平方差 完全平方公式的一些题目 急 要过程

\u6570\u5b66 \u4e00\u4e9b \u5173\u4e8e\u5e73\u65b9\u5dee\u548c\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u7684\u9898\u76ee \u6025 \u8981\u8fc7\u7a0b \u8be6\u7ec6

\u2460 6\u00d7\uff087+1\uff09\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=(7-1)\u00d7\uff087+1\uff09\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=\uff087\u7684\u5e73\u65b9-1\uff09\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=(7\u76844\u6b21\u65b9-1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=\uff087\u76848\u6b21\u65b9-1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=\uff087\u768416\u6b21\u65b9-1\uff09+1
=7\u768416\u6b21\u65b9
\u24612008²-4016\u00d72009+2009²
=2008²-2X2008\u00d72009+2009²
=(2008-2009)²
=1
\u2462\u5df2\u77e5a²+b²+a²b²+1=4ab
a²+b²-2ab+a²b²-2ab+1=0
(a-b)²+(ab-1)²=0
\u6240\u4ee5
a=b,ab=1
a=1or-1
\uff08a+2\uff09\uff08a-2\uff09=a²-4=1-4=-3
\u2463\u82e5n\u6ee1\u8db3\uff08n-2010\uff09²+\uff082011-n\uff09²=1\uff0c\u8bd5\u6c42\uff082011-n\uff09\uff08n-2010\uff09\u7684\u503c.\uff5b\u8bben-2010=x\uff0c2011-n=y\uff5d
x²+y²=1
x+y=2011-2010=1
\uff082011-n\uff09\uff08n-2010\uff09=xy=[(x+y)²-(x²+y²)]/2=(1²-1)/2=0

6\u00d7\uff087+1\uff09\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=(7-1)\u00d7\uff087+1\uff09\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=\uff087\u7684\u5e73\u65b9-1)\u00d7\uff087\u7684\u5e73\u65b9+1\uff09\u00d7 \uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=\uff087\u7684\u56db\u6b21\u65b9-1)\uff087\u7684\u56db\u6b21\u65b9+1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=(7\u7684\u516b\u6b21\u65b9-1\uff09\u00d7\uff087\u7684\u516b\u6b21\u65b9+1\uff09+1
=7^16-1+1
=7^16
\u24612008²-4016\u00d72009+2009² =2008²-2*2008\u00d72009+2009²
=(2008-2009)^2=1
\u2462a²+b²+a²b²+1=4ab
a²+b²-2ab+a²b²+1-2ab=0
(a-b)^2+(ab-1)^2=0
a=b
ab=1
\u89e3\u5f97a=\u00b1
\uff08a+2\uff09*\uff08a-2\uff09=a^2-4=-3
\u2463\u8bben-2010=x\uff0c2011-n=y
x^2+y^2=1
y=1-x
x²+(-x+1)²=1
\u4ee3\u5165\u89e3\u5f97
x1=1\uff0cy1=0
x2=0\uff0cy2=1
\uff082011-n\uff09*\uff08n-2010\uff09=x*y=0

1.由题得b-a=-7 1/2*(a^2+b^2)-ab=1/2*(a-b)^2=49/2
2.a²+b²+2a-4b+5=(a+1)^2+(b-2)^2=0 则a=-1,b=2 带入得结果为7

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