中考因式分解题 怎么学好初中的因式分解 化简 要掌握什么技巧，马上快中考了
\u4e2d\u8003\u5206\u89e3\u56e0\u5f0f\u4f8b\u98981\uff0e\uff082016•\u81ea\u8d21\uff09\u628aa^2\ufe634a\u591a\u9879\u5f0f\u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08\u3000\u3000\uff09
A\uff0ea\uff08a\ufe634\uff09 B\uff0e\uff08a+2\uff09\uff08a\ufe632\uff09 C\uff0ea\uff08a+2\uff09\uff08a\ufe632\uff09 D\uff0e\uff08a\ufe632\uff092\ufe634
\u3010\u5206\u6790\u3011\u76f4\u63a5\u63d0\u53d6\u516c\u56e0\u5f0fa\u5373\u53ef\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1aa^2\ufe634a=a\uff08a\ufe634\uff09\uff0c
\u6545\u9009\uff1aA\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u4e3b\u8981\u8003\u67e5\u4e86\u63d0\u516c\u56e0\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u5173\u952e\u662f\u638c\u63e1\u627e\u516c\u56e0\u5f0f\u7684\u65b9\u6cd5\uff1a\u5f53\u5404\u9879\u7cfb\u6570\u90fd\u662f\u6574\u6570\u65f6\uff0c\u516c\u56e0\u5f0f\u7684\u7cfb\u6570\u5e94\u53d6\u5404\u9879\u7cfb\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\uff1b\u5b57\u6bcd\u53d6\u5404\u9879\u7684\u76f8\u540c\u7684\u5b57\u6bcd\uff0c\u800c\u4e14\u5404\u5b57\u6bcd\u7684\u6307\u6570\u53d6\u6b21\u6570\u6700\u4f4e\u7684\uff1b\u53d6\u76f8\u540c\u7684\u591a\u9879\u5f0f\uff0c\u591a\u9879\u5f0f\u7684\u6b21\u6570\u53d6\u6700\u4f4e\u7684\uff0e
2\uff0e\uff082016•\u957f\u6625\uff09\u628a\u591a\u9879\u5f0fx^2\ufe636x+9\u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08\u3000\u3000\uff09
A\uff0e\uff08x\ufe633)^2 B\uff0e\uff08x\ufe639)^2 C\uff0e\uff08x+3\uff09\uff08x\ufe633\uff09 D\uff0e\uff08x+9\uff09\uff08x\ufe639\uff09
\u3010\u5206\u6790\u3011\u539f\u5f0f\u5229\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u5373\u53ef\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1ax^2\ufe636x+9=\uff08x\ufe633\uff09^2\uff0c
\u6545\u9009A
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u8003\u67e5\u4e86\u56e0\u5f0f\u5206\u89e3\ufe63\u8fd0\u7528\u516c\u5f0f\u6cd5\uff0c\u719f\u7ec3\u638c\u63e1\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u662f\u89e3\u672c\u9898\u7684\u5173\u952e\uff0e
3\uff0e\uff082016•\u804a\u57ce\uff09\u628a8a^3\ufe638a^2+2a\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08\u3000\u3000\uff09
A\uff0e2a\uff084a^2\ufe634a+1\uff09 B\uff0e8a^2\uff08a\ufe631\uff09 C\uff0e2a\uff082a\ufe631\uff09^2 D\uff0e2a(2a+1)^2
\u3010\u5206\u6790\u3011\u9996\u5148\u63d0\u53d6\u516c\u56e0\u5f0f2a\uff0c\u8fdb\u800c\u5229\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u5373\u53ef\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a8a^3\ufe638a^2+2a
=2a\uff084a^2\ufe634a+1\uff09
=2a\uff082a\ufe631\uff09^2\uff0e
\u6545\u9009\uff1aC\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u4e3b\u8981\u8003\u67e5\u4e86\u63d0\u53d6\u516c\u56e0\u5f0f\u6cd5\u4ee5\u53ca\u516c\u5f0f\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u719f\u7ec3\u5e94\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u662f\u89e3\u9898\u5173\u952e\uff0e
4\uff0e\uff082016•\u53f0\u6e7e\uff09\u591a\u9879\u5f0f77x2\ufe6313x\ufe6330\u53ef\u56e0\u5f0f\u5206\u89e3\u6210\uff087x+a\uff09\uff08bx+c\uff09\uff0c\u5176\u4e2da\u3001b\u3001c\u5747\u4e3a\u6574\u6570\uff0c\u6c42a+b+c\u4e4b\u503c\u4e3a\u4f55\uff1f\uff08\u3000\u3000\uff09
A\uff0e0 B\uff0e10 C\uff0e12 D\uff0e22
\u3010\u5206\u6790\u3011\u9996\u5148\u5229\u7528\u5341\u5b57\u4ea4\u4e58\u6cd5\u5c0677x^2\ufe6313x\ufe6330\u56e0\u5f0f\u5206\u89e3\uff0c\u7ee7\u800c\u6c42\u5f97a\uff0cb\uff0cc\u7684\u503c\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\u5229\u7528\u5341\u5b57\u4ea4\u4e58\u6cd5\u5c0677x^2\ufe6313x\ufe6330\u56e0\u5f0f\u5206\u89e3\uff0c
\u53ef\u5f97\uff1a77x^2\ufe6313x\ufe6330=\uff087x\ufe635\uff09\uff0811x+6\uff09\uff0e
\u2234a=\ufe635\uff0cb=11\uff0cc=6\uff0c
\u5219a+b+c=\uff08\ufe635\uff09+11+6=12\uff0e
\u6545\u9009C\uff0e
\u3010\u70b9\u8bc4\u3011\u6b64\u9898\u8003\u67e5\u4e86\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\u7684\u77e5\u8bc6\uff0e\u6ce8\u610fax2+bx+c\uff08a\u22600\uff09\u578b\u7684\u5f0f\u5b50\u7684\u56e0\u5f0f\u5206\u89e3\uff1a\u8fd9\u79cd\u65b9\u6cd5\u7684\u5173\u952e\u662f\u628a\u4e8c\u6b21\u9879\u7cfb\u6570a\u5206\u89e3\u6210\u4e24\u4e2a\u56e0\u6570a1\uff0ca2\u7684\u79efa1•a2\uff0c\u628a\u5e38\u6570\u9879c\u5206\u89e3\u6210\u4e24\u4e2a\u56e0\u6570c1\uff0cc2\u7684\u79efc1•c2\uff0c\u5e76\u4f7fa1c2+a2c1\u6b63\u597d\u662f\u4e00\u6b21\u9879b\uff0c\u90a3\u4e48\u53ef\u4ee5\u76f4\u63a5\u5199\u6210\u7ed3\u679c\uff1aax^2+bx+c=\uff08a1x+c1\uff09\uff08a2x+c2\uff09\uff0e
5\uff0e\uff082016•\u53f0\u6e7e\uff09\u5df2\u77e5\u7532\u3001\u4e59\u3001\u4e19\u5747\u4e3ax\u7684\u4e00\u6b21\u591a\u9879\u5f0f\uff0c\u4e14\u5176\u4e00\u6b21\u9879\u7684\u7cfb\u6570\u7686\u4e3a\u6b63\u6574\u6570\uff0e\u82e5\u7532\u4e0e\u4e59\u76f8\u4e58\u4e3ax2\ufe634\uff0c\u4e59\u4e0e\u4e19\u76f8\u4e58\u4e3ax^2+15x\ufe6334\uff0c\u5219\u7532\u4e0e\u4e19\u76f8\u52a0\u7684\u7ed3\u679c\u4e0e\u4e0b\u5217\u54ea\u4e00\u4e2a\u5f0f\u5b50\u76f8\u540c\uff1f\uff08\u3000\u3000\uff09
A\uff0e2x+19 B\uff0e2x\ufe6319 C\uff0e2x+15 D\uff0e2x\ufe6315
\u3010\u5206\u6790\u3011\u6839\u636e\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u627e\u5230\u4e24\u4e2a\u8fd0\u7b97\u4e2d\u76f8\u540c\u7684\u56e0\u5f0f\uff0c\u5373\u4e3a\u4e59\uff0c\u8fdb\u4e00\u6b65\u786e\u5b9a\u7532\u4e0e\u4e19\uff0c\u518d\u628a\u7532\u4e0e\u4e19\u76f8\u52a0\u5373\u53ef\u6c42\u89e3\uff0e
\u3010\u89e3\u7b54\u3011\u89e3\uff1a\u2235x^2\ufe634=\uff08x+2\uff09\uff08x\ufe632\uff09\uff0c
x^2+15x\ufe6334=\uff08x+17\uff09\uff08x\ufe632\uff09\uff0c
\u2234\u4e59\u4e3ax\ufe632\uff0c
\u2234\u7532\u4e3ax+2\uff0c\u4e19\u4e3ax+17\uff0c
\u2234\u7532\u4e0e\u4e19\u76f8\u52a0\u7684\u7ed3\u679cx+2+x+17=2x+19\uff0e
\u6545\u9009\uff1aA\uff0e
\u3010\u70b9\u8bc4\u3011\u672c\u9898\u8003\u67e5\u4e86\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\uff0c\u8fd0\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\u65f6\uff0c\u8981\u6ce8\u610f\u89c2\u5bdf\uff0c\u5c1d\u8bd5\uff0c\u5e76\u4f53\u4f1a\u5b83\u5b9e\u8d28\u662f\u4e8c\u9879\u5f0f\u4e58\u6cd5\u7684\u9006\u8fc7\u7a0b\uff0c\u672c\u9898\u9700\u8981\u8fdb\u884c\u591a\u6b21\u56e0\u5f0f\u5206\u89e3\uff0c\u5206\u89e3\u56e0\u5f0f\u4e00\u5b9a\u8981\u5f7b\u5e95\uff0e
\u56e0\u5f0f\u5206\u89e3\u5176\u5b9e\u5e76\u4e0d\u5f88\u96be\u638c\u63e1\uff0c\u4e3b\u8981\u662f\u5e73\u65b9\u5dee\u516c\u5f0f\u3001\u7acb\u65b9\u5dee\u516c\u5f0f\u3001\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u3001\u5341\u5b57\u76f8\u4e58\u6cd5\u7b49\uff0c\u638c\u63e1\u597d\u57fa\u672c\u516c\u5f0f\u3001\u5b9a\u7406\u7684\u524d\u63d0\u4e0b\uff0c\u52a0\u5927\u8bad\u7ec3\u91cf\uff0c\u505a\u9898\u591a\u4e86\u81ea\u7136\u4f1a\u719f\u80fd\u751f\u5de7\u3002\u5230\u4e86\u521d\u4e09\uff0c\u56e0\u5f0f\u5206\u89e3\u3001\u4ee3\u6570\u5f0f\u5316\u7b80\u4e4b\u7c7b\u5fc5\u987b\u8981\u638c\u63e1\u4e86\uff0c\u5426\u5219\uff0c\u6570\u5b66\u4e2d\u8003\u4f1a\u5f88\u56f0\u96be\uff0c\u52a0\u5927\u8bad\u7ec3\u5427\uff01
设2X^2-3xy-3y^2=0b^2-4ac=9y^2+24y^2=33y^2
x=3y±√33 y ／4
so ，2X^2-3xy-3y^2=2{x-(3y+√33y/4)}{x-(3y-√33/4)}
绛旓細銆愯В绛斻戣В锛8a^3锕8a^2+2a =2a锛4a^2锕4a+1锛=2a锛2a锕1锛塣2锛庢晠閫夛細C锛庛愮偣璇勩戞棰樹富瑕佽冩煡浜嗘彁鍙栧叕鍥犲紡娉曚互鍙婂叕寮忔硶鍒嗚В鍥犲紡锛岀啛缁冨簲鐢ㄥ畬鍏ㄥ钩鏂瑰叕寮忔槸瑙ｉ鍏抽敭锛4锛庯紙2016•鍙版咕锛夊椤瑰紡77x2锕13x锕30鍙鍥犲紡鍒嗚В鎴愶紙7x+a锛夛紙bx+c锛夛紝鍏朵腑a銆乥銆乧鍧囦负鏁存暟锛屾眰a+b+c涔嬪间负...
绛旓細渚2銆鍒嗚В鍥犲紡a +4ab+4b (2003鍗楅氬競涓冮)瑙ｏ細a +4ab+4b =锛坅+2b锛3銆 鍒嗙粍鍒嗚В娉 瑕佹妸澶氶」寮廰m+an+bm+bn鍒嗚В鍥犲紡锛屽彲浠ュ厛鎶婂畠鍓嶄袱椤瑰垎鎴愪竴缁勶紝骞舵彁鍑哄叕鍥犲紡a锛屾妸瀹冨悗涓ら」鍒嗘垚涓缁勶紝骞舵彁鍑哄叕鍥犲紡b锛屼粠鑰屽緱鍒癮(m+n)+b(m+n),鍙堝彲浠ユ彁鍑哄叕鍥犲紡m+n锛屼粠鑰屽緱鍒(a+b)(m+n)渚3銆...
绛旓細鎶婁竴涓椤瑰紡鍖栨垚鍑犱釜鏁村紡鐨勭Н鐨勫舰寮,杩欑鍙樺舰鍙仛鎶婅繖涓椤瑰紡鍥犲紡鍒嗚В銆傚洜寮忓垎瑙ｇ殑鏂规硶澶氱澶氭牱,鐜版荤粨濡備笅: 1銆 鎻愬叕鍥犳硶 濡傛灉涓涓椤瑰紡鐨勫悇椤归兘鍚湁鍏洜寮,閭ｄ箞灏卞彲浠ユ妸杩欎釜鍏洜寮忔彁鍑烘潵,浠庤屽皢澶氶」寮忓寲鎴愪袱涓洜寮忎箻绉殑褰㈠紡銆 渚1銆 鍒嗚В鍥犲紡x -2x -x(2003娣畨甯涓冮) x -2x -x=x(x -2x-1) 2...
绛旓細瑙:(鈭3x-鈭3)脳(鈭3x-鈭3)=鈭3(x-1)脳 鈭3(x-1)=3(x-1)²=3(x²-2x锛1)=3x²-6x锛3 杩愮敤鍥犲紡鍒嗚В閫嗚繍绠 璇峰弬鑰 鍥犲紡鍒嗚В鍦涓涓崰鎹簡寰堝ぇ鐨勬瘮渚嬶紝鍥犲紡鍒嗚В甯稿父绌挎彃鍦ㄧ患鍚堥閲岋紝鐒惰屽湪鍒濅腑鐨勬暟瀛︽暀鏉愪腑涓昏浠嬬粛浜嗘彁鍏洜寮忔硶銆佸叕寮忔硶銆佸崄瀛楃浉涔樻硶锛堝垵涓夋暀鏉愭湁璇︾粏...
绛旓細渚1銆 鍒嗚В鍥犲紡x -2x -x(2003娣畨甯涓棰)x -2x -x=x(x -2x-1)2銆 搴旂敤鍏紡娉 鐢变簬鍒嗚В鍥犲紡涓庢暣寮忎箻娉曟湁鐫浜掗嗙殑鍏崇郴锛屽鏋滄妸涔樻硶鍏紡鍙嶈繃鏉ワ紝閭ｄ箞灏卞彲浠ョ敤鏉ユ妸鏌愪簺澶氶」寮忓垎瑙ｅ洜寮忋備緥2銆佸垎瑙ｅ洜寮廰 +4ab+4b (2003鍗楅氬競涓冮)瑙ｏ細a +4ab+4b =锛坅+2b锛3銆 鍒嗙粍鍒嗚В娉 瑕佹妸澶氶」寮廰m...
绛旓細鍙屽崄瀛楃浉涔樻硶灏辨槸浜屽厓浜屾鍏」寮,鍚鐨勫紡瀛愬涓: ax^2+bxy+cy^2+dx+ey+f x銆亂涓烘湭鐭ユ暟,鍏朵綑閮芥槸甯告暟 鐢ㄤ竴閬渚嬮鏉ヨ鏄庡浣曚娇鐢ㄣ 渚:鍒嗚В鍥犲紡:x^2+5xy+6y^2+8x+18y+12. 鍒嗘瀽:杩欐槸涓涓簩娆″叚椤瑰紡,鍙冭檻浣跨敤鍙屽崄瀛楃浉涔樻硶杩涜鍥犲紡鍒嗚В銆 瑙:鍥惧涓,鎶婃墍鏈夌殑鏁板瓧浜ゅ弶鐩歌繛鍗冲彲 x 2y 2 鈶犫憽鈶 ...
绛旓細銆傚椤瑰紡涓殑姣忎釜鍗曢」寮忓彨鍋氬椤瑰紡鐨勯」锛岃繖浜涘崟椤瑰紡涓殑鏈楂橀」娆℃暟锛屽氨鏄繖涓椤瑰紡鐨勬鏁般傚叾涓椤瑰紡涓笉鍚瓧姣嶇殑椤瑰彨鍋氬父鏁伴」銆2銆佹妸涓涓椤瑰紡鍦ㄤ竴涓寖鍥(濡傚疄鏁拌寖鍥村唴鍒嗚В锛屽嵆鎵鏈夐」鍧囦负瀹炴暟)鍖栦负鍑犱釜鏁村紡鐨勭Н鐨勫舰寮忥紝杩欑寮忓瓙鍙樺舰鍙仛杩欎釜澶氶」寮忕殑鍥犲紡鍒嗚В锛屼篃鍙綔鎶婅繖涓椤瑰紡鍒嗚В鍥犲紡銆
绛旓細璺眰鍏充簬鍒濅腑鍥犲紡鍒嗚В鐨棰樼洰(绫诲瀷杩涙潵鐪) 1銆佸叕寮忓瀷(璇翠竴涓嬪叕寮忓瀷鐨勪娇鐢ㄦ柟娉,涓嶆槸棰樼洰绛旀)2銆佸垎缁勫垎瑙ｅ瀷(鍚屼笂)3銆侀厤鏂规硶鐨勯鐩(鍚屼笂)4銆佸緟瀹氱郴鏁版硶鐨勯鐩(鍚屼笂)5銆佸叾浠(鍚屼笂)鍙﹀璇锋暀鎴戜竴涓嬪崄瀛楃浉涔樻硶鍜屽弻鍗佸瓧鐩镐箻... 1銆佸叕寮忓瀷(璇翠竴涓嬪叕寮忓瀷鐨勪娇鐢ㄦ柟娉,涓嶆槸棰樼洰绛旀)2銆佸垎缁勫垎瑙ｅ瀷(鍚屼笂)3銆侀厤鏂规硶鐨...
绛旓細鍒濅腑鏁板鑰冭瘯褰撶劧浼氳鍥犲紡鍒嗚В浜嗭紝杩欐槸鍒濅腑杈冧负閲嶈鐨勪竴绔犲唴瀹癸紝涓蹇呰冩棤鐤戙傚洜寮忓垎瑙ｇ殑鏁村紡閮ㄥ垎涓昏鑰冩煡骞傜殑鎬ц川銆佹暣寮忕殑鏈夊叧璁＄畻銆佷箻娉曞叕寮忕殑杩愮敤锛屽浠ラ夋嫨棰樸佸～绌洪鐨勫舰寮忓嚭鐜般傝屽洜寮忓垎瑙ｆ槸涓冨繀鑰冨唴瀹癸紝棰樺瀷澶氫互閫夋嫨棰樺拰濉┖棰樹负涓伙紝涔熷父甯告笚閫忓湪涓鍏冧簩娆℃柟绋嬪拰鍒嗗紡鐨勫寲绠涓繘琛岃冩煡銆2020涓...
