阅读材料:若m^2-2mn+2n^2-8n+16=0,求m,n的值.∵m^2-2mn+2n^2-8n+16=0∴(m^2-2mn+n^2)+(n^2-8n+16)=0∴(m-n)^2=0,(n-4)^2=0,∴n=4,m=4根据你的观察,探究下面的题目”(1)已知x^2+2xy+2y^2+2y+1=0,求2X+y的值(2)已知△ABC的

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阅读材料:若m^2-2mn+2n^2-8n+16=0,求m,n的值.∵m^2-2mn+2n^2-8n+16=0∴(m^2-2mn+n^2)+(n^2-8n+16)=0∴(m-n)^2=0,(n-4)^2=0,∴n=4,m=4根据你的观察,探究下面的题目”(1)已知x^2+2xy+2y^2+2y+1=0,求2X+y的值(2)已知△ABC的
阅读材料:若m^2-2mn+2n^2-8n+16=0,求m,n的值.∵m^2-2mn+2n^2-8n+16=0∴(m^2-2mn+n^2)+(n^2-8n+16)=0∴(m-n)^2=0,(n-4)^2=0,∴n=4,m=4
根据你的观察,探究下面的题目”
(1)已知x^2+2xy+2y^2+2y+1=0,求2X+y的值
(2)已知△ABC的三边长a、b、c都是正整数,且满足a^2+b^2-6a-8b+25=0,求△ABC的最大边c的值
(3)已知a-b=4,ab+c^2-6c+13=0,则a+b+c=____

阅读材料:若m^2-2mn+2n^2-8n+16=0,求m,n的值.∵m^2-2mn+2n^2-8n+16=0∴(m^2-2mn+n^2)+(n^2-8n+16)=0∴(m-n)^2=0,(n-4)^2=0,∴n=4,m=4根据你的观察,探究下面的题目”(1)已知x^2+2xy+2y^2+2y+1=0,求2X+y的值(2)已知△ABC的