已知三角形ABC的三边长a,b,c满足关系式a^2+b^2=2ab=2bc-2b^2,试说明三角形ABC是等边三角形.如题(1)已知三角形ABC的三边长a,b,c满足关系式a^2+c^2=2ab+2bc-2b^2,试说明三角形ABC是等边三角形。(2)一
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![已知三角形ABC的三边长a,b,c满足关系式a^2+b^2=2ab=2bc-2b^2,试说明三角形ABC是等边三角形.如题(1)已知三角形ABC的三边长a,b,c满足关系式a^2+c^2=2ab+2bc-2b^2,试说明三角形ABC是等边三角形。(2)一](/uploads/image/z/3717409-49-9.jpg?t=%E5%B7%B2%E7%9F%A5%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%89%E8%BE%B9%E9%95%BFa%2Cb%2Cc%E6%BB%A1%E8%B6%B3%E5%85%B3%E7%B3%BB%E5%BC%8Fa%5E2%2Bb%5E2%3D2ab%3D2bc-2b%5E2%2C%E8%AF%95%E8%AF%B4%E6%98%8E%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E6%98%AF%E7%AD%89%E8%BE%B9%E4%B8%89%E8%A7%92%E5%BD%A2.%E5%A6%82%E9%A2%98%EF%BC%881%EF%BC%89%E5%B7%B2%E7%9F%A5%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E7%9A%84%E4%B8%89%E8%BE%B9%E9%95%BFa%2Cb%2Cc%E6%BB%A1%E8%B6%B3%E5%85%B3%E7%B3%BB%E5%BC%8Fa%5E2%2Bc%5E2%3D2ab%2B2bc-2b%5E2%EF%BC%8C%E8%AF%95%E8%AF%B4%E6%98%8E%E4%B8%89%E8%A7%92%E5%BD%A2ABC%E6%98%AF%E7%AD%89%E8%BE%B9%E4%B8%89%E8%A7%92%E5%BD%A2%E3%80%82%EF%BC%882%EF%BC%89%E4%B8%80)
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