已知函数y=f(x)是定义在R上的偶函数且f(x+2)=1/f(x),若x∈[2,3]时,f(x)=x+1(1)求证:f(x)为周期函数;(2)求f(5.5)的值(3)画出函数y=-f(x)在[-3,3]上的图像
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![已知函数y=f(x)是定义在R上的偶函数且f(x+2)=1/f(x),若x∈[2,3]时,f(x)=x+1(1)求证:f(x)为周期函数;(2)求f(5.5)的值(3)画出函数y=-f(x)在[-3,3]上的图像](/uploads/image/z/5263566-6-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%81%B6%E5%87%BD%E6%95%B0%E4%B8%94f%28x%2B2%29%3D1%2Ff%28x%29%2C%E8%8B%A5x%E2%88%88%5B2%2C3%5D%E6%97%B6%2Cf%28x%29%3Dx%2B1%281%29%E6%B1%82%E8%AF%81%EF%BC%9Af%28x%29%E4%B8%BA%E5%91%A8%E6%9C%9F%E5%87%BD%E6%95%B0%EF%BC%9B%282%29%E6%B1%82f%285.5%29%E7%9A%84%E5%80%BC%283%29%E7%94%BB%E5%87%BA%E5%87%BD%E6%95%B0y%3D-f%28x%29%E5%9C%A8%5B-3%2C3%5D%E4%B8%8A%E7%9A%84%E5%9B%BE%E5%83%8F)
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