初二因式分解的题目

\u521d\u4e8c\u6570\u5b66\u56e0\u5f0f\u5206\u89e3\u7684\u6b65\u9aa4\u53ca\u4f8b\u9898

\u3000\u56e0\u5f0f\u5206\u89e3\u662f\u521d\u4e8c\u4ee3\u6570\u4e2d\u7684\u91cd\u8981\u5185\u5bb9\uff0c\u5e76\u4e14\u5b83\u7684\u5185\u5bb9\u8d2f\u7a7f\u5728\u6574\u4e2a\u4e2d\u5b66\u6570\u5b66\u6559\u6750\u4e4b\u4e2d\uff0c\u5b66\u4e60\u5b83\uff0c\u65e2\u53ef\u4ee5\u57f9\u517b\u7684\u89c2\u5bdf\u80fd\u529b\u3001\u8fd0\u7b97\u80fd\u529b\uff0c\u53c8\u53ef\u4ee5\u63d0\u9ad8\u7efc\u5408\u5206\u6790\u95ee\u9898\u3001\u89e3\u51b3\u95ee\u9898\u7684\u80fd\u529b\u3002\u8f6c\u5316\u662f\u672c\u7ae0\u6700\u91cd\u8981\u7684\u6570\u5b66\u601d\u60f3\uff0c\u5373\u5c06\u9ad8\u6b21\u7684\u591a\u9879\u5f0f\u5206\u89e3\u8f6c\u5316\u4e3a\u82e5\u5e72\u4e2a\u8f83\u4f4e\u6b21\u7684\u56e0\u5f0f\u7684\u4e58\u79ef\u3002\u8fd9\u79cd\u8f6c\u5316\u901a\u5e38\u8981\u901a\u8fc7\u89c2\u5bdf\u3001\u5206\u6790\u3001\u5c1d\u8bd5\uff0c\u5e94\u7528\u63d0\u53d6\u516c\u56e0\u5f0f\u3001\u4e58\u6cd5\u516c\u5f0f\u3001\u5206\u7ec4\u5206\u89e3\u7b49\u65b9\u6cd5\u6765\u8fbe\u5230\u76ee\u7684\u3002\u672c\u4e13\u9898\u91cd\u8981\u8bb2\u89e3\u4e24\u4e2a\u5185\u5bb9\uff0c\u4e00\u662f\u56e0\u5f0f\u98ce\u89e3\u7684\u51e0\u70b9\u6ce8\u610f\u4e8b\u9879\uff0c\u4e8c\u662f\u56e0\u5f0f\u5206\u89e3\u7684\u5e94\u7528\u3002 \u3000\u3000\u4e00\u3001\u6ce8\u610f\u4e8b\u9879\uff1a
\u3000\u30001\u3001\u56e0\u5f0f\u5206\u89e3\u4e0e\u6574\u5f0f\u4e58\u6cd5\u4e92\u4e3a\u9006\u8fd0\u7b97 \u3000\u3000
\u3000\u30002\uff0e\u5728\u63d0\u516c\u56e0\u5f0f\u65f6\uff0c\u82e5\u5404\u9879\u7cfb\u6570\u90fd\u662f\u6574\u6570\uff0c\u6240\u63d0\u7684\u516c\u56e0\u5f0f\u662f\u5404\u9879\u7cfb\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u4e0e\u5404\u9879\u90fd\u542b\u6709\u7684\u5b57\u6bcd\u7684\u6700\u4f4e\u6b21\u5e42\u7684\u79ef\u3002
\u3000\u30003\uff0e\u5982\u679c\u591a\u9879\u5f0f\u7684\u7b2c\u4e00\u9879\u7cfb\u6570\u662f\u8d1f\u6570\uff0c\u4e00\u822c\u8981\u63d0\u51fa\u201c-\u201d\u53f7\uff0c\u4f7f\u62ec\u53f7\u5185\u7684\u7b2c\u4e00\u9879\u7cfb\u6570\u662f\u6b63\u6570\uff0c\u5728\u63d0\u51fa\u201c-\u201d\u53f7\u65f6\uff0c\u591a\u9879\u5f0f\u7684\u5404\u9879\u90fd\u8981\u53d8\u53f7\u3002
\u3000\u30004\uff0e\u6709\u65f6\u5c06\u56e0\u5f0f\u7ecf\u8fc7\u7b26\u53f7\u53d8\u6362\u6216\u5c06\u5b57\u6bcd\u91cd\u65b0\u6392\u5217\u540e\u53ef\u5316\u4e3a\u516c\u56e0\u5f0f\uff0c\u4f8b\u5982\uff1a-a-b+c=-(a+b-c)\uff1b
\u3000\u3000\u53c8\u5982\uff1a\u5f53n\u4e3a\u81ea\u7136\u6570\u65f6\uff0c(a-b)2n=(b-a)2n; (a-b)2n-1=-(b-a)2n-1\uff0c\u90fd\u662f\u5728\u56e0\u5f0f\u5206\u89e3\u8fc7\u7a0b\u4e2d\u5e38\u7528\u5230\u7684\u56e0\u5f0f\u53d8\u6362\u3002
\u3000\u30005\uff0e\u80fd\u8fd0\u7528\u5e73\u65b9\u5dee\u516c\u5f0fa2-b2=(a+b)(a-b)\u5206\u89e3\u7684\u591a\u9879\u5f0f\uff0c\u5fc5\u987b\u662f\u4e8c\u9879\u5f0f\u6216\u89c6\u4f5c\u4e8c\u9879\u5f0f\u7684\u591a\u9879\u5f0f\uff0c\u4e14\u8fd9\u4e8c\u9879\u7684\u7b26\u53f7\u76f8\u53cd\uff0c
\u3000\u3000a\u3001b\u53ef\u8868\u793a\u6570\uff0c\u4ea6\u53ef\u8868\u793a\u5b57\u6bcd\u6216\u4ee3\u6570\u5f0f\uff0c\u6bcf\u9879\u90fd\u80fd\u5199\u6210\u6570\uff08\u6216\u5f0f\uff09\u7684\u5b8c\u5168\u5e73\u65b9\u7684\u5f62\u5f0f\u3002
\u3000\u30005\uff0e\u80fd\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0fa2\u00b12ab+b2=(a\u00b1b)2\u5206\u89e3\u7684\u591a\u9879\u5f0f\uff0c\u5fc5\u987b\u662f\u4e09\u9879\u5f0f\u6216\u89c6\u4f5c\u4e09\u9879\u5f0f\u7684\u591a\u9879\u5f0f\uff0c\u4e14\u5176\u4e2d\u4e24\u9879\u7b26\u53f7\u76f8\u540c\u5e76\u90fd\u80fd\u5199\u6210\u6570\uff08\u6216\u5f0f\uff09\u7684\u5b8c\u5168\u5e73\u65b9\u5f62\u5f0f\uff0c\u800c\u4f59\u4e0b\u7684\u4e00\u9879\u662f\u8fd9\u4e24\u4e2a\u6570\uff08\u6216\u5f0f\uff09\u7684\u4e58\u79ef\u76842\u500d\u3002\u5982\u679c\u4e09\u9879\u4e2d\u7684\u4e24\u4e2a\u5b8c\u5168\u5e73\u65b9\u9879\u90fd\u5e26\u6709\u8d1f\u53f7\uff0c\u5219\u5e94\u5148\u63d0\u51fa\u8d1f\u53f7\uff0c\u518d\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\u3002 \u3000\u3000\u4f8b1\u3001\u628a-a2-b2+2ab+4\u5206\u89e3\u56e0\u5f0f\u3002
\u3000\u3000\u89e3\uff1a-a2-b2+2ab+4
\u3000\u3000\u3000=-(a2\uff0d2ab+b2-4)
\u3000\u3000\u3000=-[(a2-2ab+b2)-4]
\u3000\u3000\u3000=-[(a-b)2-4]
\u3000\u3000\u3000=-(a\uff0db+2)(a\uff0db\uff0d2)
\u3000\u3000\u5982\u679c\u591a\u9879\u5f0f\u7684\u7b2c\u4e00\u9879\u662f\u8d1f\u7684\uff0c\u4e00\u822c\u8981\u63d0\u51fa\u8d1f\u53f7\uff0c\u4f7f\u62ec\u53f7\u5185\u7b2c\u4e00\u9879\u7cfb\u6570\u662f\u6b63\u7684\uff0c\u4ee5\u514d\u51fa\u9519\u3002 \u3000\u3000\u4f8b2\u3001\u5206\u89e3\u56e0\u5f0f\uff08a+b\uff09n+2-2(a+b)n+1+(a+b)n
\u3000\u3000\u89e3\uff1a\uff08a+b\uff09n+2-2(a+b)n+1+(a+b)n
\u3000\u3000\u3000=\uff08a+b\uff09n[(a+b)2-2(a+b)+1]
\u3000\u3000\u3000=(a+b)n(a+b-1)2
\u3000\u3000\u672c\u9898\u5148\u8fd0\u7528\u63d0\u53d6\u516c\u56e0\u5f0f\uff0c\u7136\u540e\u8fd0\u7528\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f
\u3000\u3000\u4f8b3\u3001\u5206\u89e3\u56e0\u5f0f\uff1ax4\uff0d8x2+16
\u3000\u3000\u89e3\uff1ax4-8x2+16
\u3000\u3000\u3000=(x2-4)2
\u3000\u3000\u3000=[(x+2)(x-2)]2
\u3000\u3000\u3000=(x+2)2(x-2)2
\u3000\u3000\u672c\u9898\u6ce8\u610f\u5206\u89e3\u5f7b\u5e95\uff0c\u5fc5\u987b\u8fdb\u884c\u5230\u6bcf\u4e00\u4e2a\u591a\u9879\u5f0f\u56e0\u5f0f\u90fd\u4e0d\u80fd\u518d\u5206\u89e3\u4e3a\u6b62\u3002 \u3000\u3000\u4e8c\u3001\u56e0\u5f0f\u5206\u89e3\u7684\u5e94\u7528\uff1a
\u3000\u3000\u5c06\u5f0f\u5b50\u5316\u4e3a\u82e5\u5e72\u4e2a\u56e0\u5f0f\u7684\u4e58\u79ef\uff0c\u8fd9\u79cd\u8f6c\u6362\u5f80\u5f80\u80fd\u4f7f\u590d\u6742\u7684\u8fd0\u7b97\u5c55\u5f00\uff0c\u8f6c\u6362\u4e3a\u4e00\u6b21\u56e0\u5f0f\u4e2d\u7684\u7b80\u5355\u52a0\u51cf\u8fd0\u7b97\uff0c\u4ece\u800c\u5927\u5927\u51cf\u5316\u8fd0\u7b97\u8fc7\u7a0b\uff0c\u8fd9\u662f\u7b49\u4ef7\u8f6c\u6362\u7684\u6570\u5b66\u601d\u60f3\u65b9\u6cd5\u3002 \u3000\u3000\u4f8b1\uff0e\u8ba1\u7b97\uff1a
\u3000\u3000(1) ;\u3000\u3000(2);
\u3000\u3000(3)2022-542+256\u00d7352; \u3000(4)6212-769\u00d7373-1482.
\u3000\u3000\u5206\u6790\uff1a\u6b64\u9898\u4e2d\u67091812-612\uff0c3192-2092\uff1b17.52-9.52, 131.52-3.52; 2022-542; 6212-1482.\u4f7f\u6211\u4eec\u8003\u8651\u5230\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\u516c\u5f0f\uff1a
(a+b)(a-b)=a2-b2.
\u3000\u3000\u5b83\u7684\u9006\u53d8\u5f62\u662f a2-b2=(a+b)(a-b)
\u3000\u3000\u5e94\u7528\u4e0a\u8ff0\u53d8\u5f62\u5f0f\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5c06\u8f83\u4e3a\u590d\u6742\u7684\u5e73\u65b9\u8fd0\u7b97\uff0c\u964d\u4ef7\u8f6c\u5316\u4e3a\u7b80\u5355\u7684\u52a0\u3001\u51cf\u8fd0\u7b97\u548c\u4e58\u6cd5\u8fd0\u7b97\u3002 \u3000\u3000\u89e3\uff1a(1) = = =.

\u3000\u3000(2) = = =.

\u3000\u3000(3) 2022-542+256\u00d7352
\u3000\u3000\u3000=(202+54)\u00d7(202-54)+256\u00d7352
\u3000\u3000\u3000=256\u00d7148+256\u00d7352
\u3000\u3000\u3000=256\u00d7(148+352)
\u3000\u3000\u3000=256\u00d7500=128000. \u3000\u3000(4)6212-769\u00d7373-1482.
\u3000\u3000\u3000=(621+148)\u00d7(621-148)-769\u00d7373
\u3000\u3000\u3000=769\u00d7473-769\u00d7373
\u3000\u3000\u3000=769\u00d7(473-373)
\u3000\u3000\u3000=769\u00d7100=76900.
\u3000\u3000\u901a\u8fc7\u4f8b1\uff0c\u6211\u4eec\u4e0d\u96be\u5f97\u51fa\u89e3\u6b64\u7c7b\u9898\u76ee\u7684\u65b9\u6cd5\uff1a\uff081\uff09\u9006\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u5316\u5e73\u65b9\u8fd0\u7b97\u4e3a\u4e58\u6cd5\u8fd0\u7b97\uff1b\uff082\uff09\u7ea6\u5206\u5316\u7b80\u6216\u63d0\u53d6\u56e0\u6570\u7ed3\u5408\u8fd0\u7b97\u6c42\u503c\u3002\u540c\u65f6\uff0c\u4f8b1\u4e5f\u53cd\u6620\u51fa\u5206\u89e3\u56e0\u5f0f\u7684\u65b9\u6cd5\uff0c\u5728\u7b80\u5316\u8fd0\u7b97\u65f6\u7684\u91cd\u8981\u6027\u3002\u3000\u3000\u4f8b2\uff0e\u6c42\u8bc1\uff1a(1) 710-79-78=78\u00d741; (2) 109+108+107=5\u00d7106\u00d7222; (3) 257-512\u80fd\u88ab120\u6574\u9664\uff1b (4)817-279-913\u80fd\u88ab45\u6574\u9664
\u3000\u3000\u5206\u6790\uff1a\u6839\u636e\u4e58\u6cd5\u7684\u5206\u914d\u5f8b\u3001\u5bf9\u591a\u9879\u5f0f\u8fd0\u7b97\u6709 m(a+b+c)=ma+mb+mc,
\u3000\u3000\u53cd\u8fc7\u6765\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230 ma+mb+mc=m(a+b+c).
\u3000\u3000\u5e94\u7528\u4e0a\u8ff0\u7ed3\u8bba\uff0c\u80fd\u591f\u6070\u5230\u597d\u5904\u7684\u8fbe\u5230\u964d\u4f4e\u6b21\u6570\uff0c\u89e3\u51b3\u672c\u4f8b\u95ee\u9898\u7684\u76ee\u7684\u3002 \u3000\u3000\u89e3\uff1a\u2235(1) 710-79-78=78\u00d7(72-7-1)
\u3000\u3000\u3000\u3000\u3000\u3000 =78\u00d7(49-8)=78\u00d741,
\u3000\u3000\u2234710-79-78=78\u00d741. \u3000\u3000(2)\u2235 109+108+107=107\u00d7(102+10+1)
\u3000\u3000\u3000\u3000 =107\u00d7(100+11)=106\u00d710\u00d7111
\u3000\u3000 \u3000\u3000=5\u00d7106\u00d7222
\u3000\u3000\u2234109+108+107=5\u00d7106\u00d7222. \u3000\u3000(3)\u2235257-512=(52)7-512
\u3000\u3000\u3000\u3000=514-512=511\u00d7(53-5)
\u3000\u3000\u3000\u3000=511\u00d7(125-5)=511\u00d7120,
\u3000\u3000\u2234257-512\u80fd\u88ab120\u6574\u9664\uff1b \u3000\u3000(4)\u2235817-279-913=(34)7-(33)9-(32)13
\u3000\u3000\u3000\u3000=328-327-326=324\u00d7(34-33-32)
\u3000\u3000\u3000\u3000=324\u00d7(81-27-9)=324\u00d745,
\u3000\u3000\u2234817-279-913\u80fd\u88ab45\u6574\u9664. \u3000\u3000\u901a\u8fc7\u4f8b2\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u51fa\uff0c\u89e3\u51b3\u6b64\u7c7b\u6574\u9664\u95ee\u9898\u7684\u4e3b\u8981\u601d\u8def\u662f\uff1a\uff081\uff09\u63d0\u53d6\u9002\u5f53\u7684\u56e0\u6570\uff1b\uff082\uff09\u5c06\u63d0\u53d6\u56e0\u6570\u540e\u7684\u5176\u4ed6\u6570\u7684\u4ee3\u6570\u548c\u5316\u7b80\uff0c\u5f97\u5230\u6211\u4eec\u80fd\u591f\u8bf4\u660e\u95ee\u9898\u7684\u7ed3\u8bba\uff0c\u4ece\u800c\u89e3\u51b3\u95ee\u9898\u3002 \u3000\u3000\u4f8b3\uff0e\u5df2\u77e5a= , b=, \u6c42(a+b)2-(a-b)2\u7684\u503c\u3002 \u3000\u3000\u89e3\uff1a(a+b)2-(a-b)2
\u3000\u3000\u3000 =[(a+b)+(a-b)][(a+b)-(a-b)]
\u3000\u3000\u3000 =2a\u00b72b=4ab,
\u3000\u3000\u2234(a+b)2-(a-b)2=4\u00d7\u00d7 =. \u3000\u3000\u4f8b4\uff0e\u89e3\u65b9\u7a0b\uff1a
\u3000\u3000(1)(65x+63)2-(65x-63)2=260; \u3000\u3000(2)(78x+77)(77x-78)=(78x+77)(77x+78).
\u3000\u3000\u89e3\uff1a(1)\u9006\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\uff0c\u628a\u539f\u65b9\u7a0b\u5316\u4e3a\u5176\u7b49\u4ef7\u5f62\u5f0f
\u3000\u3000[(65x+63)-(65x-63)][(65x+63)+(65x-63)]=260,
\u3000\u3000\u5373126\u00d7130x=260, \u2234 x=.
\u3000\u3000(2)\u539f\u65b9\u7a0b\u53ef\u5316\u4e3a (78x+77)(77x-78)-(78x+77)(77x+78)=0,
\u3000\u3000\u5373-78\u00d72\u00d7(78x+77)=0,
\u3000\u300078x+77=0, \u2234 x=- .
\u3000\u3000\u901a\u8fc7\u4f8b4\u53ef\u89c1\uff0c\u5e94\u7528\u7b49\u4ef7\u8f6c\u5316\u601d\u60f3\u6765\u56e0\u5f0f\u5206\u89e3\uff0c\u5f80\u5f80\u53ef\u4ee5\u5c06\u8f83\u9ad8\u6b21\u7684\u65b9\u7a0b\uff0c\u5de7\u5999\u8f6c\u5316\u4e3a\u6700\u7b80\u65b9\u7a0b\uff0c\u4ece\u800c\u6c42\u51fa\u65b9\u7a0b\u7684\u6839\u3002\u3000\u3000\u4f8b5\uff0e\uff08248-1\uff09\u53ef\u4ee5\u88ab60\u4e0e70\u4e4b\u95f4\u7684\u4e24\u4e2a\u6570\u6574\u9664\uff0c\u8fd9\u4e24\u4e2a\u6570\u662f\uff08\u3000 \uff09
\u3000\u3000A\u300161,63\u3000\u3000\u3000 B\u300161,65\u3000\u3000 C\u300163,65\u3000\u3000\u3000 D\u300163,67 \u3000\u3000\u89e3\uff1a248-1=(224+1)(224-1)
\u3000\u3000\u3000=(224+1)(212+1)(212-1)
\u3000\u3000\u3000=(224+1)(212+1)(26+1)(26-1),
\u3000\u3000\u2235 26+1=65, 26-1=63.
\u3000\u3000\u2234 \u5e94\u9009C\u3002

1\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a(x2+3x)2-2(x2+3x)\uff0d8\uff1d \uff0e
2\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a(x2+x+1)(x2+x+2)\uff0d12= \uff0e
3\uff0e\u5206\u89e3\u56e0\u5f0f\uff1ax2\uff0dxy\uff0d2y2\uff0dx\uff0dy= \uff0e (\u91cd\u5e86\u5e02\u4e2d\u8003\u9898)
4\uff0e\u5df2\u77e5\u4e8c\u6b21\u4e09\u9879\u5f0f \u5728\u6574\u6570\u8303\u56f4\u5185\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u79ef\uff0c\u5219\u6574\u6570m\u7684\u53ef\u80fd\u53d6\u503c\u4e3a \uff0e
5\uff0e\u5c06\u591a\u9879\u5f0f \u5206\u89e3\u56e0\u5f0f\uff0c\u7ed3\u679c\u6b63\u786e\u7684\u662f\uff08 \uff09\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e
(\u5317\u4eac\u4e2d\u8003\u9898)
6\uff0e\u4e0b\u52175\u4e2a\u591a\u9879\u5f0f\uff1a
\u2460 \uff1b\u2461 \uff1b\u2462 \uff1b\u2463 \uff1b\u2464
\u5176\u4e2d\u5728\u6709\u7406\u6570\u8303\u56f4\u5185\u53ef\u4ee5\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\u7684\u6709\uff08 \uff09\uff0e
A\uff0e\u2460\u3001\u2461\u3001\u2462 B\uff0e\u2461\u3001\u2462 \u3001\u2463 C\uff0e\u2460\u2462 \u3001\u2463\u3001\u2464 D\uff0e\u2460\u3001\u2461\u3001\u2463
7\uff0e\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\u540e\uff0c\u53ef\u8868\u793a\u4e3a\u4e00\u6b21\u56e0\u5f0f\u4e58\u79ef\u7684\u662f( )\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e
(\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
8\uff0e\u82e5 \uff0c \uff0c\u5219 \u7684\u503c\u4e3a( )\uff0e
A\uff0e B\uff0e C\uff0e D\uff0e0 (\u5927\u8fde\u5e02\u201c\u80b2\u82f1\u676f\u201d\u7ade\u8d5b\u9898)
9\uff0e\u5206\u89e3\u56e0\u5f0f
\uff081\uff09(x2+4x+8)2+3x(x2+4x+8)+2x2\uff1b
(2)(2x2\uff0d3x+1)2\u4e0022x2+33x\uff0d1\uff1b
(3)x4+2001x2+2000x+2001\uff1b
(4)(6x\uff0d1)(2 x\uff0d1)(3 x\uff0d1)( x\uff0d1)+x2\uff1b
(5) \uff1b
(6) \uff0e (\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
10\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e
11\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e
12\uff0e\u5206\u89e3\u56e0\u5f0f\uff1a = \uff0e\uff08 \u201c\u4e94\u7f8a\u676f\u201d\u7ade\u8d5b\u9898\uff09
13\uff0e\u57281~100\u4e4b\u95f4\u82e5\u5b58\u5728\u6574\u6570n\uff0c\u4f7f \u80fd\u5206\u89e3\u4e3a\u4e24\u4e2a\u6574\u7cfb\u6570\u4e00\u6b21\u5f0f\u7684\u4e58\u79ef\uff0c\u8fc7\u6837\u7684n\u6709 \u4e2a\uff0e (\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
14\uff0e \u7684\u56e0\u5f0f\u662f( )
A\uff0e B\uff0e C\uff0e D\uff0e E\uff0e
15\uff0e\u5df2\u77e5 \uff0cM= \uff0cN= \uff0c\u5219M\u4e0eN\u7684\u5927\u5c0f\u5173\u7cfb\u662f( )
A\uff0eM N C\uff0eM\uff1dN D\uff0e\u4e0d\u80fd\u786e\u5b9a
(\u7b2c \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
16\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b
(2) \uff1b (\u6e56\u5317\u7701\u9ec4\u5188\u5e02\u7ade\u8d5b\u9898)
(3) \uff1b (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)
(4) \uff1b\uff08\u201c\u4e94\u7f8a\u676f\u201d\u7ade\u8d5b\u9898\uff09
(5) \uff0e (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)
17\uff0e\u5df2\u77e5\u4e58\u6cd5\u516c\u5f0f\uff1a
\uff1b
\uff0e
\u5229\u7528\u6216\u8005\u4e0d\u5229\u7528\u4e0a\u8ff0\u516c\u5f0f\uff0c\u5206\u89e3\u56e0\u5f0f\uff1a (\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
18\uff0e\u5df2\u77e5\u5728\u0394ABC\u4e2d\uff0c (a\u3001b\u3001c\u662f\u4e09\u89d2\u5f62\u4e09\u8fb9\u7684\u957f)\uff0e
\u6c42\u8bc1\uff1a (\u5929\u6d25\u5e02\u7ade\u8d5b\u9898)


\u5b66\u529b\u8bad\u7ec3
1\uff0e\u5df2\u77e5x+y\uff1d3\uff0c \uff0c\u90a3\u4e48 \u7684\u503c\u4e3a \uff0e
2\uff0e\u65b9\u7a0b \u7684\u6574\u6570\u89e3\u662f \uff0e ( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
3\uff0e\u5df2\u77e5a\u3001b\u3001c\u3001d\u4e3a\u975e\u8d1f\u6574\u6570\uff0c\u4e14ac+bd+ad+bc=1997\uff0c\u5219a+b+c+d\uff1d \uff0e
4\uff0e\u5bf9\u4e00\u5207\u5927\u4e8e2\u7684\u6b63\u6574\u6570n\uff0c\u6570n5\u4e005n3+4n\u7684\u91cf\u5927\u516c\u7ea6\u6570\u662f \uff0e
(\u56db\u5ddd\u7701\u7ade\u8d5b\u9898)
5\uff0e\u5df2\u77e5724\uff0d1\u53ef\u88ab40\u81f350\u4e4b\u95f4\u7684\u4e24\u4e2a\u6574\u6570\u6574\u9664\uff0c\u8fd9\u4e24\u4e2a\u6574\u6570\u662f( )
A\uff0e41\uff0c48 B\uff0e45\uff0c47 C\uff0e43\uff0c48 D\uff0e4l\uff0c47
6\uff0c\u5df2\u77e52x2\uff0d3xy+y2\uff1d0(xy\u22600)\uff0c\u5219 \u7684\u503c\u662f( )
A\uff0e 2\uff0c B\uff0e2 C\uff0e D\uff0e\uff0d2\uff0c
7\uff0ea\u3001b\u3001c\u662f\u6b63\u6574\u6570\uff0ca>b\uff0c\u4e14a2-ac+bc=7\uff0c\u5219a\u2014c\u7b49\u4e8e( )
A\uff0e\u4e002 B\uff0e\u4e001 C\uff0e0 D\uff0e 2
(\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
8\uff0e\u5982\u679c \uff0c\u90a3\u4e48 \u7684\u503c\u7b49\u4e8e( )
A\uff0e1999 B\uff0e2001 C\uff0e2003 D\uff0e2005
\uff08\u6b66\u6c49\u5e02\u9009\u62d4\u8d5b\u8bd5\u9898\uff09
9\uff0e(1)\u6c42\u8bc1\uff1a8l7\u4e00279\u2014913\u80fd\u88ab45\u6574\u9664\uff1b
(2)\u8bc1\u660e\uff1a\u5f53n\u4e3a\u81ea\u7136\u6570\u65f6\uff0c2(2n+1)\u5f62\u5f0f\u7684\u6570\u4e0d\u80fd\u8868\u793a\u4e3a\u4e24\u4e2a\u6574\u6570\u7684\u5e73\u65b9\u5dee\uff1b
\uff083\uff09\u8ba1\u7b97\uff1a
10\uff0e\u82e5a\u662f\u81ea\u7136\u6570\uff0c\u5219a4\uff0d3a+9\u662f\u8d28\u6570\u8fd8\u662f\u5408\u6570?\u7ed9\u51fa\u4f60\u7684\u8bc1\u660e\uff0e
(\u201c\u4e94\u57ce\u5e02\u201d\u8054\u8d5b\u9898)
11\uff0e\u5df2\u77e5a\u3001b\u3001c\u6ee1\u8db3a+b\uff1d5\uff0cc2\uff1dab+b\uff0d9\uff0c\u5219c\uff1d \uff0e (\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
12\uff0e\u5df2\u77e5\u6b63\u6570a\u3001b\u3001c\u6ee1\u8db3ab+a+b=bc+b+c=ac+a+c\uff0c\u5219(a+1)(b+1)(c+1)= \uff0e(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
13\uff0e\u6574\u6570a\u3001b\u6ee1\u8db36ab\uff1d9a\u2014l0b+303\uff0c\u5219a+b= \uff0e(\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
14\uff0e\u5df2\u77e5 \uff0c\u4e14 \uff0c\u5219 \u7684\u503c\u7b49\u4e8e \uff0e
( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
15\uff0e\u8bbea<b<c<d\uff0c\u5982\u679cx=(a\uff0bb)(c\uff0bd)\uff0cy=(a+c)(b+d)\uff0cz\uff1d(a+d)(b+c)\uff0c\u90a3\u4e48x\u3001y\u3001z\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a( )
A\uff0ex<y<z B\uff0e y<z<x C\uff0ez <x<y D\uff0e\u4e0d\u80fd\u786e\u5b9a
16\uff0e\u82e5x+y=\uff0d1\uff0c\u5219 \u7684\u503c\u7b49\u4e8e( )
A\uff0e0 B\uff0e\uff0d1 C\uff0e1 D\uff0e 3
( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
17\uff0e\u5df2\u77e5\u4e24\u4e2a\u4e0d\u540c\u7684\u8d28\u6570p\u3001q\u6ee1\u8db3\u4e0b\u5217\u5173\u7cfb \uff1a \uff0c \uff0cm\u662f\u9002\u5f53\u7684\u6574\u6570\uff0c\u90a3\u4e48 \u7684\u6570\u503c\u662f( )
A\uff0e4004006 B\uff0e3996005 C\uff0e3996003 D\uff0e4004004
18\uff0e\u8bben\u4e3a\u67d0\u4e00\u81ea\u7136\u6570\uff0c\u4ee3\u5165\u4ee3\u6570\u5f0fn3\uff0dn\u8ba1\u7b97\u5176\u503c\u65f6\uff0c\u56db\u4e2a\u5b66\u751f\u7b97\u51fa\u4e86\u4e0b\u5217\u56db\u4e2a\u7ed3\u679c\uff0e\u5176\u4e2d\u6b63\u786e\u7684\u7ed3\u679c\u662f( )
A\uff0e5814 B\uff0e5841 C\uff0e8415 D\uff0e845l (\u9655\u897f\u7701\u7ade\u8d5b\u9898)
19\uff0e\u6c42\u8bc1\uff1a\u5b58\u5728\u65e0\u7a77\u591a\u4e2a\u81ea\u7136\u6570k\uff0c\u4f7f\u5f97n4+k\u4e0d\u662f\u8d28\u6570\uff0e
20\uff0e\u67d0\u6821\u5728\u5411\u201c\u5e0c\u671b\u5de5\u7a0b\u201d\u6350\u6551\u6d3b\u52a8\u4e2d\uff0c\u7532\u73ed\u7684m\u4e2a\u7537\u751f\u548c11\u4e2a\u5973\u751f\u7684\u6350\u6b3e\u603b\u6570\u4e0e\u4e59\u73ed\u76849\u4e2a\u7537\u751f\u548cn\u4e2a\u5973\u751f\u7684\u6350\u6b3e\u603b\u6570\u76f8\u7b49\uff0c\u90fd\u662f(mn+9m+11n+145)\u5143\uff0c\u5df2\u77e5\u6bcf\u4eba\u7684\u6350\u6b3e\u6570\u76f8\u540c\uff0c\u4e14\u90fd\u662f\u6574\u6570\uff0c\u6c42\u6bcf\u4eba\u7684\u6350\u6b3e\u6570\uff0e (\u5168\u56fd\u521d\u4e2d\u6559\u5b66\u8054\u8d5b\u9898)
21\uff0e\u5df2\u77e5b\u3001c\u662f\u6574\u6570\uff0c\u4e8c\u6b21\u4e09\u9879\u5f0fx2+bx\uff0bc\u65e2\u662fx4+6x2+25\u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u4e5f\u662fx3+4x2+28x+5\u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u6c42x\uff1d1\u65f6\uff0cx2+bx\uff0bc\u7684\u503c\uff0e
(\u7f8e\u56fd\u4e2d\u5b66\u751f\u6570\u5b66\u7ade\u8d5b\u9898)
22\uff0e\u6309\u4e0b\u9762\u89c4\u5219\u6269\u5145\u65b0\u6570\uff1a
\u5df2\u6709\u4e24\u6570a\u3001b\uff0c\u53ef\u6309\u89c4\u5219c=ab+a+b\u6269\u5145\u4e00\u4e2a\u65b0\u6570\uff0c\u5728a\u3001b\u3001c\u4e09\u4e2a\u6570\u4e2d\u4efb\u53d6\u4e24\u6570\uff0c\u6309\u89c4\u5219\u53c8\u53ef\u6269\u5145\u4e00\u4e2a\u65b0\u6570\uff0c\u2026\u2026\u6bcf\u6269\u5145\u4e00\u4e2a\u65b0\u6570\u53eb\u505a\u4e00\u6b21\u64cd\u4f5c\uff0e
\u73b0\u6709\u65701\u548c4\uff0c(1)\u6c42\u6309\u4e0a\u8ff0\u89c4\u5219\u64cd\u4f5c\u4e09\u6b21\u5f97\u5230\u6269\u5145\u7684\u6700\u5927\u65b0\u6570\uff1b(2)\u80fd\u5426\u901a\u8fc7\u4e0a\u8ff0\u89c4\u5219\u6269\u5145\u5f97\u5230\u65b0\u65701999\uff0c\u5e76\u8bf4\u660e\u7406\u7531\uff0e (\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)


1\uff0e(1)\u5b8c\u6210\u4e0b\u5217\u914d\u65b9\u95ee\u9898\uff1a
\uff08\u6c5f\u897f\u7701\u4e2d\u8003\u9898\uff09
\uff082\uff09\u5206\u89e3\u56e0\u5f0f\uff1a \u7684\u7ed3\u679c\u662f \uff0e(\u90d1\u5dde\u5e02\u7ade\u8d5b\u9898)
2\uff0e\u82e5 \u6709\u4e00\u4e2a\u56e0\u5f0f\u662fx+1\uff0c\u5219 \uff1d \uff0e
3\uff0e\u82e5 \u662f\u5b8c\u5168\u5e73\u65b9\u5f0f\uff0c\u5219 = \uff0e
(2003\u5e74\u9752\u5c9b\u5e02\u4e2d\u8003\u9898)
4\uff0e\u5df2\u77e5\u591a\u9879\u5f0f \u53ef\u4ee5i\u5206\u89e3\u4e3a \u7684\u5f62\u5f0f\uff0c\u90a3\u4e48 \u7684\u503c\u662f \uff0e ( \u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898)
5\uff0e\u5df2\u77e5 \uff0c\u5219 \u7684\u503c\u4e3a( )
A\uff0e3 B\uff0e C\uff0e D\uff0e
6\uff0e\u5982\u679c a\u3001b\u662f\u6574\u6570\uff0c\u4e14 \u662f \u7684\u56e0\u5f0f\uff0e\u90a3\u4e48b\u7684\u503c\u4e3a( )
A\uff0e\uff0d2 B\uff0e\uff0dl C\uff0e0 D\uff0e2
(\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
7\uff0e d\u5206\u89e3\u56e0\u5f0f\u7684\u7ed3\u679c\u662f\uff08 \uff09
A\uff0e B\uff0e
C\uff0e D\uff0e
(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
8\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b (2) \uff1b
(3) \uff1b
\uff084\uff09 \uff1b (\u6606\u660e\u5e02\u7ade\u8d5b\u9898)
(5) \uff1b \uff08\u201c\u7956\u51b2\u4e4b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898\uff09
\uff086\uff09 (\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)
9\uff0e\u5df2\u77e5 \u662f \u7684\u4e00\u4e2a\u56e0\u5f0f\uff0c\u6c42 \u7684\u503c\uff0e
\uff08\u7b2c15\u5c4a\u201c\u5e0c\u671b\u676f\u201d\u9080\u8bf7\u8d5b\u8bd5\u9898\uff09
10\uff0e\u5df2\u77e5 \u662f\u591a\u9879\u5f0f \u7684\u56e0\u5f0f\uff0c\u5219 \uff1d \uff0e
(\u7b2c15\u5c4a\u6c5f\u82cf\u7701\u7ade\u8d5b\u9898)
11\uff0e\u4e00\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\u7684\u5b8c\u5168\u5e73\u65b9\u5f0f\u662f \uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e8c\u6b21\u4e09\u9879\u5f0f\u662f \uff0e
(\u91cd\u5e86\u5e02\u7ade\u8d5b\u9898)
12\uff0e\u5df2\u77e5 \uff0c\u5219 = \uff0e
(\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
13\uff0e\u5df2\u77e5 \u4e3a\u6b63\u6574\u6570\uff0c\u4e14 \u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u5219 \u7684\u503c\u4e3a \uff0e
14\uff0e\u8bbem\u3001n\u6ee1\u8db3 \uff0c\u5219 =( )
A\uff0e(2\uff0c2)\u6216(\uff0d2\uff0c\uff0d2) B\uff0e(2\uff0c2)\u6216(2\uff0c\uff0d2)
C\uff0e(2\uff0c\uff0d2)\u6216(\uff0d2\uff0c2) D\uff0e(\uff0d2\uff0c\uff0d2)\u6216(\uff0d2\uff0c2)
15\uff0e\u5c06 \u56e0\u5f0f\u5206\u89e3\u5f97( )
A\uff0e B\uff0e
C\uff0e D\uff0e
16\uff0e\u82e5 a\u3001b\u3001c\u3001d\u90fd\u662f\u6b63\u6570\uff0c\u5219\u5728\u4ee5\u4e0b\u547d\u9898\u4e2d\uff0c\u9519\u8bef\u7684\u662f( )
A\uff0e\u82e5 \uff0c\u5219
B\uff0e\u82e5 \uff0c\u5219
C\uff0e\u82e5 \uff0c\u5219
D\uff0e\u82e5 \uff0c\u5219
17\uff0e\u628a\u4e0b\u5217\u5404\u5f0f\u5206\u89e3\u56e0\u5f0f\uff1a
(1) \uff1b (2) \uff1b
(3) \uff1b (4) \uff1b
(5) (2003\u5e74\u6cb3\u5357\u7701\u7ade\u8d5b\u9898)
18\uff0e\u5df2\u77e5\u5173\u4e8ex\u3001y\u7684\u4e8c\u6b21\u5f0f \u53ef\u5206\u89e3\u4e3a\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u4e58\u79ef\uff0c\u6c42m\u7684\u503c\uff0e (\u5927\u539f\u5e02\u7ade\u8d5b\u9898)
19\uff0e\u8bc1\u660e\u6052\u7b49\u5f0f\uff1a (\u5317\u4eac\u5e02\u7ade\u8d5b\u9898)
20\uff0e\u4e00\u4e2a\u81ea\u7136\u6570a\u82e5\u6070\u597d\u7b49\u4e8e\u53e6\u4e00\u4e2a\u81ea\u7136\u6570b\u7684\u5e73\u65b9\uff0c\u5219\u79f0\u81ea\u7136\u6570a\u4e3a\u5b8c\u5168\u5e73\u65b9\u6570\uff0e\u598264\uff1d82\uff0c64\u5c31\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u5df2\u77e5a\uff1d20012+20012\u00d7 20022\u534120022\uff0c\u6c42\u8bc1\uff1aa\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0e(\u5e0c\u671b\u676f\u9898)

1.(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=(x+y)²-2×2(x+y)+2²
=(x+y-2)²

2.(x-y)²+4xy
=x²-2xy+y²+4xy
=x²+2xy+y²
=(x+y)²

3.(x-1)(x+3)+1
=x²+2x+1-3
=(x+1)²-3
=(x+1)²-(√3)²
=(x+1+√3)(x+1-√3)

1 原式=(x+y-2)²
2 原式=(x+y)²
3 原式=(x+1+√3)(x+1-√3)

.1,(x+y)²-4(x+y-1)=.(x+y)²-4(x+y)+4=(x+y-2)²
2,.(x-y)²+4xy=x²-2xy+y²+4xy=x²+2xy+y²=(x+y)²

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