数学建模习题2.5

vvlin / 2024-10-15 / 原文

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

定义参数u和v

u = np.linspace(-2, 2, 400)
v = np.linspace(0, 2 * np.pi, 400)
U, V = np.meshgrid(u, v)

根据参数方程计算x, y, z

x = np.sqrt(1 + U2 + V2) * np.cos(V)
y = np.sqrt(1 + U2 + V2) * np.sin(V)
z = U

创建图形和坐标轴

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

绘制曲面

ax.plot_surface(x, y, z, cmap='viridis', edgecolor='none')

设置坐标轴标签

ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')

显示图形

plt.show()

print("学号:2023310143005")

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

定义参数u和v

u = np.linspace(-2, 2, 400)
v = np.linspace(-2, 2, 400)
U, V = np.meshgrid(u, v)

根据方程计算x, y, z

X, Y = U, V
Z = X2 + Y2

创建图形和坐标轴

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

绘制曲面

ax.plot_surface(X, Y, Z, cmap='viridis', edgecolor='none')

设置坐标轴标签

ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')

显示图形

plt.show()

print("学号:2023310143005")