用平方差公式，有步骤
\u8981\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u8fc7\u7a0b\uff01\uff01
\u770b\u770b\u5427^\u3002^
绛旓細鍋氶姝ラ锛1銆佸厛鍒ゆ柇鑳藉惁浣跨敤骞虫柟宸叕寮忋傚垽鏂緷鎹細涓瀵圭浉绛夐」锛屼竴瀵圭浉鍙嶉」銆2銆佸鏋滃彲浠ヤ娇鐢紝鍒欎竴鑸儏鍐典笅鎴戜滑鍙互灏嗙浉绛夌殑涓椤规斁鍦ㄥ椤瑰紡鐨勭涓浣嶈繘琛岃绠楋紙绗竴涓暟鐨勫钩鏂瑰噺鍘荤浜屼釜鏁扮殑骞虫柟锛夛紱3銆佷笉绠¤兘鍚浣跨敤骞虫柟宸叕寮忥紝澶氶」寮忎箻浠ュ椤瑰紡鏄熀鏈柟娉曘
绛旓細骞虫柟宸叕寮忔槸鍏堝钩鏂瑰啀鍑 a²-b²= (a+b)(a-b)銆傚畬鍏ㄥ钩鏂瑰叕寮忔槸鍏堝姞鍑忔渶鍚庢槸骞虫柟 (a卤b)²=a²卤2ab+b²銆傚钩鏂瑰樊鍏紡鏄寚涓や釜鏁扮殑鍜屼笌杩欎袱涓暟宸殑绉紝绛変簬杩欎袱涓暟鐨勫钩鏂瑰樊锛岃繖涓鍏紡鐨勭粨鏋勭壒寰侊細宸﹁竟鏄袱涓簩椤瑰紡鐩镐箻锛岃繖涓や釜浜岄」寮忎腑鏈変竴椤瑰畬鍏ㄧ浉鍚岋紝鍙︿竴...
绛旓細(a+b)脳(a-b)=a²-b²锛屽嵆涓や釜鏁扮殑骞虫柟宸紝绛変簬杩欎袱涓暟鐨勫拰涓庤繖涓や釜鏁扮殑宸殑绉傚畠灞炰簬涔樻硶鍏紡銆佸洜寮忓垎瑙ｅ強鎭掔瓑寮忥紝琚櫘閬浣跨敤銆骞虫柟宸叕寮 琛ㄧ幇褰㈠紡锛(a+b)脳(a-b)=a²-b²鍗充袱涓暟鐨勫钩鏂瑰樊锛岀瓑浜庤繖涓や釜鏁扮殑鍜屼笌杩欎袱涓暟鐨勫樊鐨勭Н銆傝В鏋愶細(a+b)脳(a-b...
绛旓細=(2-1)(2+1)(2²+1)(2鐨4娆℃柟+1)(2鐨8娆℃柟+1)(2鐨16娆℃柟+1)+1 =(2²-1)(2²+1)(2鐨4娆℃柟+1)(2鐨8娆℃柟+1)(2鐨16娆℃柟+1)+1 =(2鐨4娆℃柟-1)(2鐨4娆℃柟+1)(2鐨8娆℃柟+1)(2鐨16娆℃柟+1)+1 =(2鐨8娆℃柟-1)(2鐨8娆℃柟+1)(2鐨16娆℃柟+1)+1 =(...
绛旓細锛坅+b锛壝楋紙a-b锛=a²-b²銆傝繖閲屾槸骞虫柟宸叕寮忕殑閫氱敤鍐欐硶锛屽彲浠ョ敤浜庣畝渚胯繍绠椼傛瘮濡傦細101脳99=锛100+1锛壝楋紙100-1锛=100²-1²=10000-1=9999銆
绛旓細骞虫柟宸叕寮鐨勬帹瀵 1銆佺敤姝ｆ柟褰㈡帹瀵硷細璁惧ぇ姝ｆ柟褰㈣竟闀挎槸a锛屽皬姝ｆ柟褰㈣竟闀夸负b锛屽ぇ姝ｆ柟褰㈤潰绉紙a^2锛夊噺鍘诲皬姝ｆ柟褰㈢殑闈㈢Н锛坆^2锛夌殑宸紝灏辨槸闃村奖闈㈢Н銆2銆佺敤闀挎柟褰㈡帹瀵硷細鎶婇槾褰遍潰绉壀涓嬫嫾鎴愰暱鏂瑰舰锛岄暱鏂瑰舰鐨勯暱锛坅+b锛夛紝瀹戒负锛坅-b锛夛紝闀挎柟褰㈢殑闈㈢Н鍏紡鏄暱脳瀹斤紝涔熷氨鏄蓟锛坅+b锛壝楋紙a-b]锛屾墍浠...
绛旓細1銆佷袱鏁板拰涔樹袱鏁板樊锛岀瓑浜庝袱鏁板钩鏂瑰樊銆傚嵆锛(a+b)(a−b)=a2−b2 杩欎釜鍙ｈ瘈鍙互鐢ㄦ潵蹇熻蹇骞虫柟宸叕寮鐨勫舰寮忓拰杩愮畻鏂规硶銆傚湪鍙ｈ瘈涓紝鈥滀袱鏁板拰鈥濇寚鐨勬槸涓や釜鏁扮浉鍔犵殑鍜岋紝鈥滀袱鏁板樊鈥濇寚鐨勬槸涓や釜鏁扮浉鍑忕殑宸紝鑰屸滀袱鏁板钩鏂瑰樊鈥濆垯琛ㄧず涓や釜鏁扮殑骞虫柟宸傝繖涓彛璇鍙互鐩存帴鐢ㄤ簬鍏紡(a+b)(a...
绛旓細1銆佸钩鏂瑰樊鍏紡(Difference of Squares Formula)杩欎釜鍏紡鍙傜敤浜庝袱涓暟鐨勫钩鏂瑰樊锛屽嵆涓涓暟鍑忓幓鍙︿竴涓暟鐨勫钩鏂广傝搴旂敤骞虫柟宸叕寮忥紝纭繚浣犳湁涓や釜骞虫柟鐨勮〃杈惧紡锛屼笖瀹冧滑涔嬮棿娌℃湁鍏朵粬椤广傚綋浣犻亣鍒扮被浼煎舰寮忕殑琛ㄨ揪寮忔椂锛屽彲浠浣跨敤骞虫柟宸叕寮灏嗗叾鍥犲紡鍒嗚В銆2銆佸畬鍏骞虫柟鍏紡(Perfect Square Formula)瀹屽叏骞虫柟鍏紡閫傜敤...
绛旓細姝ラ涓锛氬皢骞虫柟宸紡鍐欐垚$a^2-b^2$鐨勫舰寮忋傛楠や簩锛氭牴鎹洜寮忓垎瑙骞虫柟宸叕寮忥紝灏$a^2-b^2$杞寲涓$(a+b)(a-b)$銆傛楠や笁锛氭牴鎹叿浣撻棶棰橈紝杩涗竴姝ュ寲绠鎴栬绠椼備笅闈㈡垜浠氳繃鍑犱釜渚嬪瓙鏉ヨ鏄庡洜寮忓垎瑙ｅ钩鏂瑰樊鍏紡鐨勫簲鐢ㄣ備緥瀛愪竴锛氬皢骞虫柟宸紡$x^2-9$杩涜鍥犲紡鍒嗚В銆傝В锛氭牴鎹洜寮忓垎瑙ｅ钩鏂瑰樊鍏紡锛$x^2-...
绛旓細鍥犳锛屾垜浠彲浠ュ簲鐢骞虫柟宸叕寮忥紝寰楀埌P锛坸锛=锛坸^2+1锛夛紙x^2-1锛夈傛帴涓嬫潵锛屾垜浠皢x^2-1缁х画鍒嗚В涓猴紙x+1锛夛紙x-1锛夛紝鎵浠ユ渶缁堢殑鍒嗚В鍥犲紡涓篜锛坸锛=锛坸^2+1锛夛紙x+1锛夛紙x-1锛夈傞氳繃杩欎釜渚嬪瓙锛屾垜浠彲浠ョ湅鍒板钩鏂瑰樊鍏紡鍒嗚В鍥犲紡鐨姝ラ锛氶鍏堝皢澶氶」寮忓啓鎴愪袱涓暣寮忕殑骞虫柟宸殑褰㈠紡锛岀劧鍚浣跨敤骞虫柟宸...
