如何求奇函数f(1+x)=f(1-x)的周期!因为f(x)是定义域为R的奇函数,所以有f(x)= - f(-x)。因为图像关于直线x=1对称,所以f(x)= f(2-x),所以f(2-x)=- f(-x),用X代换-X,可以得到f(2+x)=- f(x),用2+X代换X所
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![如何求奇函数f(1+x)=f(1-x)的周期!因为f(x)是定义域为R的奇函数,所以有f(x)= - f(-x)。因为图像关于直线x=1对称,所以f(x)= f(2-x),所以f(2-x)=- f(-x),用X代换-X,可以得到f(2+x)=- f(x),用2+X代换X所](/uploads/image/z/8613331-43-1.jpg?t=%E5%A6%82%E4%BD%95%E6%B1%82%E5%A5%87%E5%87%BD%E6%95%B0f%281%2Bx%29%3Df%281-x%29%E7%9A%84%E5%91%A8%E6%9C%9F%21%E5%9B%A0%E4%B8%BAf%EF%BC%88x%EF%BC%89%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BAR%E7%9A%84%E5%A5%87%E5%87%BD%E6%95%B0%EF%BC%8C%E6%89%80%E4%BB%A5%E6%9C%89f%28x%29%3D+-+f%28-x%29%E3%80%82%E5%9B%A0%E4%B8%BA%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8E%E7%9B%B4%E7%BA%BFx%3D1%E5%AF%B9%E7%A7%B0%EF%BC%8C%E6%89%80%E4%BB%A5f%28x%29%3D+f%282-x%29%EF%BC%8C%E6%89%80%E4%BB%A5f%282-x%29%3D-+f%28-x%29%EF%BC%8C%E7%94%A8X%E4%BB%A3%E6%8D%A2-X%EF%BC%8C%E5%8F%AF%E4%BB%A5%E5%BE%97%E5%88%B0f%282%2Bx%29%3D-+f%28x%29%EF%BC%8C%E7%94%A82%2BX%E4%BB%A3%E6%8D%A2X%E6%89%80)
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