从给定纬度和经度的固定距离生成随机地理点位

import math
import random

def generate_random_geo_point(lat, lng, distance):
    # 将距离转换为度数
    distance_in_degrees = distance / 111000  # 1度约等于111千米

    # 生成随机的方向角
    direction = random.uniform(0, 360)

    # 根据方向角和距离计算新的经度和纬度
    lat_in_radians = math.radians(lat)
    lng_in_radians = math.radians(lng)
    direction_in_radians = math.radians(direction)

    new_lat_in_radians = math.asin(math.sin(lat_in_radians) * math.cos(distance_in_degrees) +
                                   math.cos(lat_in_radians) * math.sin(distance_in_degrees) * math.cos(direction_in_radians))
    new_lng_in_radians = lng_in_radians + math.atan2(math.sin(direction_in_radians) * math.sin(distance_in_degrees) * math.cos(lat_in_radians),
                                                     math.cos(distance_in_degrees) - math.sin(lat_in_radians) * math.sin(new_lat_in_radians))

    new_lat = math.degrees(new_lat_in_radians)
    new_lng = math.degrees(new_lng_in_radians)

    return new_lat, new_lng

# 示例使用
given_lat = 39.9087
given_lng = 116.3975
given_distance = 1000  # 1000米

random_lat, random_lng = generate_random_geo_point(given_lat, given_lng, given_distance)
print("随机地理点位：", random_lat, random_lng)