△ABC三边满足a²-b²-ac+bc=0 判断△ABC的形状
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![△ABC三边满足a²-b²-ac+bc=0 判断△ABC的形状](/uploads/image/z/2505890-2-0.jpg?t=%E2%96%B3ABC%E4%B8%89%E8%BE%B9%E6%BB%A1%E8%B6%B3a%26%23178%3B-b%26%23178%3B-ac%2Bbc%3D0+%E5%88%A4%E6%96%AD%E2%96%B3ABC%E7%9A%84%E5%BD%A2%E7%8A%B6)
△ABC三边满足a²-b²-ac+bc=0 判断△ABC的形状
△ABC三边满足a²-b²-ac+bc=0 判断△ABC的形状
△ABC三边满足a²-b²-ac+bc=0 判断△ABC的形状
a²-b²-ac+bc=0
(a-b)(a+b)-c(a-b)=0
(a-b)(a+b-c)=0
a-b=0 a+b-c=0
∴a=b
∴△ABC的形状是等腰三角形