已知函数f(x)=|x+1|+|x-a|(x∈R,a是常数)的图像关于y轴对称已知函数f(x)=┃x+1┃+┃x-a┃(x∈R,a是常数)的图像关于y轴对称.(1)求a值 (2)设g(x)=f(x-t)-f(x+t),判断g(x)的奇偶性,并给出证明.
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![已知函数f(x)=|x+1|+|x-a|(x∈R,a是常数)的图像关于y轴对称已知函数f(x)=┃x+1┃+┃x-a┃(x∈R,a是常数)的图像关于y轴对称.(1)求a值 (2)设g(x)=f(x-t)-f(x+t),判断g(x)的奇偶性,并给出证明.](/uploads/image/z/2569145-41-5.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%7Cx%2B1%7C%2B%7Cx-a%7C%28x%E2%88%88R%2Ca%E6%98%AF%E5%B8%B8%E6%95%B0%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8Ey%E8%BD%B4%E5%AF%B9%E7%A7%B0%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%E2%94%83x%2B1%E2%94%83%2B%E2%94%83x-a%E2%94%83%28x%E2%88%88R%2Ca%E6%98%AF%E5%B8%B8%E6%95%B0%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8Ey%E8%BD%B4%E5%AF%B9%E7%A7%B0.%EF%BC%881%EF%BC%89%E6%B1%82a%E5%80%BC+%EF%BC%882%EF%BC%89%E8%AE%BEg%28x%29%3Df%28x-t%29-f%28x%2Bt%29%2C%E5%88%A4%E6%96%ADg%EF%BC%88x%EF%BC%89%E7%9A%84%E5%A5%87%E5%81%B6%E6%80%A7%2C%E5%B9%B6%E7%BB%99%E5%87%BA%E8%AF%81%E6%98%8E.)
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