{"id":1124808,"date":"2025-01-08T19:45:15","date_gmt":"2025-01-08T11:45:15","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1124808.html"},"modified":"2025-01-08T19:45:18","modified_gmt":"2025-01-08T11:45:18","slug":"python%e5%a6%82%e4%bd%95%e8%ae%be%e5%ae%9a%e4%b8%89%e8%a7%92%e5%bd%a2%e5%8d%8a%e5%be%84","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1124808.html","title":{"rendered":"python\u5982\u4f55\u8bbe\u5b9a\u4e09\u89d2\u5f62\u534a\u5f84"},"content":{"rendered":"

\"python\u5982\u4f55\u8bbe\u5b9a\u4e09\u89d2\u5f62\u534a\u5f84\"<\/p>\n

\u5728Python\u4e2d\u8bbe\u5b9a\u4e09\u89d2\u5f62\u7684\u534a\u5f84\uff0c\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u534a\u5f84\u548c\u5185\u5207\u5706\u534a\u5f84\u6765\u5b9e\u73b0\u3002<\/strong> \u5916\u63a5\u5706\u534a\u5f84\u662f\u6307\u8fc7\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5706\u7684\u534a\u5f84\uff0c\u5185\u5207\u5706\u534a\u5f84\u662f\u6307\u4e0e\u4e09\u89d2\u5f62\u4e09\u8fb9\u90fd\u76f8\u5207\u7684\u5706\u7684\u534a\u5f84\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u8ba1\u7b97\u8fd9\u4e24\u79cd\u534a\u5f84\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u5916\u63a5\u5706\u534a\u5f84\u8ba1\u7b97<\/h3>\n<\/p>\n

\u5916\u63a5\u5706\u534a\u5f84\uff08R\uff09\u53ef\u4ee5\u901a\u8fc7\u4e09\u89d2\u5f62\u7684\u8fb9\u957f\u548c\u9762\u79ef\u6765\u8ba1\u7b97\u3002\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n

[ R = \\frac{abc}{4 \\times \\text{Area}} ]<\/p>\n<\/p>\n

\u5176\u4e2d\uff0ca\u3001b\u3001c\u5206\u522b\u662f\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u957f\u3002<\/p>\n<\/p>\n

1\u3001\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef<\/h4>\n<\/p>\n

\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u6d77\u4f26\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<\/p>\n

[ \\text{Area} = \\sqrt{s(s-a)(s-b)(s-c)} ]<\/p>\n<\/p>\n

\u5176\u4e2d\uff0cs \u662f\u4e09\u89d2\u5f62\u7684\u534a\u5468\u957f\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n

[ s = \\frac{a + b + c}{2} ]<\/p>\n<\/p>\n

2\u3001Python\u5b9e\u73b0\u5916\u63a5\u5706\u534a\u5f84\u8ba1\u7b97<\/h4>\n<\/p>\n

\u4e0b\u9762\u662f\u4e00\u4e2aPython\u4ee3\u7801\u793a\u4f8b\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u4e0a\u8ff0\u516c\u5f0f\u8ba1\u7b97\u5916\u63a5\u5706\u534a\u5f84\u3002<\/p>\n<\/p>\n

import math<\/p>\n
def calculate_area(a, b, c):<\/p>\n
    s = (a + b + c) \/ 2<\/p>\n
    return math.sqrt(s * (s - a) * (s - b) * (s - c))<\/p>\n
def calculate_circumradius(a, b, c):<\/p>\n
    area = calculate_area(a, b, c)<\/p>\n
    return (a * b * c) \/ (4 * area)<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
a = 5<\/p>\n
b = 6<\/p>\n
c = 7<\/p>\n
circumradius = calculate_circumradius(a, b, c)<\/p>\n
print(f"\u5916\u63a5\u5706\u534a\u5f84: {circumradius}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e8c\u3001\u5185\u5207\u5706\u534a\u5f84\u8ba1\u7b97<\/h3>\n<\/p>\n
\u5185\u5207\u5706\u534a\u5f84\uff08r\uff09\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n
[ r = \\frac{\\text{Area}}{s} ]<\/p>\n<\/p>\n
\u5176\u4e2d\uff0cArea \u662f\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff0cs \u662f\u4e09\u89d2\u5f62\u7684\u534a\u5468\u957f\u3002<\/p>\n<\/p>\n
1\u3001Python\u5b9e\u73b0\u5185\u5207\u5706\u534a\u5f84\u8ba1\u7b97<\/h4>\n<\/p>\n
\u4e0b\u9762\u662f\u4e00\u4e2aPython\u4ee3\u7801\u793a\u4f8b\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u4e0a\u8ff0\u516c\u5f0f\u8ba1\u7b97\u5185\u5207\u5706\u534a\u5f84\u3002<\/p>\n<\/p>\n
def calculate_inradius(a, b, c):<\/p>\n
    area = calculate_area(a, b, c)<\/p>\n
    s = (a + b + c) \/ 2<\/p>\n
    return area \/ s<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
a = 5<\/p>\n
b = 6<\/p>\n
c = 7<\/p>\n
inradius = calculate_inradius(a, b, c)<\/p>\n
print(f"\u5185\u5207\u5706\u534a\u5f84: {inradius}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e09\u3001\u8fdb\u4e00\u6b65\u8ba8\u8bba<\/h3>\n<\/p>\n
1\u3001\u5e94\u7528\u573a\u666f<\/h4>\n<\/p>\n
\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u548c\u5185\u5207\u5706\u534a\u5f84\u5728\u8ba1\u7b97\u51e0\u4f55\u5b66\u3001\u5de5\u7a0b\u5b66\u548c\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\u5177\u6709\u91cd\u8981\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u5728\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\uff0c\u4e09\u89d2\u5f62\u662f\u6700\u57fa\u672c\u7684\u7ed8\u56fe\u5355\u5143\u4e4b\u4e00\uff0c\u4e86\u89e3\u5176\u51e0\u4f55\u5c5e\u6027\u6709\u52a9\u4e8e\u66f4\u597d\u5730\u8fdb\u884c\u56fe\u5f62\u7ed8\u5236\u548c\u53d8\u6362\u3002<\/p>\n<\/p>\n
2\u3001\u4f18\u5316\u4e0e\u6269\u5c55<\/h4>\n<\/p>\n
\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u4e09\u89d2\u5f62\u7684\u8fb9\u957f\u53ef\u80fd\u662f\u6d6e\u70b9\u6570\uff0c\u56e0\u6b64\u5728\u7f16\u5199\u4ee3\u7801\u65f6\u9700\u8981\u8003\u8651\u6d6e\u70b9\u6570\u8fd0\u7b97\u7684\u7cbe\u5ea6\u95ee\u9898\u3002\u6b64\u5916\uff0c\u8fd8\u53ef\u4ee5\u6269\u5c55\u4ee3\u7801\uff0c\u652f\u6301\u66f4\u591a\u7c7b\u578b\u7684\u8f93\u5165\uff0c\u5982\u4ece\u6587\u4ef6\u8bfb\u53d6\u8fb9\u957f\u6216\u4ece\u7528\u6237\u8f93\u5165\u83b7\u53d6\u8fb9\u957f\u3002<\/p>\n<\/p>\n
\u56db\u3001\u603b\u7ed3<\/h3>\n<\/p>\n
\u901a\u8fc7\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u548c\u5185\u5207\u5706\u534a\u5f84\uff0c\u53ef\u4ee5\u6df1\u5165\u7406\u89e3\u4e09\u89d2\u5f62\u7684\u51e0\u4f55\u6027\u8d28\uff0c\u5e76\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u53d1\u6325\u91cd\u8981\u4f5c\u7528\u3002<\/strong> \u4f7f\u7528Python\u7f16\u5199\u4ee3\u7801\uff0c\u5b9e\u73b0\u8fd9\u4e9b\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u66f4\u597d\u5730\u638c\u63e1\u76f8\u5173\u77e5\u8bc6\u548c\u6280\u80fd\u3002<\/p>\n<\/p>\n
\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u9650\u4e8e\u8ba1\u7b97\u51e0\u4f55\u5b66\uff0c\u8fd8\u53ef\u4ee5\u5e94\u7528\u4e8e\u5de5\u7a0b\u5b66\u3001\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u7b49\u591a\u4e2a\u9886\u57df\u3002\u5e0c\u671b\u672c\u6587\u80fd\u4e3a\u4f60\u63d0\u4f9b\u6709\u4ef7\u503c\u7684\u53c2\u8003\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
 \u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u534a\u5f84\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u516c\u5f0f\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u534a\u5f84\uff08R\uff09\u6216\u5185\u5207\u5706\u534a\u5f84\uff08r\uff09\u3002\u5916\u63a5\u5706\u534a\u5f84\u7684\u516c\u5f0f\u4e3aR = abc \/ (4A)\uff0c\u5176\u4e2da\u3001b\u3001c\u662f\u4e09\u89d2\u5f62\u7684\u8fb9\u957f\uff0cA\u662f\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002\u5185\u5207\u5706\u534a\u5f84\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3ar = A \/ s\uff0c\u5176\u4e2ds\u662f\u4e09\u89d2\u5f62\u7684\u534a\u5468\u957f\u3002\u53ef\u4ee5\u5229\u7528Python\u4e2d\u7684\u6570\u5b66\u5e93\u8fdb\u884c\u8fd9\u4e9b\u8ba1\u7b97\u3002<\/p>\n
Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u5e2e\u52a9\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u534a\u5f84\uff1f<\/strong>
\u5e38\u7528\u7684Python\u5e93\u5305\u62ecNumPy\u548cSymPy\u3002NumPy\u53ef\u4ee5\u7528\u4e8e\u9ad8\u6548\u7684\u6570\u503c\u8ba1\u7b97\uff0c\u800cSymPy\u5219\u9002\u5408\u4e8e\u7b26\u53f7\u8ba1\u7b97\u548c\u4ee3\u6570\u8fd0\u7b97\u3002\u4f7f\u7528\u8fd9\u4e9b\u5e93\u53ef\u4ee5\u66f4\u65b9\u4fbf\u5730\u5904\u7406\u4e09\u89d2\u5f62\u7684\u8fb9\u957f\u548c\u9762\u79ef\uff0c\u4ece\u800c\u8ba1\u7b97\u51fa\u534a\u5f84\u3002<\/p>\n
\u6709\u6ca1\u6709\u5177\u4f53\u7684\u4ee3\u7801\u793a\u4f8b\u6765\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u534a\u5f84\uff1f<\/strong>
\u5f53\u7136\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u793a\u4f8b\u4ee3\u7801\u6765\u8ba1\u7b97\u5916\u63a5\u5706\u534a\u5f84\u548c\u5185\u5207\u5706\u534a\u5f84\uff1a<\/p>\n
import math\n\ndef triangle_radius(a, b, c):\n    # \u8ba1\u7b97\u534a\u5468\u957f\n    s = (a + b + c) \/ 2\n    # \u8ba1\u7b97\u9762\u79ef\n    A = math.sqrt(s * (s - a) * (s - b) * (s - c))\n    # \u8ba1\u7b97\u5916\u63a5\u5706\u534a\u5f84\n    R = (a * b * c) \/ (4 * A)\n    # \u8ba1\u7b97\u5185\u5207\u5706\u534a\u5f84\n    r = A \/ s\n    return R, r\n\n# \u793a\u4f8b\na = 3\nb = 4\nc = 5\nR, r = triangle_radius(a, b, c)\nprint(f"\u5916\u63a5\u5706\u534a\u5f84: {R}, \u5185\u5207\u5706\u534a\u5f84: {r}")\n<\/code><\/pre>\n
\u8fd9\u6bb5\u4ee3\u7801\u4f1a\u8f93\u51fa\u7ed9\u5b9a\u8fb9\u957f\u7684\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u548c\u5185\u5207\u5706\u534a\u5f84\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728Python\u4e2d\u8bbe\u5b9a\u4e09\u89d2\u5f62\u7684\u534a\u5f84\uff0c\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u534a\u5f84\u548c\u5185\u5207\u5706\u534a\u5f84\u6765\u5b9e\u73b0\u3002 \u5916\u63a5\u5706\u534a\u5f84\u662f\u6307\u8fc7\u4e09\u89d2\u5f62\u4e09 […]","protected":false},"author":3,"featured_media":1124819,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1124808"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1124808"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1124808\/revisions"}],"predecessor-version":[{"id":1124823,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1124808\/revisions\/1124823"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1124819"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1124808"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1124808"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1124808"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}