设函数f(x)在R上满足f(2-x)=f(2+x),f(7-x)=f(7+x),且在[0,7]上,只有f(1)=f(3)=0.1.判断y=f(x)的奇偶性2.求方程f(x)=0在区间[-2012,2012]上根的个数、并证明.第一题中f(4-x)=f(x)且f(14-x)=f(x).
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![设函数f(x)在R上满足f(2-x)=f(2+x),f(7-x)=f(7+x),且在[0,7]上,只有f(1)=f(3)=0.1.判断y=f(x)的奇偶性2.求方程f(x)=0在区间[-2012,2012]上根的个数、并证明.第一题中f(4-x)=f(x)且f(14-x)=f(x).](/uploads/image/z/3700484-44-4.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8R%E4%B8%8A%E6%BB%A1%E8%B6%B3f%EF%BC%882-x%EF%BC%89%3Df%EF%BC%882%2Bx%EF%BC%89%2Cf%EF%BC%887-x%EF%BC%89%3Df%EF%BC%887%2Bx%EF%BC%89%2C%E4%B8%94%E5%9C%A8%5B0%2C7%5D%E4%B8%8A%2C%E5%8F%AA%E6%9C%89f%EF%BC%881%EF%BC%89%3Df%EF%BC%883%EF%BC%89%3D0.1.%E5%88%A4%E6%96%ADy%3Df%EF%BC%88x%EF%BC%89%E7%9A%84%E5%A5%87%E5%81%B6%E6%80%A72.%E6%B1%82%E6%96%B9%E7%A8%8Bf%EF%BC%88x%EF%BC%89%3D0%E5%9C%A8%E5%8C%BA%E9%97%B4%5B-2012%2C2012%5D%E4%B8%8A%E6%A0%B9%E7%9A%84%E4%B8%AA%E6%95%B0%E3%80%81%E5%B9%B6%E8%AF%81%E6%98%8E.%E7%AC%AC%E4%B8%80%E9%A2%98%E4%B8%ADf%284-x%29%3Df%28x%29%E4%B8%94f%2814-x%29%3Df%28x%29.)
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