初一平方差公式，完全平方公式经典例题！急！明天考试！ 完全平方公式例题以及平方差公式例题（100个以上）要偏简单的...
\u521d\u4e00\u6570\u5b66\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u989840\u9053\u548c\u5e73\u65b9\u5dee\u516c\u5f0f20\u9053\u81ea\u5df1\u51fa\u4e48\uff1f\u3002\u3002\u3002\u3002\u3002\u771f\u3002\u3002\u3002\u3002\u53ea\u8981\u719f\u7ec3\u8fd0\u7528\u516c\u5f0f\u5c31\u884c\u3002\u3002\u3002\u6bcf\u9053\u9898\u90fd\u5361\u4f4f\u516c\u5f0f\uff0c\u7136\u540e\u53d8\u53d8\u578b\u3002\u4e0d\u7528\u592a\u9ebb\u70e6\u3002\u52a0\u6cb9\uff01
\u7ec3\u4e60\u9898
\u2460\uff1a104²\uff08\u5de7\u7b97\uff09
\u89e3\uff1a\u539f\u5f0f=100²+2\u00d7100\u00d74+4²
=10000+800+16
=1086
\u2461\uff1a198²=\uff08200-2\uff09²
\u89e3\uff1a\u539f\u5f0f=200²-2\u00d7200\u00d72+2²
=40000-800+4
=39204
\u2462\uff1a \uff08xy+z)(-xy+z)
\u89e3:\u539f\u5f0f=-\uff08xy+z)(xy+z)
=-\uff08xy+z\uff09²
=-\uff08xy²+2xyz+z²\uff09
=-x²y²-2xyz-z²
\u2463\uff1a\uff08-x-y)(x+y)
\u89e3\uff1a\u539f\u5f0f=-(x+y)(x+y)
=-(x+y)²
=-x-2xy-y²
\u2464\uff1a(x-2)(x+2)(x²+4)
\u89e3\uff1a\u539f\u5f0f=(x²-4)(x²+4)
=x\u7684\u56db\u6b21\u65b9-16
6\uff0e(4x-3x)2\uff1b 7.(-4xy+ab)2\uff1b
8\uff0e10\u00b732\uff1b 9\uff0e(x-2y+3y)2\uff0e
\u89e3\uff1a6\uff0e(4x-3y)2
\uff1d(4x)2-2(4x)\u00b7(3y)+(3y)2
\uff1d16x2-24xy+9y2\uff0e
7\uff0e(-4xy+ab)2
\uff1d(-4xy)2+2(-4xy)\u00b7(ab)+(ab)2
\uff1d16x2y2-8abxy+a2b2
8\uff0e10.32\uff1d(10+0.3)2
\uff1d100+6+0.09\uff1d106.09\uff0e
9\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
\u672c\u9898\u662f\u5e73\u65b9\u5dee\u516c\u5f0f\u4e0e\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u7efc\u5408\u8fd0\u7528\u7684\u8ba1\u7b97\u9898\uff0e\u5148\u8fd0\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u4ea4\u6362\u6210\u540c\u9879\u5728\u524d\u76f8\u53cd\u9879\u5728\u540e\u4e3a(4a+c-3b)(4a+c+3b)\uff0e\u518d\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u4e2d\u7684a\u4ee3\u63624a+c\uff0cb\u4ee3\u63623b\uff0e\u6700\u540e\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u8ba1\u7b97(4a+c)2\uff0e
(3d+c)(3d-c)=?
16a²-4b²=?
25a²b²-4=?
(-2m-3n)(2m-3n)
（1）502的平方—498的平方
（2）a+b=3,b-a=16,求a的平方—b的平方
绛旓細杩欐槸涓や釜瀹屽叏涓嶅悓鐨鍏紡锛閫傜敤浜庝笉鍚岀殑棰樺瀷瑙ｇ瓟銆瀹屽叏骞虫柟宸叕寮锛(a-b)²=a²-2ab+b²骞虫柟宸叕寮忥細(a+b)(a-b)=a²-b²銆
绛旓細瀹屽叏骞虫柟鍜骞虫柟宸叕寮瑙ｆ瀽濡備笅锛氬畬鍏ㄥ钩鏂瑰拰骞虫柟宸叕寮忔槸鏁板涓殑涓绉嶉噸瑕鍏紡锛鐢ㄤ簬姹傝В鏁板瓧鐨勫钩鏂瑰拰浠ュ強骞虫柟宸傚畠鍙互搴旂敤浜庡悇涓鍩燂紝濡備唬鏁般佸嚑浣曞绛夈備笅闈㈠皢璇︾粏浠嬬粛鍏充簬瀹屽叏骞虫柟鍜屽钩鏂瑰樊鍏紡鐨勭浉鍏崇煡璇嗐1.瀹屽叏骞虫柟鍏紡 瀹屽叏骞虫柟鍏紡鏄寚涓涓暣鏁扮殑骞虫柟鍙互琛ㄧず鎴愪袱涓繛缁嚜鐒舵暟涔嬪拰鎴栦袱涓繛缁嚜鐒舵暟...
绛旓細骞虫柟宸鍜瀹屽叏骞虫柟鍏紡鏄唬鏁颁腑甯歌鐨勪袱涓熀鏈畾鐞嗭紝瀹冧滑鎻忚堪浜嗕袱涓暟鐨勫拰鎴栧樊鐨勫钩鏂逛笌鍚勪釜鏁扮殑骞虫柟浠ュ強瀹冧滑鐨勪箻绉箣闂寸殑鍏崇郴銆備袱鏁板拰鐨勫畬鍏ㄥ钩鏂瑰叕寮忎负锛(a+b)^2 = a^2 + 2ab + b^2銆傝繖涓叕寮忚〃鏄庯紝褰撲袱涓暟鐩稿姞鏃讹紝鍏跺拰鐨勫钩鏂圭瓑浜庡畠浠悇鑷殑骞虫柟涔嬪拰锛屽啀鍔犱笂瀹冧滑涔樼Н鐨勪袱鍊嶃備袱鏁板樊鐨勫畬鍏...
绛旓細1銆佸叕寮忎笉鍚 瀹屽叏骞虫柟宸叕寮锛氾紙a-b锛²=a²-2ab+b²銆傚钩鏂瑰樊鍏紡锛歛²-b²=锛坅+b锛夛紙a-b锛夈2銆佽绠楀叿浣撴暟鎹粨鏋滀笉鍚岋紙鑻=2锛宐=1锛夊畬鍏ㄥ钩鏂瑰樊鍏紡锛氾紙a-b锛²=a²-2ab+b²=1銆傚钩鏂瑰樊鍏紡锛歛²-b²=锛坅+b锛夛紙a-b锛=...
绛旓細瀹屽叏骞虫柟鍜骞虫柟宸叕寮鏄暟瀛︿腑缁忓吀鐨勬眰瑙ｉ棶棰樼殑宸ュ叿锛屽簲鐢ㄥ箍娉涖備笅闈㈡垜灏嗕粙缁嶄竴浜涗笌瀹屽叏骞虫柟鍜屽钩鏂瑰樊鍏紡鐩稿叧鐨勭粡鍏搁鍨嬨1.瀹屽叏骞虫柟鍏紡鐨勫簲鐢細缁欏畾涓涓簩娆℃柟绋嬶紝渚嬪x^2+6x+9锛屾垜浠彲浠ラ氳繃瀹屽叏骞虫柟鍏紡灏嗗叾杩涜鍥犲紡鍒嗚В銆傚畬鍏ㄥ钩鏂瑰叕寮忚〃杈惧紡涓(a+b)^2=a^2+2ab+b^2銆傚浜庣粰瀹氱殑浜屾鏂圭▼锛屾垜浠...
绛旓細瀹屽叏骞虫柟鍏紡涓骞虫柟宸叕寮鐨勫簲鐢 瀹屽叏骞虫柟鍏紡鐨勫簲鐢ㄩ潪甯稿箍娉涳紝闄や簡鐢ㄤ簬鍥犲紡鍒嗚В澶栵紝杩樺彲浠ョ敤浜庨厤鏂规硶銆佹眰鏍瑰叕寮忕瓑鏂归潰鐨勮瘉鏄庡拰璁＄畻銆備緥濡傦紝鍦ㄩ厤鏂规硶涓锛屽畬鍏ㄥ钩鏂瑰叕寮鍙互鐢ㄤ簬灏嗕竴涓簩娆″嚱鏁板寲涓烘爣鍑嗗紡锛屾眰鍑哄叾鏈灏忓硷紱鍦ㄦ眰鏍瑰叕寮忎腑锛屽畬鍏ㄥ钩鏂瑰叕寮忓彲浠ョ敤浜庡皢涓鍏冧簩娆℃柟绋嬬殑鏍硅〃绀轰负涓や釜涓娆″洜寮忕殑涔樼Н銆傚钩...
绛旓細1銆佸叕寮忎笉鍚 瀹屽叏骞虫柟宸叕寮锛氾紙a-b锛²=a²-2ab+b²銆傚钩鏂瑰樊鍏紡锛歛²-b²=锛坅+b锛夛紙a-b锛夈2銆佽绠楀叿浣撴暟鎹粨鏋滀笉鍚岋紙鑻=2锛宐=1锛夊畬鍏ㄥ钩鏂瑰樊鍏紡锛氾紙a-b锛²=a²-2ab+b²=1銆傚钩鏂瑰樊鍏紡锛歛²-b²=锛坅+b锛夛紙a-b锛=...
绛旓細瀹屽叏骞虫柟鍏紡鏄(a+b)^2=a^2+2ab+b^2 (a-b)^2=a^2-2ab+b^2 骞虫柟宸叕寮鏄細(a+b)(a-b)=a^2-b^2锛屼袱涓暟鐨勫拰涓庤繖涓や釜鏁板樊鐨勭Н锛岀瓑浜庤繖涓や釜鏁扮殑骞虫柟宸紝杩欎釜鍏紡灏卞彨鍋氫箻娉曠殑骞虫柟宸叕寮忓鐪嬶紝澶氳锛屽鑳岋紝澶氳
绛旓細琛ㄨ揪寮忥細(a+b)(a-b)=a^2-b^2锛屼袱涓暟鐨勫拰涓庤繖涓や釜鏁板樊鐨勭Н锛岀瓑浜庤繖涓や釜鏁扮殑骞虫柟宸紝杩欎釜鍏紡灏卞彨鍋氫箻娉曠殑骞虫柟宸叕寮锛堣嫳鏂囷細formula for the difference of square锛夈傚綋闄ゅ紡鏄袱涓暟涔嬪拰浠ュ強杩欎袱涓暟涔嬪樊鐩镐箻鏃讹紝绉槸浜岄」寮忋傝繖鏄洜涓哄叿澶囪繖鏍风壒鐐圭殑涓や釜浜岄」寮忕浉涔橈紝绉殑鍥涢」涓紝浼氬嚭鐜颁簰...
绛旓細2銆佸垎瑙ｅ洜寮忎竴瀹氳鍒嗚В鍒颁笉鑳藉啀鍒嗕负姝紝鍥犳鍦ㄧ‘瀹氬叕鍥犲紡鏃惰纭畾鍏洜寮忕殑绯绘暟鍜屽瓧姣嶉儴浠斤紝鍏蜂綋鐨勫氨鏄細绯绘暟鏄悇椤圭郴鏁扮殑鏈澶у叕绾︽暟锛涘瓧姣嶉儴浠芥槸鐩稿悓瀛楁瘝鐨勬渶浣庢骞傘3銆佸叕寮忥細骞虫柟宸叕寮 a²-b²=(a+b)(a-b)瀹屽叏骞虫柟鍏紡 a²+2ab+b²=(a+b)²a²-2ab+b...
