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10\u3001\u62bd\u5c49\u539f\u7406<\/h3>\n\n\n\n

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14\u3001\u52a0\u6cd5\u4e58\u6cd5\u539f\u7406\u548c\u51e0\u4f55\u8ba1\u6570<\/h3>\n\n\n\n

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15\u3001\u8d28\u6570\u4e0e\u5408\u6570<\/h3>\n\n\n\n

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\"\"\/<\/figure>\n\n\n\n

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\u4e92\u8d28\u6570\uff1a\u5982\u679c\u4e24\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u662f1\uff0c\u8fd9\u4e24\u4e2a\u6570\u53eb\u505a\u4e92\u8d28\u6570\u3002<\/p>\n\n\n\n

16\u3001\u7ea6\u6570\u4e0e\u500d\u6570<\/h3>\n\n\n\n

\u7ea6\u6570\u548c\u500d\u6570\uff1a\u82e5\u6574\u6570 a \u80fd\u591f\u88ab b \u6574\u9664\uff0ca \u53eb\u505a b \u7684\u500d\u6570\uff0cb \u5c31\u53eb\u505a a \u7684\u7ea6\u6570\u3002\u516c\u7ea6\u6570\uff1a\u51e0\u4e2a\u6570\u516c\u6709\u7684\u7ea6\u6570\uff0c\u53eb\u505a\u8fd9\u51e0\u4e2a\u6570\u7684\u516c\u7ea6\u6570\uff1b\u5176\u4e2d\u6700\u5927\u7684\u4e00\u4e2a\uff0c\u53eb<\/p>\n\n\n\n

\u505a\u8fd9\u51e0\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u3002\u6700\u5927\u516c\u7ea6\u6570\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n

\uff081\uff09 \u51e0\u4e2a\u6570\u90fd\u9664\u4ee5\u5b83\u4eec\u7684\u6700\u5927\u516c\u7ea6\u6570\uff0c\u6240\u5f97\u7684\u51e0\u4e2a\u5546\u662f\u4e92\u8d28\u6570\u3002<\/p>\n\n\n\n

\uff082\uff09 \u51e0\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u90fd\u662f\u8fd9\u51e0\u4e2a\u6570\u7684\u7ea6\u6570\u3002<\/p>\n\n\n\n

\uff083\uff09 \u51e0\u4e2a\u6570\u7684\u516c\u7ea6\u6570\uff0c\u90fd\u662f\u8fd9\u51e0\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u7684\u7ea6\u6570\u3002<\/p>\n\n\n\n

\uff084\uff09 \u51e0\u4e2a\u6570\u90fd\u4e58\u4ee5\u4e00\u4e2a\u81ea\u7136\u6570 m\uff0c\u6240\u5f97\u7684\u79ef\u7684\u6700\u5927\u516c\u7ea6\u6570\u7b49\u4e8e\u8fd9\u51e0\u4e2a\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u4e58\u4ee5 m\u3002<\/p>\n\n\n\n

\u4f8b\u5982\uff1a12 \u7684\u7ea6\u6570\u6709 1\u30012\u30013\u30014\u30016\u300112\uff1b 18 \u7684\u7ea6\u6570\u6709\uff1a1\u30012\u30013\u30016\u30019\u300118\uff1b<\/p>\n\n\n\n

\u90a3\u4e48 12 \u548c 18 \u7684\u516c\u7ea6\u6570\u6709\uff1a1\u30012\u30013\u30016\uff1b<\/p>\n\n\n\n

\u90a3\u4e48 12 \u548c 18 \u6700\u5927\u7684\u516c\u7ea6\u6570\u662f\uff1a6\uff0c\u8bb0\u4f5c\uff0812\uff0c18\uff09=6\uff1b \u6c42\u6700\u5927\u516c\u7ea6\u6570\u57fa\u672c\u65b9\u6cd5\uff1a<\/p>\n\n\n\n

\uff081\uff09 \u5206\u89e3\u8d28\u56e0\u6570\u6cd5\uff1a\u5148\u5206\u89e3\u8d28\u56e0\u6570\uff0c\u7136\u540e\u628a\u76f8\u540c\u7684\u56e0\u6570\u8fde\u4e58\u8d77\u6765\u3002<\/p>\n\n\n\n

\uff082\uff09 \u77ed\u9664\u6cd5\uff1a\u5148\u627e\u516c\u6709\u7684\u7ea6\u6570\uff0c\u7136\u540e\u76f8\u4e58\u3002<\/p>\n\n\n\n

\uff083\uff09 \u8f97\u8f6c\u76f8\u9664\u6cd5\uff1a\u6bcf\u4e00\u6b21\u90fd\u7528\u9664\u6570\u548c\u4f59\u6570\u76f8\u9664\uff0c\u80fd\u591f\u6574\u9664\u7684\u90a3\u4e2a\u4f59\u6570\uff0c\u5c31\u662f\u6240\u6c42\u7684\u6700\u5927\u516c\u7ea6\u6570\u3002<\/p>\n\n\n\n

\u516c\u500d\u6570\uff1a\u51e0\u4e2a\u6570\u516c\u6709\u7684\u500d\u6570\uff0c\u53eb\u505a\u8fd9\u51e0\u4e2a\u6570\u7684\u516c\u500d\u6570\uff1b\u5176\u4e2d\u6700\u5c0f\u7684\u4e00\u4e2a\uff0c\u53eb\u505a\u8fd9\u51e0\u4e2a\u6570\u7684\u6700\u5c0f\u516c\u500d\u6570\u3002<\/p>\n\n\n\n

12 \u7684\u500d\u6570\u6709\uff1a12\u300124\u300136\u300148\u2026\u2026\uff1b<\/p>\n\n\n\n

18 \u7684\u500d\u6570\u6709\uff1a18\u300136\u300154\u300172\u2026\u2026\uff1b<\/p>\n\n\n\n

\u90a3\u4e48 12 \u548c 18 \u7684\u516c\u500d\u6570\u6709\uff1a36\u300172\u3001108\u2026\u2026\uff1b<\/p>\n\n\n\n

\u90a3\u4e48 12 \u548c 18 \u6700\u5c0f\u7684\u516c\u500d\u6570\u662f 36\uff0c\u8bb0\u4f5c[12\uff0c18]=36\uff1b \u6700\u5c0f\u516c\u500d\u6570\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n

\uff081\uff09 \u4e24\u4e2a\u6570\u7684\u4efb\u610f\u516c\u500d\u6570\u90fd\u662f\u5b83\u4eec\u6700\u5c0f\u516c\u500d\u6570\u7684\u500d\u6570\u3002<\/p>\n\n\n\n

\uff082\uff09 \u4e24\u4e2a\u6570\u6700\u5927\u516c\u7ea6\u6570\u4e0e\u6700\u5c0f\u516c\u500d\u6570\u7684\u4e58\u79ef\u7b49\u4e8e\u8fd9\u4e24\u4e2a\u6570\u7684\u4e58\u79ef\u3002<\/p>\n\n\n\n

\u6c42\u6700\u5c0f\u516c\u500d\u6570\u57fa\u672c\u65b9\u6cd5\uff1a1\u3001\u77ed\u9664\u6cd5\u6c42\u6700\u5c0f\u516c\u500d\u6570\uff1b2\u3001\u5206\u89e3\u8d28\u56e0\u6570\u7684\u65b9\u6cd5<\/p>\n\n\n\n

\u7b2c\u56db\u90e8\u5206\uff08\u77e5\u8bc6\u70b9 17-21\uff09<\/h2>\n\n\n\n

17\u3001\u6570\u7684\u6574\u9664<\/h3>\n\n\n\n

\u4e00\u3001\u57fa\u672c\u6982\u5ff5\u548c\u7b26\u53f7\uff1a<\/p>\n\n\n\n

1\u3001\u6574\u9664\uff1a\u5982\u679c\u4e00\u4e2a\u6574\u6570 a\uff0c\u9664\u4ee5\u4e00\u4e2a\u81ea\u7136\u6570 b\uff0c\u5f97\u5230\u4e00\u4e2a\u6574\u6570\u5546 c\uff0c\u800c\u4e14\u6ca1\u6709\u4f59\u6570\uff0c\u90a3\u4e48\u53eb\u505a a \u80fd\u88ab b \u6574\u9664\u6216 b \u80fd\u6574\u9664 a\uff0c\u8bb0\u4f5c b|a\u3002<\/p>\n\n\n\n

2\u3001\u5e38\u7528\u7b26\u53f7\uff1a\u6574\u9664\u7b26\u53f7\u201c|\u201d\uff0c\u4e0d\u80fd\u6574\u9664\u7b26\u53f7\u201c\u201d\uff1b\u56e0\u4e3a\u7b26\u53f7\u201c\u2235\u201d\uff0c\u6240\u4ee5\u7684\u7b26\u53f7\u201c\u2234\u201d\uff1b<\/p>\n\n\n\n

\u4e8c\u3001\u6574\u9664\u5224\u65ad\u65b9\u6cd5\uff1a<\/p>\n\n\n\n

1. \u80fd\u88ab 2\u30015 \u6574\u9664\uff1a\u672b\u4f4d\u4e0a\u7684\u6570\u5b57\u80fd\u88ab 2\u30015 \u6574\u9664\u3002<\/p>\n\n\n\n

2. \u80fd\u88ab 4\u300125 \u6574\u9664\uff1a\u672b\u4e24\u4f4d\u7684\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u80fd\u88ab 4\u300125 \u6574\u9664\u3002<\/p>\n\n\n\n

3. \u80fd\u88ab 8\u3001125 \u6574\u9664\uff1a\u672b\u4e09\u4f4d\u7684\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u80fd\u88ab 8\u3001125 \u6574\u9664\u3002<\/p>\n\n\n\n

4. \u80fd\u88ab 3\u30019 \u6574\u9664\uff1a\u5404\u4e2a\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\u80fd\u88ab 3\u30019 \u6574\u9664\u3002<\/p>\n\n\n\n

5. \u80fd\u88ab 7 \u6574\u9664\uff1a<\/p>\n\n\n\n

\u2460\u672b\u4e09\u4f4d\u4e0a\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u4e0e\u672b\u4e09\u4f4d\u4ee5\u524d\u7684\u6570\u5b57\u6240\u7ec4\u6210\u6570\u4e4b\u5dee\u80fd\u88ab 7 \u6574\u9664\u3002<\/p>\n\n\n\n

\u2461\u9010\u6b21\u53bb\u6389\u6700\u540e\u4e00\u4f4d\u6570\u5b57\u5e76\u51cf\u53bb\u672b\u4f4d\u6570\u5b57\u7684 2 \u500d\u540e\u80fd\u88ab 7 \u6574\u9664\u3002<\/p>\n\n\n\n

6. \u80fd\u88ab 11 \u6574\u9664\uff1a<\/p>\n\n\n\n

\u2460\u672b\u4e09\u4f4d\u4e0a\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u4e0e\u672b\u4e09\u4f4d\u4ee5\u524d\u7684\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u4e4b\u5dee\u80fd\u88ab 11 \u6574\u9664\u3002<\/p>\n\n\n\n

\u2461\u5947\u6570\u4f4d\u4e0a\u7684\u6570\u5b57\u548c\u4e0e\u5076\u6570\u4f4d\u6570\u7684\u6570\u5b57\u548c\u7684\u5dee\u80fd\u88ab 11 \u6574\u9664\u3002<\/p>\n\n\n\n

\u2462\u9010\u6b21\u53bb\u6389\u6700\u540e\u4e00\u4f4d\u6570\u5b57\u5e76\u51cf\u53bb\u672b\u4f4d\u6570\u5b57\u540e\u80fd\u88ab 11 \u6574\u9664\u3002<\/p>\n\n\n\n

7. \u80fd\u88ab 13 \u6574\u9664\uff1a<\/p>\n\n\n\n

\u2460\u672b\u4e09\u4f4d\u4e0a\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u4e0e\u672b\u4e09\u4f4d\u4ee5\u524d\u7684\u6570\u5b57\u6240\u7ec4\u6210\u7684\u6570\u4e4b\u5dee\u80fd\u88ab 13 \u6574\u9664\u3002<\/p>\n\n\n\n

\u2461\u9010\u6b21\u53bb\u6389\u6700\u540e\u4e00\u4f4d\u6570\u5b57\u5e76\u51cf\u53bb\u672b\u4f4d\u6570\u5b57\u7684 9 \u500d\u540e\u80fd\u88ab 13 \u6574\u9664\u3002\u4e09\u3001\u6574\u9664\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n

1. \u5982\u679c a\u3001b \u80fd\u88ab c \u6574\u9664\uff0c\u90a3\u4e48\uff08a+b\uff09\u4e0e\uff08a-b\uff09\u4e5f\u80fd\u88ab c \u6574\u9664\u3002<\/p>\n\n\n\n

2. \u5982\u679c a \u80fd\u88ab b \u6574\u9664\uff0cc \u662f\u6574\u6570\uff0c\u90a3\u4e48 a \u4e58\u4ee5 c \u4e5f\u80fd\u88ab b \u6574\u9664\u3002<\/p>\n\n\n\n

3. \u5982\u679c a \u80fd\u88ab b \u6574\u9664\uff0cb \u53c8\u80fd\u88ab c \u6574\u9664\uff0c\u90a3\u4e48 a \u4e5f\u80fd\u88ab c \u6574\u9664\u3002<\/p>\n\n\n\n

4. \u5982\u679c a \u80fd\u88ab b\u3001c \u6574\u9664\uff0c\u90a3\u4e48 a \u4e5f\u80fd\u88ab b \u548c c \u7684\u6700\u5c0f\u516c\u500d\u6570\u6574\u9664\u3002<\/p>\n\n\n\n

18\u3001\u4f59\u6570\u53ca\u5176\u5e94\u7528\u57fa\u672c\u6982\u5ff5\uff1a<\/h3>\n\n\n\n

\u5bf9\u4efb\u610f\u81ea\u7136\u6570 a\u3001b\u3001q\u3001r\uff0c\u5982\u679c\u4f7f\u5f97 a\u00f7b=q\u2026\u2026r\uff0c\u4e14 0<r<b,\u90a3\u4e48 r \u53eb\u505a a \u9664\u4ee5 b \u7684\u4f59\u6570\uff0cq \u53eb\u505a a \u9664\u4ee5 b \u7684\u4e0d\u5b8c\u5168\u5546\u3002<\/p>\n\n\n\n

\u4f59\u6570\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n

\u2460\u4f59\u6570\u5c0f\u4e8e\u9664\u6570\u3002<\/p>\n\n\n\n

\u2461\u82e5 a\u3001b \u9664\u4ee5 c \u7684\u4f59\u6570\u76f8\u540c\uff0c\u5219 c|a-b \u6216 c|b-a\u3002<\/p>\n\n\n\n

\u2462a \u4e0eb \u7684\u548c\u9664\u4ee5c \u7684\u4f59\u6570\u7b49\u4e8ea \u9664\u4ee5c \u7684\u4f59\u6570\u52a0\u4e0ab \u9664\u4ee5c \u7684\u4f59\u6570\u7684\u548c\u9664\u4ee5 c \u7684\u4f59\u6570\u3002<\/p>\n\n\n\n

\u2463a \u4e0eb \u7684\u79ef\u9664\u4ee5c \u7684\u4f59\u6570\u7b49\u4e8ea \u9664\u4ee5c \u7684\u4f59\u6570\u4e0eb \u9664\u4ee5c \u7684\u4f59\u6570\u7684\u79ef\u9664\u4ee5c \u7684\u4f59\u6570\u3002<\/p>\n\n\n\n

19\u3001\u4f59\u6570\u3001\u540c\u4f59\u4e0e\u5468\u671f<\/h3>\n\n\n\n

\u4e00\u3001\u540c\u4f59\u7684\u5b9a\u4e49\uff1a<\/p>\n\n\n\n

\u2460\u82e5\u4e24\u4e2a\u6574\u6570 a\u3001b \u9664\u4ee5 m \u7684\u4f59\u6570\u76f8\u540c\uff0c\u5219\u79f0 a\u3001b \u5bf9\u4e8e\u6a21 m \u540c\u4f59\u3002<\/p>\n\n\n\n

\u2461\u5df2\u77e5\u4e09\u4e2a\u6574\u6570 a\u3001b\u3001m\uff0c\u5982\u679c m|a-b\uff0c\u5c31\u79f0 a\u3001b \u5bf9\u4e8e\u6a21 m \u540c\u4f59\uff0c\u8bb0\u4f5c a\u2261 b(mod m)\uff0c\u8bfb\u4f5c a \u540c\u4f59\u4e8e b \u6a21 m\u3002<\/p>\n\n\n\n

\u4e8c\u3001\u540c\u4f59\u7684\u6027\u8d28\uff1a<\/p>\n\n\n\n

\u2460\u81ea\u8eab\u6027\uff1aa\u2261a(mod m)\uff1b<\/p>\n\n\n\n

\u2461\u5bf9\u79f0\u6027\uff1a\u82e5 a\u2261b(mod m)\uff0c\u5219 b\u2261a(mod m)\uff1b<\/p>\n\n\n\n

\u2462\u4f20\u9012\u6027\uff1a\u82e5 a\u2261b(mod m)\uff0cb\u2261c(mod m)\uff0c\u5219 a\u2261 c(mod m)\uff1b<\/p>\n\n\n\n

\u2463\u548c\u5dee\u6027\uff1a\u82e5 a\u2261b(mod m)\uff0cc\u2261d(mod m)\uff0c\u5219 a+c\u2261b+d(mod m)\uff0ca-c\u2261b-d(mod m)\uff1b<\/p>\n\n\n\n

\u2464\u76f8\u4e58\u6027\uff1a\u82e5 a\u2261 b(mod m)\uff0cc\u2261d(mod m)\uff0c\u5219 a\u00d7c\u2261 b\u00d7d(mod m)\uff1b<\/p>\n\n\n\n

\u2465\u4e58\u65b9\u6027\uff1a\u82e5 a\u2261b(mod m)\uff0c\u5219 an\u2261bn(mod m)\uff1b<\/p>\n\n\n\n

\u2466\u540c\u500d\u6027:\u82e5 a\u2261 b(mod m)\uff0c\u6574\u6570 c\uff0c\u5219 a\u00d7c\u2261 b\u00d7c(mod m\u00d7c)\uff1b<\/p>\n\n\n\n

\u4e09\u3001\u5173\u4e8e\u4e58\u65b9\u7684\u9884\u5907\u77e5\u8bc6\uff1a<\/p>\n\n\n\n

\u2460\u82e5 A=a\u00d7b\uff0c\u5219 MA=Ma\u00d7b=\uff08Ma\uff09b<\/p>\n\n\n\n

\u2461\u82e5 B=c+d \u5219 MB=Mc+d=Mc\u00d7Md<\/p>\n\n\n\n

\u56db\u3001\u88ab 3\u30019\u300111 \u9664\u540e\u7684\u4f59\u6570\u7279\u5f81\uff1a<\/p>\n\n\n\n

\u2460\u4e00\u4e2a\u81ea\u7136\u6570 M\uff0cn \u8868\u793a M \u7684\u5404\u4e2a\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\uff0c\u5219 M\u2261n(mod 9)\u6216\uff08mod 3\uff09\uff1b<\/p>\n\n\n\n

\u2461\u4e00\u4e2a\u81ea\u7136\u6570 M\uff0cX \u8868\u793a M \u7684\u5404\u4e2a\u5947\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\uff0cY \u8868\u793a M \u7684\u5404\u4e2a\u5076\u6570\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\uff0c\u5219 M\u2261Y-X \u6216 M\u226111-\uff08X-Y\uff09(mod 11)\uff1b<\/p>\n\n\n\n

\u4e94\u3001\u8d39\u5c14\u9a6c\u5c0f\u5b9a\u7406\uff1a\u5982\u679c p \u662f\u8d28\u6570\uff08\u7d20\u6570\uff09\uff0ca \u662f\u81ea\u7136\u6570\uff0c\u4e14 a \u4e0d\u80fd\u88ab p \u6574\u9664\uff0c\u5219 ap-1\u22611(mod p)\u3002<\/p>\n\n\n\n

20\u3001\u5206\u6570\u4e0e\u767e\u5206\u6570\u7684\u5e94\u7528\u57fa\u672c\u6982\u5ff5\u4e0e\u6027\u8d28\uff1a<\/h3>\n\n\n\n

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22\u3001\u5206\u6570\u62c6\u5206<\/h3>\n\n\n\n
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23\u3001\u5b8c\u5168\u5e73\u65b9\u6570<\/h3>\n\n\n\n

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26\u3001\u5de5\u7a0b\u95ee\u9898\u57fa\u672c\u516c\u5f0f\uff1a<\/h3>\n\n\n\n

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27\u3001\u903b\u8f91\u63a8\u7406\u57fa\u672c\u65b9\u6cd5\u7b80\u4ecb\uff1a<\/h3>\n\n\n\n

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28\u3001\u51e0\u4f55\u9762\u79ef\u57fa\u672c\u601d\u8def\uff1a<\/h3>\n\n\n\n

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\u5e38\u7528\u65b9\u6cd5\uff1a<\/p>\n\n\n\n

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29\u3001\u7acb\u4f53\u56fe\u5f62<\/h3>\n\n\n\n
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\u7b2c\u516d\u90e8\u5206\uff08\u77e5\u8bc6\u70b9 30-36\uff09<\/h2>\n\n\n\n

30\u3001\u65f6\u949f\u95ee\u9898-\u5feb\u6162\u8868\u95ee\u9898\u57fa\u672c\u601d\u8def\uff1a<\/h3>\n\n\n\n

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31\u3001\u65f6\u949f\u95ee\u9898-\u949f\u9762\u8ffd\u51fb<\/h3>\n\n\n\n

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32\u3001\u6d53\u5ea6\u4e0e\u914d\u6bd4<\/h3>\n\n\n\n

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33\u3001\u7ecf\u6d4e\u95ee\u9898<\/h3>\n\n\n\n

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34\u3001\u7b80\u5355\u65b9\u7a0b<\/h3>\n\n\n\n

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35\u3001\u4e0d\u5b9a\u65b9\u7a0b<\/h3>\n\n\n\n

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36\u3001\u5faa\u73af\u5c0f\u6570<\/h3>\n\n\n\n

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\u3010\u5206\u7c7b\u4e8c\u3011<\/h2>\n\n\n\n

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 \u4e00\u3001\u8ba1\u7b97<\/h2>\n\n\n\n

1. \u56db\u5219\u6df7\u5408\u8fd0\u7b97\u7e41\u5206\u6570<\/strong><\/h3>\n\n\n\n
    \n
  1. \u8fd0\u7b97\u987a\u5e8f<\/li>\n\n\n\n
  2. \u5206\u6570\u3001\u5c0f\u6570\u6df7\u5408\u8fd0\u7b97\u6280\u5de7<\/li>\n\n\n\n
  3. \u4e00\u822c\u800c\u8a00\uff1a \u2460 \u52a0\u51cf\u8fd0\u7b97\u4e2d\uff0c\u80fd\u5316\u6210\u6709\u9650\u5c0f\u6570\u7684\u7edf\u4e00\u4ee5\u5c0f\u6570\u5f62\u5f0f\uff1b \u2461 \u4e58\u9664\u8fd0\u7b97\u4e2d\uff0c\u7edf\u4e00\u4ee5\u5206\u6570\u5f62\u5f0f\u3002<\/li>\n\n\n\n
  4. \u5e26\u5206\u6570\u4e0e\u5047\u5206\u6570\u7684\u4e92\u5316<\/li>\n\n\n\n
  5. \u7e41\u5206\u6570\u7684\u5316\u7b80<\/li>\n<\/ol>\n\n\n\n

    2.\u7b80\u4fbf\u8ba1\u7b97<\/strong><\/h3>\n\n\n\n
      \n
    1. \u51d1\u6574\u601d\u60f3<\/li>\n\n\n\n
    2. \u57fa\u51c6\u6570\u601d\u60f3<\/li>\n\n\n\n
    3. \u88c2\u9879\u4e0e\u62c6\u5206<\/li>\n<\/ol>\n\n\n\n

      \u2460\u6574\u6570\u88c2\u9879\uff08\u516c\u5f0f\u5982\u4e0b\uff09<\/p>\n\n\n\n

      \"\"\/<\/figure>\n\n\n\n

      \u2461\u5206\u6570\u88c2\u9879\uff1a\u88c2\u5dee\u548c\u88c2\u548c<\/p>\n\n\n\n

      \u88c2\u5dee\uff1a<\/strong><\/p>\n\n\n\n

      \"\"\/<\/figure>\n\n\n\n

      \u88c2\u548c\uff1a<\/strong><\/p>\n\n\n\n

      \"\"\/<\/figure>\n\n\n\n

      4. \u63d0\u53d6\u516c\u56e0\u6570 \u4e58\u6cd5\u5206\u914d\u5f8b\uff1aa\u00d7b+a\u00d7 c=a\u00d7( b+c )<\/p>\n\n\n\n

      5. \u5546\u4e0d\u53d8\u6027\u8d28<\/p>\n\n\n\n

      6. \u6539\u53d8\u8fd0\u7b97\u987a\u5e8f<\/p>\n\n\n\n

      \u2460 \u8fd0\u7b97\u5b9a\u5f8b\u7684\u7efc\u5408\u8fd0\u7528<\/p>\n\n\n\n

      \u2461 \u8fde\u51cf\u7684\u6027\u8d28<\/p>\n\n\n\n

      \u2462 \u8fde\u9664\u7684\u6027\u8d28<\/p>\n\n\n\n

      \u2463 \u540c\u7ea7\u8fd0\u7b97\u79fb\u9879\u7684\u6027\u8d28<\/p>\n\n\n\n

      \u2464 \u589e\u51cf\u62ec\u53f7\u7684\u6027\u8d28<\/p>\n\n\n\n

      \u2465 \u53d8\u5f0f\u63d0\u53d6\u516c\u56e0\u6570<\/p>\n\n\n\n

      \u5f62\u5982\uff1a<\/p>\n\n\n\n

      \"\"\/<\/figure>\n\n\n\n

      3. \u4f30\u7b97<\/h3>\n\n\n\n

      \u6c42\u67d0\u5f0f\u7684\u6574\u6570\u90e8\u5206\uff1a\u6269\u7f29\u6cd5<\/p>\n\n\n\n

      4.\u6bd4\u8f83\u5927\u5c0f<\/strong><\/h3>\n\n\n\n

      \u2460 \u901a\u5206<\/p>\n\n\n\n

        \n
      1. \u901a\u5206\u6bcd<\/li>\n\n\n\n
      2. \u901a\u5206\u5b50<\/li>\n<\/ol>\n\n\n\n

        \u2461 \u8ddf\u201c\u4e2d\u4ecb\u201d\u6bd4<\/p>\n\n\n\n

        \u2462 \u5229\u7528\u5012\u6570\u6027\u8d28<\/p>\n\n\n\n

        \"\"\/<\/figure>\n\n\n\n

        5. \u5b9a\u4e49\u65b0\u8fd0\u7b97<\/h3>\n\n\n\n

        6. *\u7279\u6b8a\u6570\u5217\u6c42\u548c<\/h3>\n\n\n\n

        \u8fd0\u7528\u76f8\u5173\u516c\u5f0f\uff1a\uff08\u8981\u6c42\u5168\u90e8\u5728\u7406\u89e3\u3001\u4f1a\u63a8\u5bfc\u7684\u57fa\u7840\u4e0a\u719f\u80cc\uff09<\/p>\n\n\n\n

        \"\"\/<\/figure>\n\n\n\n
        \"\"\/<\/figure>\n\n\n\n

        \u4e8c\u3001\u6570\u8bba<\/h2>\n\n\n\n

        1.\u5947\u5076\u6027\u95ee\u9898<\/h3>\n\n\n\n

        \u5947\u00b1 \u5947=\u5076 \u5947\u00d7\u5947=\u5947<\/p>\n\n\n\n

        \u5947\u00b1 \u5076=\u5947 \u5947\u00d7\u5076=\u5076<\/p>\n\n\n\n

        \u5076\u00b1\u5076=\u5076 \u5076\u00d7\u5076=\u5076<\/p>\n\n\n\n

        2.\u4f4d\u503c\u539f\u5219<\/strong><\/h3>\n\n\n\n

        \u5f62\u5982\uff1a<\/p>\n\n\n\n

        \"\"\/<\/figure>\n\n\n\n

        3. \u6570\u7684\u6574\u9664\u7279\u5f81\uff1a<\/h3>\n\n\n\n
        \u6574\u9664\u6570<\/th>\u7279\u5f81<\/th><\/tr>
        2<\/td>\u672b\u5c3e\u662f 0\u30012\u30014\u30016\u30018<\/td><\/tr>
        3<\/td>\u5404\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\u662f 3 \u7684\u500d\u6570<\/td><\/tr>
        5<\/td>\u672b\u5c3e\u662f 0 \u6216 5<\/td><\/tr>
        9<\/td>\u5404\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\u662f 9 \u7684\u500d\u6570<\/td><\/tr>
        11<\/td>\u5947\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\u4e0e\u5076\u6570\u4f4d\u4e0a\u6570\u5b57\u7684\u548c\uff0c\u4e24\u8005\u4e4b\u5dee\u662f 11 \u7684\u500d\u6570<\/td><\/tr>
        4 \u548c 25<\/td>\u672b\u4e24\u4f4d\u6570\u662f 4\uff08\u6216 25\uff09\u7684\u500d\u6570<\/td><\/tr>
        8 \u548c 125<\/td>\u672b\u4e09\u4f4d\u6570\u662f 8\uff08\u6216 125\uff09\u7684\u500d\u6570<\/td><\/tr>
        7\u300111\u300113<\/td>\u672b\u4e09\u4f4d\u6570\u4e0e\u524d\u51e0\u4f4d\u6570\u7684\u5dee\u662f 7\uff08\u6216 11 \u6216 13\uff09\u7684\u500d\u6570<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

        4. \u6574\u9664\u6027\u8d28<\/h3>\n\n\n\n

        \u2460 \u5982\u679c c|a\u3001c|b\uff0c\u90a3\u4e48 c|(a \u00b1 b)\u3002<\/p>\n\n\n\n

        \u2461 \u5982\u679c bc|a\uff0c\u90a3\u4e48 b|a\uff0cc|a\u3002<\/p>\n\n\n\n

        \u2462 \u5982\u679c b|a\uff0cc|a\uff0c\u4e14\uff08b,c\uff09=1,\u90a3\u4e48 bc|a\u3002<\/p>\n\n\n\n

        \u2463 \u5982\u679c c|b,b|a,\u90a3\u4e48 c|a.<\/p>\n\n\n\n

        \u2464 a \u4e2a\u8fde\u7eed\u81ea\u7136\u6570\u4e2d\u5fc5\u6070\u6709\u4e00\u4e2a\u6570\u80fd\u88ab a \u6574\u9664\u3002<\/p>\n\n\n\n

        5.\u5e26\u4f59\u9664\u6cd5<\/strong><\/h3>\n\n\n\n

        \u4e00\u822c\u5730\uff0c\u5982\u679c a \u662f\u6574\u6570\uff0cb \u662f\u6574\u6570\uff08b\u22600\uff09,\u90a3\u4e48\u4e00\u5b9a\u6709\u53e6\u5916\u4e24\u4e2a\u6574\u6570 q \u548c r\uff0c<\/p>\n\n\n\n

        0\u2264r\uff1cb,\u4f7f\u5f97 a=b\u00d7q+r<\/p>\n\n\n\n

        \u5f53 r=0 \u65f6\uff0c\u6211\u4eec\u79f0 a \u80fd\u88ab b \u6574\u9664\u3002<\/p>\n\n\n\n

        \u5f53 r\u22600 \u65f6\uff0c\u6211\u4eec\u79f0 a \u4e0d\u80fd\u88ab b \u6574\u9664\uff0cr \u4e3a a \u9664\u4ee5 b \u7684\u4f59\u6570\uff0cq \u4e3a a \u9664\u4ee5 b \u7684\u4e0d\u5b8c\u5168\u5546\uff08\u4ea6\u7b80\u79f0\u4e3a\u5546\uff09\u3002\u7528\u5e26\u4f59\u6570\u9664\u5f0f\u53c8\u53ef\u4ee5\u8868\u793a\u4e3a a\u00f7b=q\u2026\u2026r, 0\u2264r\uff1cb a=b\u00d7q+r<\/p>\n\n\n\n

        6. \u552f\u4e00\u5206\u89e3\u5b9a\u7406<\/h3>\n\n\n\n

        \u4efb\u4f55\u4e00\u4e2a\u5927\u4e8e 1 \u7684\u81ea\u7136\u6570 n \u90fd\u53ef\u4ee5\u5199\u6210\u8d28\u6570\u7684\u8fde\u4e58\u79ef\uff0c\u5373<\/p>\n\n\n\n

        \"\"\/<\/figure>\n\n\n\n

        7. \u7ea6\u6570\u4e2a\u6570\u4e0e\u7ea6\u6570\u548c\u5b9a\u7406<\/h3>\n\n\n\n
        \"\"\/<\/figure>\n\n\n\n

        8. \u540c\u4f59\u5b9a\u7406<\/h3>\n\n\n\n

        \u2460 \u540c\u4f59\u5b9a\u4e49\uff1a\u82e5\u4e24\u4e2a\u6574\u6570 a\uff0cb \u88ab\u81ea\u7136\u6570 m \u9664\u6709\u76f8\u540c\u7684\u4f59\u6570\uff0c\u90a3\u4e48\u79f0 a\uff0cb<\/p>\n\n\n\n

        \u5bf9\u4e8e\u6a21 m \u540c\u4f59\uff0c\u7528\u5f0f\u5b50\u8868\u793a\u4e3a a\u2261b(mod m)<\/p>\n\n\n\n

        \u2461\u82e5\u4e24\u4e2a\u6570 a\uff0cb \u9664\u4ee5\u540c\u4e00\u4e2a\u6570 c \u5f97\u5230\u7684\u4f59\u6570\u76f8\u540c\uff0c\u5219 a\uff0cb \u7684\u5dee\u4e00\u5b9a\u80fd\u88ab c\u6574\u9664\u3002<\/p>\n\n\n\n

        \u2462\u4e24\u6570\u7684\u548c\u9664\u4ee5 m \u7684\u4f59\u6570\u7b49\u4e8e\u8fd9\u4e24\u4e2a\u6570\u5206\u522b\u9664\u4ee5 m \u7684\u4f59\u6570\u548c\u3002<\/p>\n\n\n\n

        \u2463\u4e24\u6570\u7684\u5dee\u9664\u4ee5 m \u7684\u4f59\u6570\u7b49\u4e8e\u8fd9\u4e24\u4e2a\u6570\u5206\u522b\u9664\u4ee5 m \u7684\u4f59\u6570\u5dee\u3002<\/p>\n\n\n\n

        \u2464\u4e24\u6570\u7684\u79ef\u9664\u4ee5 m \u7684\u4f59\u6570\u7b49\u4e8e\u8fd9\u4e24\u4e2a\u6570\u5206\u522b\u9664\u4ee5 m \u7684\u4f59\u6570\u79ef\u3002<\/p>\n\n\n\n

        9\uff0e\u5b8c\u5168\u5e73\u65b9\u6570\u6027\u8d28<\/strong><\/h3>\n\n\n\n

        \u2460\u5e73\u65b9\u5dee\uff1a A 2 -B 2 =\uff08A+B\uff09\uff08A-B\uff09\uff0c\u5176\u4e2d\u6211\u4eec\u8fd8\u5f97\u6ce8\u610f A+B\uff0c A-B \u540c\u5947<\/p>\n\n\n\n

        \u5076\u6027\u3002<\/p>\n\n\n\n

        \u2461\u7ea6\u6570\uff1a\u7ea6\u6570\u4e2a\u6570\u4e3a\u5947\u6570\u4e2a\u7684\u662f\u5b8c\u5168\u5e73\u65b9\u6570\u3002\u7ea6\u6570\u4e2a\u6570\u4e3a 3 \u7684\u662f\u8d28\u6570\u7684\u5e73\u65b9\u3002<\/p>\n\n\n\n

        \u2462\u8d28\u56e0\u6570\u5206\u89e3\uff1a\u628a\u6570\u5b57\u5206\u89e3\uff0c\u4f7f\u4ed6\u6ee1\u8db3\u79ef\u662f\u5e73\u65b9\u6570\u3002<\/p>\n\n\n\n

        \u2463\u5e73\u65b9\u548c\u3002<\/p>\n\n\n\n

        10. \u5b59\u5b50\u5b9a\u7406\uff08\u4e2d\u56fd\u5269\u4f59\u5b9a\u7406\uff09<\/h3>\n\n\n\n

        11. \u8f97\u8f6c\u76f8\u9664\u6cd5<\/h3>\n\n\n\n

        12. \u6570\u8bba\u89e3\u9898\u7684\u5e38\u7528\u65b9\u6cd5\uff1a<\/h3>\n\n\n\n

        \u679a\u4e3e\u3001\u5f52\u7eb3\u3001\u53cd\u8bc1\u3001\u6784\u9020\u3001\u914d\u5bf9\u3001\u4f30\u8ba1<\/p>\n\n\n\n

        \u4e09\u3001\u51e0\u4f55\u56fe\u5f62<\/h2>\n\n\n\n

        1. \u5e73\u9762\u56fe\u5f62<\/strong><\/h3>\n\n\n\n
          \n
        1. \u591a\u8fb9\u5f62\u7684\u5185\u89d2\u548c<\/strong> N \u8fb9\u5f62\u7684\u5185\u89d2\u548c=(N-2)\u00d7180\u00b0<\/li>\n\n\n\n
        2. \u7b49\u79ef\u53d8\u5f62\uff08\u4f4d\u79fb\u3001\u5272\u8865\uff09<\/strong> \u2460 \u4e09\u89d2\u5f62\u5185\u7b49\u5e95\u7b49\u9ad8\u7684\u4e09\u89d2\u5f62 \u2461 \u5e73\u884c\u7ebf\u5185\u7b49\u5e95\u7b49\u9ad8\u7684\u4e09\u89d2\u5f62 \u2462 \u516c\u5171\u90e8\u5206\u7684\u4f20\u9012\u6027 \u2463 \u6781\u503c\u539f\u7406\uff08\u53d8\u4e0e\u4e0d\u53d8\uff09<\/li>\n\n\n\n
        3. \u7b49\u9ad8\u6a21\u578b<\/strong><\/li>\n<\/ol>\n\n\n\n
          \"\"\/<\/figure>\n\n\n\n

          4. \u9e1f\u5934\u6a21\u578b\uff08\u5171\u89d2\u5b9a\u7406\uff09<\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          \u4e24\u4e2a\u4e09\u89d2\u5f62\u4e2d\u6709\u4e00\u4e2a\u89d2\u76f8\u7b49\u6216\u4e92\u8865\uff0c\u8fd9\u4e24\u4e2a\u4e09\u89d2\u5f62\u53eb\u505a\u5171\u89d2\u4e09\u89d2\u5f62\u3002\u5171\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u6bd4\u7b49\u4e8e\u5bf9\u5e94\u89d2(<\/strong>\u76f8\u7b49\u89d2\u6216\u4e92\u8865\u89d2)<\/strong>\u4e24\u5939\u8fb9\u7684\u4e58\u79ef\u4e4b\u6bd4\uff0e \u5982\u56fe\u5728\u25b3ABC \u4e2d\uff0cD,E \u5206\u522b\u662fAB,AC \u4e0a\u7684\u70b9\u5982\u56fe(\u6216D \u3001E \u5206\u522b\u5728BA \u3001CA \u5ef6\u957f\u7ebf\u4e0a)\uff0c\u5219<\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          \u5373\uff0c\u5171\u89d2\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u6bd4\u7b49\u4e8e\u5bf9\u5e94\u89d2(\u76f8\u7b49\u89d2\u6216\u4e92\u8865\u89d2)\u4e24\u5939\u8fb9\u7684\u4e58\u79ef\u4e4b\u6bd4<\/p>\n\n\n\n

          5. \u8774\u8776\u6a21\u578b<\/strong> \u2460\u4e0d\u89c4\u5219\u56db\u8fb9\u5f62<\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          S1\ufe30S2 =a\ufe30b \uff1bS1\ufe30S2=S4\ufe30S3 \u6216\u8005 S1\u00d7S3=S2\u00d7S4 \u2461\u68af\u5f62<\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          S1\ufe30S3\ufe30S2\ufe30S4= a2\ufe30b2\ufe30ab\ufe30ab ;S=\uff08a+b\uff092<\/p>\n\n\n\n

          6. \u76f8\u4f3c\u6a21\u578b<\/strong><\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n
          \"\"\/<\/figure>\n\n\n\n

          7. \u71d5\u5c3e\u5b9a\u7406<\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          S\u25b3ABG\uff1aS\u25b3AGC\uff1dS\u25b3BGE\uff1aS\u25b3GEC\uff1dBE\uff1aEC\uff1b<\/p>\n\n\n\n

          S\u25b3BGA\uff1aS\u25b3BGC\uff1dS\u25b3AGF\uff1aS\u25b3GFC\uff1dAF\uff1aFC\uff1b<\/p>\n\n\n\n

          S\u25b3AGC\uff1aS\u25b3BCG\uff1dS\u25b3ADG\uff1aS\u25b3DGB\uff1dAD\uff1aDB\uff1b<\/p>\n\n\n\n

          8. \u5dee\u4e0d\u53d8\u539f\u7406<\/strong><\/p>\n\n\n\n

          \"\"\/<\/figure>\n\n\n\n

          \u77e5 5-2=3\uff0c\u5219\u5706\u70b9\u6bd4\u65b9\u70b9\u591a 3\u3002<\/p>\n\n\n\n

          9. \u9690\u542b\u6761\u4ef6\u7684\u7b49\u4ef7\u4ee3\u6362<\/strong> \u4f8b\u5982\u5f26\u56fe\u4e2d\u957f\u77ed\u8fb9\u957f\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n

          10. \u7ec4\u5408\u56fe\u5f62\u7684\u601d\u8003\u65b9\u6cd5<\/strong> \u2460 \u5316\u6574\u4e3a\u96f6 \u2461 \u5148\u8865\u540e\u53bb \u2462 \u6b63\u53cd\u7ed3\u5408<\/p>\n\n\n\n

          2. \u7acb\u4f53\u56fe\u5f62<\/strong><\/h3>\n\n\n\n
            \n
          1. \u89c4\u5219\u7acb\u4f53\u56fe\u5f62\u7684\u8868\u9762\u79ef\u548c\u4f53\u79ef\u516c\u5f0f<\/strong><\/li>\n\n\n\n
          2. \u4e0d\u89c4\u5219\u7acb\u4f53\u56fe\u5f62\u7684\u8868\u9762\u79ef<\/strong><\/li>\n\n\n\n
          3. \u6574\u4f53\u89c2\u7167\u6cd5<\/li>\n\n\n\n
          4. \u4f53\u79ef\u7684\u7b49\u79ef\u53d8\u5f62<\/strong> \u2460\u6c34\u4e2d\u6d78\u653e\u7269\u4f53\uff1aV \u5347\u6c34=V \u7269 \u2461\u6d4b\u5564\u9152\u74f6\u5bb9\u79ef\uff1aV=V \u7a7a\u6c14+V \u6c34<\/li>\n\n\n\n
          5. \u4e09\u89c6\u56fe\u4e0e\u5c55\u5f00\u56fe<\/strong> \u6700\u77ed\u7ebf\u8def\u4e0e\u5c55\u5f00\u56fe\u5f62\u72b6\u95ee\u9898<\/li>\n\n\n\n
          6. \u67d3\u8272\u95ee\u9898<\/strong><\/li>\n<\/ol>\n\n\n\n

            \u51e0\u9762\u67d3\u8272\u7684\u5757\u6570\u4e0e\u201c\u82af\u201d\u3001\u68f1\u957f\u3001\u9876\u70b9\u3001\u9762\u6570\u7684\u5173\u7cfb\u3002<\/p>\n\n\n\n

            \u56db\u3001\u5178\u578b\u5e94\u7528\u9898<\/h2>\n\n\n\n

            1. \u690d\u6811\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u2460\u5f00\u653e\u578b\u4e0e\u5c01\u95ed\u578b \u2461\u95f4\u9694\u4e0e\u682a\u6570\u7684\u5173\u7cfb<\/p>\n\n\n\n

            2. \u65b9\u9635\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u5916\u5c42\u8fb9\u957f\u6570-2=\u5185\u5c42\u8fb9\u957f\u6570<\/p>\n\n\n\n

            \uff08\u5916\u5c42\u8fb9\u957f\u6570-1\uff09\u00d74=\u5916\u5468\u957f\u6570<\/p>\n\n\n\n

            \u5916\u5c42\u8fb9\u957f\u6570 2-\u4e2d\u7a7a\u8fb9\u957f\u6570 2=\u5b9e\u9762\u79ef\u6570<\/p>\n\n\n\n

            3.\u5e74\u9f84\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u5dee\u4e0d\u53d8\u539f\u7406<\/p>\n\n\n\n

            4.\u9e21\u5154\u540c\u7b3c<\/h3>\n\n\n\n

            \u5047\u8bbe\u6cd5\u7684\u89e3\u9898\u601d\u60f3<\/p>\n\n\n\n

            5.\u725b\u5403\u8349\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u539f\u6709\u8349\u91cf=\uff08\u725b\u5403\u901f\u5ea6-\u8349\u957f\u901f\u5ea6\uff09\u00d7\u65f6\u95f4<\/p>\n\n\n\n

            6. \u5e73\u5747\u6570\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            7. \u76c8\u4e8f\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u5206\u6790\u5dee\u91cf\u5173\u7cfb<\/p>\n\n\n\n

            8.\u548c\u5dee\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            9. \u548c\u500d\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            10. \u5dee\u500d\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            11. \u9006\u63a8\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u8fd8\u539f\u6cd5\uff0c\u4ece\u7ed3\u679c\u5165\u624b<\/p>\n\n\n\n

            12.\u4ee3\u6362\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u5217\u8868\u6d88\u5143\u6cd5<\/p>\n\n\n\n

            \u7b49\u4ef7\u6761\u4ef6\u4ee3\u6362<\/p>\n\n\n\n

            \u4e94\u3001\u884c\u7a0b\u95ee\u9898<\/h2>\n\n\n\n

            1.\u76f8\u9047\u95ee\u9898<\/h3>\n\n\n\n

            \u8def\u7a0b\u548c=\u901f\u5ea6\u548c\u00d7\u76f8\u9047\u65f6\u95f4<\/p>\n\n\n\n

            2.\u8ffd\u53ca\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u8def\u7a0b\u5dee=\u901f\u5ea6\u5dee\u00d7\u8ffd\u53ca\u65f6\u95f4<\/p>\n\n\n\n

            3. \u6d41\u6c34\u884c\u8239<\/strong><\/h3>\n\n\n\n

            \u987a\u6c34\u901f\u5ea6=\u8239\u901f+\u6c34\u901f\u9006\u6c34\u901f\u5ea6=\u8239\u901f-\u6c34\u901f \u8239\u901f=\uff08\u987a\u6c34\u901f\u5ea6+\u9006\u6c34\u901f\u5ea6\uff09\u00f72 \u6c34\u901f=\uff08\u987a\u6c34\u901f\u5ea6-\u9006\u6c34\u901f\u5ea6\uff09\u00f72<\/p>\n\n\n\n

            4. \u706b\u8f66\u8fc7\u6865\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u2460\u8f66\u957f+\u6865\u957f=\u901f\u5ea6\u00d7\u65f6\u95f4 \u2461\u8f66\u957f\u7532+\u8f66\u957f\u4e59=\u901f\u5ea6\u548c\u00d7\u76f8\u9047\u65f6\u95f4 \u2462\u8f66\u957f\u7532+\u8f66\u957f\u4e59=\u901f\u5ea6\u5dee\u00d7\u8ffd\u53ca\u65f6\u95f4 \u706b\u8f66\u4e0e\u4eba\u6216\u9a91\u8f66\u4eba\u6216\u53e6\u4e00\u5217\u8f66\u4e0a\u7684\u53f8\u673a\u7684\u76f8\u9047\u53ca\u8ffd\u53ca\u95ee\u9898\u8f66\u957f=\u901f\u5ea6\u548c\u00d7\u76f8\u9047\u65f6\u95f4 \u8f66\u957f=\u901f\u5ea6\u5dee\u00d7\u8ffd\u53ca\u65f6\u95f4<\/p>\n\n\n\n

            5. \u591a\u6b21\u76f8\u9047<\/strong><\/h3>\n\n\n\n

            \u7ebf\u578b\u8def\u7a0b\uff1a \u7532\u4e59\u5171\u884c\u5168\u7a0b\u6570=\u76f8\u9047\u6b21\u6570\u00d72-1 \u73af\u578b\u8def\u7a0b\uff1a \u7532\u4e59\u5171\u884c\u5168\u7a0b\u6570=\u76f8\u9047\u6b21\u6570<\/p>\n\n\n\n

            \u5176\u4e2d\u7532\u5171\u884c\u8def\u7a0b=\u5355\u5728\u5355\u4e2a\u5168\u7a0b\u6240\u884c\u8def\u7a0b\u00d7\u5171\u884c\u5168\u7a0b\u6570<\/p>\n\n\n\n

            6.\u73af\u5f62\u8dd1\u9053<\/strong><\/h3>\n\n\n\n

            7. \u884c\u7a0b\u95ee\u9898\u4e2d\u6b63\u53cd\u6bd4\u4f8b\u5173\u7cfb\u7684\u5e94\u7528<\/strong><\/h3>\n\n\n\n

            \u8def\u7a0b\u4e00\u5b9a\uff0c\u901f\u5ea6\u548c\u65f6\u95f4\u6210\u53cd\u6bd4\u3002\u901f\u5ea6\u4e00\u5b9a\uff0c\u8def\u7a0b\u548c\u65f6\u95f4\u6210\u6b63\u6bd4\u3002\u65f6\u95f4\u4e00\u5b9a\uff0c\u8def\u7a0b\u548c\u901f\u5ea6\u6210\u6b63\u6bd4\u3002<\/p>\n\n\n\n

            8. \u949f\u9762\u4e0a\u7684\u8ffd\u53ca\u95ee\u9898<\/strong><\/h3>\n\n\n\n

            \u2460 \u65f6\u9488\u548c\u5206\u9488\u6210\u76f4\u7ebf\uff1b<\/p>\n\n\n\n

            \u2461 \u65f6\u9488\u548c\u5206\u9488\u6210\u76f4\u89d2\u3002<\/p>\n\n\n\n

            \u7ed3\u5408\u5206\u6570\u3001\u5de5\u7a0b\u3001\u548c\u5dee\u95ee\u9898\u7684\u4e00\u4e9b\u7c7b\u578b\u3002<\/p>\n\n\n\n

            \u884c\u7a0b\u95ee\u9898\u65f6\u5e38\u8fd0\u7528\u201c\u65f6\u5149\u5012\u6d41\u201d\u548c\u201c\u5047\u5b9a\u770b\u6210\u201d\u7684\u601d\u8003\u65b9\u6cd5\u3002<\/p>\n\n\n\n

            \u516d\u3001\u6742\u9898<\/h2>\n\n\n\n

            1. \u8ba1\u6570\u95ee\u9898<\/strong><\/h3>\n\n\n\n
              \n
            1. \u52a0\u6cd5\u539f\u7406<\/strong> \u5206\u7c7b\u679a\u4e3e<\/li>\n\n\n\n
            2. \u4e58\u6cd5\u539f\u7406<\/strong>\u6392\u5217\u7ec4\u5408<\/li>\n\n\n\n
            3. \u5bb9\u65a5\u539f\u7406<\/strong> \u2460 \u603b\u6570\u91cf=A+B+C-(AB+AC+BC)+ABC \u2461 \u5e38\u7528\uff1a\u603b\u6570\u91cf=A+B-AB<\/li>\n\n\n\n
            4. \u62bd\u5c49\u539f\u7406<\/strong>\u81f3\u591a\u81f3\u5c11\u95ee\u9898<\/li>\n\n\n\n
            5. \u63e1\u624b\u95ee\u9898<\/strong><\/li>\n<\/ol>\n\n\n\n

              \u5728\u56fe\u5f62\u8ba1\u6570\u4e2d\u5e94\u7528\u5e7f\u6cdb<\/p>\n\n\n\n

              \u2460 \u89d2\u3001\u7ebf\u6bb5\u3001\u4e09\u89d2\u5f62\uff0c<\/p>\n\n\n\n

              \u2461 \u957f\u65b9\u5f62\u3001\u68af\u5f62\u3001\u5e73\u884c\u56db\u8fb9\u5f62<\/p>\n\n\n\n

              \u2462 \u6b63\u65b9\u5f62<\/p>\n\n\n\n

              2.\u5206\u6570\u5e94\u7528<\/strong><\/h3>\n\n\n\n
                \n
              1. \u91cf\u7387\u5bf9\u5e94<\/strong><\/li>\n\n\n\n
              2. \u4ee5\u4e0d\u53d8\u91cf\u4e3a\u201c1\u201d<\/strong><\/li>\n\n\n\n
              3. \u5229\u6da6\u95ee\u9898<\/strong><\/li>\n\n\n\n
              4. \u6d53\u5ea6\u95ee\u9898<\/strong><\/li>\n\n\n\n
              5. \u5012\u4e09\u89d2\u539f\u7406 \u4f8b\uff1a<\/li>\n<\/ol>\n\n\n\n
                \"\"\/<\/figure>\n\n\n\n

                5. \u5de5\u7a0b\u95ee\u9898<\/strong> \u2460\u5408\u4f5c\u95ee\u9898 \u2461\u6c34\u6c60\u8fdb\u51fa\u6c34\u95ee\u9898<\/p>\n\n\n\n

                6. \u6309\u6bd4\u4f8b\u5206\u914d<\/strong><\/p>\n\n\n\n

                3.\u65b9\u7a0b\u89e3\u9898<\/strong><\/h3>\n\n\n\n
                  \n
                1. \u7b49\u91cf\u5173\u7cfb<\/strong> \u2460\u76f8\u5173\u8054\u91cf\u7684\u8868\u793a\u6cd5<\/li>\n<\/ol>\n\n\n\n
                  \u4f8b\uff1a<\/th>\u7532 + \u4e59<\/th>=100<\/th>\u7532\u00f7\u4e59=3<\/th><\/th><\/tr>
                  <\/td>x<\/td>100-x<\/td>3x<\/td>x<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

                  \u2461\u89e3\u65b9\u7a0b\u6280\u5de7 \u6052\u7b49\u53d8\u5f62<\/p>\n\n\n\n

                  2. \u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u7684\u6c42\u89e3<\/strong>\u4ee3\u5165\u6cd5\u3001\u6d88\u5143\u6cd5<\/p>\n\n\n\n

                  3. \u4e0d\u5b9a\u65b9\u7a0b\u7684\u5206\u6790\u6c42\u89e3<\/strong>\u4ee5\u7cfb\u6570\u5927\u8005\u4e3a\u8bd5\u503c\u89d2\u5ea6<\/p>\n\n\n\n

                  4. \u4e0d\u7b49\u65b9\u7a0b\u7684\u5206\u6790\u6c42\u89e3<\/strong><\/p>\n\n\n\n

                  4.\u627e\u89c4\u5f8b<\/strong><\/h3>\n\n\n\n
                    \n
                  1. \u5468\u671f\u6027\u95ee\u9898<\/strong> \u2460 \u5e74\u6708\u65e5\u3001\u661f\u671f\u51e0\u95ee\u9898 \u2461 \u4f59\u6570\u7684\u5e94\u7528<\/li>\n\n\n\n
                  2. \u6570\u5217\u95ee\u9898<\/strong> \u2460 \u7b49\u5dee\u6570\u5217<\/li>\n<\/ol>\n\n\n\n
                    \"\"\/<\/figure>\n\n\n\n

                    \u2461 \u7b49\u6bd4\u6570\u5217<\/p>\n\n\n\n

                    \"\"\/<\/figure>\n\n\n\n

                    \u88f4\u6ce2\u90a3\u5951\u6570\u5217<\/strong><\/p>\n\n\n\n

                    3. \u7b56\u7565\u95ee\u9898<\/strong> \u2460\u62a2\u62a5 30 \u2461\u653e\u786c\u5e01<\/p>\n\n\n\n

                    4. \u6700\u503c\u95ee\u9898<\/strong><\/p>\n\n\n\n

                    \u2460 \u6700\u77ed\u7ebf\u8def<\/p>\n\n\n\n

                      \n
                    1. \u4e00\u4e2a\u5b57\u7b26\u9635\u7ec4\u7684\u5206\u7ebf\u8bfb\u6cd5<\/li>\n\n\n\n
                    2. \u5728\u683c\u5b50\u8def\u7ebf\u4e0a\u7684\u6700\u77ed\u8d70\u6cd5\u6570<\/li>\n<\/ol>\n\n\n\n

                      \u2461 \u6700\u4f18\u5316\u95ee\u9898<\/p>\n\n\n\n

                      a.\u7edf\u7b79\u65b9\u6cd5b.\u70d9\u997c\u95ee\u9898<\/p>\n\n\n\n

                      5. \u7b97\u5f0f\u8c1c<\/strong><\/h3>\n\n\n\n

                      \u2460\u586b\u5145\u578b \u2461\u66ff\u4ee3\u578b \u2462\u586b\u8fd0\u7b97\u7b26\u53f7 \u2463\u6a2a\u5f0f\u53d8\u7ad6\u5f0f \u2464\u7ed3\u5408\u6570\u8bba\u77e5\u8bc6\u70b9<\/p>\n\n\n\n

                      6.\u6570\u9635\u95ee\u9898<\/h3>\n\n\n\n
                        \n
                      1. \u76f8\u7b49\u548c\u503c\u95ee\u9898<\/strong><\/li>\n\n\n\n
                      2. \u6570\u5217\u5206\u7ec4<\/strong> \u2460\u77e5\u884c\u5217\u6570\uff0c\u6c42\u67d0\u6570 \u2461\u77e5\u67d0\u6570\uff0c\u6c42\u884c\u5217\u6570<\/li>\n\n\n\n
                      3. \u5e7b\u65b9<\/strong><\/li>\n<\/ol>\n\n\n\n

                        \u2460\u5947\u9636\u5e7b\u65b9\u95ee\u9898\uff1a \u6768\u8f89\u6cd5\u7f57\u4f2f\u6cd5<\/p>\n\n\n\n

                        \u2461\u5076\u9636\u5e7b\u65b9\u95ee\u9898\uff1a \u53cc\u5076\u9636\uff1a\u5bf9\u79f0\u4ea4\u6362\u6cd5\u5355\u5076\u9636\uff1a\u540c\u5fc3\u65b9\u9635\u6cd5<\/p>\n\n\n\n

                        7. \u4e8c\u8fdb\u5236<\/strong><\/h3>\n\n\n\n
                          \n
                        1. \u4e8c\u8fdb\u5236\u8ba1\u6570\u6cd5<\/strong> \u2460 \u4e8c\u8fdb\u5236\u4f4d\u503c\u539f\u5219 \u2461 \u4e8c\u8fdb\u5236\u6570\u4e0e\u5341\u8fdb\u5236\u6570\u7684\u4e92\u76f8\u8f6c\u5316 \u2462 \u4e8c\u8fdb\u5236\u7684\u8fd0\u7b97<\/li>\n\n\n\n
                        2. \u5176\u5b83\u8fdb\u5236\uff08\u5341\u516d\u8fdb\u5236\uff09<\/strong><\/li>\n<\/ol>\n\n\n\n

                          8. \u4e00\u7b14\u753b<\/strong><\/h3>\n\n\n\n
                            \n
                          1. \u4e00\u7b14\u753b\u5b9a\u7406\uff1a<\/strong> \u2474\u4e00\u7b14\u753b\u56fe\u5f62\u4e2d\u53ea\u80fd\u6709 0 \u4e2a\u6216\u4e24\u4e2a\u5947\u70b9\uff1b \u2475\u4e24\u4e2a\u5947\u70b9\u8fdb\u5fc5\u987b\u4ece\u4e00\u4e2a\u5947\u70b9\u8fdb\uff0c\u53e6\u4e00\u4e2a\u5947\u70b9\u51fa\uff1b<\/li>\n\n\n\n
                          2. \u54c8\u5bc6\u5c14\u987f\u5708\u4e0e\u54c8\u5bc6\u5c14\u987f\u94fe<\/strong><\/li>\n\n\n\n
                          3. \u591a\u7b14\u753b\u5b9a\u7406<\/strong><\/li>\n<\/ol>\n\n\n\n

                            \u7b14\u753b\u6570= \u5947\u70b9\u6570\/2<\/p>\n\n\n\n

                            9. \u903b\u8f91\u63a8\u7406<\/strong><\/h3>\n\n\n\n

                            \u2460\u7b49\u4ef7\u6761\u4ef6\u7684\u8f6c\u6362 \u2461\u5217\u8868\u6cd5 \u2462\u5bf9\u9635\u56fe \u7ade\u8d5b\u95ee\u9898\uff0c\u6d89\u53ca\u4f53\u80b2\u6bd4\u8d5b\u5e38\u8bc6<\/p>\n\n\n\n

                            10. \u706b\u67f4\u68d2\u95ee\u9898<\/strong><\/h3>\n\n\n\n

                            \u2460\u79fb\u52a8\u706b\u67f4\u68d2\u6539\u53d8\u56fe\u5f62\u4e2a\u6570 \u2461\u79fb\u52a8\u706b\u67f4\u68d2\u6539\u53d8\u7b97\u5f0f\uff0c\u4f7f\u4e4b\u6210\u7acb<\/p>\n\n\n\n

                            11. \u667a\u529b\u95ee\u9898<\/strong><\/h3>\n\n\n\n

                            \u2460\u7a81\u7834\u601d\u7ef4\u5b9a\u52bf<\/p>\n\n\n\n

                            \u2461\u67d0\u4e9b\u7279\u6b8a\u60c5\u5883\u95ee\u9898<\/p>\n\n\n\n

                            \u4e03\u3001\u89e3\u9898\u65b9\u6cd5<\/h2>\n\n\n\n

                            \uff08\u7ed3\u5408\u6742\u9898\u7684\u5904\u7406\uff09<\/p>\n\n\n\n

                              \n
                            1. \u4ee3\u6362\u6cd5<\/strong><\/li>\n\n\n\n
                            2. \u6d88\u5143\u6cd5<\/strong><\/li>\n\n\n\n
                            3. \u5012\u63a8\u6cd5<\/strong><\/li>\n\n\n\n
                            4. \u5047\u8bbe\u6cd5<\/strong><\/li>\n\n\n\n
                            5. \u53cd\u8bc1\u6cd5<\/strong><\/li>\n\n\n\n
                            6. \u6781\u503c\u6cd5<\/strong><\/li>\n\n\n\n
                            7. \u8bbe\u6570\u6cd5<\/strong><\/li>\n\n\n\n
                            8. \u6574\u4f53\u6cd5<\/strong><\/li>\n\n\n\n
                            9. \u753b\u56fe\u6cd5<\/strong><\/li>\n\n\n\n
                            10. \u5217\u8868\u6cd5<\/strong><\/li>\n\n\n\n
                            11. \u6392\u9664\u6cd5<\/strong><\/li>\n\n\n\n
                            12. \u67d3\u8272\u6cd5<\/strong><\/li>\n\n\n\n
                            13. \u6784\u9020\u6cd5<\/strong><\/li>\n\n\n\n
                            14. \u914d\u5bf9\u6cd5<\/strong><\/li>\n\n\n\n
                            15. \u5217\u65b9\u7a0b<\/strong><\/li>\n\n\n\n
                            16. \u65b9\u7a0b<\/li>\n\n\n\n
                            17. \u4e0d\u5b9a\u65b9\u7a0b<\/li>\n\n\n\n
                            18. \u4e0d\u7b49\u65b9\u7a0b<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

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