请问完全平方公式是什么?
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\u4e5f\u5c31\u662f\u4e24\u6570\u548c\uff08\u6216\u5dee\uff09\u7684\u5e73\u65b9\u7b49\u4e8e\u8fd9\u4e24\u6570\u7684\u5e73\u65b9\u548c\u52a0\u4e0a\uff08\u6216\u51cf\u53bb\uff09\u8fd9\u4e24\u6570\u4e58\u79ef\u76842\u500d
\u4e24\u4e2a\u6570\u7684\u548c(\u6216\u5dee)\u7684\u5e73\u65b9\uff0c\u7b49\u4e8e\u5b83\u7684\u5e73\u65b9\u548c\uff0c\u52a0\u4e0a(\u6216\u51cf\u53bb)\u5b83\u4eec\u7684\u79ef\u76842\u500d\uff0e\u8fd9\u4e24\u4e2a\u516c\u5f0f\u53eb\u505a\u4e58\u6cd5\u7684\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff0e\u5373(a\u00b1b)2\uff1da2\u00b12ab+b2\uff0e
(a+b)(a-b)=a2- b2 (\u91cd\u70b9\u5f3a\u8c03\u516c\u5f0f\u7279\u5f81)\u53eb\u505a\u5e73\u65b9\u5dee\u516c\u5f0f,\u4e5f\u5c31\u662f:
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\u4f8b\uff1a\u5229\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u8ba1\u7b97\uff1a
1\uff0e(4x-3x)2\uff1b 2\uff0e(-4xy+ab)2\uff1b
3\uff0e10\u00b732\uff1b 4\uff0e(x-2y+3y)2\uff0e
\u89e3\uff1a1\uff0e(4x-3y)2
\uff1d(4x)2-2(4x)\u00b7(3y)+(3y)2
\uff1d16x2-24xy+9y2\uff0e
2\uff0e(-4xy+ab)2
\uff1d(-4xy)2+2(-4xy)\u00b7(ab)+(ab)2
\uff1d16x2y2-8abxy+a2b2
3\uff0e10.32\uff1d(10+0.3)2
\uff1d100+6+0.09\uff1d106.09\uff0e
4\uff0e(x-2y+3z)2
\uff1dx2+(-2y)2+(3z)2+2\u00b7x\u00b7(-2y)+2\u00b7x\u00b7
(3z)+2\u00b7(-2y)\u00b7(3z)
\uff1dx2+4y2+9z2-4xy+6xz-12yz\uff0e
\u4f8b\uff1a\u8fd0\u7528\u516c\u5f0f\u8ba1\u7b97(4a-3b+c)(4a+3b+c)
\u89e3\uff1a(4a-3b+c)(4a+3b+c)
\uff1d[(4a+c)-3b][(4a+c)+3b]
\uff1d(4a+c)2-(3b)2
\uff1d16a2+8ac+c2-9b2\uff0e
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绛旓細锛坅卤b锛²=a²卤2ab+b²鏄箻娉曞叕寮忥紝鏈悕鍙瀹屽叏骞虫柟鍏紡銆傚洜寮忓垎瑙ｆ槸鎶婁竴涓唬鏁板紡鍖栦负涔樼Н鐨勫舰寮忥紝a²卤2ab+b²=锛坅卤b锛²鏄洜寮忓垎瑙ｃ傛瘮濡99^2鐢ㄤ箻娉曞叕寮忚绠楋紝鍒╃敤(a+b)^2=a^2+2ab+b^2鍙寲涓猴紙100-1锛塣2= 100^2-2*100+1=9801 涔熷彲浠ュ埄鐢╝...
绛旓細璇烽棶浣犳湁娌℃湁瀛﹁繃瀹屽叏骞虫柟鍏紡鍟婏紵濡傛灉鏈夌殑璇濆氨濂藉姙浜嗐瀹屽叏骞虫柟鍏紡鏄杩欐牱鐨勶細锛坅+b锛²=a²+2ab+b²;(a-b)²=a²-2ab+b².鍍忚繖涓棰橈紝X²-2X=8锛屽氨鍙互鍐嶇瓑鍙蜂袱杈瑰悓鏃跺姞涓婁竴涓1鈥濓紝閭ｄ箞宸﹁竟灏卞噾鎴愪簡鈥淴²-2X+1鈥,杩欓噷灏卞彲浠ヨ繍鐢ㄥ叕寮忥紝...
绛旓細16脳X2=42脳X2=锛4X锛2瀹屽叏骞虫柟鎸嘺2脳b2=锛坅b锛2锛岃繕鏈変竴涓瀹屽叏骞虫柟鍏紡锛氾紙a+b锛2=a2+2ab+b2锛屽拰骞虫柟宸叕寮忥細a2-b2=锛坅+b锛壝楋紙a-b锛!
绛旓細a²锛媌²锛媍²锛峚b锛峛c锛峜a =(1/2)脳[2a²锛2b²锛2c²锛2ab锛2bc锛2ca]=(1/2)脳[(a²锛2ab锛媌²)锛(b²锛2bc锛媍²)锛(c²锛2ac锛媋²)]=(1/2)脳[(a锛峛)²锛(b锛峜)²锛(c锛峚)²]
绛旓細瀵逛簬妤间富鐨勯棶棰橈紝鑰冭檻涓鑸舰寮忥紝灏辨槸璁＄畻(a-b)^2銆(a-b)^2=(a-b)(a-b)=a(a-b)-b(a-b)=a^2-ab-ab+b^2 =a^2+-ab+b^2 鍗筹細(a-b)^2=a^2-2ab+b^2 杩欏氨鏄織绉扮殑鈥瀹屽叏骞虫柟鍏紡鈥濈殑涓绉嶆儏褰備笅闈㈠洖鍒版ゼ涓荤殑鍏蜂綋闂銆傚亣璁撅細a=2鈭3锛宐=鈭2 浠ｅ叆涓婇潰鐨勫畬鍏ㄥ钩鏂瑰叕寮忥細(...
绛旓細a²+b²=(a+b)²-2ab a²-b²=(a+b)(a-b)鏄骞虫柟宸鍏紡锛屽钩鏂瑰樊鍏紡锛坉ifference of two squares锛夋槸鏁板鍏紡鐨勪竴绉嶏紝瀹冨睘浜庝箻娉曞叕寮忋佸洜寮忓垎瑙ｅ強鎭掔瓑寮忥紝琚櫘閬嶄娇鐢ㄣ傚钩鏂瑰樊鎸囦竴涓钩鏂规暟鎴栨鏂瑰舰锛屽噺鍘诲彟涓涓钩鏂规暟鎴栨鏂瑰舰寰楁潵鐨勪箻娉曞叕寮忥細a²-b²...
绛旓細骞崇背灏辨槸闈㈢Н鍗曚綅涔熷氨鏄煇涓墿浣撶殑 闀縓瀹斤紳闈㈢Н 姣斿璇翠竴涓埧闂寸殑鍦伴潰绉槸锛氶暱306.5cm 瀹346.5cm 绛変簬濂藉骞虫柟? 鎬庝箞绠楃殑锛熻В锛氳繖鏄竴涓暱鏂瑰舰鎴块棿銆傞潰绉細306.5脳346.5锛106202.25锛堝钩鏂瑰帢绫筹級锛10.620225锛堝钩鏂圭背锛夌瓟锛氳繖涓埧闂撮潰绉槸10.620225骞虫柟绫炽傚缓绛戦潰绉拰浣跨敤闈㈢Н璁＄畻鍏紡锛氬缓绛戦潰绉=...
绛旓細杩欓噷鏄鍒嗚В鍥犲紡涔堜娇鐢瀹屽叏骞虫柟鍏紡鐨勮瘽锛屽嵆寰楀埌 x^2+10x -600 =(x^2+10x+25) -625 =(x+5)^2 -25^2 =(x+30)(x-20)
绛旓細骞虫柟鍜岀殑鍏紡鏄痑²+b²=锛坅+b锛²-2ab銆1銆佸钩鏂瑰拰鍏紡鐨勫舰寮忥細a²+b²=锛坅+b锛²-2ab銆傝繖涓叕寮忓彲浠ョ敤浜庤绠椾袱涓暣鏁扮殑骞虫柟鍜岋紝鍏朵腑a鍜宐鏄袱涓暣鏁般2銆佸钩鏂瑰拰鍏紡鐨勮瘉鏄庯細鎴戜滑鍙互鏍规嵁瀹屽叏骞虫柟鍏紡杩涜璇佹槑銆瀹屽叏骞虫柟鍏紡鏄锛坅+b锛²=a²+2ab...
绛旓細鐢瀹屽叏骞虫柟鍏紡锛氾紙a+1/a锛塣2=25,宸﹁竟鐢ㄥ畬鍏ㄥ钩鏂瑰叕寮忓睍寮灏卞彲浠ユ眰鍑虹粨鏋滀负23
