编写MATLAB代码,在一张画布上同时画出z=sqrt(x^2+y^2)以及x^2+y^2=2x的图像
时间: 2024-10-27 12:10:15 浏览: 37
在MATLAB中,你可以使用`surf`函数绘制三维函数`z = sqrt(x^2 + y^2)`的图,而使用`contourf`或`ezplot`绘制二维方程`x^2 + y^2 = 2x`的等值线图。这里是一个简单的示例代码:
```matlab
% 设置坐标范围
[x_min, x_max] = min(-5, 5);
[y_min, y_max] = min(-5, 5);
[X, Y] = meshgrid(linspace(x_min, x_max, 100), linspace(y_min, y_max, 100));
% 计算三维函数z = sqrt(x^2 + y^2)
Z = sqrt(X.^2 + Y.^2);
% 绘制3D函数
surf(X, Y, Z)
xlabel('X')
ylabel('Y')
zlabel('sqrt(x^2 + y^2)')
title('3D Surface of z = sqrt(x^2 + y^2)')
% 定义并绘制2D方程的等值线
fun = @(x,y) x.^2 + y.^2 - 2*x;
levels = linspace(min(fun(X(:), Y(:))), max(fun(X(:), Y(:))), 10); % 等值线条数
[C, H] = contourf(X, Y, fun(X,Y), levels);
hold on
% 添加轮廓线
contour(C, 'k', 'LineWidth', 1.5)
% 显示标签
colorbar
legend(H, 'Contour plot of x^2 + y^2 = 2x')
% 关闭hold以便后续操作
hold off
% 提问部分
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