01-基石题-test

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严浩
2026-01-09 17:17:01 +08:00
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# /// script
# requires-python = ">=3.11"
# dependencies = ["numpy", "matplotlib"]
# ///
import numpy as np
import matplotlib.pyplot as plt
# 设置字体优先使用中文字体DejaVu Sans 作为 fallback
plt.rcParams['font.sans-serif'] = ['WenQuanYi Micro Hei', 'Noto Sans CJK SC', 'Microsoft YaHei', 'SimHei', 'SimSun', 'DejaVu Sans']
plt.rcParams['axes.unicode_minus'] = False
# 绑定图像尺寸和 DPI
plt.figure(figsize=(8, 6), dpi=150)
# 定义二次函数 y = -2x^2 + 8x - 3
def quadratic_func(x):
return -2*x**2 + 8*x - 3
# 生成x值覆盖关键区域
x = np.linspace(-1, 5, 400)
y = quadratic_func(x)
# 绘制函数曲线
plt.plot(x, y, label=r'$y = -2x^2 + 8x - 3$', color='blue', linewidth=2)
# 标出顶点 (2, 5)
vertex_x, vertex_y = 2, 5
plt.plot(vertex_x, vertex_y, 'ro', markersize=8, label=f'顶点 ({vertex_x}, {vertex_y})')
# 添加网格
plt.grid(True, linestyle='--', alpha=0.6)
# 设置坐标轴标签和标题
plt.xlabel('x', fontsize=12)
plt.ylabel('y', fontsize=12)
plt.title('二次函数 $y = -2x^2 + 8x - 3$ 的图像', fontsize=14)
# 设置坐标轴范围
plt.xlim(-1, 5)
plt.ylim(-5, 7)
# 添加图例
plt.legend()
# 在顶点处添加注释
plt.annotate(f'顶点\n({vertex_x}, {vertex_y})',
xy=(vertex_x, vertex_y),
xytext=(vertex_x + 1.2, vertex_y - 1),
arrowprops=dict(arrowstyle='->', color='red', lw=1.5),
fontsize=12,
color='red',
ha='center')
# 保存图像
plt.savefig('figure.png', bbox_inches='tight')
plt.close()
print("图像已保存: figure.png")