{"id":1135701,"date":"2025-01-08T21:28:09","date_gmt":"2025-01-08T13:28:09","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1135701.html"},"modified":"2025-01-08T21:28:11","modified_gmt":"2025-01-08T13:28:11","slug":"python%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e4%b8%89%e8%a7%92%e5%bd%a2%e7%9a%84%e9%9d%a2%e7%a7%af","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1135701.html","title":{"rendered":"python\u5982\u4f55\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef"},"content":{"rendered":"

\"python\u5982\u4f55\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\"<\/p>\n

Python\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u65b9\u6cd5\u5b9e\u73b0\uff1a\u4f7f\u7528\u57fa\u672c\u516c\u5f0f\u3001\u6d77\u4f26\u516c\u5f0f\u3001\u5411\u91cf\u65b9\u6cd5\u7b49\u3002<\/strong> \u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u51e0\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\uff0c\u5e76\u4e14\u63d0\u4f9b\u76f8\u5e94\u7684\u4ee3\u7801\u793a\u4f8b\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528\u57fa\u672c\u516c\u5f0f\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef<\/h2>\n<\/p>\n

\u5bf9\u4e8e\u5df2\u77e5\u5e95\u8fb9\u548c\u9ad8\u7684\u4e09\u89d2\u5f62\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u57fa\u672c\u516c\u5f0f\u8ba1\u7b97\u9762\u79ef\u3002\u57fa\u672c\u516c\u5f0f\u4e3a\uff1a<\/p>\n

[ \\text{\u9762\u79ef} = \\frac{1}{2} \\times \\text{\u5e95\u8fb9} \\times \\text{\u9ad8} ]<\/p>\n<\/p>\n

\u4ee3\u7801\u793a\u4f8b<\/h3>\n<\/p>\n

def triangle_area_base_height(base, height):<\/p>\n
    return 0.5 * base * height<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
base = 10<\/p>\n
height = 5<\/p>\n
area = triangle_area_base_height(base, height)<\/p>\n
print(f"\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f: {area}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u8fd9\u79cd\u65b9\u6cd5\u6700\u4e3a\u7b80\u5355\u76f4\u63a5\uff0c\u4f46\u5b83\u8981\u6c42\u5fc5\u987b\u77e5\u9053\u4e09\u89d2\u5f62\u7684\u5e95\u8fb9\u548c\u9ad8\u3002<\/p>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528\u6d77\u4f26\u516c\u5f0f\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef<\/h2>\n<\/p>\n
\u6d77\u4f26\u516c\u5f0f\u9002\u7528\u4e8e\u5df2\u77e5\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u957f\u5ea6\u7684\u60c5\u51b5\u3002\u516c\u5f0f\u4e3a\uff1a<\/p>\n
[ s = \\frac{a + b + c}{2} ]<\/p>\n
[ \\text{\u9762\u79ef} = \\sqrt{s(s-a)(s-b)(s-c)} ]<\/p>\n<\/p>\n
\u4ee3\u7801\u793a\u4f8b<\/h3>\n<\/p>\n
import math<\/p>\n
def triangle_area_heron(a, b, c):<\/p>\n
    s = (a + b + c) \/ 2<\/p>\n
    return math.sqrt(s * (s - a) * (s - b) * (s - c))<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
a = 7<\/p>\n
b = 8<\/p>\n
c = 9<\/p>\n
area = triangle_area_heron(a, b, c)<\/p>\n
print(f"\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f: {area}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u6d77\u4f26\u516c\u5f0f\u7684\u4f18\u52bf\u5728\u4e8e\u5b83\u53ea\u9700\u8981\u77e5\u9053\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\uff0c\u800c\u4e0d\u9700\u8981\u77e5\u9053\u9ad8\u3002<\/p>\n<\/p>\n
\u4e09\u3001\u4f7f\u7528\u5411\u91cf\u65b9\u6cd5\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef<\/h2>\n<\/p>\n
\u5bf9\u4e8e\u7ed9\u5b9a\u4e09\u89d2\u5f62\u4e09\u4e2a\u9876\u70b9\u7684\u5750\u6807\uff0c\u53ef\u4ee5\u4f7f\u7528\u5411\u91cf\u65b9\u6cd5\u8ba1\u7b97\u9762\u79ef\u3002\u516c\u5f0f\u4e3a\uff1a<\/p>\n
[ \\text{\u9762\u79ef} = \\frac{1}{2} \\left| x_1(y_2 – y_3) + x_2(y_3 – y_1) + x_3(y_1 – y_2) \\right| ]<\/p>\n<\/p>\n
\u4ee3\u7801\u793a\u4f8b<\/h3>\n<\/p>\n
def triangle_area_vectors(x1, y1, x2, y2, x3, y3):<\/p>\n
    return 0.5 * abs(x1*(y2 - y3) + x2*(y3 - y1) + x3*(y1 - y2))<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
x1, y1 = 0, 0<\/p>\n
x2, y2 = 6, 0<\/p>\n
x3, y3 = 3, 6<\/p>\n
area = triangle_area_vectors(x1, y1, x2, y2, x3, y3)<\/p>\n
print(f"\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f: {area}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u8fd9\u79cd\u65b9\u6cd5\u7279\u522b\u9002\u5408\u5728\u51e0\u4f55\u8ba1\u7b97\u548c\u56fe\u5f62\u5904\u7406\u9886\u57df\u4f7f\u7528\uff0c\u56e0\u4e3a\u5b83\u53ea\u9700\u8981\u9876\u70b9\u7684\u5750\u6807\u3002<\/p>\n<\/p>\n
\u56db\u3001\u4f7f\u7528NumPy\u5e93\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef<\/h2>\n<\/p>\n
NumPy\u5e93\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u77e9\u9635\u8fd0\u7b97\u529f\u80fd\uff0c\u53ef\u4ee5\u7b80\u5316\u4e09\u89d2\u5f62\u9762\u79ef\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/p>\n<\/p>\n
\u4ee3\u7801\u793a\u4f8b<\/h3>\n<\/p>\n
import numpy as np<\/p>\n
def triangle_area_numpy(vertices):<\/p>\n
    x1, y1 = vertices[0]<\/p>\n
    x2, y2 = vertices[1]<\/p>\n
    x3, y3 = vertices[2]<\/p>\n
    return 0.5 * abs(np.linalg.det(np.array([[x1, y1, 1], [x2, y2, 1], [x3, y3, 1]])))<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
vertices = [(0, 0), (6, 0), (3, 6)]<\/p>\n
area = triangle_area_numpy(vertices)<\/p>\n
print(f"\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f: {area}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4f7f\u7528NumPy\u53ef\u4ee5\u4f7f\u4ee3\u7801\u66f4\u52a0\u7b80\u6d01\u548c\u9ad8\u6548\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u5927\u91cf\u51e0\u4f55\u8ba1\u7b97\u65f6\u3002<\/p>\n<\/p>\n
\u4e94\u3001\u4f7f\u7528SymPy\u5e93\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef<\/h2>\n<\/p>\n
SymPy\u662fPython\u7684\u4e00\u4e2a\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u53ef\u4ee5\u7528\u4e8e\u7cbe\u786e\u7684\u4ee3\u6570\u8ba1\u7b97\u548c\u51e0\u4f55\u8ba1\u7b97\u3002<\/p>\n<\/p>\n
\u4ee3\u7801\u793a\u4f8b<\/h3>\n<\/p>\n
from sympy import symbols, Eq, solve, Point, Triangle<\/p>\n
def triangle_area_sympy(vertices):<\/p>\n
    A = Point(vertices[0])<\/p>\n
    B = Point(vertices[1])<\/p>\n
    C = Point(vertices[2])<\/p>\n
    triangle = Triangle(A, B, C)<\/p>\n
    return triangle.area<\/p>\n
\u793a\u4f8b<\/strong><\/h2>\n
vertices = [(0, 0), (6, 0), (3, 6)]<\/p>\n
area = triangle_area_sympy(vertices)<\/p>\n
print(f"\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u662f: {area}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
SymPy\u63d0\u4f9b\u4e86\u9ad8\u7cbe\u5ea6\u7684\u8ba1\u7b97\u7ed3\u679c\uff0c\u975e\u5e38\u9002\u5408\u9700\u8981\u7cbe\u786e\u6570\u503c\u7684\u5e94\u7528\u3002<\/p>\n<\/p>\n
\u516d\u3001\u6bd4\u8f83\u4e0e\u603b\u7ed3<\/h2>\n<\/p>\n
\u4e0a\u8ff0\u65b9\u6cd5\u5404\u6709\u4f18\u52a3\uff0c\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u53d6\u51b3\u4e8e\u5177\u4f53\u5e94\u7528\u573a\u666f\uff1a<\/p>\n<\/p>\n
    \n
  1. \u57fa\u672c\u516c\u5f0f<\/strong>\uff1a\u9002\u7528\u4e8e\u5df2\u77e5\u5e95\u8fb9\u548c\u9ad8\u7684\u60c5\u51b5\uff0c\u7b80\u5355\u9ad8\u6548\u3002<\/li>\n
  2. \u6d77\u4f26\u516c\u5f0f<\/strong>\uff1a\u9002\u7528\u4e8e\u5df2\u77e5\u4e09\u8fb9\u957f\u5ea6\u7684\u60c5\u51b5\uff0c\u901a\u7528\u6027\u5f3a\u3002<\/li>\n
  3. \u5411\u91cf\u65b9\u6cd5<\/strong>\uff1a\u9002\u7528\u4e8e\u5df2\u77e5\u9876\u70b9\u5750\u6807\u7684\u60c5\u51b5\uff0c\u5c24\u5176\u5728\u51e0\u4f55\u548c\u56fe\u5f62\u5904\u7406\u4e2d\u3002<\/li>\n
  4. NumPy\u5e93<\/strong>\uff1a\u9002\u7528\u4e8e\u9700\u8981\u9ad8\u6548\u77e9\u9635\u8fd0\u7b97\u7684\u60c5\u51b5\uff0c\u4ee3\u7801\u7b80\u6d01\u3002<\/li>\n
  5. SymPy\u5e93<\/strong>\uff1a\u9002\u7528\u4e8e\u9700\u8981\u9ad8\u7cbe\u5ea6\u548c\u7b26\u53f7\u8ba1\u7b97\u7684\u60c5\u51b5\u3002<\/li>\n<\/ol>\n
    \u901a\u8fc7Python\uff0c\u6211\u4eec\u53ef\u4ee5\u7075\u6d3b\u5730\u9009\u62e9\u4e0d\u540c\u7684\u65b9\u6cd5\u6765\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff0c\u4ece\u800c\u6ee1\u8db3\u5404\u79cd\u5b9e\u9645\u9700\u6c42\u3002\u65e0\u8bba\u662f\u7b80\u5355\u7684\u51e0\u4f55\u8ba1\u7b97\u8fd8\u662f\u590d\u6742\u7684\u56fe\u5f62\u5904\u7406\uff0cPython\u90fd\u80fd\u63d0\u4f9b\u5f3a\u5927\u7684\u652f\u6301\u3002<\/p>\n<\/p>\n
    \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
     \u5982\u4f55\u4f7f\u7528Python\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff1f<\/strong>
    \u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u7b80\u5355\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002\u6700\u5e38\u7528\u7684\u516c\u5f0f\u662f\u9762\u79ef = 0.5 * \u5e95 * \u9ad8\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u8f93\u5165\u5e95\u548c\u9ad8\u7684\u503c\uff0c\u5229\u7528Python\u7684\u57fa\u672c\u8fd0\u7b97\u7b26\u5b9e\u73b0\u8fd9\u4e00\u8ba1\u7b97\u3002\u4f8b\u5982\uff1a  <\/p>\n
    base = float(input("\u8bf7\u8f93\u5165\u4e09\u89d2\u5f62\u7684\u5e95: "))\nheight = float(input("\u8bf7\u8f93\u5165\u4e09\u89d2\u5f62\u7684\u9ad8: "))\narea = 0.5 * base * height\nprint("\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a:", area)\n<\/code><\/pre>\n
    \u6709\u6ca1\u6709\u5176\u4ed6\u65b9\u6cd5\u53ef\u4ee5\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff1f<\/strong>
    \u9664\u4e86\u4f7f\u7528\u5e95\u548c\u9ad8\u7684\u516c\u5f0f\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u4f7f\u7528\u6d77\u4f26\u516c\u5f0f\u6765\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002\u6d77\u4f26\u516c\u5f0f\u9002\u7528\u4e8e\u5df2\u77e5\u4e09\u89d2\u5f62\u4e09\u6761\u8fb9\u7684\u60c5\u51b5\u3002\u516c\u5f0f\u4e3a\uff1a\u9762\u79ef = \u221a(s * (s – a) * (s – b) * (s – c))\uff0c\u5176\u4e2ds\u4e3a\u534a\u5468\u957f\uff0ca\u3001b\u3001c\u4e3a\u4e09\u8fb9\u7684\u957f\u5ea6\u3002Python\u4ee3\u7801\u793a\u4f8b\u5982\u4e0b\uff1a  <\/p>\n
    import math\n\na = float(input("\u8f93\u5165\u8fb9\u957fa: "))\nb = float(input("\u8f93\u5165\u8fb9\u957fb: "))\nc = float(input("\u8f93\u5165\u8fb9\u957fc: "))\ns = (a + b + c) \/ 2\narea = math.sqrt(s * (s - a) * (s - b) * (s - c))\nprint("\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a:", area)\n<\/code><\/pre>\n
    \u5728\u8ba1\u7b97\u4e09\u89d2\u5f62\u9762\u79ef\u65f6\uff0c\u5982\u4f55\u5904\u7406\u7528\u6237\u8f93\u5165\u9519\u8bef\uff1f<\/strong>
    \u4e3a\u4e86\u786e\u4fdd\u7528\u6237\u8f93\u5165\u7684\u6709\u6548\u6027\uff0c\u53ef\u4ee5\u4f7f\u7528\u5f02\u5e38\u5904\u7406\u6765\u6355\u83b7\u8f93\u5165\u9519\u8bef\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528try-except\u8bed\u53e5\u6765\u5904\u7406\u975e\u6570\u5b57\u8f93\u5165\u6216\u8d1f\u503c\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u793a\u4f8b\uff1a  <\/p>\n
    try:\n    base = float(input("\u8bf7\u8f93\u5165\u4e09\u89d2\u5f62\u7684\u5e95: "))\n    height = float(input("\u8bf7\u8f93\u5165\u4e09\u89d2\u5f62\u7684\u9ad8: "))\n    if base <= 0 or height <= 0:\n        rAI<\/a>se ValueError("\u5e95\u548c\u9ad8\u5fc5\u987b\u4e3a\u6b63\u6570")\n    area = 0.5 * base * height\n    print("\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u4e3a:", area)\nexcept ValueError as ve:\n    print("\u8f93\u5165\u9519\u8bef:", ve)\n<\/code><\/pre>\n
    \u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u7a0b\u5e8f\u80fd\u591f\u66f4\u597d\u5730\u5f15\u5bfc\u7528\u6237\u5e76\u907f\u514d\u56e0\u65e0\u6548\u8f93\u5165\u800c\u5bfc\u81f4\u7684\u5d29\u6e83\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u65b9\u6cd5\u5b9e\u73b0\uff1a\u4f7f\u7528\u57fa\u672c\u516c\u5f0f\u3001\u6d77\u4f26\u516c\u5f0f\u3001\u5411\u91cf\u65b9\u6cd5\u7b49\u3002 \u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u4ecb […]","protected":false},"author":3,"featured_media":1135706,"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\/1135701"}],"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=1135701"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1135701\/revisions"}],"predecessor-version":[{"id":1135707,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1135701\/revisions\/1135707"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1135706"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1135701"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1135701"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1135701"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}