已知a,b,c是三角形ABC的三边的长,且满足c^4+2a^4+2b^4-2c^2(a^2+b^2),试判断此三角形的形状
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![已知a,b,c是三角形ABC的三边的长,且满足c^4+2a^4+2b^4-2c^2(a^2+b^2),试判断此三角形的形状](/uploads/image/z/968848-16-8.jpg?t=%E5%B7%B2%E7%9F%A5a%2Cb%2Cc%E6%98%AF%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%89%E8%BE%B9%E7%9A%84%E9%95%BF%2C%E4%B8%94%E6%BB%A1%E8%B6%B3c%5E4%2B2a%5E4%2B2b%5E4-2c%5E2%28a%5E2%2Bb%5E2%29%2C%E8%AF%95%E5%88%A4%E6%96%AD%E6%AD%A4%E4%B8%89%E8%A7%92%E5%BD%A2%E7%9A%84%E5%BD%A2%E7%8A%B6)
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