{"id":1017077,"date":"2024-12-27T12:22:17","date_gmt":"2024-12-27T04:22:17","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1017077.html"},"modified":"2024-12-27T12:22:21","modified_gmt":"2024-12-27T04:22:21","slug":"python%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e5%9b%be%e5%bd%a2%e9%9d%a2%e7%a7%af","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1017077.html","title":{"rendered":"python\u5982\u4f55\u8ba1\u7b97\u56fe\u5f62\u9762\u79ef"},"content":{"rendered":"

\"python\u5982\u4f55\u8ba1\u7b97\u56fe\u5f62\u9762\u79ef\"<\/p>\n

Python\u8ba1\u7b97\u56fe\u5f62\u9762\u79ef\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u4e3b\u8981\u5305\u62ec\uff1a\u5229\u7528\u6570\u5b66\u516c\u5f0f\u8ba1\u7b97\u3001\u4f7f\u7528\u6570\u503c\u79ef\u5206\u65b9\u6cd5\u3001\u5e94\u7528\u7b2c\u4e09\u65b9\u5e93\uff08\u5982Shapely\u3001SymPy\uff09\u7b49\u3002<\/strong>\u5728\u8fd9\u4e9b\u65b9\u6cd5\u4e2d\uff0c\u4f7f\u7528\u6570\u5b66\u516c\u5f0f\u662f\u6700\u5e38\u89c1\u7684\u65b9\u5f0f\uff0c\u56e0\u4e3a\u5b83\u5bf9\u4e8e\u7b80\u5355\u7684\u51e0\u4f55\u56fe\u5f62\uff08\u5982\u77e9\u5f62\u3001\u4e09\u89d2\u5f62\u3001\u5706\u5f62\u7b49\uff09\u975e\u5e38\u9ad8\u6548\u3002\u6570\u503c\u79ef\u5206\u65b9\u6cd5\u9002\u7528\u4e8e\u65e0\u6cd5\u76f4\u63a5\u7528\u516c\u5f0f\u8868\u793a\u7684\u590d\u6742\u56fe\u5f62\uff0c\u800c\u7b2c\u4e09\u65b9\u5e93\u5219\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u529f\u80fd\u548c\u66f4\u9ad8\u7684\u7075\u6d3b\u6027\u3002\u4e0b\u9762\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u8fd9\u4e9b\u65b9\u6cd5\u7684\u5177\u4f53\u5b9e\u73b0\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u5229\u7528\u6570\u5b66\u516c\u5f0f\u8ba1\u7b97<\/strong><\/h2>\n

1. \u5e38\u89c1\u51e0\u4f55\u56fe\u5f62\u9762\u79ef\u8ba1\u7b97<\/h2>\n<\/p>\n

\u5bf9\u4e8e\u5e38\u89c1\u7684\u51e0\u4f55\u56fe\u5f62\uff0c\u5982\u77e9\u5f62\u3001\u4e09\u89d2\u5f62\u548c\u5706\u5f62\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u6570\u5b66\u516c\u5f0f\u6765\u8ba1\u7b97\u9762\u79ef\u3002<\/p>\n<\/p>\n

\u77e9\u5f62\u9762\u79ef<\/h3>\n<\/p>\n

\u77e9\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a\u9762\u79ef = \u957f \u00d7 \u5bbd\u3002\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u7684\u51fd\u6570\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n

def rectangle_area(length, width):<\/p>\n
    return length * width<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e09\u89d2\u5f62\u9762\u79ef<\/h3>\n<\/p>\n
\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a\u9762\u79ef = 0.5 \u00d7 \u5e95 \u00d7 \u9ad8\u3002\u5b9e\u73b0\u5982\u4e0b\uff1a<\/p>\n<\/p>\n
def triangle_area(base, height):<\/p>\n
    return 0.5 * base * height<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5706\u5f62\u9762\u79ef<\/h3>\n<\/p>\n
\u5706\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a\u9762\u79ef = \u03c0 \u00d7 \u534a\u5f84\u00b2\u3002\u5728Python\u4e2d\u53ef\u4ee5\u4f7f\u7528math\u5e93\u4e2d\u7684pi\u5e38\u91cf\uff1a<\/p>\n<\/p>\n
import math<\/p>\n
def circle_area(radius):<\/p>\n
    return math.pi * radius  2<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. \u590d\u6742\u591a\u8fb9\u5f62\u9762\u79ef\u8ba1\u7b97<\/h2>\n<\/p>\n
\u5bf9\u4e8e\u4e0d\u89c4\u5219\u7684\u591a\u8fb9\u5f62\uff0c\u53ef\u4ee5\u4f7f\u7528\u5750\u6807\u6cd5\uff08\u53c8\u79f0\u4e3a\u201c\u591a\u8fb9\u5f62\u9762\u79ef\u516c\u5f0f\u201d\uff09\u6765\u8ba1\u7b97\u9762\u79ef\u3002\u5047\u8bbe\u591a\u8fb9\u5f62\u7684\u9876\u70b9\u5750\u6807\u4e3a(x1, y1), (x2, y2), …, (xn, yn)\uff0c\u5219\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<\/p>\n
def polygon_area(vertices):<\/p>\n
    n = len(vertices)<\/p>\n
    area = 0<\/p>\n
    for i in range(n):<\/p>\n
        j = (i + 1) % n<\/p>\n
        area += vertices[i][0] * vertices[j][1]<\/p>\n
        area -= vertices[j][0] * vertices[i][1]<\/p>\n
    return abs(area) \/ 2<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528\u6570\u503c\u79ef\u5206\u65b9\u6cd5<\/strong><\/h2>\n
\u5bf9\u4e8e\u65e0\u6cd5\u7528\u7b80\u5355\u516c\u5f0f\u63cf\u8ff0\u7684\u56fe\u5f62\uff0c\u6570\u503c\u79ef\u5206\u662f\u4e00\u4e2a\u6709\u6548\u7684\u89e3\u51b3\u65b9\u6848\u3002\u6570\u503c\u79ef\u5206\u901a\u8fc7\u5c06\u590d\u6742\u56fe\u5f62\u5206\u5272\u6210\u53ef\u4ee5\u5904\u7406\u7684\u5c0f\u533a\u57df\uff0c\u7136\u540e\u6c42\u548c\u8fd9\u4e9b\u5c0f\u533a\u57df\u7684\u9762\u79ef\u6765\u8ba1\u7b97\u603b\u9762\u79ef\u3002<\/p>\n<\/p>\n
1. \u68af\u5f62\u6cd5<\/h2>\n<\/p>\n
\u68af\u5f62\u6cd5\u662f\u4e00\u79cd\u7b80\u5355\u7684\u6570\u503c\u79ef\u5206\u65b9\u6cd5\uff0c\u901a\u8fc7\u5c06\u66f2\u7ebf\u4e0b\u7684\u533a\u57df\u8fd1\u4f3c\u4e3a\u68af\u5f62\u6765\u8ba1\u7b97\u9762\u79ef\u3002\u53ef\u4ee5\u4f7f\u7528Python\u4e2d\u7684numpy\u5e93\u6765\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n
import numpy as np<\/p>\n
def trapezoidal_rule(f, a, b, n):<\/p>\n
    x = np.linspace(a, b, n)<\/p>\n
    y = f(x)<\/p>\n
    area = np.trapz(y, x)<\/p>\n
    return area<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. Simpson\u6cd5\u5219<\/h2>\n<\/p>\n
Simpson\u6cd5\u5219\u662f\u4e00\u79cd\u66f4\u7cbe\u786e\u7684\u6570\u503c\u79ef\u5206\u65b9\u6cd5\uff0c\u901a\u8fc7\u4f7f\u7528\u629b\u7269\u7ebf\u6765\u8fd1\u4f3c\u66f2\u7ebf\u4e0b\u7684\u533a\u57df\uff1a<\/p>\n<\/p>\n
from scipy.integrate import simps<\/p>\n
def simpson_rule(f, a, b, n):<\/p>\n
    x = np.linspace(a, b, n)<\/p>\n
    y = f(x)<\/p>\n
    area = simps(y, x)<\/p>\n
    return area<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e09\u3001\u5e94\u7528\u7b2c\u4e09\u65b9\u5e93<\/strong><\/h2>\n
Python\u6709\u4e30\u5bcc\u7684\u7b2c\u4e09\u65b9\u5e93\u53ef\u4ee5\u7528\u4e8e\u51e0\u4f55\u8ba1\u7b97\uff0c\u5176\u4e2dShapely\u548cSymPy\u662f\u4e24\u4e2a\u5f3a\u5927\u7684\u5de5\u5177\u3002<\/p>\n<\/p>\n
1. Shapely\u5e93<\/h2>\n<\/p>\n
Shapely\u662f\u4e00\u4e2a\u7528\u4e8e\u64cd\u4f5c\u548c\u5206\u6790\u5e73\u9762\u51e0\u4f55\u5bf9\u8c61\u7684\u5e93\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u8ba1\u7b97\u5404\u79cd\u56fe\u5f62\u7684\u9762\u79ef\uff1a<\/p>\n<\/p>\n
from shapely.geometry import Polygon<\/p>\n
def shapely_polygon_area(vertices):<\/p>\n
    polygon = Polygon(vertices)<\/p>\n
    return polygon.area<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. SymPy\u5e93<\/h2>\n<\/p>\n
SymPy\u662f\u4e00\u4e2a\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u53ef\u4ee5\u7528\u4e8e\u89e3\u6790\u8ba1\u7b97\u51e0\u4f55\u56fe\u5f62\u7684\u9762\u79ef\uff1a<\/p>\n<\/p>\n
from sympy import symbols, integrate<\/p>\n
def sympy_area(f, a, b):<\/p>\n
    x = symbols('x')<\/p>\n
    area = integrate(f, (x, a, b))<\/p>\n
    return area<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u56db\u3001\u4f7f\u7528\u81ea\u5b9a\u4e49\u51fd\u6570\u548c\u7c7b<\/strong><\/h2>\n
\u5728\u9700\u8981\u5904\u7406\u66f4\u590d\u6742\u7684\u51e0\u4f55\u95ee\u9898\u65f6\uff0c\u81ea\u5b9a\u4e49\u51fd\u6570\u548c\u7c7b\u53ef\u4ee5\u63d0\u4f9b\u66f4\u9ad8\u7684\u7075\u6d3b\u6027\u548c\u53ef\u91cd\u7528\u6027\u3002<\/p>\n<\/p>\n
1. \u81ea\u5b9a\u4e49\u51e0\u4f55\u7c7b<\/h2>\n<\/p>\n
\u53ef\u4ee5\u901a\u8fc7\u5b9a\u4e49\u7c7b\u6765\u5c01\u88c5\u51e0\u4f55\u56fe\u5f62\u7684\u5c5e\u6027\u548c\u65b9\u6cd5\uff0c\u4ece\u800c\u63d0\u9ad8\u4ee3\u7801\u7684\u53ef\u8bfb\u6027\u548c\u590d\u7528\u6027\u3002\u4f8b\u5982\uff1a<\/p>\n<\/p>\n
class Rectangle:<\/p>\n
    def __init__(self, length, width):<\/p>\n
        self.length = length<\/p>\n
        self.width = width<\/p>\n
    def area(self):<\/p>\n
        return self.length * self.width<\/p>\n
\u4f7f\u7528\u81ea\u5b9a\u4e49\u7c7b<\/strong><\/h2>\n
rect = Rectangle(10, 5)<\/p>\n
print(rect.area())<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. \u6269\u5c55\u7c7b\u529f\u80fd<\/h2>\n<\/p>\n
\u81ea\u5b9a\u4e49\u7c7b\u8fd8\u53ef\u4ee5\u901a\u8fc7\u7ee7\u627f\u548c\u591a\u6001\u7b49\u9762\u5411\u5bf9\u8c61\u6280\u672f\u6765\u6269\u5c55\u529f\u80fd\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u521b\u5efa\u4e00\u4e2a\u7ee7\u627f\u81ea\u57fa\u672c\u56fe\u5f62\u7c7b\u7684\u591a\u8fb9\u5f62\u7c7b\uff0c\u5e76\u91cd\u5199\u5176\u9762\u79ef\u8ba1\u7b97\u65b9\u6cd5\uff1a<\/p>\n<\/p>\n
class Polygon:<\/p>\n
    def __init__(self, vertices):<\/p>\n
        self.vertices = vertices<\/p>\n
    def area(self):<\/p>\n
        # \u591a\u8fb9\u5f62\u9762\u79ef\u8ba1\u7b97\u5b9e\u73b0<\/p>\n
        pass<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e94\u3001\u7ed3\u5408\u6570\u636e\u53ef\u89c6\u5316<\/strong><\/h2>\n
\u5728\u8ba1\u7b97\u56fe\u5f62\u9762\u79ef\u7684\u8fc7\u7a0b\u4e2d\uff0c\u7ed3\u5408\u6570\u636e\u53ef\u89c6\u5316\u53ef\u4ee5\u5e2e\u52a9\u66f4\u597d\u5730\u7406\u89e3\u51e0\u4f55\u5f62\u72b6\u548c\u9762\u79ef\u5206\u5e03\u3002<\/p>\n<\/p>\n
1. \u4f7f\u7528Matplotlib\u5e93<\/h2>\n<\/p>\n
Matplotlib\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u6570\u636e\u53ef\u89c6\u5316\u5e93\uff0c\u53ef\u4ee5\u7528\u4e8e\u7ed8\u5236\u51e0\u4f55\u56fe\u5f62\u5e76\u5c55\u793a\u5176\u9762\u79ef\uff1a<\/p>\n<\/p>\n
import matplotlib.pyplot as plt<\/p>\n
def plot_polygon(vertices):<\/p>\n
    polygon = plt.Polygon(vertices, closed=True, fill=None, edgecolor='r')<\/p>\n
    plt.gca().add_patch(polygon)<\/p>\n
    plt.xlim(min([v[0] for v in vertices]) - 1, max([v[0] for v in vertices]) + 1)<\/p>\n
    plt.ylim(min([v[1] for v in vertices]) - 1, max([v[1] for v in vertices]) + 1)<\/p>\n
    plt.show()<\/p>\n
<\/code><\/pre>\n<\/p>\n
2. \u52a8\u6001\u5c55\u793a<\/h2>\n<\/p>\n
\u7ed3\u5408\u52a8\u753b\u529f\u80fd\uff0c\u53ef\u4ee5\u52a8\u6001\u5c55\u793a\u6570\u503c\u79ef\u5206\u8fc7\u7a0b\uff0c\u4ece\u800c\u66f4\u76f4\u89c2\u5730\u7406\u89e3\u9762\u79ef\u8ba1\u7b97\u7684\u539f\u7406\u3002<\/p>\n<\/p>\n
import matplotlib.animation as animation<\/p>\n
def animate_area_calculation(f, a, b, n_frames):<\/p>\n
    fig, ax = plt.subplots()<\/p>\n
    x = np.linspace(a, b, 1000)<\/p>\n
    y = f(x)<\/p>\n
    ax.plot(x, y, 'b')<\/p>\n
    def animate(i):<\/p>\n
        ax.clear()<\/p>\n
        ax.plot(x, y, 'b')<\/p>\n
        xi = np.linspace(a, b, i+1)<\/p>\n
        yi = f(xi)<\/p>\n
        ax.fill_between(xi, 0, yi, step='post', alpha=0.4)<\/p>\n
    ani = animation.FuncAnimation(fig, animate, frames=n_frames, repeat=False)<\/p>\n
    plt.show()<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u901a\u8fc7\u4ee5\u4e0a\u591a\u79cd\u65b9\u6cd5\uff0cPython\u53ef\u4ee5\u9ad8\u6548\u5730\u8ba1\u7b97\u4e0d\u540c\u7c7b\u578b\u56fe\u5f62\u7684\u9762\u79ef\u3002\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u53d6\u51b3\u4e8e\u56fe\u5f62\u7684\u590d\u6742\u7a0b\u5ea6\u548c\u5177\u4f53\u9700\u6c42\u3002\u65e0\u8bba\u662f\u7b80\u5355\u7684\u51e0\u4f55\u516c\u5f0f\u8fd8\u662f\u590d\u6742\u7684\u6570\u503c\u65b9\u6cd5\uff0cPython\u90fd\u80fd\u63d0\u4f9b\u5f3a\u5927\u7684\u5de5\u5177\u548c\u7075\u6d3b\u7684\u89e3\u51b3\u65b9\u6848\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
 \u5982\u4f55\u4f7f\u7528Python\u8ba1\u7b97\u4e0d\u540c\u56fe\u5f62\u7684\u9762\u79ef\uff1f<\/strong>
Python\u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u8ba1\u7b97\u4e0d\u540c\u56fe\u5f62\u7684\u9762\u79ef\u3002\u4f60\u53ef\u4ee5\u4f7f\u7528\u5185\u7f6e\u7684\u6570\u5b66\u5e93\u6216\u8005\u81ea\u5b9a\u4e49\u51fd\u6570\u6765\u5b9e\u73b0\u3002\u4f8b\u5982\uff0c\u8ba1\u7b97\u77e9\u5f62\u7684\u9762\u79ef\u53ea\u9700\u5c06\u957f\u548c\u5bbd\u76f8\u4e58\uff0c\u800c\u8ba1\u7b97\u5706\u7684\u9762\u79ef\u5219\u53ef\u4ee5\u4f7f\u7528\u516c\u5f0f\u03c0r\u00b2\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u793a\u4f8b\u4ee3\u7801\uff1a  <\/p>\n
import math\n\ndef rectangle_area(length, width):\n    return length * width\n\ndef circle_area(radius):\n    return math.pi * (radius ** 2)\n\n# \u793a\u4f8b\nprint("\u77e9\u5f62\u9762\u79ef:", rectangle_area(5, 10))\nprint("\u5706\u9762\u79ef:", circle_area(7))\n<\/code><\/pre>\n
Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u5e2e\u52a9\u8ba1\u7b97\u51e0\u4f55\u56fe\u5f62\u7684\u9762\u79ef\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u6709\u4e00\u4e9b\u5e93\u4e13\u95e8\u7528\u4e8e\u6570\u5b66\u548c\u51e0\u4f55\u8ba1\u7b97\u3002\u4f8b\u5982\uff0cNumPy\u548cSymPy\u53ef\u4ee5\u5904\u7406\u590d\u6742\u7684\u6570\u5b66\u8fd0\u7b97\u3002NumPy\u9002\u5408\u5904\u7406\u6570\u7ec4\u548c\u77e9\u9635\u8fd0\u7b97\uff0c\u800cSymPy\u5219\u53ef\u4ee5\u7528\u4e8e\u7b26\u53f7\u6570\u5b66\u8ba1\u7b97\uff0c\u9002\u5408\u9700\u8981\u89e3\u6790\u89e3\u7684\u573a\u666f\u3002\u5229\u7528\u8fd9\u4e9b\u5e93\uff0c\u4f60\u53ef\u4ee5\u66f4\u65b9\u4fbf\u5730\u8ba1\u7b97\u5404\u79cd\u56fe\u5f62\u7684\u9762\u79ef\u3002<\/p>\n
\u5982\u4f55\u5904\u7406\u4e0d\u89c4\u5219\u56fe\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\uff1f<\/strong>
\u5bf9\u4e8e\u4e0d\u89c4\u5219\u56fe\u5f62\uff0c\u53ef\u4ee5\u4f7f\u7528\u6570\u503c\u79ef\u5206\u6216\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\u6765\u4f30\u7b97<\/a>\u9762\u79ef\u3002\u901a\u8fc7\u5728\u56fe\u5f62\u5185\u968f\u673a\u751f\u6210\u70b9\u5e76\u8ba1\u7b97\u8fd9\u4e9b\u70b9\u7684\u6bd4\u4f8b\uff0c\u53ef\u4ee5\u8fd1\u4f3c\u5f97\u51fa\u9762\u79ef\u3002\u4f7f\u7528Python\u7684NumPy\u5e93\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u4ee3\u7801\u793a\u4f8b\u5982\u4e0b\uff1a  <\/p>\n
import numpy as np\n\ndef monte_carlo_area(func, x_min, x_max, y_min, y_max, num_points=10000):\n    points = np.random.rand(num_points, 2)\n    points[:, 0] = points[:, 0] * (x_max - x_min) + x_min\n    points[:, 1] = points[:, 1] * (y_max - y_min) + y_min\n    inside = np.sum(points[:, 1] < func(points[:, 0]))\n    return (inside \/ num_points) * (x_max - x_min) * (y_max - y_min)\n\n# \u793a\u4f8b\ndef curve(x):\n    return x**2  # \u4f8b\u5982y=x\u00b2\nprint("\u4e0d\u89c4\u5219\u56fe\u5f62\u9762\u79ef\u4f30\u7b97:", monte_carlo_area(curve, 0, 1, 0, 1))\n<\/code><\/pre>\n
\u901a\u8fc7\u8fd9\u6837\u7684\u65b9\u5f0f\uff0c\u53ef\u4ee5\u5bf9\u590d\u6742\u6216\u4e0d\u89c4\u5219\u7684\u56fe\u5f62\u8fdb\u884c\u9762\u79ef\u8ba1\u7b97\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u8ba1\u7b97\u56fe\u5f62\u9762\u79ef\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u4e3b\u8981\u5305\u62ec\uff1a\u5229\u7528\u6570\u5b66\u516c\u5f0f\u8ba1\u7b97\u3001\u4f7f\u7528\u6570\u503c\u79ef\u5206\u65b9\u6cd5\u3001\u5e94\u7528\u7b2c\u4e09\u65b9\u5e93\uff08\u5982Shape […]","protected":false},"author":3,"featured_media":1017084,"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\/1017077"}],"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=1017077"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1017077\/revisions"}],"predecessor-version":[{"id":1017085,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1017077\/revisions\/1017085"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1017084"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1017077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1017077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1017077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}