初二整式的除法以及因式分解难题
\u521d\u4e8c\u56e0\u5f0f\u5206\u89e3\u96be\u98981/x(x+1)+1/(x+1)(x+2\uff09+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
(x+2+x)/x+(x+1)+(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
2(x+1)/x(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
2/x(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
[2(x+3)+x]/x(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
3(x+2)/x(x+2)(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
3/x(x+3)+1/(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
[3(x+4)+x]/x(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
4(x+3)/x(x+3)(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
4/x(x+4)+1/(x+4)(x+5)=5/(x²+11x-708)
[4(x+5)+x]/x(x+4)(x+5)=5/(x²+11x-708)
5(x+4)/x(x+4)(x+5)=5/(x²+11x-708)
5/x(x+5)=5/(x²+11x-708)
x(x+5)=x²+11x-708
x²+5x=x²+11x-708
6x=708
x=118
\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60\u9898
140\uff0em2(p-q)-p+q
141\uff0e(2m+3n)(2m-n)-4n(2m-n)\uff0e
142\uff0e(x+2y)2-x2-2xy\uff0e
143\uff0ea(ab+bc+ac)-abc\uff0e
144\uff0eab-a-b+1\uff0e
145\uff0exyz-xy-xz+x-yz+y+z-1\uff0e
146\uff0ex4-2y4-2x3y+xy3\uff0e
148\uff0eabc(a2+b2+c2)-a3bc+2ab2c2\uff0e
149\uff0e(a-b-c)(a+b-c)-(b-c-a)(b+c-a)\uff0e
150\uff0ea2(b-c)+b2(c-a)+c2(a-b)\uff0e
a(a+b)(a-b)-a(a+b)2\uff0e
152\uff0e(x2-2x)2+2x(x-2)+1\uff0e
153\uff0e2acd-c2a-ad2\uff0e
154\uff0e(x-y)2+12(y-x)z+36z2\uff0e
156\uff0ex2-4ax+8ab-4b2\uff0e
157\uff0ea2b2+c2d2-2abcd+2ab-2cd+1\uff0e
158\uff0e(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx)\uff0e
160\uff0e(1-a2)(1-b2)-(a2-1)2(b2-1)2\uff0e
161\uff0e3x4-48y4\uff0e
162\uff0e(x+1)2-9(x-1)2\uff0e
163\uff0e(x2+pq)2-(p+q)2x2\uff0e
164\uff0e(1+2xy)2-(x2+y2)2\uff0e
165\uff0e4a2b2-(a2+b2)2\uff0e
166\uff0e4a2b2-(a2+b2-c2)2\uff0e
167\uff0e(c2-a2-b2)2-4a2b2\uff0e
168\uff0e(x2-b2+y2-a2)2-4(ab-xy)2\uff0e
169\uff0e64a4(x+1)2-49b4(x+1)4\uff0e
170\uff0eab2-ac2+4ac-4a\uff0e
171\uff0e4a2-c2+6ab+3bc\uff0e
172\uff0ex3n+y3n\uff0e
174\uff0e(x+y)3+125\uff0e
176\uff0e(m-n)6-(m+n)6\uff0e
177\uff0e(x+1)6-(x-1)6\uff0e
178\uff0ea12-b12\uff0e
179\uff0e(z-x)3-(y+z)3\uff0e
180\uff0e(3m-2n)3+(3m+2n)3\uff0e
181\uff0ex6(x2-y2)+y6(y2-x2)\uff0e
182\uff0e8(x+y)3+1\uff0e
183\uff0e(a-1)3-(b+1)3\uff0e
184\uff0e(a+b+c)3-a3-b3-c3\uff0e
185\uff0ex2+4xy+3y2\uff0e
186\uff0ex2y2-18xy+65\uff0e
187\uff0ex2+18x-144\uff0e
188\uff0ex2+30x+144\uff0e
189\uff0ex4+2x2-8\uff0e
190\uff0e3x4+6x2-9\uff0e
191\uff0e-m4+18m2-17\uff0e
192\uff0e3x4-7x2y2-20y4\uff0e
193\uff0ex5-2x3-8x\uff0e
194\uff0ea3-5a2b-300ab2\uff0e
195\uff0ex8+19x5-216x2\uff0e
196\uff0e6a4n+k-a2n+k-35ak\uff0e
199\uff0e30x2+8xy-182y2\uff0e
200\uff0em4+14m2-15\uff0e
140\uff0e\uff08p-q\uff09\uff08m-1\uff09\uff08m+1\uff09\uff0e
141\uff0e\uff082m-n\uff092\uff0e
142\uff0e2y\uff08x+2y\uff09\uff0e
143\uff0ea2\uff08b+c\uff09\uff0e
144\uff0e\uff08b-1\uff09\uff08a-1\uff09\uff0e
145\uff0e\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
\u63d0\u793a\uff1a\u65b9\u6cd5\u4e00 \u539f\u5f0f=x\uff08yz-y-z+1\uff09-\uff08yz-y-z+1\uff09
=\uff08yz-y-z+1\uff09\uff08x-1\uff09
=[y\uff08z-1\uff09-\uff08z-1\uff09]\uff08x-1\uff09
=\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
\u65b9\u6cd5\u4e8c \u539f\u5f0f=xy\uff08z-1\uff09-x\uff08z-1\uff09-y\uff08z-1\uff09+\uff08z-1\uff09
=\uff08xy-x-y+1\uff09\uff08z-1\uff09
=[x\uff08y-1\uff09-\uff08y-1\uff09]\uff08z-1\uff09
=\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
146\uff0e\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
\u63d0\u793a\uff1a\u65b9\u6cd5\u4e00 \u539f\u5f0f=x\uff08x3+y3\uff09-2y\uff08x3+y3\uff09
=\uff08x3+y3\uff09\uff08x-2y\uff09
=\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
\u65b9\u6cd5\u4e8c \u539f\u5f0f=x3\uff08x-2y\uff09+y3\uff08x-2y\uff09
=\uff08x-2y\uff09\uff08x3+y3\uff09
=\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
148\uff0eabc\uff08b+c\uff092\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=abc\uff08a2+b2+c2-a2+2bc\uff09\uff0e
149\uff0e2\uff08b-c\uff09\uff08a-b-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a-b-c\uff09\uff08a+b-c\uff09+\uff08a-b-c\uff09\uff08b-c-a\uff09
=\uff08a-b-c\uff09[\uff08a+b-c\uff09+\uff08b-c-a\uff09]
=2\uff08b-c\uff09\uff08a-b-c\uff09\uff0e
150\uff0e\uff08a-b\uff09\uff08b-c\uff09\uff08a-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a2b-a2c+b2c-ab2+c2\uff08a-b\uff09
=\uff08a2b-ab2\uff09-\uff08a2c-b2c\uff09+c2\uff08a-b\uff09
=ab\uff08a-b\uff09-c\uff08a2-b2\uff09+c2\uff08a-b\uff09
=\uff08a-b\uff09[ab-c\uff08a+b\uff09+c2]
=\uff08a-b\uff09[a\uff08b-c\uff09-c\uff08b-c\uff09]
=\uff08a-b\uff09\uff08b-c\uff09\uff08a-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a\uff08a+b\uff09[a-b-\uff08a+b\uff09]=a\uff08a+b\uff09\uff08-2b\uff09
=-2ab\uff08a+b\uff09\uff1b
152\uff0e\uff08x-1\uff094\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[x\uff08x-2\uff09]2+2•x\uff08x-2\uff09+12
=[x\uff08x-2\uff09+1]2=\uff08x2-2x+1\uff092
=\uff08x-1\uff094\uff0e
153\uff0e-a\uff08c-d\uff092\uff0e
154\uff0e\uff08x-y-6z\uff092\uff0e
156\uff0e\uff08x-2b\uff09\uff08x-4a+2b\uff09\uff0e
157\uff0e\uff08ab-cd+1\uff092\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a2b2-2abcd+c2d2\uff09+2\uff08ab-cd\uff09+1
=\uff08ab-cd\uff092+2\uff08ab-cd\uff09+1
=\uff08ab-cd+1\uff092\uff0e
158\uff0e\uff08ax+by+ay-bx\uff092\uff0e
160\uff0e\uff081+a\uff09\uff081-a\uff09\uff081+b\uff09\uff081-b\uff09\uff08a2+b2-a2b2\uff09\uff0e
161\uff0e3\uff08x2+4y2\uff09\uff08x+2y\uff09\uff08x-2y\uff09\uff0e
162\uff0e4\uff082x-1\uff09\uff082-x\uff09\uff0e
163\uff0e\uff08x2+px+qx+pq\uff09\uff08x2-px-qx+pq\uff09\uff0e
164\uff0e\uff081+x-y\uff09\uff081-x+y\uff09\uff08x2+y2+2xy+1\uff09\uff0e
165\uff0e-\uff08a+b\uff092\uff08a-b\uff092\uff0e
166\uff0e\uff08a+b+c\uff09\uff08a+b-c\uff09\uff08c+a-b\uff09\uff08c-a+b\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff082ab+a2+b2-c2\uff09\uff082ab-a2-b2+c2\uff09
=[\uff08a+b\uff092-c2][c2-\uff08a-b\uff092]
=\uff08a+b+c\uff09\uff08a+b-c\uff09\uff08c+a-b\uff09\uff08c-a+b\uff09\uff0e
167\uff0e\uff08c+a-b\uff09\uff08c-a+b\uff09\uff08c+a+b\uff09\uff08c-a-b\uff09\uff0e
168\uff0e\uff08x+y+a+b\uff09\uff08x+y-a-b\uff09\uff08x-y+a-b\uff09\uff08x-y-a+b\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08x2-b2+y2-a2+2ab-2xy\uff09\uff08x2-b2+y2-a2-2ab+2xy\uff09
=[\uff08x2-2xy+y2\uff09-\uff08a2-2ab+b2\uff09][\uff08x2+2xy+y2\uff09
-\uff08a2+2ab+b2\uff09]
=[\uff08x-y\uff092-\uff08a-b\uff092][\uff08x+y\uff092-\uff08a+b\uff092]
=\uff08x-y+a-b\uff09\uff08x-y-a+b\uff09\uff08x+y+a+b\uff09\uff08x+y-a-b\uff09\uff0e
169\uff0e\uff08x+1\uff092\uff088a2+7b2x+7b2\uff09\uff088a2-7b2x-7b2\uff09\uff0e
170\uff0ea\uff08b-c+2\uff09\uff08b+c-2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a\uff08b2-c2+4c-4\uff09
=a\uff08b2-c2+2b-2b+2c+2c-4\uff09
=a[\uff08b-c\uff09\uff08b+c\uff09-2\uff08b-c\uff09+2\uff08b+c\uff09-4]
=a[\uff08b-c\uff09+2][\uff08b+c\uff09-2]\uff0e
171\uff0e\uff082a+c\uff09\uff082a-c+3b\uff09\uff0e
172\uff0e\uff08xn+yn\uff09\uff08x2n-xnyn+y2n\uff09\uff0e
174\uff0e\uff08x+y+5\uff09\uff08x2+2xy+y2-5x-5y+25\uff09\uff0e
176\uff0e-4mn\uff083n2+m2\uff09\uff083m2+n2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08m-n\uff093]2-[\uff08m+n\uff093]2
=[\uff08m-n\uff093+\uff08m+n\uff093][\uff08m-n\uff093-\uff08m+n\uff093]
=2m[\uff08m-n\uff092-\uff08m-n\uff09\uff08m+n\uff09\uff08m+n\uff092]
\u00d7{-2n[\uff08m-n\uff092+\uff08m-n\uff09\uff08m+n\uff09+\uff08m+n\uff092]}
=-4mn\uff08m2+3n2\uff09\uff083m2+n2\uff09\uff0e
177\uff0e4x\uff08x2+3\uff09\uff083x2+1\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08x+1\uff093]2-[\uff08x-1\uff093]2
=[\uff08x+1\uff093+\uff08x-1\uff093][\uff08x+1\uff093-\uff08x-1\uff093]
=2x[\uff08x+1\uff092-\uff08x+1\uff09\uff08x-1\uff09+\uff08x-1\uff092]
\u00d72[\uff08x+1\uff092+\uff08x+1\uff09\uff08x-1\uff09+\uff08x-1\uff092]
=4x\uff08x2+3\uff09\uff083x2+1\uff09\uff0e
178\uff0e\uff08a-b\uff09\uff08a+b\uff09\uff08a2+b2\uff09\uff08a2+ab+b2\uff09\uff08a2-ab+b2\uff09\uff08a4-a2b2+b4\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a6\uff092-\uff08b6\uff092=\uff08a6+b6\uff09\uff08a6-b6\uff09
=[\uff08a2\uff093+\uff08b2\uff093][\uff08a3\uff092-\uff08b3\uff092]
=\uff08a2+b2\uff09\uff08a4-a2b2+b4\uff09\uff08a3+b3\uff09\uff08a3-b3\uff09\uff0e
179\uff0e-\uff08x+y\uff09\uff08x2+y2+3z2-xy+3yz-3xz\uff09\uff0e
180\uff0e18m\uff083m2+4n2\uff09\uff0e
181\uff0e\uff08x+y\uff092\uff08x-y\uff092\uff08x2-xy+y2\uff09\uff08x2+xy+y2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08x2-y2\uff09\uff08x6-y6\uff09
=\uff08x+y\uff09\uff08x-y\uff09\uff08x3+y3\uff09\uff08x3-y3\uff09\uff0e
182\uff0e\uff082x+2y+1\uff09\uff084x2+8xy+4y2-2x-2y+1\uff09\uff0e
183\uff0e\uff08a-b-2\uff09\uff08a2+ab+b2-a+b+1\uff09\uff0e
184\uff0e3\uff08b+c\uff09\uff08a+b\uff09\uff08c+a\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08a+b+c\uff093-a3]-\uff08b3+c3\uff09\uff0e
185\uff0e\uff08x+3y\uff09\uff08x+y\uff09\uff0e
186\uff0e\uff08xy-13\uff09\uff08xy-5\uff09\uff0e
187\uff0e\uff08x-6\uff09\uff08x+24\uff09\uff0e
188\uff0e\uff08x+6\uff09\uff08x+24\uff09\uff0e
189\uff0e\uff08x2-2\uff09\uff08x2+4\uff09\uff0e
190\uff0e3\uff08x2+3\uff09\uff08x+1\uff09\uff08x-1\uff09\uff0e
191\uff0e\uff08m2-17\uff09\uff081+m\uff09\uff081-m\uff09\uff0e
192\uff0e\uff083x2+5y2\uff09\uff08x+2y\uff09\uff08x-2y\uff09\uff0e
193\uff0ex\uff08x+2\uff09\uff08x-2\uff09\uff08x2+2\uff09\uff0e
194\uff0ea\uff08a-20b\uff09\uff08a+15b\uff09\uff0e
195\uff0ex2\uff08x+3\uff09\uff08x2-3x+9\uff09\uff08x-2\uff09\uff08x2+2x+4\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=x2\uff08x6+19x3-216\uff09
=x2\uff08x3+27\uff09\uff08x3-8\uff09
=x3\uff08x+3\uff09\uff08x2-3x+9\uff09\uff08x-2\uff09\uff08x2+2x+4\uff09\uff0e
196\uff0eak\uff082a2n-5\uff09\uff083a2n+7\uff09\uff0e
199\uff0e2\uff083x-7y\uff09\uff085x+13y\uff09\uff0e
200\uff0e\uff08m2+15\uff09\uff08m+1\uff09\uff08m-1\uff09\uff0e
两边除以x可得
x-3+1/x=0
x+1/x=3
两边平方得
x²+1/x²=9-2=7
2.
因为任何数的绝对值非负，平方非负
所以ab-2=0,b-1=0
所以
b=1，a=2
所以
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+......+1/(a+2008)(b+2008)
=
1/1*2+1/2*3+......+1/2009*2010
=1-1/2+1/2-1/3+...+1/2009-1/2010
=1-1/2010
=2009/2010
绛旓細5.=ab-(a-b)-1=3-5-1=-2
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绛旓細棰樼洰鏈夐棶棰橈紝鎴戞敼杩囦簡锛屼綘鐪嬪涓嶅 a+b=2 a骞虫柟-b骞虫柟-4b =(a+b)(a-b)-4b =2(a-b)-4b =2a-2b-4b =-2a-2b =-2(a+b)=-4
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绛旓細鍒濅簩鏁板(涓)搴旂煡搴斾細鐨勭煡璇嗙偣 鍥犲紡鍒嗚В1. 鍥犲紡鍒嗚В:鎶婁竴涓椤瑰紡鍖栦负鍑犱釜鏁村紡鐨绉殑褰㈠紡,鍙仛鎶婅繖涓椤瑰紡鍥犲紡鍒嗚В;娉ㄦ剰:鍥犲紡鍒嗚В涓庝箻娉曟槸鐩稿弽鐨勪袱涓浆鍖.2.鍥犲紡鍒嗚В鐨勬柟娉:甯哥敤鈥滄彁鍙栧叕鍥犲紡娉曗濄佲滃叕寮忔硶鈥濄佲滃垎缁勫垎瑙ｆ硶鈥濄佲滃崄瀛楃浉涔樻硶鈥.3.鍏洜寮忕殑纭畾:绯绘暟鐨勬渶澶у叕绾︽暟•鐩稿悓鍥犲紡鐨勬渶浣庢骞.娉ㄦ剰...
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