20260109_161620_quadratic_vertex-工具openode模型MiniMax21

20260109_161620_quadratic_vertex-工具openode模型MiniMax21/solve.py

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+# /// script
+# requires-python = ">=3.11"
+# dependencies = ["sympy"]
+# ///
+
+import sympy as sp
+
+x = sp.symbols("x", real=True)
+
+a, b, c = -2, 8, -3
+
+y = a * x**2 + b * x + c
+
+vertex_x = -b / (2 * a)
+vertex_y = a * vertex_x**2 + b * vertex_x + c
+
+print("=" * 50)
+print("二次函数 y = -2x² + 8x - 3 求解结果")
+print("=" * 50)
+print(f"\n1. 顶点坐标: ({sp.nsimplify(vertex_x)}, {sp.nsimplify(vertex_y)})")
+print(f"   即: x = {vertex_x}, y = {vertex_y}")
+print(f"\n2. 函数最大值: y = {vertex_y}")
+print(f"   由于 a = -2 < 0，抛物线开口向下，")
+print(f"   顶点为最高点，即为最大值点。")
+print(f"\n3. 对称轴: x = {vertex_x}")
+print("=" * 50)