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若△ABC三边a,b,c满足a²+b²+c²=ab+bc+ca.判断△ABC的形状
若△ABC三边a,b,c满足a²+b²+c²=ab+bc+ca.判断△ABC的形状
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2020-03-2700:16
若△ABC三边a,b,c满足a²+b²+c²=ab+bc+ca.判断△ABC的形状
若△ABC三边a,b,c满足a²+b²+c²=ab+bc+ca.判断△ABC的形状
a²+b²+c²=ab+bc+caa²+b²+c²-ab-bc-ac=02a²+2b²+2c²-2ab-2bc-2ac=0(a²-2ab+b²)+(b²-2bc+c²)+(c²-2ac+a²)=0(a-b)²+(b-c)²+(c-...