27 lines
681 B
Python
27 lines
681 B
Python
# /// 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)
|