BD%E6%95%B0%E6%97%A2%E6%98%AF%E5%A5%87%E5%87%BD%E6%95%B0%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3%3Af%28x%29%3Df%284-x%29%E4%B8%94f%282-x%29%2Bf%28x-2%29%3D0.%E8%AF%81%E6%98%8E%EF%BC%9A%E8%BF%99%E4%B8%AA%E5%87%BD%E6%95%B0%E6%97%A2%E6%98%AF%E5%A5%87%E5%87%BD%E6%95%B0.%E8%8B%A5f%28-3%29%3D1%2C%E6%B1%82f%282011%29%E7%9A%84%E5%80%BC.)
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