周期函数解析式的问题函数f(x)在R上满足关系式f(2+x)=f(2-x),f(7+x)=f(7-x),且在闭区间[0,7]上,只有f(1)=f(3)=0.(1).判断函数y=f(x)的奇偶性;(2).求方程f(x)=0在闭区间[-2005,2005]上根的个数,并证明你
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![周期函数解析式的问题函数f(x)在R上满足关系式f(2+x)=f(2-x),f(7+x)=f(7-x),且在闭区间[0,7]上,只有f(1)=f(3)=0.(1).判断函数y=f(x)的奇偶性;(2).求方程f(x)=0在闭区间[-2005,2005]上根的个数,并证明你](/uploads/image/z/10050439-31-9.jpg?t=%E5%91%A8%E6%9C%9F%E5%87%BD%E6%95%B0%E8%A7%A3%E6%9E%90%E5%BC%8F%E7%9A%84%E9%97%AE%E9%A2%98%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8R%E4%B8%8A%E6%BB%A1%E8%B6%B3%E5%85%B3%E7%B3%BB%E5%BC%8Ff%EF%BC%882%2Bx%29%3Df%282-x%29%2Cf%287%2Bx%29%3Df%287-x%29%2C%E4%B8%94%E5%9C%A8%E9%97%AD%E5%8C%BA%E9%97%B4%5B0%2C7%5D%E4%B8%8A%2C%E5%8F%AA%E6%9C%89f%281%29%3Df%283%29%3D0.%EF%BC%881%EF%BC%89.%E5%88%A4%E6%96%AD%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%A5%87%E5%81%B6%E6%80%A7%EF%BC%9B%EF%BC%882%EF%BC%89.%E6%B1%82%E6%96%B9%E7%A8%8Bf%28x%29%3D0%E5%9C%A8%E9%97%AD%E5%8C%BA%E9%97%B4%5B-2005%2C2005%5D%E4%B8%8A%E6%A0%B9%E7%9A%84%E4%B8%AA%E6%95%B0%2C%E5%B9%B6%E8%AF%81%E6%98%8E%E4%BD%A0)
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