设非零实数a,b,c,满足(a-b)2=4(b-c)(c-a),求a+b/c的值
设非零实数a,b,c,满足(a-b)2=4(b-c)(c-a),求a+b/c的值
好像是利用“借一还一”,即数学中的"0=a-a"
好像是利用“借一还一”,即数学中的"0=a-a"
数学人气:513 ℃时间:2020-03-17 10:48:25
优质解答
由已知得:b²-2bc+c²=4(ac-a²-bc+ab) b²+2bc+c²-4ac-4ab+4a²=0 (b+c)²-4a(b+c)+4a²=0 (b+c-2a)²=0 所以:b+c=2a,则:(b+c)/a=2.
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