初一数学多项式难题 求几道初一数学的多项式乘多项式的难题。。。急。。。。不要答案...
\u521d\u4e00\u6570\u5b66\u4e0b\uff08\u591a\u9879\u5f0f\u96be\u9898\uff092\u9898\u5148\u5316\u7b80\uff0c\u5728\u6c42\u503c\u591a\u9879\u5f0f\u5316\u7b80\u6c42\u503c\u7684\u65b9\u6cd5\u662f\uff1a\u5148\u5316\u7b80\uff0c\u518d\u6c42\u503c\u3002\u591a\u9879\u5f0f\u5316\u7b80\u6d89\u53ca\u8f83\u591a\u7684\u662f\u6574\u5f0f\u7684\u52a0\u51cf\uff1a\u5176\u5b9e\u8d28\u662f\u53bb\u62ec\u53f7\u548c\u5408\u5e76\u540c\u7c7b\u9879\uff0c\u5176\u4e00\u822c\u6b65\u9aa4\u4e3a\uff1a\uff081\uff09\u5982\u679c\u6709\u62ec\u53f7\uff0c\u90a3\u4e48\u5148\u53bb\u62ec\u53f7\uff1b\uff082\uff09\u5982\u679c\u6709\u540c\u7c7b\u9879\uff0c\u518d\u5408\u5e76\u540c\u7c7b\u9879\u3002\u6ce8\uff1a\u6574\u5f0f\u52a0\u51cf\u7684\u6700\u540e\u7ed3\u679c\u4e2d\u4e0d\u80fd\u542b\u6709\u540c\u7c7b\u9879\uff0c\u5373\u8981\u5408\u5e76\u5230\u4e0d\u80fd\u518d\u5408\u5e76\u4e3a\u6b62\u3002\u6574\u5f0f\u7684\u52a0\u51cf\u5373\u5408\u5e76\u540c\u7c7b\u9879\u3002\u628a\u540c\u7c7b\u9879\u76f8\u52a0\u51cf\uff0c\u4e0d\u80fd\u8ba1\u7b97\u7684\u5c31\u76f4\u63a5\u62c9\u4e0b\u6765\u3002\u5408\u5e76\u540c\u7c7b\u9879\u65f6\u8981\u6ce8\u610f\u4ee5\u4e0b\u4e09\u70b9\uff1a \u2460\u8981\u638c\u63e1\u540c\u7c7b\u9879\u7684\u6982\u5ff5\uff0c\u4f1a\u8fa8\u522b\u540c\u7c7b\u9879\uff0c\u5e76\u51c6\u786e\u5730\u638c\u63e1\u5224\u65ad\u540c\u7c7b\u9879\u7684\u4e24\u6761\u6807\u51c6.\u5b57\u6bcd\u548c\u5b57\u6bcd\u6307\u6570\uff1b \u2461\u660e\u786e\u5408\u5e76\u540c\u7c7b\u9879\u7684\u542b\u4e49\u662f\u628a\u591a\u9879\u5f0f\u4e2d\u7684\u540c\u7c7b\u9879\u5408\u5e76\u6210\u4e00\u9879\uff0c\u7ecf\u8fc7\u5408\u5e76\u540c\u7c7b\u9879\uff0c\u5f0f\u7684\u9879\u6570\u4f1a\u51cf\u5c11\uff0c\u8fbe\u5230\u5316\u7b80\u591a\u9879\u5f0f\u7684\u76ee\u7684\uff1b \u2462\u201c\u5408\u5e76\u201d\u662f\u6307\u540c\u7c7b\u9879\u7684\u7cfb\u6570\u7684\u76f8\u52a0\uff0c\u5e76\u628a\u5f97\u5230\u7684\u7ed3\u679c\u4f5c\u4e3a\u65b0\u7684\u7cfb\u6570\uff0c\u8981\u4fdd\u6301\u540c\u7c7b\u9879\u7684\u5b57\u6bcd\u548c\u5b57\u6bcd\u7684\u6307\u6570\u4e0d\u53d8\u3002
1.\u6c4271999\u00d732001\u7684\u672b\u4f4d\u6570\u5b57\uff0e
71999\u00d732001\uff1d71999\u00d731999\u00d732\uff1d211999\u00d79\uff0e
\u4e0d\u8bba\u591a\u5c111\u7684\u4e58\u79ef\uff0c\u5176\u7ed3\u679c\u4ecd\u7136\u662f1\uff0c\u6240\u4ee571999\u00d732001\u7684\u672b\u4f4d\u6570\u5b57\u662f9\uff0e
2.a\u3001b\u3001c\u53d6\u4ec0\u4e48\u6570\u503c\u65f6\uff0cx3-ax2+bx+c\u7a0b(x-1)(x-2)(x-3)\u6052\u7b49\uff1f
a=6, b=11, c=-6\uff1b
3.\u9605\u8bfb\u6750\u6599\uff0c\u5927\u6570\u5b66\u5bb6\u9ad8\u65af\u5728\u4e0a\u5b66\u8bfb\u4e66\u65f6
\u66fe\u7ecf\u7814\u7a76\u8fc7\u8fd9\u6837\u4e00\u4e2a\u95ee\u9898\uff1a1+2+3+\u2026+100\uff1d\uff1f\u7ecf\u8fc7\u7814\u7a76\uff0c\u8fd9\u4e2a\u95ee\u9898\u7684\u4e00\u822c\u6027\u7ed3\u8bba\u662f1+2+3+\u2026+n=1/2 x n(n+1)\uff0c\u5176\u4e2dn\u662f\u6b63\u6574\u6570\u3002\u73b0\u5728\u6211\u4eec\u6765\u7814\u7a76\u4e00\u4e2a\u7c7b\u4f3c\u7684\u95ee\u9898\uff1a1\u00d72+2\u00d73+\u2026n(n+1)\uff1d\uff1f
\u3000\u3000\u89c2\u5bdf\u4e0b\u9762\u4e09\u4e2a\u7279\u6b8a\u7684\u7b49\u5f0f
1x2=1/3 (1x2x3 - 0x1x2)
2x3=1/3 (2x3x4 - 1x2x3)
3x4=1/3 (3x4x5 - 2x3x4)
\u5c06\u8fd9\u4e09\u4e2a\u7b49\u5f0f\u7684\u4e24\u8fb9\u76f8\u52a0\uff0c\u53ef\u4ee5\u5f97\u52301\u00d72+2\u00d73+3\u00d74\uff1d1/3 x3x4x5=20\u8bfb\u5b8c\u8fd9\u6bb5\u6750\u6599\uff0c\u8bf7\u4f60\u601d\u8003\u540e\u56de\u7b54\uff1a
1x2+2x3+3x4+........+100x101=
1x2+2x3+3x4+........+n(n+1)=
1x2x3+2x3x4+.........+n(n+1)(n+2)=
\u89e3\uff1a\u2474343400
(2) 1/3 n(n+1)(n+2)
(3) 1/4(n+1)(n+2)(n+3)
4.\u5316\u7b80\u6c42\u503c\uff1a\u5df2\u77e5x\u3001y\u6ee1\u8db3\uff1ax^2+y^2 -4x+6y+13=0
\u6c42\u4ee3\u6570\u5f0f(x+3y)^2 -3(3x-y)(x+y) - (x-3y)(x+3y)\u7684\u503c.
\u89e3\uff1a\u539f\u5f0f=9x2+6xy+y2-3(3x2+3xy-xy-y2)-(x2-9y2)
=9x2+6xy+y2-9x2-6xy+3y2-x2+9y2
=-x2+13y2
\u2235x2+y2-4x+6y+13
\u2234(x-2)2+(y+3)2=0
\u2234x=2,y=-3 .
\u5f53x=2,y=-3\u65f6
\u539f\u5f0f=-4+13\u00d79=113
\u5982\u56fe\uff0c\u5df2\u77e5\u629b\u7269\u7ebfC1\uff1a\u7684\u9876\u70b9\u4e3aP\uff0c\u4e0ex\u8f74\u76f8\u4ea4\u4e8eA\u3001B\u4e24\u70b9\uff08\u70b9A\u5728\u70b9B\u7684\u5de6\u8fb9\uff09\uff0c\u70b9B\u7684\u6a2a\u5750\u6807\u662f1\uff0e
\uff081\uff09\u6c42P\u70b9\u5750\u6807\u53caa\u7684\u503c\uff1b
\uff082\uff09\u5982\u56fe\uff081\uff09\uff0c\u629b\u7269\u7ebfC2\u4e0e\u629b\u7269\u7ebfC1\u5173\u4e8ex\u8f74\u5bf9\u79f0\uff0c\u5c06\u629b\u7269\u7ebfC2\u5411\u53f3\u5e73\u79fb\uff0c\u5e73\u79fb\u540e\u7684\u629b\u7269\u7ebf\u8bb0\u4e3aC3\uff0cC3\u7684\u9876\u70b9\u4e3aM\uff0c\u5f53\u70b9P\u3001M\u5173\u4e8e\u70b9B\u6210\u4e2d\u5fc3\u5bf9\u79f0\u65f6\uff0c\u6c42C3\u7684\u89e3\u6790\u5f0f\uff1b
\uff083\uff09\u5982\u56fe\uff082\uff09\uff0c\u70b9Q\u662fx\u8f74\u6b63\u534a\u8f74\u4e0a\u4e00\u70b9\uff0c\u5c06\u629b\u7269\u7ebfC1\u7ed5\u70b9Q\u65cb\u8f6c180\u00b0\u540e\u5f97\u5230\u629b\u7269\u7ebfC4\uff0e\u629b\u7269\u7ebfC4\u7684\u9876\u70b9\u4e3aN\uff0c\u4e0ex\u8f74\u76f8\u4ea4\u4e8eE\u3001F\u4e24\u70b9\uff08\u70b9E\u5728\u70b9F\u7684\u5de6\u8fb9\uff09\uff0c\u5f53\u4ee5\u70b9P\u3001N\u3001F\u4e3a\u9876\u70b9\u7684\u4e09\u89d2\u5f62\u662f\u76f4\u89d2\u4e09\u89d2\u5f62\u65f6\uff0c\u6c42\u70b9Q\u7684\u5750\u6807\uff0e
2.∵是关于x的二次二项式∴最高次项为3x^m∴m=2，-(n-1)x=0∴n=1
3.∵是六次四项式∴最高次项为y^(m+2)∴m+2=6∴m=4（四项这个条件对解题没有影响，因为-（5/6)x^2和xy^2这两项可以合并）
绛旓細杩欎釜澶氶」寮鏄10娆11椤瑰紡 3銆佸綋x=2锛寉=锛4鏃讹紝澶氶」寮廰x³锛(1/2)by锛5鐨勫兼槸2011锛屽垯锛8a锛2b锛5=2011锛屽垯锛8a锛2b=2006锛4a锛峛=1003 褰搙=锛4锛寉=锛1/2鏃讹紝3ax锛24by³锛4009=锛12a锛3b锛4009=锛3(4a锛峛)锛4009=锛3009锛4009=1000 ...
绛旓細瑙ｏ細1.鍏堝悎骞鍚岀被椤锛屽緱锛氾紙m-4锛墄³+3x²+(3-n)x.瑕佷娇涓嶅惈涓夋椤瑰強涓娆￠」锛屸埓m-4=0 3-n=0锛屸埓m=4 n=3 2.鈭垫槸鍏充簬x鐨勪簩娆′簩椤瑰紡鈭存渶楂樻椤逛负3x^m鈭磎=2锛-(n-1)x=0鈭磏=1 3.鈭垫槸鍏鍥涢」寮忊埓鏈楂樻椤逛负y^(m+2)鈭磎+2=6鈭磎=4锛堝洓椤硅繖涓潯浠跺瑙ｉ娌℃湁...
绛旓細1銆佷笁娆′簩椤瑰紡锛岃鏄庣涓椤逛负3娆￠」锛岀浜岄」蹇呬负0銆傚洜姝锛3锛孨锛-5銆傦紙M+N锛壜癕锛濓紙3-5锛壜3锛-2掳3锛-8 2銆佸叚娆″洓椤瑰紡锛岃鏄庢渶楂樻椤圭殑娆℃暟鍜屼负6锛屽嵆2+锛圡+2锛夛紳6锛孧锛2銆傚張鍗曢」寮2X掳锛3N锛塝掳锛5鈥擬锛塟涔熸槸6娆￠」锛屾墍浠 锛3N锛+锛5-M锛+1锛6 3N+锛5-2锛+1锛6 ...
绛旓細澶氶」寮鍖栫畝姹傚肩殑鏂规硶鏄細鍏堝寲绠锛屽啀姹傚笺傚椤瑰紡鍖栫畝娑夊強杈冨鐨勬槸鏁村紡鐨勫姞鍑忥細鍏跺疄璐ㄦ槸鍘绘嫭鍙峰拰鍚堝苟鍚岀被椤锛屽叾涓鑸楠や负锛氾紙1锛夊鏋滄湁鎷彿锛岄偅涔堝厛鍘绘嫭鍙凤紱锛2锛夊鏋滄湁鍚岀被椤癸紝鍐嶅悎骞跺悓绫婚」銆傛敞锛氭暣寮忓姞鍑忕殑鏈鍚庣粨鏋滀腑涓嶈兘鍚湁鍚岀被椤癸紝鍗宠鍚堝苟鍒颁笉鑳藉啀鍚堝苟涓烘銆傛暣寮忕殑鍔犲噺鍗冲悎骞跺悓绫婚」銆傛妸鍚岀被椤圭浉鍔犲噺锛...
绛旓細2/5x-6y^3鐨勬鏁版槸3锛4a^b^2-4ab+b^2鐨勯」涓庢鏁版槸3锛泋^3+2y-x鐨勯」涓庢鏁版槸3锛-3x-x^2y+2鍏鐨勯」涓庢鏁版槸3 m^3-2m^2n^2+3n^2鐨勯」涓庢鏁版槸4锛涜閲囩撼 濡傛灉浣犺鍙垜鐨勫洖绛旓紝鏁鍙婃椂閲囩撼锛寏濡傛灉浣犺鍙垜鐨勫洖绛旓紝璇峰強鏃剁偣鍑汇愰噰绾充负婊℃剰鍥炵瓟銆戞寜閽 ~~鎵嬫満鎻愰棶鐨勬湅鍙嬪湪瀹㈡埛绔彸涓婅...
绛旓細1锛沵=4,n=-3\鍥犱负璇ュ紡涓轰笁娆′笁椤瑰紡锛屽垯鏈0.2鐨刴-1娆″彲浠ユ垚涓轰笁娆￠」m=4锛涘彟澶栧彧鏈-锛坣+3锛夐」涓嶇‘瀹氭槸姝ｆ槸璐熻繕鏄浂鏁呭彧鏈夊綋n=-3鏃惰寮忔墠鑳戒负涓夋涓夐」寮忥紱2锛涚瓟妗堜负锛歮=1銆乶=3锛(m=1)鐨刵娆=8锛涘洜涓轰笁娆′笁椤瑰紡鏁(m-1)x寰4娆′笉鑳藉瓨鍦紝鏁卪=1锛涘墿涓嬩笁椤逛腑鍙湁-x鐨刵娆″彲鑳...
绛旓細鍏充簬澶氶」寮鐨鍒濅竴鏁板棰橈紝鎬!!鎮祻鍒嗭細50 - 绂婚棶棰樼粨鏉熻繕鏈 17 澶 23 灏忔椂 1锛塵=___鏃讹紝澶氶」寮徬^4-mx^3m y+m^2 x^2涓哄叧浜巟銆亂鐨勫洓娆″椤瑰紡.蟺^4,0娆 -mx^3m y,3m+1娆 +m^2 x^2,2娆,鎵浠3m+1=4 m=1 2锛夊凡鐭ュ椤瑰紡-2/1a^2 b^m+1 +ab^2 -1鏄竴涓叚娆″椤瑰紡锛-2...
绛旓細瑙ｇ瓟濡備笅锛氳杩欏揩姝ｆ柟琛岀豢鍦扮幇鍦ㄧ殑杈归暱涓篨绫 X*X锛3*锛圶锛2锛*锛圶锛2锛塜*X锛3*锛圶*X锛4锛塜*X锛6 鎵浠ラ潰绉氨鏄6浜
绛旓細(1锛塧=-4,b=2锛屾渶鍚庣殑鍜屼负-5xy (2)a=5,b=1,鏈鍚庣殑鍜屼负4xy²
