{"id":350,"date":"2022-05-19T11:51:15","date_gmt":"2022-05-19T03:51:15","guid":{"rendered":"https:\/\/www.daixiaomao.com\/bkw\/?p=350"},"modified":"2022-06-06T13:27:00","modified_gmt":"2022-06-06T05:27:00","slug":"bkwxkjs","status":"publish","type":"post","link":"https:\/\/www.daixiaomao.com\/bkw\/350.html","title":{"rendered":"\u5947\u6570"},"content":{"rendered":"\n

\u258c<\/mark><\/strong><\/strong>\u7b80\u4ecb<\/strong><\/p>\n\n\n\n

\u5947\u6570\u6307\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6574\u6570 \uff0c\u6570\u5b66\u8868\u8fbe\u5f62\u5f0f\u4e3a\uff1a2k+1\uff0c \u5947\u6570\u53ef\u4ee5\u5206\u4e3a\u6b63\u5947\u6570\u548c\u8d1f\u5947\u6570\u3002<\/p>\n\n\n\n

\u4e2d\u6587\u540d<\/strong><\/td>\u5947\u6570<\/td>\u9002\u7528\u9886\u57df<\/strong><\/strong><\/strong><\/td>\u4ee3\u6570<\/td><\/tr>
\u5916\u6587\u540d<\/strong><\/td>odd number<\/td>\u5b66\u79d1<\/strong><\/strong><\/strong><\/td>\u6570\u5b66<\/td><\/tr>
\u8868\u8fbe\u5f0f<\/strong><\/td>2k+1(k\u4e3a\u6574\u6570)<\/td>\u5b9a\u4e49<\/strong><\/td>\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6574\u6570<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

\u258c<\/mark><\/strong><\/strong>\u5b9a\u4e49<\/strong><\/p>\n\n\n\n

\u5728\u6574\u6570\u4e2d\uff0c\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6570\u53eb\u505a\u5947\u6570 \u3002\u65e5\u5e38\u751f\u6d3b\u4e2d\uff0c\u4eba\u4eec\u901a\u5e38\u628a\u6b63\u5947\u6570\u53eb\u505a\u5355\u6570\uff0c\u5b83\u8ddf\u5076\u6570\u662f\u76f8\u5bf9\u7684  \u3002\u5947\u6570\u53ef\u4ee5\u5206\u4e3a\u6b63\u5947\u6570\u548c\u8d1f\u5947\u6570\u3002\u5947\u6570\u7684\u6570\u5b66\u8868\u8fbe\u5f62\u5f0f\u4e3a\uff1a2k+1(k\u2208Z)\u3002<\/p>\n\n\n\n

\u6b63\u5947\u6570\uff1a1\u30013\u30015\u30017\u30019\u300111\u300113\u300115\u300117\u300119\u300121\u300123\u300125\u300127\u300129\u300131\u300133………<\/p>\n\n\n\n

\u8d1f\u5947\u6570\uff1a-1\u3001-3\u3001-5\u3001-7\u3001-9\u3001-11\u3001-13\u3001-15\u3001-17\u3001-19\u3001-21\u3001-23.-25\u3001-27\u3001-29\u3001-31\u3001-33………<\/p>\n\n\n\n

\u258c<\/mark><\/strong><\/strong>\u6027\u8d28<\/strong><\/p>\n\n\n\n

1.\u4e24\u4e2a\u8fde\u7eed\u6574\u6570\u4e2d\u5fc5\u6709\u4e00\u4e2a\u5947\u6570\u548c\u4e00\u4e2a\u5076\u6570\uff1b<\/p>\n\n\n\n

2.\u5947\u6570+\u5947\u6570=\u5076\u6570\uff1b\u5076\u6570+\u5947\u6570=\u5947\u6570\uff1b\u5076\u6570+\u5076\u6570+…+\u5076\u6570=\u5076\u6570\uff1b<\/p>\n\n\n\n

3.\u5947\u6570-\u5947\u6570=\u5076\u6570\uff1b\u5076\u6570-\u5947\u6570=\u5947\u6570\uff1b\u5947\u6570-\u5076\u6570=\u5947\u6570\uff1b<\/p>\n\n\n\n

4.\u82e5a\u3001b\u4e3a\u6574\u6570\uff0c\u5219a+b\u4e0ea-b\u6709\u76f8\u540c\u7684\u5947\u5076\u6027\uff0c\u5373a+b\u4e0ea-b\u540c\u4e3a\u5947\u6570\u6216\u540c\u4e3a\u5076\u6570\uff1b<\/p>\n\n\n\n

5.n\u4e2a\u5947\u6570\u7684\u4e58\u79ef\u662f\u5947\u6570\uff0cn\u4e2a\u5076\u6570\u7684\u4e58\u79ef\u662f\u5076\u6570\uff1b\u7b97\u5f0f\u4e2d\u6709\u4e00\u4e2a\u662f\u5076\u6570\uff0c\u5219\u4e58\u79ef\u662f\u5076\u6570\uff1b<\/p>\n\n\n\n

6.\u5947\u6570\u7684\u4e2a\u4f4d\u662f1\u30013\u30015\u30017\u30019\uff1b\u5076\u6570\u7684\u4e2a\u4f4d\u662f0\u30012\u30014\u30016\u30018\uff1b<\/p>\n\n\n\n

7.\u5947\u6570\u7684\u5e73\u65b9\u9664\u4ee52\u30014\u30018\u4f591\uff1b<\/p>\n\n\n\n

8.\u4efb\u610f\u4e24\u4e2a\u5947\u6570\u7684\u5e73\u65b9\u5dee\u662f2\u30014\u30018\u7684\u500d\u6570\uff1b<\/p>\n\n\n\n

9.\u5947\u6570\u9664\u4ee52\u4f59\u6570\u4e3a1\u3002<\/p>\n\n\n\n

\u258c<\/mark><\/strong><\/strong>\u4e0e\u5e73\u65b9\u6570<\/strong><\/p>\n\n\n\n

\u8457\u540d\u6570\u5b66\u5bb6\u6bd5\u8fbe\u54e5\u62c9\u65af\u53d1\u73b0\u6709\u8da3\u5947\u6570\u73b0\u8c61\uff1a\u5c06\u5947\u6570\u8fde\u7eed\u76f8\u52a0\uff0c\u6bcf\u6b21\u7684\u5f97\u6570\u6b63\u597d\u662f\u5e73\u65b9\u6570\u3002\u8fd9\u4f53\u73b0\u5728\u5947\u6570\u548c\u5e73\u65b9\u6570\u4e4b\u95f4\u6709\u7740\u5bc6\u5207\u7684\u91cd\u8981\u8054\u7cfb\u3002\u5982\uff1a<\/p>\n\n\n\n

1+3=2\u00b2<\/td><\/tr>
1+3+5=3\u00b2<\/td><\/tr>
1+3+5+7=4\u00b2<\/td><\/tr>
1+3+5+7+9=5\u00b2<\/td><\/tr>
1+3+5+7+9+11=6\u00b2<\/td><\/tr>
1+3+5+7+9+11+13=7\u00b2<\/td><\/tr>
1+3+5+7+9+11+13+15=8\u00b2<\/td><\/tr>
1+3+5+7+9+11+13+15+17=9\u00b2<\/td><\/tr>
\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7\u00b7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

1.\u6027\u8d28\uff1a\u4efb\u610f\u4e00\u4e2a\u5947\u6570\u90fd\u53ef\u4ee5\u5199\u6210\u4e24\u4e2a\u6574\u6570\u5e73\u65b9\u5dee\u7684\u5f62\u5f0f\u3002<\/p>\n\n\n\n

2.\u4ee4\u6b63\u5947\u6570a\u4e3a\u7b2cn\u4e2a\u6b63\u5947\u6570(\u5373n\u22651)\uff0c\u5219\u6709a=n\u00b2-(n-1)\u00b2=2n-1;a=(a+1-n)\u00b2-(a-n)\u00b2=2a-2n+1\u3002<\/p>\n\n\n\n

3.\u4ee4\u8d1f\u5947\u6570b\u4e3a\u7b2cn\u4e2a\u8d1f\u5947\u6570(n\u22651)\uff0c\u6613\u5f97b=-a=(n-1)\u00b2-n\u00b2=1-2n\uff1b\u4f46\u7b2c\u4e8c\u4e2a\u89c4\u5f8b\u4e0e\u6b63\u5947\u6570\u7684\u4e0d\u540c\u3002<\/p>\n\n\n\n

\u258c<\/mark><\/strong><\/strong>\u4e0e\u7d20\u6570\u7684\u533a\u522b<\/strong><\/p>\n\n\n\n

\u5947\u6570\u4e0e\u7d20\u6570\u662f\u4e24\u4e2a\u4e0d\u540c\u7684\u6982\u5ff5\uff0c\u5947\u6570\u53ef\u80fd\u662f\u7d20\u6570\uff0c\u4e5f\u53ef\u80fd\u4e0d\u662f\u7d20\u6570\u3002\u4f8b\u59823\u662f\u5947\u6570\uff0c\u662f\u7d20\u6570\uff1b9\u662f\u5947\u6570\uff0c\u4f46\u4e0d\u662f\u7d20\u6570\u3002<\/p>\n\n\n\n

\u258c<\/mark><\/strong><\/strong>\u5947\u6570\u5217<\/strong><\/p>\n\n\n\n

\u6570\u5217\uff1a1\uff0c3\uff0c5\uff0c7\uff0c9\uff0c\u2026\u2026 \uff0c2n-1\uff0c\u2026 \u79f0\u4e3a\u5947\u6570\u5217\uff0c\u901a\u9879\u516c\u5f0f\u4e3aa\u2099=2n-1\u3002\u5b83\u6709\u4e00\u4e2a\u4f18\u7f8e\u7684\u6027\u8d28\uff1an\u53d6\u4efb\u4f55\u6b63\u6574\u6570\u65f6\uff0c\u5b83\u7684\u524dn\u9879\u548c\u5747\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\u3002<\/p>\n\n\n\n

\u5947\u6570\u5217\u4e5f\u53ef\u4ece\u53e6\u4e00\u89d2\u5ea6\u8fdb\u884c\u8868\u8ff0\uff1a\u82e5m\u2081=1\uff0cm\u2082=3\uff0c\u5f53n\u22653\u65f6\uff0c\u90fd\u6709m\u2099=2m\u2099\u208b\u2081-m\u2099\u208b\u2082\uff0c\u5219\u6570\u5217{m\u2099}\u4e3a\u5947\u6570\u5217\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u258c\u7b80\u4ecb \u5947\u6570\u6307\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6574\u6570 \uff0c\u6570\u5b66\u8868\u8fbe\u5f62\u5f0f\u4e3a\uff1a2k+1\uff0c \u5947\u6570\u53ef\u4ee5\u5206\u4e3a\u6b63\u5947\u6570\u548c\u8d1f\u5947\u6570\u3002 \u4e2d\u6587\u540d \u5947\u6570 \u9002\u7528\u9886\u57df \u4ee3\u6570 \u5916\u6587\u540d odd number \u5b66\u79d1 \u6570\u5b66 \u8868\u8fbe\u5f0f 2k+1(k\u4e3a\u6574\u6570) \u5b9a\u4e49 \u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6574\u6570 \u258c\u5b9a\u4e49 \u5728\u6574\u6570\u4e2d\uff0c\u4e0d\u80fd\u88ab2\u6574\u9664\u7684\u6570\u53eb\u505a\u5947\u6570 \u3002\u65e5\u5e38\u751f\u6d3b\u4e2d\uff0c\u4eba\u4eec\u901a\u5e38\u628a\u6b63\u5947\u6570\u53eb\u505a\u5355\u6570\uff0c\u5b83\u8ddf\u5076\u6570\u662f\u76f8\u5bf9\u7684  \u3002\u5947\u6570\u53ef\u4ee5\u5206\u4e3a\u6b63\u5947\u6570\u548c\u8d1f\u5947\u6570\u3002\u5947\u6570\u7684\u6570\u5b66\u8868\u8fbe […]<\/p>\n","protected":false},"author":1,"featured_media":358,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[42],"class_list":["post-350","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-shuxue","tag-42"],"_links":{"self":[{"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/posts\/350","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/comments?post=350"}],"version-history":[{"count":6,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/posts\/350\/revisions"}],"predecessor-version":[{"id":631,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/posts\/350\/revisions\/631"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/media\/358"}],"wp:attachment":[{"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/media?parent=350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/categories?post=350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.daixiaomao.com\/bkw\/wp-json\/wp\/v2\/tags?post=350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}