{"id":166679,"date":"2020-10-02T06:54:50","date_gmt":"2020-10-01T22:54:50","guid":{"rendered":"http:\/\/4563.org\/?p=166679"},"modified":"2020-10-02T06:54:50","modified_gmt":"2020-10-01T22:54:50","slug":"%e5%a6%82%e4%bd%95%e5%9c%a8-sage-%e6%88%96-mathematics-%e4%b8%ad%e5%86%99%e4%bb%a3%e7%a0%81%e6%89%8d%e8%83%bd%e5%be%97%e5%88%b0%e5%88%86%e6%ae%b5%e8%a7%a3%ef%bc%8c%e9%81%bf%e5%85%8d%e6%b2%89%e9%bb%98","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=166679","title":{"rendered":"\u5982\u4f55\u5728 sage \u6216 mathematics \u4e2d\u5199\u4ee3\u7801\u624d\u80fd\u5f97\u5230\u5206\u6bb5\u89e3\uff0c\u907f\u514d\u6c89\u9ed8\u9519\u8bef\uff1f"},"content":{"rendered":"
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\u5982\u4f55\u5728 sage \u6216 mathematics \u4e2d\u5199\u4ee3\u7801\u624d\u80fd\u5f97\u5230\u5206\u6bb5\u89e3\uff0c\u907f\u514d\u6c89\u9ed8\u9519\u8bef\uff1f <\/h1>\n

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\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span> <\/i> 4<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
\u4f8b\u5982\u6211\u4eec\u8981\u6c42 sqrt(2+2*cosx)\u7684\u4e0d\u5b9a\u79ef\u5206 \u548c 0-2pi \u7684\u6570\u503c\u79ef\u5206<\/p>\n

\u5173\u952e\u6b65\u9aa4\u65f6\u5230\u4e86 sqrt(4*(cos(x\/2))^2) \u5f00\u5e73\u65b9\u540e \u8981\u53d8\u6210 abs(2*(cos(x\/2)\uff09\u5982\u679c\u6211\u4eec\u8981\u6c42\u8fd9\u4e2a\u7edd\u5bf9\u503c\u7684\u4e0d\u5b9a\u79ef\u5206 \u6216 0 \u5230 2pi \u7684\u6570\u503c\u79ef\u5206\u3002\u5047\u8bbe\u6211\u4eec\u5728\u8003\u8bd5\u3002
\u90a3\u4e48\u4e0d\u5b9a\u79ef\u5206\u5e94\u8be5\u5199\u6210\uff1ax \u5c5e\u4e8e 0-pi\uff1a4sin(\u03b8\/2)
x \u5c5e\u4e8e pi-2pi\uff1a -4sin(\u03b8\/2)<\/p>\n

\u6570\u503c\u79ef\u5206\u5f53\u7136\u5e94\u8be5\u5728\u4e0d\u540c\u533a\u95f4\u4ee3\u5165\u4e0d\u540c\u89e3\u6790\u89e3\u6c42\u89e3\u3002
\u8fbe\u5230\u4ee5\u4e0a\u6807\u51c6\u624d\u80fd\u5f97\u5206\u3002<\/p>\n

\u53ef\u662f\u5f53\u6211\u7528 sage \u76f4\u63a5\u6c42 sqrt(2+2*cosx)\u7684\u4e0d\u5b9a\u79ef\u5206\uff0c\u53ea\u5f97\u5230\u4e86 2 \u4e2a\u89e3\u4e2d\u7684\u4e00\u4e2a\uff0c\u5373 4sin(\u03b8\/2) \u3002\u5f53\u7136\u8ba1\u7b97 0 \u5230 2pi \u7684\u6570\u503c\u79ef\u5206\u81ea\u7136\u4f1a\u5f97\u5230\u9519\u8bef\u7b54\u6848 0 \u3002<\/p>\n

\u8003\u8651\u5230\u5206\u6bb5\u89e3\u5728\u6570\u5b66\u4e2d\u975e\u5e38\u5e38\u89c1\u3002\u5982\u679c\u8ba9\u8f6f\u4ef6\u81ea\u52a8\u7ed9\u51fa\u5206\u6bb5\u89e3\uff1f\uff08\u6240\u8c13\u81ea\u52a8\u7684\u610f\u601d\u5c31\u65f6\u8ba9\u8f6f\u4ef6\u81ea\u52a8\u5212\u6bb5\uff0c\u800c\u4e0d\u662f\u4eba\u5de5\u53bb\u5212\u6bb5\u518d\u5206\u522b\u8ba1\u7b97\u7ed3\u679c\uff09 \u4ece\u800c\u907f\u514d\u51fa\u73b0\u6c89\u9ed8\u9519\u8bef\uff1f\u6ce8\uff1a\u8be5\u95ee\u7684\u7684\u8ba8\u8bba\u4e0d\u5c40\u9650\u4e8e sage\uff0c\u7ed9\u51fa mathematics \u7684\u4ee3\u7801\u4e5f\u53ef\u4ee5\u3002\u4e3b\u8981\u662f\u60f3\u5f97\u5230\u4e00\u4e2a\u601d\u8def\uff0c\u6240\u4ee5\u4ee3\u7801\u6700\u597d\u6709\u6ce8\u91ca<\/p>\n

\u53e6\u5916\u7528 sage \u6c42\u89e3 sqrt(2-2*cosx) \u7684\u4e0d\u5b9a\u79ef\u5206\u3002\u76f4\u63a5\u7ed9\u51fa\u9519\u8bef\u7b54\u6848 https:\/\/sagecell.sagemath.org\/?z=eJyrsC1LLNJQr1DX5MpJLEmt0MjMK0lNL0rM0dAw0jXSSs4v1qjQ1Iwz0DPVAdIAW0IN5Q==&lang=sage&interacts=eJyLjgUAARUAuQ==<\/p>\n

\u53ea\u6709\u5c06\u8ba1\u7b97\u6b65\u9aa4\u63a8\u8fdb\u5230 2*sin(x\/2) \u6c42\u4e0d\u5b9a\u79ef\u5206\u3002\u624d\u80fd\u5f97\u5230\u6b63\u786e\u7b54\u6848\u3002\u4e0d\u77e5\u9053\u5e94\u8be5\u600e\u6837\u5199\u4ee3\u7801\u624d\u80fd\u4ece\u7b2c\u4e00\u6b65\u5f00\u59cb\u8ba1\u7b97\u5c31\u80fd\u5f97\u5230\u6b63\u786e\u7b54\u6848\uff1f <\/p><\/div>\n

\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (2<\/span>) <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n
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    \u8cc7\u6df1\u5927\u4f6c : necomancer <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    x=var(‘x’)
    integral((2+2*cos(x))^0.5,x,0,2*pi, algorithm=”giac”) <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
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    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    @necomancer \u8c22\u8c22\u4f60\u9ad8\u8d28\u91cf\u7684\u56de\u590d\u3002\u6570\u503c\u79ef\u5206\u786e\u5b9e\u53ef\u4ee5\u5f97\u5230\u6b63\u786e\u7ed3\u679c\u3002\u4f46\u662f\u6211\u8bd5\u4e86\u4e00\u4e0b\u4e0d\u5b9a\u79ef\u5206\u3002\u5728\u4fdd\u7559\u201calgorithm=”giac” \u7684\u60c5\u51b5\u4e0b\u3002sage \u76f4\u63a5\u505c\u6b62\u601d\u8003\uff0c\u6ca1\u6709\u7ed9\u51fa\u4efb\u4f55\u89e3\u6790\u89e3\u3002\u6211\u5728\u767e\u5ea6\u641c\u4e86\u4e00\u4e0b sage giac \u3002\u6ca1\u6709\u627e\u5230\u4efb\u4f55\u6709\u4ef7\u503c\u7684\u4fe1\u606f\u3002\u60f3\u4e0d\u51fa\u5e94\u8be5\u600e\u4e48\u4e3e\u4e00\u53cd\u4e09\u89e3\u51b3\u89e3\u6790\u89e3\u4e0d\u5b8c\u6574\u7684\u529e\u6cd5\u3002<\/p>\n

    \u53e6\u5916\u6211\u53d1\u73b0\u8bf8\u5982\u89e3\u65b9\u7a0b\u4e5f\u5b58\u5728\u6570\u503c\u89e3\u4e0d\u5b8c\u6574\u7684\u60c5\u51b5\u3002\u6211\u8bd5\u4e86\u5728\u5176\u4e2d\u52a0\u4e0a algorithm=”giac”\uff0csage \u76f4\u63a5\u62a5\u9519\u4e86\u3002\u8fd9\u4e00\u70b9\u751a\u4e4b\u4e0d\u5982 geogebra \u3002\u540c\u6837\u7684\u8fd4\u7a0b geogebra \u7ed8\u51fa\u56fe\u5305\u62ec\u4e86\u533a\u95f4\u5185\u6240\u6709\u7684\u6570\u503c\u89e3\u3002https:\/\/sagecell.sagemath.org\/?z=eJyrsC1LLNJQr1DX5ErLzEuJL8rPL9HQTc4v1jDUN9Kq0NQCMSs0FbQVQPzizDyYOIgJFocosLU10DHQMdEqyNRJzEnPL8osyci1VUrPTExW0gQA1wcdgQ==&lang=sage&interacts=eJyLjgUAARUAuQ== <\/p><\/div>\n<\/p><\/div>\n<\/li>\n

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    \u5982\u4f55\u5728 sage \u6216 mathem…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/166679"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=166679"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/166679\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=166679"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=166679"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=166679"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}