260109-test

260109-test/20260109_161620_quadratic_vertex-工具openode模型MiniMax21/plot.py

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+# /// script
+# requires-python = ">=3.11"
+# dependencies = ["numpy", "matplotlib"]
+# ///
+
+import numpy as np
+import matplotlib.pyplot as plt
+
+plt.rcParams["font.sans-serif"] = [
+    "WenQuanYi Micro Hei",
+    "Noto Sans CJK SC",
+    "Microsoft YaHei",
+    "DejaVu Sans",
+]
+plt.rcParams["axes.unicode_minus"] = False
+
+fig, ax = plt.subplots(figsize=(10, 7), dpi=150)
+
+x = np.linspace(-1, 5, 500)
+y = -2 * x**2 + 8 * x - 3
+
+ax.plot(x, y, "b-", linewidth=2, label="$y = -2x^2 + 8x - 3$")
+
+vertex_x, vertex_y = 2, 5
+ax.scatter(
+    [vertex_x],
+    [vertex_y],
+    color="red",
+    s=150,
+    zorder=5,
+    label=f"顶点 ({vertex_x}, {vertex_y})",
+)
+ax.annotate(
+    f"顶点 ({vertex_x}, {vertex_y})\n最大值: y = {vertex_y}",
+    xy=(vertex_x, vertex_y),
+    xytext=(vertex_x + 0.8, vertex_y + 1.5),
+    fontsize=11,
+    ha="left",
+    arrowprops=dict(arrowstyle="->", color="red", lw=1.5),
+    bbox=dict(boxstyle="round,pad=0.3", facecolor="yellow", alpha=0.7),
+)
+
+ax.axhline(y=0, color="gray", linestyle="--", linewidth=1, alpha=0.7)
+ax.axvline(x=0, color="gray", linestyle="--", linewidth=1, alpha=0.7)
+ax.axvline(
+    x=vertex_x,
+    color="green",
+    linestyle=":",
+    linewidth=1.5,
+    alpha=0.7,
+    label=f"对称轴 x = {vertex_x}",
+)
+
+ax.set_xlabel("x", fontsize=12)
+ax.set_ylabel("y", fontsize=12)
+ax.set_title("二次函数 $y = -2x^2 + 8x - 3$ 的图像", fontsize=14, fontweight="bold")
+ax.legend(loc="upper right", fontsize=10)
+ax.grid(True, alpha=0.3)
+
+ax.set_xlim(-0.5, 5.5)
+ax.set_ylim(-6, 8)
+
+plt.tight_layout()
+plt.savefig("figure.png", bbox_inches="tight", dpi=150)
+plt.close()
+print("图像已保存: figure.png")