a-b+c的平方公式 （a+b+c）的平方 完全平方公式
(a+b+c)\u7684\u5e73\u65b9\u516c\u5f0f(a+b+c)²\uff1da²\uff0bb²\uff0bc²\uff0b2ac\uff0b2bc\uff0b2ab
\u5b8c\u5168\u5e73\u65b9\u5f0f\u662f\u6307\u5982\u679c\u6ee1\u8db3\u5bf9\u4e8e\u4e00\u4e2a\u5177\u6709\u82e5\u5e72\u4e2a\u7b80\u5355\u53d8\u5143\u7684\u6574\u5f0fA\uff0c\u5982\u679c\u5b58\u5728\u53e6\u4e00\u4e2a\u5b9e\u7cfb\u6570\u6574\u5f0fB\uff0c\u4f7fA=B^2\u7684\u6761\u4ef6\u8bdd\uff0c\u5219\u79f0A\u662f\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u4ea6\u53ef\u8868\u793a\u4e3a(a+b)²=a²+2ab+b²\u3001(a-b)²=a²-2ab+b²\u3002\u8be5\u516c\u5f0f\u662f\u8fdb\u884c\u4ee3\u6570\u8fd0\u7b97\u4e0e\u53d8\u5f62\u7684\u91cd\u8981\u7684\u77e5\u8bc6\u57fa\u7840\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u4e2d\u5e38\u7528\u5230\u7684\u516c\u5f0f\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u4e00\u3001\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f
1\u3001\u4e24\u6570\u548c\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u52a0\u4e0a\u5b83\u4eec\u7684\u79ef\u76842\u500d\u3002
\uff08a+b\uff09²=a²\ufe622ab+b²
2\u3001\u4e24\u6570\u5dee\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u51cf\u53bb\u5b83\u4eec\u7684\u79ef\u76842\u500d\u3002
\ufe59a\uff0db\ufe5a²=a²\ufe632ab+b²
\u4e8c\u3001\u516c\u5f0f\u79d8\u8bc0
\u9996\u5e73\u65b9\uff0c\u5c3e\u5e73\u65b9\uff0c\u9996\u5c3e\u76f8\u4e58\u653e\u4e2d\u95f4\u3002
\u6216\u9996\u5e73\u65b9\uff0c\u5c3e\u5e73\u65b9\uff0c\u4e24\u6570\u4e8c\u500d\u5728\u4e2d\u592e\u3002
\u4e5f\u53ef\u4ee5\u662f\uff1a\u9996\u5e73\u65b9\uff0c\u5c3e\u5e73\u65b9\uff0c\u79ef\u7684\u4e8c\u500d\u653e\u4e2d\u592e\u3002
\uff08 a\u00b1b\uff09²\uff1da²\u00b12ab\uff0bb²
\u540c\u53f7\u52a0\u3001\u5f02\u53f7\u51cf\uff0c\u8d1f\u53f7\u6dfb\u5728\u5f02\u53f7\u524d\u3002
\u5373\uff08a\uff0bb\uff09²\uff1da²\uff0b2ab\uff0bb²
\uff08a\uff0db\uff09²\uff1da²\uff0d2ab\uff0bb²\uff08\u6ce8\u610f\uff1a\u540e\u9762\u4e00\u5b9a\u662f\u52a0\u53f7\uff09
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\uff0d\u5b8c\u5168\u5e73\u65b9\u5f0f
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\uff0d\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f
(a+b+c)^2
= [(a+b)+c]^2
= (a+b)^2 + 2*(a+b)*c + c^2
= a^2 + 2*a*b + b^2 + (2*a + 2*b)*c
= a^2 + 2*a*b + b^2 + 2*a*c + 2*b*c
= a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*a*c
\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5373\uff08a+b)²=a²+2ab+b²\u3001\uff08a-b)²=a²-2ab+b²\u3002\u8be5\u516c\u5f0f\u662f\u8fdb\u884c\u4ee3\u6570\u8fd0\u7b97\u4e0e\u53d8\u5f62\u7684\u91cd\u8981\u7684\u77e5\u8bc6\u57fa\u7840\uff0c\u662f\u56e0\u5f0f\u5206\u89e3\u4e2d\u5e38\u7528\u5230\u7684\u516c\u5f0f\u3002\u8be5\u77e5\u8bc6\u70b9\u91cd\u70b9\u662f\u5bf9\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u7684\u719f\u8bb0\u53ca\u5e94\u7528\u3002
\u96be\u70b9\u662f\u5bf9\u516c\u5f0f\u7279\u5f81\u7684\u7406\u89e3\uff08\u5982\u5bf9\u516c\u5f0f\u4e2d\u79ef\u7684\u4e00\u6b21\u9879\u7cfb\u6570\u7684\u7406\u89e3\u7b49\uff09\u3002\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff1a\u4e24\u6570\u548c\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u4eec\u7684\u5e73\u65b9\u548c\u52a0\u4e0a\u5b83\u4eec\u7684\u79ef\u76842\u500d\u3002
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