"\u6839\u5de6\u53f3"\u8fd9\u4e09\u4e2a\u5b57\u91cc\u7684"\u5de6""\u53f3"\u6307\u7684\u662f\u6574\u68f5\u5de6\u5b50\u6811\u3001\u6574\u68f5\u53f3\u5b50\u6811，\u800c\u4e14\u6bcf\u4e2a\u5b50\u6811\u5185\u90e8\u9012\u5f52\u5730\u6309\u540c\u6837\u89c4\u5219\u8d70\u3002<\/p>\n
\u56db\u79cd\u904d\u5386\u5bf9\u7167\u3001\u4e24\u5e8f\u5217\u8fd8\u539f\u4e09\u6b65\u6cd5\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\u4e0e\u68ee\u6797\u8f6c\u6362\u516c\u5f0f![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261025104027-6adddc9b5b451.png\")
<\/p>\n
\n
\u4e00\u3001\u56db\u79cd\u904d\u5386\u600e\u4e48\u624b\u7b97（\u4e00\u68f5\u6811\u8dd1\u56db\u904d）<\/h3>\n
\u62ff\u8fd9\u68f5\u6811\u5f53\u4f8b\u5b50，\u56db\u79cd\u904d\u5386\u4e00\u8d77\u7b97：<\/p>\n
\u00a0 \u00a0 \u00a0 a
\n \u00a0 \u00a0 \u00a0 \/ \\\\
\n \u00a0 \u00a0 b \u00a0 c
\n \u00a0 \u00a0 \/ \\\\ \u00a0 \\\\
\n \u00a0 d \u00a0 e \u00a0 f
\n \u00a0 \u00a0 \u00a0 \/
\n \u00a0 \u00a0 g<\/p>\n
\u5148\u5e8f（\u6839\u5de6\u53f3）：\u5148\u8bbf\u95ee a；\u518d\u8d70\u5de6\u5b50\u6811 b\u2014\u2014\u8bbf\u95ee b，\u8d70 b \u7684\u5de6 d（\u8bbf\u95ee d），\u8d70 b \u7684\u53f3 e（\u8bbf\u95ee e，\u518d\u8d70 e \u7684\u5de6 g）；\u6700\u540e\u8d70\u53f3\u5b50\u6811 c\u2014\u2014\u8bbf\u95ee c，\u8d70 c \u7684\u53f3 f\u3002<\/p>\n
a b d e g c f<\/p>\n
\u4e2d\u5e8f（\u5de6\u6839\u53f3）：\u5148\u8d70 a \u7684\u5de6\u5b50\u6811\u2014\u2014b \u7684\u5de6 d（\u8bbf\u95ee d），\u8bbf\u95ee b，\u518d\u8d70 b \u7684\u53f3 e（e \u7684\u5de6 g \u2192 \u8bbf\u95ee g，\u8bbf\u95ee e）；\u8bbf\u95ee a；\u8d70\u53f3\u5b50\u6811 c\u2014\u2014c \u65e0\u5de6，\u8bbf\u95ee c，\u8d70 c \u7684\u53f3 f\u3002<\/p>\n
d b g e a c f<\/p>\n
\u540e\u5e8f（\u5de6\u53f3\u6839）：d；（g, e）；b；f；c；a<\/p>\n
d g e b f c a<\/p>\n
\u5c42\u6b21：\u4e00\u5c42\u4e00\u5c42，\u4ece\u5de6\u5230\u53f3<\/p>\n
a b c d e f g<\/p>\n
\u624b\u7b97\u6280\u5de7：\u4e0d\u8981\u8bd5\u56fe\u4e00\u6b21\u5199\u5b8c\u6574\u4e2a\u5e8f\u5217\u3002\u5bf9\u6bcf\u4e2a\u7ed3\u70b9，\u53ea\u5728\u5fc3\u91cc\u8bb0\u4f4f"\u6211\u73b0\u5728\u5728\u8d70\u5b83\u7684\u54ea\u4e00\u90e8\u5206"，\u9012\u5f52\u5f80\u4e0b\u3002\u7ec3\u4e09\u68f5\u6811\u5c31\u719f\u4e86\u3002<\/p>\n
\n
\u4e8c\u3001\u4e09\u6761\u6027\u8d28（\u9009\u62e9\u9898\u76f4\u63a5\u5957）<\/h3>\n
\u2460 \u5148\u5e8f\u5e8f\u5217 == \u4e2d\u5e8f\u5e8f\u5217？ \u90a3\u6240\u6709\u975e\u53f6\u7ed3\u70b9\u53ea\u6709\u53f3\u5b50\u6811\u3002<\/p>\n
\u9053\u7406：\u5148\u5e8f\u662f"\u6839\u5de6\u53f3"，\u4e2d\u5e8f\u662f"\u5de6\u6839\u53f3"\u3002\u8981\u8ba9\u4e24\u8005\u76f8\u540c，\u6bcf\u4e2a\u7ed3\u70b9\u7684"\u5de6"\u5fc5\u987b\u4e3a\u7a7a \u2192 \u53ea\u6709\u53f3\u5b50\u6811\u3002（\u771f\u9898 408 \u771f\u9898 2017 \u5e74\u7b2c 4 \u9898，\u7b54\u6848 B）<\/p>\n
\u53cd\u8fc7\u6765：\u4e2d\u5e8f == \u540e\u5e8f \u2192 \u6240\u6709\u975e\u53f6\u7ed3\u70b9\u53ea\u6709\u5de6\u5b50\u6811\u3002<\/p>\n
\u2461 \u4e2d\u5e8f\u5e8f\u5217\u91cc，\u76f8\u90bb\u7684\u4e24\u4e2a\u7ed3\u70b9 p\u3001q（p \u5728\u524d）：<\/p>\n
- \n
- \n
q \u662f p \u7684\u53cc\u4eb2 \u2014\u2014 \u53ef\u80fd<\/p>\n<\/li>\n
- \n
q \u662f p \u7684\u53f3\u5b69\u5b50 \u2014\u2014 \u53ef\u80fd<\/p>\n<\/li>\n
- \n
q \u662f p \u7684\u53cc\u4eb2\u7684\u53cc\u4eb2 \u2014\u2014 \u53ef\u80fd<\/p>\n<\/li>\n
- \n
q \u662f p \u7684\u53f3\u5144\u5f1f \u2014\u2014 \u4e0d\u53ef\u80fd<\/p>\n<\/li>\n<\/ul>\n
\u6700\u540e\u4e00\u6761\u4e3a\u4ec0\u4e48\u4e0d\u53ef\u80fd？\u56e0\u4e3a\u4e2d\u5e8f\u662f"\u5de6\u6839\u53f3"，p \u548c\u5b83\u7684\u53f3\u5144\u5f1f q \u4e4b\u95f4\u4e00\u5b9a\u5939\u7740\u5b83\u4eec\u7684\u7236\u7ed3\u70b9\u3002（\u771f\u9898 408 \u771f\u9898 2022 \u5e74\u7b2c 3 \u9898，\u7b54\u6848 B \u4ec5 III）<\/p>\n
\u2462 \u4e2d\u5e8f\u5e8f\u5217\u91cc，\u82e5 v \u6709\u4e24\u4e2a\u5b69\u5b50，\u5219\u5b83\u524d\u4e00\u4e2a\u7ed3\u70b9 p \u4e00\u5b9a\u6ca1\u6709\u53f3\u5b69\u5b50，\u540e\u4e00\u4e2a\u7ed3\u70b9 q \u4e00\u5b9a\u6ca1\u6709\u5de6\u5b69\u5b50\u3002<\/p>\n
\u7406\u7531：p \u82e5\u6709\u53f3\u5b69\u5b50，p \u548c v \u4e4b\u95f4\u8fd8\u4f1a\u63d2\u5165\u522b\u7684\u7ed3\u70b9，\u5c31\u4e0d\u76f8\u90bb\u4e86\u3002q \u540c\u7406\u3002（\u771f\u9898 408 \u771f\u9898 2024 \u5e74\u7b2c 3 \u9898，\u7b54\u6848 A）<\/p>\n
\n\u4e09\u3001\u7531\u4e24\u4e2a\u5e8f\u5217\u8fd8\u539f\u4e8c\u53c9\u6811（\u4e09\u6b65\u6cd5）<\/h3>\n
\u8fd9\u662f\u672c\u8282\u6700\u503c\u94b1\u7684\u90e8\u5206\u3002\u89c4\u5219\u4e00\u53e5\u8bdd：<\/p>\n
\u5148\u5e8f（\u6216\u540e\u5e8f）\u7528\u6765\u627e\u6839，\u4e2d\u5e8f\u7528\u6765\u5207\u5de6\u53f3\u3002<\/p>\n
\u4e09\u6b65\u6cd5（\u4ee5\u5148\u5e8f + \u4e2d\u5e8f\u4e3a\u4f8b）：<\/p>\n
- \n
\u5148\u5e8f\u7684\u7b2c\u4e00\u4e2a\u5c31\u662f\u6574\u68f5\u6811\u7684\u6839<\/p>\n<\/li>\n
- \n
\u5728\u4e2d\u5e8f\u91cc\u627e\u5230\u8fd9\u4e2a\u6839，\u5b83\u5de6\u8fb9\u7684\u662f\u5de6\u5b50\u6811\u3001\u53f3\u8fb9\u7684\u662f\u53f3\u5b50\u6811<\/p>\n<\/li>\n
- \n
\u6570\u51fa\u5de6\u53f3\u5b50\u6811\u5404\u6709\u51e0\u4e2a\u7ed3\u70b9，\u56de\u5230\u5148\u5e8f\u91cc\u628a\u5e8f\u5217\u5207\u6210\u4e24\u6bb5，\u9012\u5f52\u91cd\u590d<\/p>\n<\/li>\n
\u771f\u9898 408 \u771f\u9898 2021 \u5e74\u7b2c 4 \u9898（\u5148\u5e8f + \u4e2d\u5e8f \u2192 \u68ee\u6797\u6709\u51e0\u68f5\u6811）：<\/p>\n
\u68ee\u6797 F \u5bf9\u5e94\u7684\u4e8c\u53c9\u6811 T，T \u7684\u5148\u5e8f a,b,d,c,e,g,f，\u4e2d\u5e8f b,d,a,e,g,c,f，F \u4e2d\u6811\u7684\u68f5\u6570\u662f？<\/p>\n
\u7b2c\u4e00\u6b65：\u5148\u5e8f\u9996\u5b57\u7b26 a \u662f T \u7684\u6839\u3002 \u7b2c\u4e8c\u6b65：\u4e2d\u5e8f\u91cc a \u7684\u5de6\u8fb9\u662f b,d（a \u7684\u5de6\u5b50\u6811），\u53f3\u8fb9\u662f e,g,c,f（a \u7684\u53f3\u5b50\u6811）\u3002<\/p>\n
- \n
- \n
\u5de6\u5b50\u6811：\u4e2d\u5e8f b,d，\u5148\u5e8f\u5bf9\u5e94 b,d \u2192 b \u4e3a\u6839，d \u662f b \u7684\u53f3\u5b69\u5b50（\u4e2d\u5e8f\u91cc d \u5728 b \u53f3\u8fb9）<\/p>\n<\/li>\n
- \n
\u53f3\u5b50\u6811：\u4e2d\u5e8f e,g,c,f，\u5148\u5e8f\u5bf9\u5e94 c,e,g,f \u2192 c \u4e3a\u6839；\u4e2d\u5e8f\u91cc c \u5de6\u8fb9 e,g\u3001\u53f3\u8fb9 f<\/p>\n
- \n
- \n
c \u7684\u5de6\u5b50\u6811：\u4e2d\u5e8f e,g，\u5148\u5e8f e,g \u2192 e \u4e3a\u6839，g \u662f e \u7684\u53f3\u5b69\u5b50<\/p>\n<\/li>\n
- \n
c \u7684\u53f3\u5b50\u6811：f<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\u8fd8\u539f\u51fa\u6765\u7684 T：<\/p>\n
\u00a0 \u00a0 \u00a0 a
\n \u00a0 \u00a0 \u00a0 \/ \\\\
\n \u00a0 \u00a0 b \u00a0 c
\n \u00a0 \u00a0 \u00a0 \\\\ \/\\\\
\n \u00a0 \u00a0 \u00a0 d e f
\n \u00a0 \u00a0 \u00a0 \u00a0 \\\\
\n \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 g<\/p>\n\u68ee\u6797\u7684\u68f5\u6570 = \u4e8c\u53c9\u6811\u6839\u7ed3\u70b9\u53f3\u94fe\u4e0a\u7684\u7ed3\u70b9\u4e2a\u6570：\u4ece a \u5f80\u53f3\u8d70 \u2192 a \u2192 c \u2192 f，\u5171 3 \u4e2a\u3002<\/p>\n
\u7b54\u6848 C：3\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2020 \u5e74\u7b2c 4 \u9898（\u68ee\u6797\u7684\u904d\u5386 \u2192 \u4e8c\u53c9\u6811\u7684\u904d\u5386）：<\/p>\n
\u68ee\u6797 F \u5148\u6839 a,b,c,d,e,f，\u4e2d\u6839 b,a,d,f,e,c，\u5219\u5bf9\u5e94\u4e8c\u53c9\u6811 T \u7684\u540e\u6839\u5e8f\u5217\u662f？<\/p>\n
\u5173\u952e\u6362\u7b97（\u80cc\u4e0b\u6765）：<\/p>\n
\n
\u68ee\u6797 F\u5bf9\u5e94\u4e8c\u53c9\u6811 T<\/tr>\n \n\n \u5148\u6839\u904d\u5386<\/td>\n \u5148\u5e8f\u904d\u5386<\/td>\n<\/tr>\n \n \u4e2d\u6839\u904d\u5386（\u540e\u6839\u904d\u5386\u68ee\u6797）<\/td>\n \u4e2d\u5e8f\u904d\u5386<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u6240\u4ee5 T \u7684\u5148\u5e8f = a,b,c,d,e,f，\u4e2d\u5e8f = b,a,d,f,e,c\u3002\u6309\u4e09\u6b65\u6cd5\u8fd8\u539f：<\/p>\n
- \n
- \n
\u6839 a；\u4e2d\u5e8f\u91cc a \u5de6 b\u3001\u53f3 d,f,e,c<\/p>\n<\/li>\n
- \n
\u53f3\u5b50\u6811：\u5148\u5e8f c,d,e,f，\u4e2d\u5e8f d,f,e,c \u2192 c \u4e3a\u6839，\u4e2d\u5e8f\u91cc c \u5de6\u8fb9 d,f,e\u3001\u53f3\u8fb9\u7a7a<\/p>\n
- \n
- \n
c \u7684\u5de6\u5b50\u6811：\u5148\u5e8f d,e,f，\u4e2d\u5e8f d,f,e \u2192 d \u4e3a\u6839，\u4e2d\u5e8f\u91cc d \u5de6\u8fb9\u7a7a\u3001\u53f3\u8fb9 f,e<\/p>\n
- \n
- \n
d \u7684\u53f3\u5b50\u6811：\u5148\u5e8f e,f，\u4e2d\u5e8f f,e \u2192 e \u4e3a\u6839，f \u662f e \u7684\u5de6\u5b69\u5b50<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\u540e\u5e8f\u904d\u5386\u8fd9\u68f5\u6811：b, f, e, d, c, a<\/p>\n
\u7b54\u6848 C\u3002<\/p>\n
\n\u56db\u3001\u4e3a\u4ec0\u4e48\u5148\u5e8f + \u540e\u5e8f\u4e0d\u80fd\u552f\u4e00\u786e\u5b9a（\u91cd\u70b9）<\/h3>\n
\u5148\u5e8f\u662f"\u6839\u5de6\u53f3"，\u540e\u5e8f\u662f"\u5de6\u53f3\u6839"\u3002\u4e24\u4e2a\u5e8f\u5217\u91cc\u6839\u90fd\u5728\u4e24\u7aef\u2014\u2014\u5148\u5e8f\u9996\u4e2a\u3001\u540e\u5e8f\u672b\u4e2a\u3002\u4f46\u5149\u9760\u4e24\u7aef，\u5206\u4e0d\u51fa\u5de6\u53f3\u5b50\u6811\u7684\u5206\u754c\u5728\u54ea，\u8fd9\u5c31\u662f\u4e0d\u80fd\u552f\u4e00\u786e\u5b9a\u7684\u539f\u56e0\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2012 \u5e74\u7b2c 3 \u9898：<\/p>\n
\u5148\u5e8f a,e,b,d,c，\u540e\u5e8f b,c,d,e,a，\u6839\u7ed3\u70b9\u7684\u5b69\u5b50\u7ed3\u70b9\u662f？<\/p>\n
- \n
- \n
\u5148\u5e8f\u9996 = \u540e\u5e8f\u672b = a，a \u662f\u6839<\/p>\n<\/li>\n
- \n
\u5269\u4e0b：\u5148\u5e8f e,b,d,c，\u540e\u5e8f b,c,d,e<\/p>\n<\/li>\n<\/ul>\n
\u5224\u65ad"e \u662f\u4e0d\u662f a \u552f\u4e00\u7684\u5b69\u5b50"：\u770b\u5269\u4e0b\u8fd9\u6bb5\u7684\u5148\u5e8f\u9996（e）\u548c\u540e\u5e8f\u672b（e）\u2014\u2014\u540c\u4e00\u4e2a e \u5206\u522b\u5360\u636e\u4e24\u7aef，\u8bf4\u660e e \u662f\u8fd9\u68f5\u5b50\u6811\u7684\u6839，\u800c b,d,c \u5168\u5728\u5b83\u7684\u5b50\u6811\u91cc\u3002\u6240\u4ee5 a \u7684\u5b69\u5b50\u53ea\u6709 e\u3002<\/p>\n
\u7b54\u6848 A：\u53ea\u6709 e\u3002<\/p>\n
\u4e00\u6761\u5f88\u597d\u7528\u7684\u63a8\u8bba：\u5728\u4e24\u4e2a\u5e8f\u5217\u91cc，\u82e5\u7247\u6bb5 XY\u2026 \u5728\u5148\u5e8f\u4e2d X \u5728 Y \u524d，\u800c\u5728\u540e\u5e8f\u4e2d Y \u5728 X \u524d（\u5373 \u2026YX），\u5219 X \u662f Y \u7684\u7956\u5148\u3002<\/p>\n
\u56de\u5230\u5f00\u5934\u90a3\u9053 2011(5)：\u5148\u5e8f 1,2,3,4 \u4e0e\u540e\u5e8f 4,3,2,1 \u5b8c\u5168\u4e92\u9006 \u2192 \u4efb\u4f55\u7ed3\u70b9\u90fd\u4e0d\u53ef\u80fd\u540c\u65f6\u6709\u5de6\u53f3\u5b69\u5b50 \u2192 \u6811\u662f\u5355\u94fe\u3002\u9009\u9879 C 3,2,4,1 \u8981\u6c42 2 \u540c\u65f6\u6709\u5de6\u5b69\u5b50 3 \u548c\u53f3\u5b69\u5b50 4，\u77db\u76fe\u3002<\/p>\n
\u7b54\u6848 C\u3002<\/p>\n
\n\u4e94\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\u7684\u4e24\u7c7b\u8ba1\u7b97<\/h3>\n
\u5b8c\u5168\u4e8c\u53c9\u6811：\u6309\u5c42\u6b21\u7f16\u53f7，\u4ece\u4e0a\u5230\u4e0b\u3001\u4ece\u5de6\u5230\u53f3，\u7f16\u53f7\u662f\u8fde\u7eed\u7684 1~n，\u4e2d\u95f4\u4e0d\u8df3\u53f7\u3002<\/p>\n
\u6027\u8d28 1：\u7f16\u53f7\u4e3a i \u7684\u7ed3\u70b9，\u5de6\u5b69\u5b50 2i\u3001\u53f3\u5b69\u5b50 2i+1\u3001\u7236\u7ed3\u70b9 \u230ai\/2\u230b\u3002 \u6027\u8d28 2：\u6700\u540e\u4e00\u4e2a\u5206\u652f\u7ed3\u70b9\u662f \u230an\/2\u230b，\u5b83\u4e4b\u540e\u5168\u662f\u53f6\u5b50\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2011 \u5e74\u7b2c 4 \u9898：<\/p>\n
\u5b8c\u5168\u4e8c\u53c9\u6811\u6709 768 \u4e2a\u7ed3\u70b9，\u53f6\u7ed3\u70b9\u4e2a\u6570\u662f？<\/p>\n
\u6700\u540e\u5206\u652f\u7ed3\u70b9 = \u230a768\/2\u230b = 384，\u6240\u4ee5\u53f6\u5b50 = 768 \u2212 384 = 384\u3002<\/p>\n
\u7b54\u6848 C\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2009 \u5e74\u7b2c 5 \u9898（\u53cd\u7740\u8003）：<\/p>\n
\u5b8c\u5168\u4e8c\u53c9\u6811\u7b2c 6 \u5c42（\u6839\u4e3a\u7b2c 1 \u5c42）\u6709 8 \u4e2a\u53f6\u7ed3\u70b9，\u7ed3\u70b9\u4e2a\u6570\u6700\u591a\u662f？<\/p>\n
\u8981\u8ba9\u603b\u6570\u6700\u591a，\u6811\u8981\u5c3d\u53ef\u80fd\u9ad8\u3002\u7b2c 6 \u5c42\u6709\u53f6\u5b50\u8bf4\u660e\u6811\u9ad8\u53ef\u80fd\u662f 6 \u6216 7，\u53d6 7 \u66f4\u9ad8\u66f4\u591a\u3002<\/p>\n
- \n
- \n
\u524d 6 \u5c42\u662f\u6ee1\u7684：2\u2076 \u2212 1 = 63 \u4e2a<\/p>\n<\/li>\n
- \n
\u7b2c 6 \u5c42\u5171\u6709 2\u2075 = 32 \u4e2a\u7ed3\u70b9，\u5176\u4e2d 8 \u4e2a\u662f\u53f6\u5b50 \u2192 \u5269\u4e0b 24 \u4e2a\u5404\u5e26 2 \u4e2a\u5b69\u5b50 \u2192 \u7b2c 7 \u5c42\u6709 48 \u4e2a<\/p>\n<\/li>\n<\/ul>\n
\u603b\u6570 = 63 + 48 = 111<\/p>\n
\u7b54\u6848 C\u3002<\/p>\n
（\u53e6\u4e00\u79cd\u7b97\u6cd5：\u9ad8 7 \u7684\u6ee1\u4e8c\u53c9\u6811\u6709 127 \u4e2a，\u7b2c 6 \u5c42\u7684 8 \u4e2a\u53f6\u5b50\u5404\u5c11\u4e86 2 \u4e2a\u5b69\u5b50 \u2192 127 \u2212 16 = 111）<\/p>\n
\u26a0\ufe0f \u4e00\u4e2a\u9ad8\u9891\u9677\u9631：\u5b8c\u5168\u4e8c\u53c9\u6811\u53ef\u4ee5\u6709\u5ea6\u4e3a 1 \u7684\u7ed3\u70b9（\u6bd4\u5982\u53ea\u6709 2 \u4e2a\u7ed3\u70b9\u65f6，\u6839\u5ea6\u4e3a 1）\u30022025(4) \u7684 A \u9009\u9879\u5c31\u662f\u62ff\u8fd9\u4e2a\u6316\u5751\u3002<\/p>\n
\n\u516d\u3001\u6811\u7684\u5ea6\u4e0e\u7ed3\u70b9\u6570（\u4e00\u4e2a\u516c\u5f0f\u6253\u5929\u4e0b）<\/h3>\n
\u6838\u5fc3\u516c\u5f0f（\u4efb\u4f55\u6811\u90fd\u6210\u7acb）：<\/p>\n
\u7ed3\u70b9\u603b\u6570 N = 1 + \u03a3 (i \u00d7 n\u1d62) \u00a0 \u00a0 \u00a0 n\u1d62 \u8868\u793a\u5ea6\u4e3a i \u7684\u7ed3\u70b9\u4e2a\u6570<\/p>\n
\u56e0\u4e3a\u603b\u5ea6\u6570 = N \u2212 1（\u9664\u6839\u4ee5\u5916，\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u6709\u4e00\u6761\u8fb9\u8fde\u7740\u7236\u7ed3\u70b9）\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2010 \u5e74\u7b2c 5 \u9898：<\/p>\n
\u5ea6\u4e3a 4 \u7684\u6811，\u6709 20 \u4e2a\u5ea6\u4e3a 4 \u7684\u7ed3\u70b9\u300110 \u4e2a\u5ea6\u4e3a 3 \u7684\u30011 \u4e2a\u5ea6\u4e3a 2 \u7684\u300110 \u4e2a\u5ea6\u4e3a 1 \u7684，\u53f6\u7ed3\u70b9（\u5ea6 0）\u6709\u51e0\u4e2a？<\/p>\n
\u603b\u5ea6\u6570 = 4\u00d720 + 3\u00d710 + 2\u00d71 + 1\u00d710 = 80 + 30 + 2 + 10 = 122
\nN = 122 + 1 = 123
\n\u53f6\u7ed3\u70b9 n\u2080 = 123 \u2212 (20 + 10 + 1 + 10) = 123 \u2212 41 = 82<\/p>\n\u7b54\u6848 B：82\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2022 \u5e74\u7b2c 4 \u9898（\u63a8\u5e7f\u5230\u4e09\u53c9\u6811）：<\/p>\n
\u4e09\u53c9\u6811\u6709 244 \u4e2a\u7ed3\u70b9，\u9ad8\u5ea6\u81f3\u5c11\u662f\u591a\u5c11？<\/p>\n
\u9ad8\u5ea6\u4e3a h \u7684\u4e09\u53c9\u6811，\u7ed3\u70b9\u6570\u6700\u591a\u662f (3\u02b0 \u2212 1)\/2：<\/p>\n
h = 5 \u2192 (243 \u2212 1)\/2 = 121 < 244
\nh = 6 \u2192 (729 \u2212 1)\/2 = 364 \u2265 244<\/p>\n\u7b54\u6848 C：6\u3002<\/p>\n
\u4e8c\u53c9\u6811\u7248\u672c（\u6700\u5e38\u7528）：\u9ad8\u5ea6\u4e3a h \u7684\u4e8c\u53c9\u6811\u6700\u591a 2\u02b0 \u2212 1 \u4e2a\u7ed3\u70b9\u3002<\/p>\n
\n\u4e03\u3001\u68ee\u6797\u4e0e\u4e8c\u53c9\u6811\u7684\u8f6c\u6362：\u5de6\u5b69\u5b50\u53f3\u5144\u5f1f<\/h3>\n
\u8f6c\u6362\u89c4\u5219（\u5c31\u4e00\u53e5\u8bdd）：\u7b2c\u4e00\u4e2a\u5b69\u5b50\u5f53\u5de6\u5b69\u5b50，\u5144\u5f1f\u5f53\u53f3\u5b69\u5b50\u3002<\/p>\n
\u4e09\u6761\u63a8\u8bba（\u90fd\u662f\u771f\u9898）：<\/p>\n
\u2460 \u68ee\u6797\u7684\u53f6\u5b50\u6570 = \u4e8c\u53c9\u6811\u4e2d"\u5de6\u5b69\u5b50\u6307\u9488\u4e3a\u7a7a"\u7684\u7ed3\u70b9\u6570<\/p>\n
\u53f6\u5b50\u6ca1\u6709\u5b69\u5b50，\u8f6c\u6210\u4e8c\u53c9\u6811\u540e\u5c31\u6ca1\u6709\u5de6\u5b69\u5b50\u3002（\u771f\u9898 408 \u771f\u9898 2014 \u5e74\u7b2c 5 \u9898，\u7b54\u6848 C）<\/p>\n
\u2461 \u6811\u7684\u5206\u652f\u7ed3\u70b9\u6570 + 1 = \u5bf9\u5e94\u4e8c\u53c9\u6811\u4e2d"\u65e0\u53f3\u5b69\u5b50"\u7684\u7ed3\u70b9\u6570<\/p>\n
\u6bcf\u4e2a\u5206\u652f\u7ed3\u70b9\u7684\u6700\u53f3\u90a3\u4e2a\u5b69\u5b50\u6ca1\u6709\u53f3\u5144\u5f1f（\u65e0\u53f3\u5b69\u5b50），\u53e6\u5916\u6839\u7ed3\u70b9\u8f6c\u6362\u540e\u4e5f\u6ca1\u6709\u53f3\u5b69\u5b50\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2011 \u5e74\u7b2c 6 \u9898：<\/p>\n
2011 \u4e2a\u7ed3\u70b9\u7684\u6811，116 \u4e2a\u53f6\u7ed3\u70b9，\u5bf9\u5e94\u4e8c\u53c9\u6811\u4e2d\u65e0\u53f3\u5b69\u5b50\u7684\u7ed3\u70b9\u6570\u662f？<\/p>\n
\u5206\u652f\u7ed3\u70b9 = 2011 \u2212 116 = 1895，\u52a0\u6839\u7ed3\u70b9 \u2192 1896\u3002<\/p>\n
\u7b54\u6848 D\u3002<\/p>\n
\u2462 \u68ee\u6797\u4e2d\u6811\u7684\u68f5\u6570 = \u4e8c\u53c9\u6811\u6839\u7ed3\u70b9\u53f3\u94fe\u4e0a\u7684\u7ed3\u70b9\u4e2a\u6570（\u89c1\u7b2c\u4e09\u8282 2021(4)）<\/p>\n
\u771f\u9898 408 \u771f\u9898 2009 \u5e74\u7b2c 6 \u9898（\u53cd\u5411\u63a8\u5bfc）：<\/p>\n
\u4e8c\u53c9\u6811\u4e2d u \u662f v \u7684\u7236\u7ed3\u70b9\u7684\u7236\u7ed3\u70b9，\u5219\u539f\u68ee\u6797\u4e2d u \u548c v \u7684\u5173\u7cfb\u53ef\u80fd\u662f？ I. \u7236\u5b50 II. \u5144\u5f1f III. u \u7684\u7236\u4e0e v \u7684\u7236\u662f\u5144\u5f1f<\/p>\n
- \n
- \n
I \u53ef\u80fd：v \u662f u \u7684\u7b2c\u4e8c\u4e2a\u5b69\u5b50 \u2192 \u8f6c\u6362\u540e v \u6210\u4e86 u \u7b2c\u4e00\u4e2a\u5b69\u5b50\u7684\u53f3\u5b69\u5b50，\u6b63\u597d\u662f"\u7236\u7684\u7236"<\/p>\n<\/li>\n
- \n
II \u53ef\u80fd：u\u3001v \u662f\u5144\u5f1f\u4e14\u4e2d\u95f4\u8fd8\u6709\u4e2a\u5144\u5f1f k \u2192 \u8f6c\u6362\u540e v \u662f k \u7684\u53f3\u5b69\u5b50\u3001k \u662f u \u7684\u53f3\u5b69\u5b50<\/p>\n<\/li>\n
- \n
III \u4e0d\u53ef\u80fd：\u90a3\u6837 u \u548c v \u4f1a\u843d\u5728\u4e24\u68f5\u4e0d\u540c\u5b50\u6811\u91cc，\u4e0d\u53ef\u80fd\u5728\u540c\u4e00\u6761\u8def\u5f84\u4e0a<\/p>\n<\/li>\n<\/ul>\n
\u7b54\u6848 B：I \u548c II\u3002<\/p>\n
\n\u516b\u3001\u7ebf\u7d22\u4e8c\u53c9\u6811：\u7ebf\u7d22\u6307\u5411\u8c01<\/h3>\n
\u7ebf\u7d22：\u628a\u7ed3\u70b9\u91cc\u7a7a\u7684\u6307\u9488\u57df\u5229\u7528\u8d77\u6765，\u6307\u5411\u5b83\u5728\u67d0\u79cd\u904d\u5386\u5e8f\u5217\u91cc\u7684\u524d\u9a71\u6216\u540e\u7ee7\u3002\u5de6\u7a7a\u6307\u9488\u6307\u5411\u524d\u9a71（\u5de6\u7ebf\u7d22），\u53f3\u7a7a\u6307\u9488\u6307\u5411\u540e\u7ee7（\u53f3\u7ebf\u7d22）\u3002<\/p>\n
\u505a\u9898\u65b9\u6cd5（\u4e07\u80fd）：\u5148\u5199\u51fa\u904d\u5386\u5e8f\u5217，\u518d\u770b\u8fd9\u4e2a\u7ed3\u70b9\u5728\u5e8f\u5217\u91cc\u7684\u524d\u4e00\u4e2a\u662f\u8c01\u3001\u540e\u4e00\u4e2a\u662f\u8c01\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2014 \u5e74\u7b2c 4 \u9898：<\/p>\n
\u67d0\u4e8c\u53c9\u6811\u4e2d\u5e8f\u7ebf\u7d22\u5316，\u7ed3\u70b9 x \u7684\u5de6\u3001\u53f3\u7ebf\u7d22\u5206\u522b\u6307\u5411？<\/p>\n
\u5148\u5199\u51fa\u4e2d\u5e8f\u5e8f\u5217（\u9898\u76ee\u89e3\u6790\u7ed9\u51fa）：d e b x a c\u3002x \u7684\u524d\u4e00\u4e2a\u662f b，\u540e\u4e00\u4e2a\u662f a\u3002<\/p>\n
\u7b54\u6848 D：b\u3001a\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2013 \u5e74\u7b2c 5 \u9898（\u7eaf\u6982\u5ff5，\u4e0d\u7528\u56fe）：<\/p>\n
X \u662f\u540e\u5e8f\u7ebf\u7d22\u4e8c\u53c9\u6811\u4e2d\u7684\u53f6\u7ed3\u70b9，\u4e14 X \u6709\u5de6\u5144\u5f1f Y，\u5219 X \u7684\u53f3\u7ebf\u7d22\u6307\u5411？<\/p>\n
X \u662f\u53f6\u5b50\u4e14\u6709\u5de6\u5144\u5f1f \u2192 X \u662f\u53f3\u5b69\u5b50\u3002\u540e\u5e8f\u904d\u5386\u662f"\u5de6\u53f3\u6839"，X \u4f5c\u4e3a\u53f6\u5b50\u5148\u88ab\u8bbf\u95ee，\u63a5\u7740\u8bbf\u95ee\u7684\u662f\u5b83\u7684\u7236\u7ed3\u70b9（\u56e0\u4e3a X \u6ca1\u6709\u53f3\u5b50\u6811，X \u8fd9\u4e00\u5c0f\u652f\u5c31\u8d70\u5b8c\u4e86）\u3002<\/p>\n
\u6240\u4ee5 X \u7684\u540e\u5e8f\u540e\u7ee7 = \u7236\u7ed3\u70b9\u3002<\/p>\n
\u7b54\u6848 A\u3002<\/p>\n
\n\u4e5d\u3001\u4e8c\u53c9\u6811\u7684\u987a\u5e8f\u5b58\u50a8<\/h3>\n
\u89c4\u5219：\u6309\u5b8c\u5168\u4e8c\u53c9\u6811\u7684\u7f16\u53f7\u65b9\u5f0f\u5b58\u8fdb\u6570\u7ec4\u2014\u2014\u7f16\u53f7 i \u7684\u7ed3\u70b9\u653e\u5728\u4e0b\u6807 i（\u6216 i\u22121，\u770b\u9898\u76ee\u4ece 0 \u8fd8\u662f 1 \u5f00\u59cb），\u4e0d\u5b58\u5728\u7684\u7ed3\u70b9\u4e5f\u8981\u5360\u4f4d\u7f6e\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2020 \u5e74\u7b2c 3 \u9898：<\/p>\n
\u4efb\u610f\u4e00\u68f5\u9ad8\u5ea6\u4e3a 5\u3001\u6709 10 \u4e2a\u7ed3\u70b9\u7684\u4e8c\u53c9\u6811，\u987a\u5e8f\u5b58\u50a8\u81f3\u5c11\u8981\u591a\u5c11\u5b58\u50a8\u5355\u5143？<\/p>\n
\u56e0\u4e3a\u8981"\u4efb\u610f"\u2014\u2014\u6700\u574f\u60c5\u51b5\u4e0b\u7f16\u53f7\u8981\u6491\u6ee1 5 \u5c42，\u6240\u4ee5\u6309\u9ad8 5 \u7684\u6ee1\u4e8c\u53c9\u6811\u7b97：<\/p>\n
1 + 2 + 4 + 8 + 16 = 31<\/p>\n
\u7b54\u6848 A：31\u3002<\/p>\n
\u26a0\ufe0f \u6ce8\u610f\u8fd9\u91cc\u95ee\u7684\u662f"\u81f3\u5c11\u9700\u8981\u591a\u5c11\u624d\u80fd\u4fdd\u8bc1\u4efb\u610f\u60c5\u51b5\u90fd\u80fd\u5b58"，\u4e0d\u662f"\u8fd9\u68f5\u6811\u5b9e\u9645\u5360\u591a\u5c11"\u3002<\/p>\n
\u771f\u9898 408 \u771f\u9898 2025 \u5e74\u7b2c 3 \u9898（\u53cd\u5411：\u7ed9\u6570\u7ec4，\u5224\u65ad\u80fd\u4e0d\u80fd\u8868\u793a\u4e8c\u53c9\u6811）：<\/p>\n
\u7528 \u22121 \u8868\u793a\u7ed3\u70b9\u4e0d\u5b58\u5728，\u54ea\u4e2a\u6570\u7ec4\u4e0d\u80fd\u8868\u793a\u4e00\u68f5\u4e8c\u53c9\u6811？<\/p>\n
\u89c4\u5219\u5f88\u7b80\u5355：\u9664\u4e86\u6839\u4ee5\u5916，\u4efb\u4f55\u975e \u22121 \u7684\u7ed3\u70b9，\u5b83\u7684\u7236\u7ed3\u70b9\u5fc5\u987b\u5b58\u5728（\u4e0d\u80fd\u662f \u22121）\u3002\u7236\u7ed3\u70b9\u4e0b\u6807 = \u230a(i\u22121)\/2\u230b（\u6570\u7ec4\u4ece 0 \u5f00\u59cb\u65f6）\u3002<\/p>\n
\u9009\u9879 D：R[] = {17, 20, 35, -1, 18, 45, -1, -1, 19, 27}<\/p>\n
\u4e0b\u6807 8 \u7684\u503c\u662f 19（\u5b58\u5728），\u5b83\u7684\u7236\u7ed3\u70b9\u4e0b\u6807 = \u230a(8\u22121)\/2\u230b = 3，\u800c R[3] = \u22121（\u7236\u7ed3\u70b9\u4e0d\u5b58\u5728）\u2192 \u8fdd\u53cd\u89c4\u5219\u3002<\/p>\n
\u7b54\u6848 D\u3002<\/p>\n
\n\u5341\u300125 \u9053\u9898\u8003\u5728\u54ea（\u6811\u4e0e\u4e8c\u53c9\u6811\u904d\u5386\u7c7b）<\/h3>\n
\u672c\u6587\u5f15\u7528\u7684\u9898\u5e93\u4e2d，\u6807\u7b7e\u5c5e\u4e8e\u4e8c\u53c9\u6811\u904d\u5386 \/ \u6811\u7684\u6982\u5ff5 \/ \u5b8c\u5168\u4e8c\u53c9\u6811 \/ \u68ee\u6797\u8f6c\u6362 \/ \u7ebf\u7d22\u4e8c\u53c9\u6811 \/ \u4e8c\u53c9\u6811\u5b58\u50a8\u7684\u5355\u9009\u5171 25 \u9053：<\/p>\n
\n
\u5e74\u4efd\u9898\u53f7\u8003\u70b9\u7b54\u6848<\/tr>\n \n\n 2009(3)<\/td>\n \u904d\u5386\u65b9\u5f0f\u53d8\u4f53（RNL \u7b49）<\/td>\n D<\/td>\n<\/tr>\n \n 2009(5)<\/td>\n \u5b8c\u5168\u4e8c\u53c9\u6811\u7ed3\u70b9\u6570\u53cd\u63a8<\/td>\n C 111<\/td>\n<\/tr>\n \n 2009(6)<\/td>\n \u68ee\u6797\u8f6c\u6362\u540e\u7ed3\u70b9\u5173\u7cfb<\/td>\n B<\/td>\n<\/tr>\n \n 2010(3)<\/td>\n \u540e\u5e8f\u7ebf\u7d22\u6811（\u9700\u56fe）<\/td>\n D<\/td>\n<\/tr>\n \n 2010(5)<\/td>\n \u5ea6\u4e0e\u7ed3\u70b9\u6570<\/td>\n B 82<\/td>\n<\/tr>\n \n 2011(4)<\/td>\n \u5b8c\u5168\u4e8c\u53c9\u6811\u53f6\u5b50\u6570<\/td>\n C 384<\/td>\n<\/tr>\n \n 2011(5)<\/td>\n \u5148\u5e8f\u540e\u5e8f\u4e92\u9006<\/td>\n C<\/td>\n<\/tr>\n \n 2011(6)<\/td>\n \u6811\u8f6c\u4e8c\u53c9\u6811\u65e0\u53f3\u5b69\u5b50\u6570<\/td>\n D 1896<\/td>\n<\/tr>\n \n 2012(3)<\/td>\n \u5148\u5e8f+\u540e\u5e8f\u5b9a\u7956\u5148<\/td>\n A<\/td>\n<\/tr>\n \n 2013(4)<\/td>\n \u4e09\u53c9\u6811\u5e26\u6743\u8def\u5f84\u957f\u5ea6<\/td>\n B 46<\/td>\n<\/tr>\n \n 2013(5)<\/td>\n \u540e\u5e8f\u7ebf\u7d22\u6307\u5411<\/td>\n A<\/td>\n<\/tr>\n \n 2014(4)<\/td>\n \u4e2d\u5e8f\u7ebf\u7d22\u5316<\/td>\n D b\u3001a<\/td>\n<\/tr>\n \n 2014(5)<\/td>\n \u68ee\u6797\u53f6\u5b50\u6570 = \u65e0\u5de6\u5b69\u5b50\u6570<\/td>\n C<\/td>\n<\/tr>\n \n 2017(4)<\/td>\n \u5148\u5e8f=\u4e2d\u5e8f\u7684\u6761\u4ef6<\/td>\n B \u53ea\u6709\u53f3\u5b50\u6811<\/td>\n<\/tr>\n \n 2017(5)<\/td>\n \u540e\u5e8f\u5e8f\u5217\u4e0e\u6811\u5f62（\u9700\u56fe）<\/td>\n B<\/td>\n<\/tr>\n \n 2020(3)<\/td>\n \u987a\u5e8f\u5b58\u50a8\u7a7a\u95f4<\/td>\n A 31<\/td>\n<\/tr>\n \n 2020(4)<\/td>\n \u68ee\u6797\u904d\u5386\u6362\u7b97<\/td>\n C<\/td>\n<\/tr>\n \n 2021(4)<\/td>\n \u5148\u5e8f+\u4e2d\u5e8f \u2192 \u68ee\u6797\u68f5\u6570<\/td>\n C 3<\/td>\n<\/tr>\n \n 2021(9)<\/td>\n B \u6811\u7ed3\u70b9\u6570<\/td>\n A 11<\/td>\n<\/tr>\n \n 2022(3)<\/td>\n \u4e2d\u5e8f\u76f8\u90bb\u7ed3\u70b9\u5173\u7cfb<\/td>\n B \u4ec5 III<\/td>\n<\/tr>\n \n 2022(4)<\/td>\n \u4e09\u53c9\u6811\u9ad8\u5ea6<\/td>\n C 6<\/td>\n<\/tr>\n \n 2023(5)<\/td>\n \u540e\u5e8f \u2192 \u5148\u5e8f（\u9700\u56fe）<\/td>\n A<\/td>\n<\/tr>\n \n 2024(3)<\/td>\n \u4e2d\u5e8f\u4e2d\u95f4\u7ed3\u70b9\u6027\u8d28<\/td>\n A<\/td>\n<\/tr>\n \n 2025(3)<\/td>\n \u987a\u5e8f\u5b58\u50a8\u5408\u6cd5\u6027<\/td>\n D<\/td>\n<\/tr>\n \n 2025(4)<\/td>\n \u68ee\u6797\u4e0e\u4e8c\u53c9\u6811\u53d9\u8ff0<\/td>\n B<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u547d\u9898\u89c4\u5f8b，\u56db\u6761：<\/p>\n
- \n
\u904d\u5386\u662f\u7edd\u5bf9\u6838\u5fc3，25 \u9053\u91cc 9 \u9053\u76f4\u63a5\u8003\u904d\u5386，\u53e6\u6709 5 \u9053\u8981\u7528\u5230\u904d\u5386\u5e8f\u5217\u624d\u80fd\u505a\u3002<\/p>\n<\/li>\n
- \n
"\u7ed9\u4e24\u4e2a\u5e8f\u5217\u6c42\u7b2c\u4e09\u4e2a"\u662f\u56fa\u5b9a\u5957\u8def，\u51e0\u4e4e\u6bcf\u9694\u4e24\u4e09\u5e74\u8003\u4e00\u6b21（2011\u30012012\u30012020\u30012021）\u3002<\/p>\n<\/li>\n
- \n
\u5b8c\u5168\u4e8c\u53c9\u6811\u7231\u8003"\u53cd\u63a8"：\u7ed9\u53f6\u5b50\u6570\u6c42\u603b\u6570（2009）\u3001\u7ed9\u603b\u6570\u6c42\u53f6\u5b50\u6570（2011）\u3002<\/p>\n<\/li>\n
- \n
\u68ee\u6797\u4e0e\u4e8c\u53c9\u6811\u7684\u8f6c\u6362\u51e0\u4e4e\u5e74\u5e74\u51fa\u73b0（2009\u30012011\u30012014\u30012020\u30012021\u30012025），\u6838\u5fc3\u5c31\u662f"\u5de6\u5b69\u5b50\u53f3\u5144\u5f1f"\u3002<\/p>\n<\/li>\n
\u53e3\u5f84\u8bf4\u660e：\u4f9d\u636e zhenti_all.json \u4e2d subject=\u6570\u636e\u7ed3\u6784 \u7684 187 \u9053\u5355\u9009，\u6309\u6807\u7b7e\u7b5b\u51fa 25 \u9053\u3002\u5176\u4e2d 2010(3)\u30012017(5)\u30012023(5) \u4e09\u9053\u9898\u7684\u6811\u5f62\u56fe\u5728\u9898\u5e93\u4e2d\u4e3a OCR \u4e71\u7801\u6216\u7f3a\u5931，\u672c\u6587\u53ea\u5728\u8003\u9891\u8868\u5217\u51fa\u5e74\u4efd\u4e0e\u7b54\u6848，\u6b63\u6587\u4e0d\u4f5c\u56fe\u5f62\u63a8\u6f14（\u6cbf\u7528\u6b64\u524d"\u56fe\u7f3a\u5931\u4e0d\u8fd8\u539f\u539f\u56fe"\u7684\u5904\u7406\u53e3\u5f84）\u3002\u8003\u9891\u4ec5\u4f9b\u53c2\u8003，\u2605 \u5c11\u4e0d\u7b49\u4e8e\u4e0d\u8003\u3002<\/p>\n
\n\u5341\u4e00\u3001\u6613\u9519\u70b9\u6e05\u5355<\/h3>\n
- \n
\u4ee5\u4e3a\u5148\u5e8f + \u540e\u5e8f\u80fd\u552f\u4e00\u786e\u5b9a\u6811\u2014\u2014\u4e0d\u80fd\u3002\u5206\u4e0d\u51fa\u5de6\u53f3\u5b50\u6811\u7684\u5206\u754c（2012(3)\u30012011(5)）\u3002<\/p>\n<\/li>\n
- \n
\u8fd8\u539f\u6811\u65f6\u641e\u6df7"\u8c01\u627e\u6839\u3001\u8c01\u5207\u5206"\u2014\u2014\u5148\u5e8f\/\u540e\u5e8f\u627e\u6839，\u4e2d\u5e8f\u5207\u5de6\u53f3\u3002<\/p>\n<\/li>\n
- \n
\u5b8c\u5168\u4e8c\u53c9\u6811\u8ba4\u4e3a\u4e0d\u80fd\u6709\u5ea6\u4e3a 1 \u7684\u7ed3\u70b9\u2014\u2014\u53ef\u4ee5\u6709（2025(4) A \u9009\u9879\u662f\u9519\u7684）\u3002<\/p>\n<\/li>\n
- \n
\u987a\u5e8f\u5b58\u50a8\u5fd8\u4e86"\u4e0d\u5b58\u5728\u7684\u7ed3\u70b9\u4e5f\u5360\u4f4d"\u2014\u2014\u9ad8\u5ea6 h \u5c31\u8981\u6309 2\u02b0 \u2212 1 \u9884\u7559（2020(3)）\u3002<\/p>\n<\/li>\n
- \n
\u7ebf\u7d22\u4e8c\u53c9\u6811\u76f4\u63a5\u731c\u2014\u2014\u4e00\u5b9a\u8981\u5148\u5199\u51fa\u904d\u5386\u5e8f\u5217\u518d\u627e\u524d\u540e，\u522b\u51ed\u611f\u89c9\u3002<\/p>\n<\/li>\n
- \n
\u68ee\u6797\u68f5\u6570\u6570\u9519\u2014\u2014\u662f\u6839\u7ed3\u70b9\u53f3\u94fe\u4e0a\u7684\u7ed3\u70b9\u6570，\u4e0d\u662f\u53f3\u5b50\u6811\u7ed3\u70b9\u603b\u6570\u3002<\/p>\n<\/li>\n
- \n
\u5ea6\u4e0e\u7ed3\u70b9\u6570\u516c\u5f0f\u7528\u53cd\u2014\u2014\u8bb0\u4f4f"\u603b\u5ea6\u6570 = N \u2212 1"（\u6839\u6ca1\u6709\u7236\u8fb9）\u3002<\/p>\n<\/li>\n
- \n
\u4e2d\u5e8f\u76f8\u90bb\u6027\u8d28\u8bb0\u53cd\u2014\u2014p \u5728 q \u524d\u4e14\u76f8\u90bb：q \u53ef\u4ee5\u662f p \u7684\u53cc\u4eb2\u3001\u53f3\u5b69\u5b50\u3001\u53cc\u4eb2\u7684\u53cc\u4eb2，\u552f\u72ec\u4e0d\u80fd\u662f\u53f3\u5144\u5f1f\u3002<\/p>\n<\/li>\n
- \n
\u904d\u5386\u7684"\u5de6""\u53f3"\u6307\u6574\u68f5\u5b50\u6811\u2014\u2014\u4e0d\u662f\u53ea\u8d70\u4e00\u6b65，\u662f\u9012\u5f52\u8d70\u5b8c\u3002<\/p>\n<\/li>\n
\n\u901f\u67e5\u8868（\u6587\u672b\u6536\u85cf\u7248）<\/h3>\n
\u56db\u79cd\u904d\u5386<\/p>\n
\n
\u540d\u79f0\u987a\u5e8f\u6839\u7684\u4f4d\u7f6e<\/tr>\n \n\n \u5148\u5e8f<\/td>\n \u6839 \u2192 \u5de6 \u2192 \u53f3<\/td>\n \u6700\u524d<\/td>\n<\/tr>\n \n \u4e2d\u5e8f<\/td>\n \u5de6 \u2192 \u6839 \u2192 \u53f3<\/td>\n \u4e2d\u95f4<\/td>\n<\/tr>\n \n \u540e\u5e8f<\/td>\n \u5de6 \u2192 \u53f3 \u2192 \u6839<\/td>\n \u6700\u540e<\/td>\n<\/tr>\n \n \u5c42\u6b21<\/td>\n \u9010\u5c42\u4ece\u5de6\u5230\u53f3<\/td>\n \u2014<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u8fd8\u539f\u4e09\u6b65\u6cd5<\/p>\n
\u2460 \u5148\u5e8f\u9996\u4e2a（\u6216\u540e\u5e8f\u672b\u4e2a）= \u6839
\n\u2461 \u5728\u3010\u4e2d\u5e8f\u3011\u91cc\u627e\u5230\u6839，\u5de6\u8fb9=\u5de6\u5b50\u6811，\u53f3\u8fb9=\u53f3\u5b50\u6811
\n\u2462 \u6570\u51fa\u5de6\u53f3\u5b50\u6811\u7ed3\u70b9\u6570 \u2192 \u56de\u5148\u5e8f\u5207\u4e24\u6bb5 \u2192 \u9012\u5f52<\/p>\n\u80fd\u5426\u552f\u4e00\u786e\u5b9a<\/p>\n
\n
\u7ec4\u5408\u80fd\u5426\u552f\u4e00\u786e\u5b9a<\/tr>\n \n\n \u5148\u5e8f + \u4e2d\u5e8f<\/td>\n \u2705 \u80fd<\/td>\n<\/tr>\n \n \u540e\u5e8f + \u4e2d\u5e8f<\/td>\n \u2705 \u80fd<\/td>\n<\/tr>\n \n \u5c42\u6b21 + \u4e2d\u5e8f<\/td>\n \u2705 \u80fd<\/td>\n<\/tr>\n \n \u5148\u5e8f + \u540e\u5e8f<\/td>\n \u274c \u4e0d\u80fd<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u5b8c\u5168\u4e8c\u53c9\u6811<\/p>\n
\u7ed3\u70b9 i \u7684\u5de6\u5b69\u5b50 2i\u3001\u53f3\u5b69\u5b50 2i+1\u3001\u7236\u7ed3\u70b9 \u230ai\/2\u230b
\n\u6700\u540e\u4e00\u4e2a\u5206\u652f\u7ed3\u70b9 = \u230an\/2\u230b
\n\u53f6\u5b50\u6570 = n \u2212 \u230an\/2\u230b
\n\u9ad8\u5ea6 h \u6700\u591a 2^h \u2212 1 \u4e2a\u7ed3\u70b9<\/p>\n\u5ea6\u4e0e\u7ed3\u70b9\u6570<\/p>\n
\u603b\u5ea6\u6570 = N \u2212 1
\nN = 1 + \u03a3(i \u00d7 n\u1d62)
\n\u9ad8\u5ea6 h \u7684 m \u53c9\u6811\u6700\u591a (m^h \u2212 1)\/(m \u2212 1) \u4e2a\u7ed3\u70b9<\/p>\n\u68ee\u6797 \u2194 \u4e8c\u53c9\u6811（\u5de6\u5b69\u5b50\u53f3\u5144\u5f1f）<\/p>\n
\n
\u68ee\u6797 F\u4e8c\u53c9\u6811 T<\/tr>\n \n\n \u5148\u6839\u904d\u5386<\/td>\n \u5148\u5e8f\u904d\u5386<\/td>\n<\/tr>\n \n \u4e2d\u6839\u904d\u5386<\/td>\n \u4e2d\u5e8f\u904d\u5386<\/td>\n<\/tr>\n \n \u53f6\u5b50\u4e2a\u6570<\/td>\n \u5de6\u5b69\u5b50\u6307\u9488\u4e3a\u7a7a\u7684\u7ed3\u70b9\u6570<\/td>\n<\/tr>\n \n \u6811\u7684\u68f5\u6570<\/td>\n \u6839\u7ed3\u70b9\u53f3\u94fe\u4e0a\u7684\u7ed3\u70b9\u6570<\/td>\n<\/tr>\n \n \u5206\u652f\u7ed3\u70b9\u6570 + 1<\/td>\n \u65e0\u53f3\u5b69\u5b50\u7684\u7ed3\u70b9\u6570<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u7ebf\u7d22\u4e8c\u53c9\u6811<\/p>\n
\u5de6\u7a7a\u6307\u9488 \u2192 \u524d\u9a71（\u904d\u5386\u5e8f\u5217\u7684\u524d\u4e00\u4e2a）
\n\u53f3\u7a7a\u6307\u9488 \u2192 \u540e\u7ee7（\u904d\u5386\u5e8f\u5217\u7684\u540e\u4e00\u4e2a）
\n\u505a\u6cd5：\u5148\u5199\u51fa\u904d\u5386\u5e8f\u5217，\u518d\u770b\u524d\u540e\u662f\u8c01<\/p>\n\u505a\u9898\u4e09\u95ee<\/p>\n
- \n
\u7ed9\u7684\u662f\u54ea\u4e24\u4e2a\u5e8f\u5217？\u5148\u5e8f+\u540e\u5e8f\u5c31\u4e0d\u80fd\u552f\u4e00\u786e\u5b9a\u3002<\/p>\n<\/li>\n
- \n
\u95ee\u7684\u662f\u6811\u672c\u8eab\u8fd8\u662f\u68ee\u6797？（\u68ee\u6797\u8981\u6362\u7b97\u904d\u5386\u5bf9\u5e94\u5173\u7cfb）<\/p>\n<\/li>\n
- \n
\u6709\u6ca1\u6709\u56fe？\u6ca1\u56fe\u7684\u9898\u9760\u5e8f\u5217\u6027\u8d28\u63a8，\u522b\u786c\u731c\u6811\u5f62\u3002<\/p>\n<\/li>\n
\n\u672c\u6587\u4f9d\u636e<\/p>\n
- \n
- \n
\u771f\u9898\u6570\u636e：zhenti_all.json（2009\u20142025 \u5e74 799 \u9898），\u672c\u6587\u5f15\u7528\u7684 25 \u9053\u5355\u9009\u5747\u4e0e\u5e93\u4e2d\u9898\u5e72\u3001\u9009\u9879\u3001\u7b54\u6848\u9010\u6761\u6838\u5bf9；\u7b2c\u4e09\u8282\u4e24\u9053\u8fd8\u539f\u9898\u3001\u7b2c\u4e94\u8282\u4e24\u9053\u5b8c\u5168\u4e8c\u53c9\u6811\u8ba1\u7b97\u3001\u7b2c\u516d\u8282\u5ea6\u4e0e\u7ed3\u70b9\u6570\u5747\u7ecf\u672c\u6587\u81ea\u884c\u6f14\u7b97\u9a8c\u8bc1<\/p>\n<\/li>\n
- \n
\u8003\u70b9\u8303\u56f4：408 \u8003\u8bd5\u5927\u7eb2\u300c\u6570\u636e\u7ed3\u6784 \u00b7 \u56db\u3001\u6811\u4e0e\u4e8c\u53c9\u6811\u300d（\u904d\u5386\u3001\u7ebf\u7d22\u4e8c\u53c9\u6811\u3001\u5b8c\u5168\u4e8c\u53c9\u6811\u3001\u68ee\u6797\u4e0e\u4e8c\u53c9\u6811\u8f6c\u6362\u3001\u987a\u5e8f\u4e0e\u94fe\u5f0f\u5b58\u50a8）<\/p>\n<\/li>\n
- \n
\u8bf4\u660e：2010(3)\u30012017(5)\u30012023(5) \u4e09\u9053\u9898\u7684\u6811\u5f62\u56fe\u5728\u9898\u5e93\u4e2d\u7f3a\u5931\u6216 OCR \u4e71\u7801，\u4ec5\u5728\u8003\u9891\u8868\u5217\u51fa\u5e74\u4efd\u4e0e\u7b54\u6848，\u6b63\u6587\u4e0d\u4f5c\u56fe\u5f62\u63a8\u6f14；B \u6811\u3001\u54c8\u592b\u66fc\u6811\u3001\u4e8c\u53c9\u6392\u5e8f\u6811\u3001\u5e73\u8861\u4e8c\u53c9\u6811\u4e0d\u5728\u672c\u7bc7\u8303\u56f4（\u53e6\u6709\u4e13\u7bc7）<\/p>\n<\/li>\n
- \n
\u8003\u9891\u7edf\u8ba1：\u6309\u9898\u5e93\u6807\u7b7e\u7b5b\u51fa，\u53e3\u5f84\u89c1\u7b2c\u5341\u8282\u8bf4\u660e，\u4ec5\u4f9b\u53c2\u8003<\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"
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